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Solved papers for JEE Main & Advanced JEE Main Online Paper (Held On 23 April 2013)

done JEE Main Online Paper (Held On 23 April 2013) Total Questions - 90

• question_answer1) The ratio of the coefficient of volume expansion of glass container to that of a viscous liquid kept inside the container is 1: 4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures?   [JEE Main Online Paper ( Held On 23  April 2013 )

A)
2: 5

B)
1 : 4

C)
1 : 64

D)
1 : 8

• question_answer2) Correct set up to verify Ohm?s law is :     [JEE Main Online Paper ( Held On 23  April 2013 )

A)

B)

C)

D)

• question_answer3) Wax is coated on the inner wall of a capillary tube and the tube is then dipped in water. Then, compared to the unwaxed capillary, the angel of contact $\theta$and the height h up to which water rises change. These changes are:     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\theta$increases and h also increases

B)
$\theta$decreases and h also decreases

C)
$\theta$increases and h decreases

D)
$\theta$decreases and h increases

• question_answer4)                 A particle of mass 2 kg is moving such hat at time t, its position, in meter, is given by $\overset{\to }{\mathop{\operatorname{r}}}\,(\operatorname{t})=5\hat{i}-2{{\operatorname{t}}^{2}}\hat{j}.$The angular momentum of the particle at $\operatorname{t}=2s$ about the origin in kg ${{\operatorname{m}}^{-2}}$${{\operatorname{s}}^{-2}}$ is :     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
$-80\hat{k}$

B)
$\left( 10\hat{i}-16\hat{j} \right)$

C)
$-40\hat{k}$

D)
$40\hat{k}$

• question_answer5)                 Which of the following statement is Not correct?     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
Ground  wave signals are more stable than the sky wave signals.

B)
The critical frequency of an ionospheric layer is the highest frequency that will be reflected back by the layer when it is vertically incident.

C)
Electromagnetic waves of frequencies higher than about 30 MHz cannot penetrate the ionosphere.

D)
Sky wave signals in the broadcast frequency range are stronger at night than in the day time.

• question_answer6) Electrons are accelerated through a potentialdifference V and protons are acceleratedthrough a potential difference 4 V. The de-Broglie wavelengths are  ${{\lambda }_{e}}$ and ${{\lambda }_{\operatorname{p}}}$ for electrons and protons respectively. The ratio of $\frac{{{\lambda }_{e}}}{{{\lambda }_{\operatorname{P}}}}$ is given by: (given${{\operatorname{m}}_{e}}$is mass of electron and${{\operatorname{m}}_{\operatorname{p}}}$is mass of proton)     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\frac{{{\lambda }_{e}}}{{{\lambda }_{\operatorname{P}}}}=\sqrt{\frac{{{\operatorname{m}}_{\operatorname{p}}}}{{{\operatorname{m}}_{\operatorname{e}}}}}$

B)
$\frac{{{\lambda }_{e}}}{{{\lambda }_{\operatorname{P}}}}=\sqrt{\frac{{{\operatorname{m}}_{e}}}{{{\operatorname{m}}_{\operatorname{P}}}}}$

C)
$\frac{{{\lambda }_{e}}}{{{\lambda }_{\operatorname{P}}}}=\frac{1}{2}\sqrt{\frac{{{\operatorname{m}}_{e}}}{{{\operatorname{m}}_{\operatorname{P}}}}}$

D)
$\frac{{{\lambda }_{e}}}{{{\lambda }_{\operatorname{P}}}}=2\sqrt{\frac{{{\operatorname{m}}_{\operatorname{P}}}}{{{\operatorname{m}}_{e}}}}$

• question_answer7)                 A thin tube sealed at both is 100 cm long. Itlies horizontally, the middle 20 cm contacting mercury and two equal ends containing air at standard atmospheric pressure. If the tube is now turned to a vertical position, by what amount will the mercury be displaced?                                                 (Given: cross section of the tube can be assumed to be uniform)     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
2.95 cm

B)
5.18 cm

C)
8.65 cm

D)
0.0 cm

• question_answer8)                 Which  of the four resistances P, Q, R and S generate the greatest amount of heat when a current flows from A to B?     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
Q

B)
S

C)
P

D)
R

• question_answer9)                 Bob of a simple pendulum of length $l$is mode of iron. The pendulum is oscillating over a horizontal coil carrying direct current. If the time period of the pendulum is T then:     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
$T=2\pi \sqrt{\frac{l}{g}}$and damping is smaller than in air alone.

B)
$T=2\pi \sqrt{\frac{l}{g}}$and damping is larger than in air alone.

C)
$T>2\pi \sqrt{\frac{l}{g}}$and damping is smaller than in air alone.

D)
$T<2\pi \sqrt{\frac{l}{g}}$and damping is larger than in air alone.

• question_answer10)                 The plot given below is the average power delivered to an LRC circuit versus frequency. The quality factor of the circuit is:                   [JEE Main Online Paper ( Held On 23  April 2013 )

A)
5.0

B)
2.0

C)
2.5

D)
0.4

• question_answer11) A rectangular loop of wire, supporting a mass m, hangs with one end in a uniform magnetic filed$\overset{\to }{\mathop{\operatorname{B}}}\,$pointing out of the plane of the paper. A clockwise current is set up such that i> mg/Ba, where a is the width of the loop. Then:                 [JEE Main Online Paper ( Held On 23  April 2013 )

A)
The weight rises due to a vertical force caused by the magnetic field and work is done on the system.

B)
The weight do not rise due to vertical for caused by the magnetic field and work is done on the system.

C)
The weight rises due to a vertical force caused by the magnetic field but no work is done on the system.

D)
The weight rises due to a vertical force caused by the magnetic field and work is extracted from the magnetic field.

• question_answer12)                 A copper wire of length 1.0 m and a steel wire of length 0.5 m having equal cross-sectional areas are joined end to end. The composite wire is stretched by a certain load which stretches the copper wire by 1 mm. if the young?s modulii of copper and steel are respectively $1.0\times {{10}^{11}}{{\operatorname{Nm}}^{-2}}$and$2.0\times {{10}^{11}}\,N{{m}^{-2}}$, the total extension of the composite wire is:     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
1.75 mm

B)
2.0 mm

C)
1.50mm

D)
1.25 mm

• question_answer13)                 500 g of water and 100 g of ice at ${{0}^{0}}\operatorname{C}$are in a calorimeter whose water equivalent is $40g.$$10\,g$of  steam at ${{100}^{0}}C$ is added to it Then water in the calorimeter is : (Latent heat of ice =80 cal/g, Latent heat of stem = 540 cal/g)     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
580g

B)
590gs

C)
600g

D)
610g

• question_answer14)                 A boy of mass 20 kg is standing on a 80 kg free to move long cart. There is negligible friction between cart and ground. Initially, the boy is standing 25 m from a wall. If he walks 10 m on the cart toward the wall, then the final distance of the boy from the wall will be:     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
15 m

B)
12.5 m

C)
15.5 m

D)
17 m

• question_answer15)                 Consider a finite insulated, uncharged conductor placed near a finite positively charged conductor. The uncharged body must have a potential:     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
less than the charged conductor more than at infinity

B)
more than the charged conductor and less than at infinity.

C)
more than the charged conductor and more than at infinity.

D)
less than the charged conductor and less than at infinity

• question_answer16)                 This question has Statement-1 and Statement -2. Of the four choices given after the Statements, choose the one that best describes the two Statements.                 Statement 1: Very large size telescopes are reflecting telescopes instead of refracting telescopes.                 Statement 2: It is easier to provide mechanical support to large size mirrors than large size lenses.     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
Statement1 is true and Statement 2 is false.

B)
Statement1 is false and Statement2 is true.

C)
Statement1 and Statement 2 are true and Statement 2 is correct explanation for Statement 1.

D)
Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation for Statement 1.

• question_answer17)                 A sonometer wire of length 114 cm is fixed at both the ends. Where should the two bridges be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio 1:3:4?     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
At 36 cm and 84 cm from one end

B)
At 24 cm and 72 cm from one end

C)
At 48cm and 96 cm form one end

D)
At 72 cm and 96 cm from one end

• question_answer18) A particle of charge $16\times {{10}^{-16}}$ C moving with velocity  $10{{\operatorname{ms}}^{-1}}$ along $x-$ axis enters enters a region where magnetic field of induction $\overset{\to }{\mathop{\operatorname{B}}}\,$ is along the $y$-axis and an electric field of magnitude ${{10}^{4}}{{\operatorname{V}}^{-1}}$ is along the negative z-axis. If the charged particle continues moving along $x-axis$, the magnitude of magnitude  of $\overset{\to }{\mathop{\operatorname{B}}}\,$is :     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
$16\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}$

B)
$2\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}$

C)
$1\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}$

D)
$4\times {{10}^{3}}\operatorname{Wb}{{\operatorname{m}}^{-2}}$

• question_answer19) A light ray falls on square glass slab as shown in the diagram. The index of refraction of the glass, if total internal reflection is to occur at the vertical face, is equal to:     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\left( \sqrt{2}+1 \right)/2$

B)
$\sqrt{\frac{5}{2}}$

C)
$\frac{3}{2}$

D)
$\sqrt{\frac{3}{2}}$

• question_answer20)                 In the Bohr?s model of hydrogen- like atom the force between the nucleus and the electron is modified as                 $\operatorname{F}=\frac{{{e}^{2}}}{4\pi {{\in }_{0}}}\left( \frac{1}{{{\operatorname{r}}^{2}}}+\frac{\beta }{{{\operatorname{r}}^{3}}} \right),$ Where $\beta$is a constant. For this atom, the radius of the ${{\operatorname{n}}^{\operatorname{th}}}$ orbit in terms of the Bohr radius $\left( {{a}_{0}}\frac{{{\in }_{0}}{{\operatorname{h}}^{2}}}{\operatorname{m}\pi {{e}^{2}}} \right)$ is     [JEE Main Online Paper ( Held On 23  April 2013 )

A)
${{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}\operatorname{n}-\beta$

B)
${{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}{{\operatorname{n}}^{2}}+\beta$

C)
${{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}{{\operatorname{n}}^{2}}-\beta$

D)
${{\operatorname{r}}_{\operatorname{n}}}={{\operatorname{a}}_{0}}\operatorname{n}+\beta$

• question_answer21)                 A projectile of mass M is fired so that the horizontal range is 4 km At the highest point the projectile explodes in two parts of masses M/4 and 3M/4 respectively and the heavier part states falling down vertically with zero initial speed. The horizontal range (distance from point of firing of the lighter part is):     JEE Main Online Paper ( Held On 23  April 2013 )

A)
16 km

B)
1 km

C)
10 km

D)
2 km

• question_answer22)                 If the time period $t$ of the oscillation of a drop of liquid of density $d$radius $r,$vibrating under surface tension s is given by the formula $t=\sqrt{{{r}^{2b}}{{s}^{c}}{{d}^{a/2}}.}$It is observe that the time period is directly proportional to $\sqrt{\frac{d}{s}.}$ The value of $b$ should therefore be:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\frac{3}{4}$

B)
$\sqrt{3}$

C)
$\frac{3}{2}$

D)
$\frac{2}{3}$

• question_answer23)                 A parallel plate capacitor of area 60 ${{\operatorname{cm}}^{2}}$ and separation 3 mm is charged  initially to $90\mu \operatorname{C}.$ If the medium between the plate gets slightly conducting and the plate loses the charge initially at the rate of $2.5\times {{10}^{-8}}\operatorname{C}/s,$ then what is the magnetic field between the plates?     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$2.5\times {{10}^{-8}}\operatorname{T}$

B)
$2.0\times {{10}^{-7}}\operatorname{T}$

C)
$1.63\times {{10}^{-11}}\operatorname{T}$

D)
Zero

• question_answer24)                 This question has statement -1 and statement -2. Of the four choices given after the Statements, choose the one that best describes the two Statements.                 Statement-1: The internal energy of a perfect gas is entirely kinetic and depends only on absolute temperature of the gas and not on its pressure or volume.                 Statement 1: A perfect gas is heated keeping pressure constant pressure is lower than that at constant volume.     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Statement-1 is true, Statement-2 is true, and Statement 2 is the count explanation of Statement 1.

B)
Statement -1 is true, Statement-2 is false.

C)
Statement 1 is true, Statement 2 is true but Statement 2 is not the correct explanation of Statement 1.

D)
Statement -1 is false, Statement -2 is true.

• question_answer25)                 nidentical waves each of intensity ${{\operatorname{I}}_{0}}$ interfere with each other. The ratio of maximum intensities if the interference is (i) coherent and (ii) incoherent is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
${{\operatorname{n}}^{2}}$

B)
$\frac{1}{\operatorname{n}}$

C)
$\frac{1}{{{\operatorname{n}}^{2}}}$

D)
$\operatorname{n}$

• question_answer26)                 A 70 Kg man leaps vertically into the air from a crouching position. To take the leap the man pushes the pushes the ground with a constant force F to raise himself. The center of gravity rises by 0.5 m before he leaps. After the leap the c.g. rises by another 1 m. The maximum power delivered by the muscles is: (Take g=10 $\text{m}{{\text{s}}^{\text{2}}}$).     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\text{6}\text{.26}\times \text{1}{{\text{0}}^{\text{3}}}$ Watts at the start

B)
$\text{6}\text{.26}\times \text{1}{{\text{0}}^{\text{3}}}$ Watts at take off

C)
$\text{6}\text{.26}\times \text{1}{{\text{0}}^{\text{4}}}$ Watts at the start

D)
$\text{6}\text{.26}\times \text{1}{{\text{0}}^{\text{4}}}$ Watts at take off

• question_answer27) A system of four gates is set up as shown. The ?truth table? corresponding to this systemis:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
 A B Y 0 0 1 0 1 0 1 0 0 1 1 1

B)
 A B Y 0 0 0 0 1 0 1 0 1 1 1 0

C)
 A B Y 0 0 1 0 1 0 1 0 1 1 1 0

D)
 A B Y 0 0 1 0 1 1 1 0 0 1 1 0

• question_answer28) A body of mass 'm' is tied to one end of a spring and whirled round in a horizontal plane with a constant angular velocity. The elongation in the spring is 1 cm. If the angular velocity is doubled, elongation in the spring is 5 cm. The original length of the spring is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
15 cm

B)
12 cm

C)
16 cm

D)
10 cm

• question_answer29)                 Select the correct statement form the following:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Electromagnetic waves cannot travel in vacuum

B)
Electromagnetic waves are longitudinal waves

C)
Electromagnetic waves are produced by charge moving with uniform velocity.

D)
 Electromagnetic waves carry both energy and momentum as they processes through space.

• question_answer30) A liquid drop having 6 excess electrons is kept stationary under a uniform electric field of $25.5{{\operatorname{KVm}}^{-1}}$. The density of liquid is$1.26\times {{10}^{3}}$. The radius of the drop is (neglect buoyancy)     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$4.3\times {{10}^{-7}}\operatorname{m}$

B)
$7.8\times {{10}^{-7}}\operatorname{m}$

C)
$0.078\times {{10}^{-7}}\operatorname{m}$

D)
$3.4\times {{10}^{-7}}\operatorname{m}$

• question_answer31) Which of the following polymer is a polyamide?     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Terylene

B)
Nylon

C)
Rubber

D)
vulcanized rubber

• question_answer32)                 The magnetic moment of the complex anion ${{[\operatorname{Cr}(\operatorname{NO})(\operatorname{N}{{\operatorname{H}}_{3}})(\operatorname{C}{{\operatorname{N}}_{4}})]}^{2-}}$is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
5.91 BM

B)
3.87 BM

C)
1.73 BM

D)
2.82 BM

• question_answer33) Glycosidic linkage is actually an:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Carbonyl bond

B)
Ether bond

C)
Ester bond

D)
Amide bond

• question_answer34)                 Equimolar solution of the following compounds are prepared separately in water. Which will have the lowest pH value?     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\operatorname{Be}{{\operatorname{CI}}_{2}}$

B)
$\operatorname{Sr}{{\operatorname{CI}}_{2}}$

C)
$\operatorname{Ca}{{\operatorname{CI}}_{2}}$

D)
${{\operatorname{M}}_{g}}{{\operatorname{CI}}_{2}}$

• question_answer35)                 The numbers of protons, electrons and neutrons in molecule of heavy water are respectively:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
8,10,11

B)
10,10,10

C)
10,11,10

D)
11,10,10

• question_answer36)                 Number of atoms in the following samples of substances is the largest in:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
4.0 g of hydrogen

B)
71.0g chlorine

C)
127.0 g of iodine

D)
48.0g magnesium

• question_answer37)                 Which has bipyramidal shape?     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\operatorname{X}{{\operatorname{eOF}}_{4}}$

B)
$\operatorname{X}{{\operatorname{eO}}_{3}}$

C)
$\operatorname{X}{{\operatorname{eO}}_{3}}{{\operatorname{F}}_{2}}$

D)
$\operatorname{X}\operatorname{eO}{{\operatorname{F}}_{2}}$

• question_answer38)                 Which is the correct order of second ionization potential of C,N, O and F in the following ?     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\operatorname{O}>\operatorname{N}>\operatorname{F}>C$

B)
$O>\operatorname{F}>\operatorname{N}>C$

C)
$\operatorname{F}>\operatorname{O}>\operatorname{N}>C$

D)
$\operatorname{C}>\operatorname{N}>\operatorname{O}>\operatorname{F}$

• question_answer39)                 Natural glucose is termed D-glucose because:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$-OH$on the second carbon is on the right side in Fischer projection

B)
$-OH$n the sixth carbon is on the right side in Fischer projection

C)
$-OH$on the fifth carbon is on the right side in Fischer projection

D)
It is dextrorotatory

• question_answer40)                 The shape of $\operatorname{IF}_{6}^{-}$is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Trgonally distorted octahedron

B)
pyramidal

C)
Octahedral

D)
Square antiprism

• question_answer41)                 ${{\operatorname{N}}_{2}}(g)+3{{\operatorname{H}}_{2}}(g)\rightleftharpoons 2{{\operatorname{NH}}_{3}}(g),{{\operatorname{K}}_{1}}$                                      [A]                          ${{\operatorname{N}}_{2}}(g)+{{O}_{2}}(g)\rightleftharpoons 2NO(g),{{\operatorname{K}}_{2}}$                        [B]                 ${{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\rightleftharpoons {{H}_{2}}O(g),{{\operatorname{K}}_{3}}$                          [C]                 The equation for the equilibrium constant of the reaction $2{{\operatorname{NH}}_{3}}(g)+\frac{5}{2}{{O}_{2}}(g)\rightleftharpoons$$2\operatorname{NH}O(g)+3{{\operatorname{H}}_{3}}\operatorname{O}(g),({{K}_{4}})$ in terms of ${{K}_{1}},{{K}_{2}},$ and ${{K}_{3}}$is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\frac{{{\operatorname{K}}_{1}}{{\operatorname{K}}_{2}}}{{{\operatorname{K}}_{3}}}$

B)
$\frac{{{\operatorname{K}}_{1}}\operatorname{K}_{3}^{2}}{{{\operatorname{K}}_{2}}}$

C)
${{\operatorname{K}}_{1}}{{\operatorname{K}}_{2}}{{\operatorname{K}}_{3}}$

D)
$\frac{{{\operatorname{K}}_{2}}\operatorname{K}_{3}^{3}}{{{\operatorname{K}}_{1}}}$

• question_answer42)                 ${{\operatorname{H}}_{1}}-$Receptor antagonists is a term associated with:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Antisptics

B)
Anti his tam ins

C)
Antacids

D)
Analgesics

• question_answer43)                 The correct order of viscosity of the following liquids will be:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Water < methyl alcohol < dimethyl ether < glycerol

B)
methyl alcohol < glycerol < water < dimethyl ether

C)
dimethyl ether < methyl alcohol < water < glycerol

D)
glycerol< dimethyl ether < water < methyl alcohol

• question_answer44)                 What is the $\operatorname{p}\operatorname{H}$ of a${{10}^{-4}}$ M ${{\operatorname{OH}}^{-}}$ solution at $330\operatorname{K},$ if ${{\operatorname{K}}_{w}}$at 330K is ${{10}^{-13.6}}?$     JEE Main Online Paper ( Held On 23  April 2013 )

A)
4

B)
9.0

C)
10

D)
9.6

• question_answer45)                 The order of reactivity of the given haloalkanes towards nuclephlile is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$R\,I<R\,Br<R\,Cl$

B)
$R\,\,Cl>R\,\,Br>R\,\,I$

C)
$R\,\,Br>R\,\,Cl>R\,\,I$

D)
$R\,\,Br>R\,\,I\,\,>\,R\,\,Cl$

• question_answer46)                 Identify the incorrect statement:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
In${{(\operatorname{S}{{\operatorname{i}}_{3}}{{\operatorname{O}}_{9}})}^{6-}}$, tetrahedral $Si{{O}_{4}}$ units share two oxygen atoms.

B)
Trialkylchlorosilaneon hydrolysis gives ${{R}_{3}}SiOH$

C)
$SiC{{l}_{4}}$undergoes hydrolysis to give ${{H}_{4}}Si{{O}_{4}}$

D)
${{(\operatorname{S}{{\operatorname{i}}_{3}}{{\operatorname{O}}_{9}})}^{6-}}$has cyclic structure

• question_answer47)                 When a small amount of $\operatorname{K}\operatorname{M}\operatorname{n}{{\operatorname{O}}_{4}}$is added to concentrated${{\operatorname{H}}_{2}}\operatorname{S}{{\operatorname{O}}_{4}},$ a green oily compound is obtained which is highly explosive in nature. Compound may be:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\operatorname{M}\operatorname{n}\operatorname{S}{{\operatorname{O}}_{4}}$

B)
$\operatorname{M}{{\operatorname{n}}_{2}}{{\operatorname{O}}_{7}}$

C)
$\operatorname{M}\operatorname{n}{{\operatorname{O}}_{2}}$

D)
$\operatorname{M}{{\operatorname{n}}_{2}}{{\operatorname{O}}_{3}}$

• question_answer48) The reaction of phenol with benzoyl benzoateis known as :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Claisen reaction

B)
Schotten-Baumann reaction

C)
Reimer - Tiemeann reaction

D)
Gatterman- Koch reaction

• question_answer49)                 Identify incorrect statement:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$C{{u}_{2}}O$ is colourless

B)
Cupper (I) compounds

C)
Copper (I) compounds are diamagnetic

D)
${{\operatorname{Cu}}_{2}}\operatorname{S}$ is black

• question_answer50)                 Vapour pressure of pure benzene is 119 torr and that of toluene is 37.0 torr at the same temperature. Mole fraction of toluene in vapour phase which is equilibrium with a solution of benzene and toluene having a mole fraction of toluene 0.50 will be:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
0.137

B)
0.237

C)
0.435

D)
0.205

• question_answer51)                 In a face centred cubic lattice, atoms of A form the corner points and atoms of B form the face  points. If two atoms of A are missing form the corner points, the formula of the ionic compound is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
${{\operatorname{AB}}_{3}}$

B)
${{\operatorname{AB}}_{4}}$

C)
${{\operatorname{A}}_{2}}{{B}_{5}}$

D)
${{\operatorname{AB}}_{2}}$

• question_answer52)                 The de Broglie wavelength of a car of mass 100 kg and velocity 36 km/hr is:                 $(h=6.63\times {{10}^{-34}}\,Js)$     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$6.626\times {{10}^{-34}}\operatorname{m}$

B)
$6.626\times {{10}^{-38}}\operatorname{m}$

C)
$6.626\times {{10}^{-31}}\operatorname{m}$

D)
$6.626\times {{10}^{-30}}\operatorname{m}$

• question_answer53)                 Given:                 $E_{1/2/C{{l}_{2}}/c{{l}^{-}}}^{0}=1.36\,V,\,E_{C{{r}^{3+}}/Cr}^{0}=-0.74\,V$,                 $E_{C{{r}_{2}}O_{7}^{2-}/C{{r}^{3+}}}^{0}=1.33\,V,\,E_{MnO_{4}^{-}/MnO_{{}}^{2+}}^{0}=1.51\,V$                 The correct order of reducing power of the species $(Cr,C{{r}^{3+}},M{{n}^{2+}}\text{and}\,\,C{{l}^{-}})$be:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$M{{n}^{2+}}<C{{l}^{-}}<C{{r}^{3+}}<Cr$

B)
$M{{n}^{2+}}<C{{r}^{3}}^{-}<C{{l}^{-}}<Cr$

C)
$C{{r}^{3+}}<C{{l}^{-}}<M{{n}^{2+}}<Cr$

D)
$C{{r}^{3+}}<C{{l}^{-}}<Cr<M{{n}^{2}}^{+}$

• question_answer54)                 Smoke is an example of:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Solid disperse in solid

B)
Gas dispersed in liquid

C)
Solid dispersed in gas                   Smoke is an example of solid particles dispersed in gas.

D)
Gas dispersed in solid

• question_answer55)                 Which of the following statements/ relationships is not correct in thermodynamic changes?     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\Delta U=0$(isothermal reversible expansion of a gas)

B)
$w=-nRT\ln \frac{{{V}_{2}}}{{{V}_{1}}}$(isothermal reversible expansion of an ideal gas)

C)
$w=-nRT\ln \frac{{{V}_{2}}}{{{V}_{1}}}$(isothermal reversible expansion of an ideal gas)

D)
For a system of constant volume heat involved directly changes to internal energy.

• question_answer56)                 Bond distance in HF is $9.17\times {{10}^{-11}}\operatorname{m}.$ Dipole moment of HF is $6.104\times {{10}^{-30}}\operatorname{Cm}.$ The percent ionic character in HF will be (electron charge = $6.104\times {{10}^{-19}}\operatorname{C}$)     JEE Main Online Paper ( Held On 23  April 2013 )

A)
61.0 %

B)
38.0%

C)
35.5 %

D)
41.5 %

• question_answer57)                 The rate constant of a zero order reaction is $2.0\times {{10}^{-2}}$mol${{\operatorname{L}}^{-1}}$${{\operatorname{s}}^{-1}}$. If the concentration of the reactant after 25 seconds is 0.5 M. What is the initial concentration?   JEE Main Online Paper ( Held On 23  April 2013 )

A)
0.5 M

B)
1.25 M

C)
12.5 M

D)
1.0 M

• question_answer58)                 Which of the following is the product of aldol condensation?     JEE Main Online Paper ( Held On 23  April 2013 )

A)

B)

C)

D)

• question_answer59)                 The order of amines in gaseous state is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
${{1}^{0}}>{{2}^{0}}>{{3}^{0}}>\operatorname{N}{{\operatorname{H}}_{3}}$

B)
${{3}^{0}}>{{2}^{0}}>\operatorname{N}{{\operatorname{H}}_{3}}>{{1}^{0}}$

C)

D)
${{\operatorname{NH}}_{3}}>{{1}^{0}}>{{2}^{0}}>{{3}^{0}}$

• question_answer60)                 Monocarboxylic acids are functional isomers of:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Ethers

B)
Amines

C)
Esters

D)
Alcohols

• question_answer61) The integral $\int{\frac{x\operatorname{d}x}{2-{{x}^{2}}+\sqrt{2-{{x}^{2}}}}}$equals :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\log \left| 1+\sqrt{2+{{x}^{2}}} \right|+C$

B)
$-\log \left| 1+\sqrt{2-{{x}^{2}}} \right|+C$

C)
$-x\log \left| 1-\sqrt{2-{{x}^{2}}} \right|+C$

D)
$x\log \left| 1-\sqrt{2+{{x}^{2}}} \right|+C$

• question_answer62)                 If the curves$\frac{{{x}^{2}}}{\alpha }+\frac{{{y}^{2}}}{4}=1$ and ${{y}^{3}}=16x$ intersect at right angles, then a value of $\alpha$is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
2

B)
$4/3$

C)
$1/2$

D)
$3/4$

• question_answer63)                 Statement 1: The system of linear equations                 $x+(\sin \alpha )y+(\cos \alpha )z=0$                 $x+(\cos \alpha )y+(\sin \alpha )z=0$                 $x-(\sin \alpha )y-(\cos \alpha )z=0$                 has non-trivial solution of only one value of a lying in the interval $0,\frac{\pi }{2}.$                 Statement 2 : The equation in $\alpha$                 $\left| \begin{matrix} \cos \alpha & \sin \alpha & \cos \alpha \\ \sin \alpha & \cos \alpha & \sin \alpha \\ \cos \alpha & -\sin \alpha & -\cos \alpha \\ \end{matrix} \right|=0$                              has only one solution lying in the interval  $\left( 0,\frac{\pi }{2}. \right)$     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Statement 1 is true; Statement 2 is true; Statement 2 is not a correct explanation for Statement 1.

B)
Statement 1 is true; Statement 2 is true; Statement 2 is a correct explanation for Statement 1.

C)
Statement 1 is true; Statement 2 is false.

D)
Statement 1 is false; Statement 2 is true.

• question_answer64)                 For integers m and n both greater than 1, consider the following  three statement:                 P: m divides n                 Q :  m divides  ${{\text{n}}^{2}}$                 R:  m is prime, then     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$Q\wedge R\to P$

B)
$P\wedge Q\to R$

C)
$Q\to R$

D)
$Q\to P$

• question_answer65)                 The sum of the rational terms in the binomial expansion of ${{\left( {{2}^{\frac{1}{2}}}+{{3}^{\frac{1}{5}}} \right)}^{10}}$is     JEE Main Online Paper ( Held On 23  April 2013 )

A)
25

B)
32

C)
9

D)
41

• question_answer66)                 If the extremities of the base of an isosceles triangle are the points (2a, 0) and (0, a) and the equation of one of the sides is $x=2a,$ then the area of the square units, is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\frac{5}{4}{{\operatorname{n}}^{2}}$

B)
$\frac{5}{2}{{\operatorname{n}}^{2}}$

C)
$\frac{25{{a}^{2}}}{4}$

D)
$5{{a}^{2}}$

• question_answer67)                 The sum of the series:             ${{(2)}^{2}}+2{{(4)}^{2}}+3{{(6)}^{2}}+.....\operatorname{upto}10\operatorname{trems}\operatorname{is}:$     JEE Main Online Paper ( Held On 23  April 2013 )

A)
11300

B)
12100

C)
12100

D)
12300

• question_answer68)                 If the circle ${{x}^{2}}+{{y}^{2}}-6x-8y+(25-{{a}^{2}})=0$touches the axis of $x,$ then a equals.     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$0$

B)
$\pm 4$

C)
$\pm 2$

D)
$\pm 3$

• question_answer69)                 If$\operatorname{S}={{\tan }^{-1}}\left( \frac{1}{{{\operatorname{n}}^{2}}+\operatorname{n}+1} \right)+$                 ${{\tan }^{-1}}\left( \frac{1}{{{\operatorname{n}}^{2}}+3\operatorname{n}+3} \right)+.......$                 $+{{\tan }^{-1}}\left( \frac{1}{1+(\operatorname{n}+19)(\operatorname{n}+20)} \right),$then tan S is equal to :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\frac{20}{401+20\operatorname{n}}$

B)
$\frac{\operatorname{n}}{{{\operatorname{n}}^{2}}+20\operatorname{n}+1}$

C)
$\frac{20}{{{\operatorname{n}}^{2}}+20\operatorname{n}+1}$

D)
$\frac{\operatorname{n}}{401+20\operatorname{n}}$

• question_answer70)                 If $\overset{\to }{\mathop{a}}\,$ and $\overset{\to }{\mathop{b}}\,$ are non-collinear vectors, then the value of $\alpha$for which the vectors $\overset{\to }{\mathop{\operatorname{u}}}\,=(\alpha -2)\overset{\to }{\mathop{a}}\,+\overset{\to }{\mathop{b}}\,$and $\overset{\to }{\mathop{\operatorname{v}}}\,=(2+3\alpha )\overset{\to }{\mathop{a}}\,-\overset{\to }{\mathop{3b}}\,$ are collinear is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\frac{3}{2}$

B)
$\frac{2}{3}$

C)
$-\frac{3}{2}$

D)
$-\frac{2}{3}$

• question_answer71)                 The least integral value $a$ of $x$such that$\frac{x-5}{{{x}^{2}}+5x-14}>0$, satisfies:               JEE Main Online Paper ( Held On 23  April 2013 )

A)
${{\alpha }^{2}}+3\alpha -4=0$

B)
${{\alpha }^{2}}-5\alpha +4=0$

C)
${{\alpha }^{2}}-7\alpha +6=0$

D)
${{\alpha }^{2}}+5\alpha -6=0$

• question_answer72)                 A, B,C, try to hit a target simultaneously but independently. Their respective probabilities of hitting the targets are $\frac{3}{4},\frac{1}{2},\frac{5}{8}.$ The probability that the target  is hit by A or B but not by C is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$21/64$

B)
$7/8$

C)
$7/32$

D)
$9/64$

• question_answer73)                 If two lines ${{\operatorname{L}}_{1}}$and ${{\operatorname{L}}_{2}}$ in space, are defined by                 ${{\operatorname{L}}_{2}}=\{x=\sqrt{\lambda }y+(\sqrt{\lambda }-1)\}$                 $z=\left( \sqrt{\lambda }-1 \right)y+\sqrt{\lambda }\}$and                 ${{L}_{2}}=\{x=\sqrt{\mu }y+(1-\sqrt{\mu }),$                 $z=(1-\sqrt{\mu })y+\sqrt{\mu }\},$                 then${{L}_{1}}$ is perpendicular to ${{L}_{2}},$ for all non-negative reals$\lambda$ and $\mu$ such that:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\sqrt{\lambda }+\sqrt{\mu }=1$

B)
$\lambda \ne \mu$

C)
$\lambda +\mu =0$

D)
$\lambda =\mu$

• question_answer74)                 The number of solutions of the equation$\sin 2x-2\cos x+4\sin x=4$in the interval$[0,5\pi ]$is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
3

B)
5

C)
4

D)
6

• question_answer75)                 If the projections of a line segment of the $x,y$and z-axes in 3-dimensional  space are 2, 3 and 6 respectively, the length of the line segment  is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
12

B)
7

C)
9

D)
6

• question_answer76)                 Let a =Im$\left( \frac{1+{{z}^{2}}}{2iz} \right),$where z is any non- zero complex ?complex number.                 The set $\operatorname{A}=\{a:\left| z \right|1\operatorname{and}z\ne \pm 1\}$ is equal to :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
(-1,1)

B)
[-1,1]

C)
[0, 1)

D)
(-1,0]

• question_answer77)                 Let ${{\theta }_{1}}$be the angle between two lines $2x+3y+{{\operatorname{c}}_{1}}=0$and $-x+5y+{{c}_{2}}=0,$and${{\theta }_{2}}$ be the angle between two lines $2x+3y+{{c}_{1}}=0$,  and$-x+5y+{{c}_{3}}=0,$where, ${{c}_{1}},{{c}_{2}},\,\,{{c}_{3}}$are any real numbers :                 Statement 1: If ${{c}_{2}}$ and ${{c}_{3}}$ are proportional, then ${{\theta }_{1}}={{\theta }_{2}}$                 Statement 2: ${{\theta }_{1}}={{\theta }_{2}}$ for all ${{\operatorname{c}}_{2}}$ and ${{\operatorname{c}}_{3}}$     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Statement 1 is true; Statement 2 is true; Statement 2 is a correct explanation for Statement 1.

B)
Statement 1 is true; Statement 2 is true; Statement 2 is not correct explanation for Statement 1.

C)
Statement 1 is false; Statement 2 is true.

D)
Statement 1 is true; Statement 2 is false.

• question_answer78)                 If $f(x)=\sin (\sin x)$and            $f''(x)+\tan xf(x)+g(x)=0,$then g($x$) is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
${{\cos }^{2}}x\cos (\sin x)$

B)
${{\sin }^{2}}x\cos (\cos x)$

C)
${{\sin }^{2}}x\sin (\cos x)$

D)
${{\cos }^{2}}x\sin (\sin x)$

• question_answer79)                 If${{a}_{1}},{{a}_{2}},{{a}_{.3.......}}{{a}_{n}}......$ are in A.P. such that ${{a}_{4}}-{{a}_{7}}+{{a}_{10}}=\operatorname{m},$ then sum of first 13 terms of this A.P., is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
10 m

B)
12 m

C)
13 m

D)
15 m

• question_answer80)                 A tangent to the hyperbola $\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{2}=1$ meets $x-$axis at P and $y-$axis at $Q.$Lines PR and QR are drawn such that OPRQ is a rectangle (where O is the origin). The R lies on:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\frac{4}{{{x}^{2}}}+\frac{2}{{{y}^{2}}}=1$

B)
$\frac{2}{{{x}^{2}}}-\frac{4}{{{y}^{2}}}=1$

C)
$\frac{2}{{{x}^{2}}}+\frac{4}{{{y}^{2}}}=1$

D)
$\frac{4}{{{x}^{2}}}-\frac{2}{{{y}^{2}}}=1$

• question_answer81)                 Let$f$ be a composite function of $x$ defined by  $f(u)=\frac{1}{{{\operatorname{u}}^{2}}+\operatorname{u}-2},\operatorname{u}(x)=\frac{1}{x-1}.$                 Then the number of points $x$ where f of is discontinuous is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
4

B)
3

C)
2

D)
1

• question_answer82)                 The value of  $\int\limits_{-\pi /2}^{\pi /2}{\frac{{{\sin }^{2}}x}{1+{{2}^{x}}}\operatorname{d}}x$is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$\pi$

B)
$\pi /2$

C)
$4\pi$

D)
$\pi /4$

• question_answer83)                 The cost of running a bus from A to B, is $\operatorname{Rs}.\left( \operatorname{av}\frac{\operatorname{b}}{\operatorname{v}} \right),$ where v km/h is the cost speed of the bus. When the bus travels at 30 km /h, the cost comes out to be Rs. 75 while at 40 km/h, it is Rs. 65 Then the most economical speed (in Km/h)of the bus is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
45

B)
50

C)
60

D)
40

• question_answer84)                 The area under the curve$y=\left| \cos x-\sin x \right|,$$0\le x\le \frac{\pi }{2},$and above $x-\operatorname{axis}$ is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$2\sqrt{2}$

B)
$2\sqrt{2}-2$

C)
$2\sqrt{2}+2$

D)
0

• question_answer85)                 Let A, other than I or-I, a$2\times 2$ areal matrix such that${{\operatorname{A}}^{2}}=I,$I being the unit matrix. Let Tr   be the sum of diagonal elements of A.                 Statement 1 :$\operatorname{T}\operatorname{r}(\operatorname{A})=0$                 Statement 1 :$\det (\operatorname{A})=-1$     JEE Main Online Paper ( Held On 23  April 2013 )

A)
Statement 1 is true; Statement 2 is false.

B)
Statement 1 is true; Statement 2 is true; Statement 2 is not correct explanation for Statement 1.

C)
Statement 1 is true; Statement 2 is true; Statement 2 is a correct explanation for Statement 1.

D)
Statement 1 is false; Statement 2 is true.

• question_answer86)                 On the sides AB,BC, CA of                 $\Delta \operatorname{ABC},$ 3, 4, 5 distinct points (excluding vertices A, B, C) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices are:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
210

B)
205

C)
215

D)
220

• question_answer87)                 If the median and the range of four numbers                 $\{x,y,2x+y,x-y\},$ where                 $0<y<x<2y$ are 10 and 28  respectively, then the mean of the numbers is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
18

B)
10

C)
5

D)
14

• question_answer88)                 If curve passes through the point                 $\left( 2,\frac{7}{2} \right)$  and has slope                 $\left( 1-\frac{1}{{{x}^{2}}} \right)$  at any point                 $(x,y)$  on it, then the ordinate of the point on the curve whose abscissa is -2 is:     JEE Main Online Paper ( Held On 23  April 2013 )

A)
$-\frac{3}{2}$

B)
$\frac{3}{2}$

C)
$\frac{5}{2}$

D)
$-\frac{5}{2}$

• question_answer89)                 The point of intersection of the parabola                 ${{y}^{2}}=4x$  at the ends of its latus rectum is     JEE Main Online Paper ( Held On 23  April 2013 )

A)
(0,2)

B)
(3,0)

C)
(0, 3)

D)
(2,0)

• question_answer90)                 Let                 $\operatorname{R}=\{(x,y):x,y\in \operatorname{N}$ and                 ${{x}^{2}}-4xy$                 $+3{{y}^{2}}=0\},$ where N is the set of all natural  numbers. Then the relation R is :     JEE Main Online Paper ( Held On 23  April 2013 )

A)
reflexive but neither symmetric nor transitive

B)
symmetric and transitive.

C)
reflexive and symmetric.

D)
reflexive and transitive.


text:
ISSN 1671-3710
CN 11-4766/R

### Remapped memory trace generates an inhibitory attentional effect

Chuyao Yan; Zhiguo Wang

1. Department of Psychological Sciences, Hangzhou Normal University, 58 Haishu Rd., Hangzhou, China, 311121
Department of Cognitive Science, Macquarie University, 16 University Avenue, Sydney, Australia, 2122
• Online:2016-12-31 Published:2016-12-31

Abstract:

PURPOSE: We perceive a stable visual world despite the retinal image is constantly shifted rapid eye movements (saccades), which normally occur 3-4 times a second. It has been suggested that the brain maintains a stable visual representation by predictively mapping objects to their future retinal loci. Because remapping related neural activation is observed when visual objects are no longer visible before saccades, it is believed that the memory trace of visual objects can also be remapped around saccades. The remapped memory trace has been linked to increased neuronal discharge or enhanced behavioral performance. Here we show that it also generates an inhibitory attentional effect—inhibition of return (IOR)—that is of great importance to e?cient orienting.
METHODS: The participant first fixated a central dot. This dot was then displaced 8 degrees to the left or right, and the participant initiated a saccade to follow it. Around the time of saccade onset, an onset cue was flashed for 30 ms. Eight-hundred milliseconds after the cue onset, a target appeared at either the cued location, the cued retinal locus, or two distance matched control locations, and the participant quickly saccaded to the target. The memory trace of the onset cue was remapped around the first saccade; the behavioral consequence of this memory trace was later revealed by the target. Of great interest to us is whether the memory trace of the cue will also generate an IOR effect, as in tasks in which the cue is presented long before the intervening saccade.
RESULTS: To reveal how IOR evolves as the cue onset time approaches the the ?rst saccade, the time intervals between the cue and the onset of the ?rst saccade were split into four bins. IOR was observed at the cued location in all four bins, including the one in which the cue disappeared only 14 ms before the ?rst saccade.
CONCLUSIONS: The results of the present study show that the remapped memory trace of obejcts can generates not only facilitatory but also inhibitory effects. These effects are both critical to the e?cient sampling of visual information.

format: plain


text:
Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/77097
 Title: The costs of information processing in an information ratchet system Authors: Cheong, Jian Wei Keywords: DRNTU::Science::Physics::Heat and thermodynamicsDRNTU::Science::Physics::Atomic physics::Statistical physics Issue Date: 2019 Abstract: The Landauer's Principle states that the erasure of a bit of information must dissipates $$k_B \ln2$$ amount of entropy. This spawned the field of information thermodynamics, studying how information are processed, and how it relates to the entropy of a thermodynamic system. However, Landauer's Principle fail to account for the structural costs associated with the implementation of the information processing devices, resulting in inefficient information processing. By studying the information ratchet system, which mediates interactions between a heat, work and information reservoirs, the relationship between information changes and energy flows can be quantified. A program is written to simulate the information ratchet system, allowing us to identify the need for a device to synchronise to its environment as a condition for efficient information processing. The existence of an unsurpassable bound that limits efficiency is also found. By studying the transient and modularity dissipations of information processing, it is clear that these device structural costs comes from the dissipation of unaccounted correlations between the device and the information reservoir, and the attempt to minimise these leads to the need for a device to synchronise to its environment. URI: http://hdl.handle.net/10356/77097 Fulltext Permission: restricted Fulltext Availability: With Fulltext Appears in Collections: SPMS Student Reports (FYP/IA/PA/PI)

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# Program

All the talk are given in the “Conference Room” at ICISE.

Day
Sunday, July 30, 2017 Arrival of participants at Seagull Hotel
Break
12:00 – 14:00 Lunch
Break
14:00 – 19:00 Registration
Break
19:00 – 19:30 Welcome cocktail
Break
19:30 – 21:00 Dinner
Day
Monday, July 31, 2017
Break
08:45 – 09:00 Shuttles departure from Seagull Hotel to ICISE
Break
09:00 – 10:00
Break
10:00 – 10:15 Welcome address by Jean Trân Thanh Vân (ICISE)
Break
10:15 – 10:30 Opening
Parallel Sessions
10:30 – 12:00
Place
Default Session Conference Room
Chairperson: Roland Triay (AMU)
Talk
10:30 – 12:00 Conference Room, July, 31
speaker-5963f5712039f Luc Blanchet (IAP) Post-Newtonian Modelling of Inspiralling Compact Binaries

The gravitational wave detectors LIGO/VIRGO have discovered the signals generated by the coalescence of binary black holes at astronomical distances. The theoretical and numerical works on the two-body problem in general relativity play a very important role when deciphering and interpreting the gravitational wave signals. In this talk we present the state-of-the-art on post-Newtonian (PN) methods in GR, applied to the gravitational waveform generated during the inspiralling phase of coalescing black hole binaries. In particular we discuss recent developments on the fourth post-Newtonian (4PN) approximation, both for the equations of motion [1]–[3] and the gravitational radiation field [4].

References

[1] Laura Bernard, Luc Blanchet, Alexandre Bohé, Guillaume Faye and Sylvain Marsat, Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation, Phys. Rev. D, 93, (2016).

[2] Laura Bernard, Luc Blanchet, Alexandre Bohé, Guillaume Faye and Sylvain Marsat, Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order, Phys. Rev. D, 95, 044026 (2017).

[3] Laura Bernard, Luc Blanchet, Alexandre Bohé, Guillaume Faye and Sylvain Marsat, Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order, submitted to Phys. Rev. D (2017).

[4] Tanguy Marchand, Luc Blanchet and Guillaume Faye, Gravitational-wave tail effects to quartic non-linear order, Class. and Quant. Gravity 33, 244003 (2016).

Break
12:00 – 14:00 Lunch
Parallel Sessions
14:00 – 17:30
Place
Default Session Conference Room
Chairperson: Roland Triay (AMU)
Talk
14:00 – 14:45 Conference Room, July, 31
speaker-597fb1061b915 Luc Blanchet (IAP) Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order

We present the first complete (i.e., ambiguity-free) derivation of the equations of motion of two non-spinning compact objects up to the 4PN order, based on the Fokker action of point particles in harmonic coordinates. The last ambiguity parameter is determined from first principle, by resorting to a matching between the near zone and far zone fields, and a consistent computation of the 4PN tail effect in d dimensions. Dimensional regularization is used throughout for treating IR divergences appearing at 4PN order, as well as UV divergences due to the model of point particles describing compact objects.

Talk
14:45 – 15:30 Conference Room, July, 31
speaker-59781e6e8a865 Dorota Rosinska (UZ) A new view on differentially rotating neutron stars and strange stars in GR

A newly born, proto-neutron star or a compact remnant of neutron stars binary merger are expected to rotate differentially and to be important sources of gravitational radiation. A highly accurate, multidomain spectral code is used in order to construct sequences of general relativistic, differentially rotating neutron stars in axisymmetry and stationarity.  The high level of accuracy and stability of the code enable us to investigate the solution space corresponding to broad ranges of degree of differential rotation and stellar densities. We find new types of configurations, which were not considered in previous work, mainly due to numerical limitations. We review studies on properties of differentially rotating neutron stars and strange stars in GR.

Break
15:30 – 16:00 Coffee break
Talk
16:00 – 16:45 Conference Room, July, 31
speaker-597fb2b5b1e6d Shinji Mukohyama (YITP, Kyoto U) Jeans' Ghost

We show that a massless canonical scalar field minimally coupled to general relativity can become a tachyonic ghost at low energies around a background in which the scalar's gradient is spacelike. By performing a canonical transformation we demonstrate that this low energy ghost can be recast, at the level of the action, in a form of a fluid that undergoes a Jeans-like instability affecting only modes with large wavelength. This illustrates that low energy tachyonic ghosts do not lead to a catastrophic quantum vacuum instability, unlike the usual high-energy ghost degrees of freedom.

Talk
16:45 – 17:30 Conference Room, July, 31
speaker-5935081894969 Shinji Mukohyama (YITP, Kyoto U) Towards a new scenario of inflationary magnetogenesis

In the context of a $U(1)$ gauge theory nonminimally coupled to scalar-tensor gravity, we find a cosmological attractor solution that represents a de Sitter universe with a homogeneous magnetic field. The solution fully takes into account backreaction of the magnetic field to the geometry and the scalar field. Such a solution is made possible by scaling-type global symmetry and fine-tuning of two parameters of the theory. If the fine-tuning is relaxed then the solution is deformed to an axisymmetric Bianchi type-I universe with constant curvature invariants, a homogeneous magnetic field and a homogeneous electric field. Implications to inflationary magnetogenesis are briefly discussed.

References

[1] S.~Mukohyama, “Stealth magnetic field in de Sitter spacetime,” Phys.\ Rev.\ D 94, no. 12, 121302 (2016) doi:10.1103/PhysRevD.94.121302 [arXiv:1607.07041 [hep-th]].

Break
17:30 – 18:00 Shuttles departure from ICISE to Seagull Hotel
Break
18:00 – 19:00
Break
19:00 – 20:30 Dinner
Day
Tuesday, August 1, 2017
Break
07:45 – 08:00 Shuttles departure from Seagull Hotel to ICISE
Break
08:00 – 08:30
Parallel Sessions
08:30 – 12:00
Place
Default Session Conference Room
Chairperson: Shinji Mukohyama (YITP, Kyoto U)
Break
08:30 – 09:00
Talk
09:00 – 10:00 Conference Room, August, 1
speaker-5979a5aa1cf9e Ken-ichi Nakao (OCU) On the stability of a superspinar

This talk is based on the study in collaboration with P.S. Joshi, J. Guo, P. Kocharlakota, H. Tagoshi, T. Harada, M. Patil and A. Krolak [1]. The superspinar proposed by Gimon and Ho$\check{\rm r}$ava is a rapidly rotating compact entity whose exterior is described by the over-spinning Kerr geometry. The compact entity itself is expected to be governed by superstringy effects, and in astrophysical scenarios it can give rise to interesting observable phenomena. Earlier it was suggested that the superspinar may not be stable but we point out here that this does not necessarily follow from earlier studies. We show, by analytically treating the Teukolsky equations by Detwiler's method, that in fact there are infinitely many boundary conditions that make the superspinar stable, and that the modes will decay in time. It follows that we need to know more on the physical nature of the superspinar in order to decide on its stability in physical reality.

References

[1] P.S. Joshi, J. Guo, P. Kocharlakota, H. Tagoshi, T. Harada, M. Patil and A. Krolak, arXiv: 1707.07242.

Break
10:00 – 10:30 Coffee break
Talk
10:30 – 11:15 Conference Room, August, 1
speaker-5935083f658ec Masashi Yamazaki (NU) Relativistic Stars in dRGT Massive Gravity

In our research [1], we construct solutions describing static and spherical relativistic stars in the minimal model of the de Rham-Gabadadz-Tolley (dRGT) massive gravity. A new equation, derived from consistency conditions, determines the behavior of a extra degree of freedom. By numerical calculation, we show that the maximal mass in massive gravity is smaller than that in general relativity for several equations of state. The results could be consistent with previous studies [2] on the energy scales in which non-linear kinetic terms appear. Moreover, we report the studies of relativistic stars in the non-minimal model of the theory.

References

[1] Taishi Katsuragawa, Shin'ichi Nojiri, Sergei D. Odintsov, and Masashi Yamazaki, Relativistic stars in de Rham-Gabadadze-Tolley massive gravity, Phys. Rev. D 93, 124013.

[2] Sébastien Renaux-Petel, On the Vainshtein mechanism in the minimal model of massive gravity, JCAP 1403 (2014) 043

Talk
11:15 – 12:00 Conference Room, August, 1
speaker-597ca6ec965ed Sousuke Noda (Nagoya Univ.) Wave optics in the Kerr spacetime

We discuss the wave scattering by a Kerr black hole. We assume that the wave source is a point source emitting a massless scalar wave, and the wavelength is much shorter than the size of the black hole. In the scattered wave, we see two diamond-shaped optical caustics associated with two different wave modes, which correspond to geodesic motions in the Kerr spacetime: direct light rays of which impact parameters are sufficient large and reach an observer, and winded light rays which wind around the photon sphere, then reach an observer. By taking the Fourier transform of the scattered waves, we obtain the images of the point source. Then, we discuss the relation between the position of the observer and the number of image. References

References

[1] Y. Nambu, S Noda, ”Wave optics in the black hole spacetimes: Schwarzschild case”, Class. Quant. Grav. 33, 75011 (2016) [gr-qc/1502.05468].

[2] S Noda, Y Nambu ”Wave optics in the black hole spacetimes: Kerr case” in prep,

Break
12:00 – 14:00 Lunch
Parallel Sessions
14:00 – 17:30
Place
Default Session Conference Room
Chairperson: Luc Blanchet (IAP)
Talk
14:00 – 15:30 Conference Room, August, 1
speaker-597a04569ce43 Shinji Mukohyama (YITP, Kyoto U) Updates on massive gravity cosmology

The search for a consistent theory of finite-range gravity is a longstanding problem and well motivated by both theoretical and observational considerations. On the theoretical side, whether there exists such a consistent extension of general relativity by a mass term is a basic question of classical field theory. On the observational side, continuing experimental probes of gravity have revealed new unexpected phenomena at large scales. One of the most profound discovery is the cosmic acceleration, which was found in 1998. The extremely tiny energy-scale associated with the cosmic acceleration hints that gravity might need to be modified at long distances. The massive gravity is one of the most interesting attempts in this direction. In this talk, after briefly reviewing the history of massive gravity, I will describe cosmological solutions and their stability, including some recent updates such as the status of quasidilaton theories and Lorentz-violating massive gravity.

References

[1] A. De Felice and S. Mukohyama, “Graviton mass might reduce tension between early and late time cosmological data,” Phys. Rev. Lett. 118, no. 9, 091104 (2017) doi:10.1103/PhysRevLett.118.091 [arXiv:1607.03368 [astro-ph.CO]].

[2] A. De Felice, S. Mukohyama and M. Oliosi, “Minimal theory of quasidilaton massive gravity,” Phys. Rev. D 96, no. 2, 024032 (2017) doi:10.1103/PhysRevD.96.024032 [arXiv:1701.01581 [hep-th]].

[3] C. Mazuet, S. Mukohyama and M. S. Volkov, “Anisotropic deformations of spatially open cosmology in massive gravity theory,” JCAP 1704, no. 04, 039 (2017)doi:10.1088/1475-7516/2017/04/039 [arXiv:1702.04205 [hep-th]].

[4] A. De Felice, S. Mukohyama and J. P. Uzan, “Extending bimetric models of massive gravity to avoid to rely on the Vainshtein mechanism on local scales and the Higuchi bound on cosmological scales,” arXiv:1702.04490 [hep-th].

[5] A. E. Gumrukcuoglu, K. Koyama and S. Mukohyama, “Stable cosmology in ghost-free quasidilaton theory,” arXiv:1707.02004 [hep-th].

Break
15:30 – 16:00 Coffee break
Talk
16:00 – 16:45 Conference Room, August, 1
speaker-59378d5299652 Kenta Kiuchi (YITP) Numerical modeling of binary neutron star mergers

I will talk about a recent progress of numerical modeling of binary neutron star mergers. Specifically, I will review a merger process composed of the inspital-late inspiral phase, the merger phase, and the post-merger phase and scientific targets of each phases.

Break
16:45 – 17:00 Discussions
Talk
17:00 – 17:30 Conference Room, August, 1
speaker-598148a4687ce Dorota Rosinska (UZ) Virgo news
Break
17:30 – 18:00 Shuttles departure from ICISE to Seagull Hotel
Break
18:00 – 19:00
Break
19:00 – 20:30 Dinner
Day
Wednesday, August 2, 2017
Break
08:00 – 12:00 Excursion
Break
12:00 – 13:30 Lunch
Break
13:30 – 13:45 Shuttles departure from Seagull Hotel to ICISE
Break
13:45 – 14:00
Break
14:00 – 17:30 Free Activities
Break
17:30 – 18:00 Shuttles departure from ICISE to Seagull Hotel
Break
18:00 – 19:00
Break
19:00 – 20:30 Dinner
Day
Thursday, August 3, 2017
Break
07:45 – 08:00 Shuttles departure from Seagull Hotel to ICISE
Break
08:00 – 08:30
Parallel Sessions
08:30 – 12:00
Place
Default Session Conference Room
Chairperson: Shinji Mukohyama (YITP, Kyoto U)
Talk
08:30 – 10:00 Conference Room, August, 3
speaker-5937b698d5313 Yuichiro Sekiguchi (Toho Univ.) Numerical Relativity simulations of neutron-star binaries in Kyoto group

The first direct detection of gravitational waves (GW) in GW150914 by advanced LIGO, opened the door to the era of gravitational-wave astronomy in which the universe is explored by means of GW. Binary neutron star (NS) systems, such as binary neutron stars and black hole-neutron star binaries, are also ones of the promising candidates of GW sources. If observed, GW from these NS binaries will present very exciting prospects.GW can be probes of the equation of state of NS matter which is still poorly understood.A long-standing puzzle on the central engine of short gamma-ray bursts could be resolvedif GW from a NS binary and a gamma-ray burst are observed simultaneously.Furthermore, the mergers of NS binaries also attract attention as a r-process nucleosynthesis sitewhich proceeds in the neutron-rich materials ejected in the merger.This is also important as a possible electro-magnetic counterpart to GW, because the ejecta will heated by the radioactive decay and fission of these r-process elements and would shine atoptical and infra-red bands in 1‚àí10 days after the merge.Motivated by these facts, we have performed numerical relativity simulations of mergers of NS binaries.I will talk recent developments on some topics listed above in our group and discuss future prospects.

Break
10:00 – 10:30 Coffee break
Talk
10:30 – 11:15 Conference Room, August, 3
speaker-5935082248b3d Ken-ichi Nakao (OCU) Non-linear collisional Penrose process. How large energy can a black hole release?

This talk is based on the study in collaboration with Hirotada Okawa and Kei-ichi Maeda [1]. Energy extraction from a rotating or charged black hole is one of fascinating issues in general relativity. The collisional Penrose process is one of such extraction mechanisms and has been reconsidered actively since the publication of Ref.~[Banados2009]. In order to get results analytically, the test particle approximation is adopted so far. Successive works based on this approximation scheme have not yet revealed the upper bound on the efficiency of the energy extraction[Zaslavskii2012,Nemoto2013,Berti2014]. In this paper, we investigate the collisional Penrose process of infinitesimally thin charged shells in the Reissner-Nordstr\"{o}m spacetime by fully taking into account the self-gravity of the shells, and show that there is an upper bound on the extracted energy, which is consistent to the area law of the black hole. We also show a particular scenario in which the almost maximum energy extraction is achieved.

References

[1] K. Nakao, H. Okawa and K. Maeda, Nonlinear collisional Penrose process, in preparation. %ys. Rept. 261 (1995) 1 [Erratum ibid 281 (1997) 399] [hep-ph/9501369].

[Banados2009] M. Banados, J. Silk and S. M. West, Phys. Rev. Lett. 103, 111102 (2009), [0909.0169].

[Zaslavskii2012] O. B. Zaslavskii, Phys. Rev. D 86, 124039 (2012), [1207.5209]. %%CITATION = ARXIV:1207.5209;%%

[Nemoto2013] H. {Nemoto}, U. {Miyamoto}, T. {Harada} and T. {Kokubu}, Phys. Rev. D 87, 127502 (2013), [1212.6701].

[Berti2014] E. Berti, R. Brito and V. Cardoso, Phys. Rev. Lett. 114, 251103 (2015), [1410.8534].

Talk
11:15 – 12:00 Conference Room, August, 3
speaker-5935080454da9 Steven Kauffmann (APS) Acceleration of Dust-Ball Expansion due to GR Gravitational Time Dilation

Though the expansion of a simple FLRW dust ball always decelerates in Newtonian gravitational dynamics, in GR, when the dust ball's radius insufficiently exceeds the Schwarzschild value, its expansion instead accelerates because the dominant gravitational time-dilation braking of its expansion speed weakens as it expands. But in “comoving coor dinates” the fixing of $g_{00}$ to unity eliminates all gravitational time dilation, producing the purely Newtonian Friedmann dust-ball equation of motion in those “coordinates”. For a particular initial condition Oppenheimer and Snyder remedied the GR-inconsistent purely- Newtonian dust-ball behavior in “comoving coordinates” by their famed analytic transformation to GR-compatible “standard” coordinates. Recent extension of their transformation to arbitrary dust- ball initial conditions enables the derivation of GR-consistent non- Newtonian equations of motion in “standard” coordinates for all shell radii of any simple FLRW dust ball. These show not only that a dust ball's expansion always accelerates when its radius insufficient ly exceeds the Schwarzschild value, but also that for a range of ini tial conditions a dust ball's expansion never ceases to accelerate (although that acceleration asymptotically decreases toward zero), ap parently eliminating any need for a nonzero “dark energy” cosmologi cal constant.

Break
12:00 – 14:00 Lunch
Parallel Sessions
14:00 – 16:45
Place
Default Session Conference Room
Chairperson: Yuichiro Sekiguchi (Toho Univ.)
Talk
14:00 – 15:30 Conference Room, August, 3
speaker-59781e0ebf294 Dorota Rosinska (UZ) Binary black holes from Globular Cluster as sources of gravitational waves

The direct detection of gravitational waves from binary black hole mergers by the advanced Laser Interferometer Gravitational-Wave Observatories has ushered astrophysics into a new era of observing cosmic events that were previously invisible.  Using results for around two thousand star cluster models simulated using well-tested the MOCCA Monte Carlo code for star cluster evolution we determine the astrophysical properties and the local and comological merger rate densities for coalescing binary black holes (BBHs) originating from globular clusters. Our models cover different initial parameters (masses,metalicities, densities etc). We extracted information for all coalescing binary black holes (BBHs) that merge via gravitational radiation from these Globular Cluster (GC) models and for those BHs that collide due to 2-body, 3-body and 4-body dynamical interactions. In my talk I will focus on the importance of BBH mergers originating from GC for gravitational wave observations. The impact of the intermediate black holes that are dynamically formed in 30% GC models will be discussed.

Break
15:30 – 16:00 Coffee break
Talk
16:00 – 16:45 Conference Room, August, 3
speaker-5936a6ac15807 Joseph Fedrow (YITP) Gravitational Waves from Binary Black Hole Mergers Inside of Stars

We present results from a controlled numerical experiment investigating the effect of stellar density gas on the coalescence of binary black holes (BBHs) and the resulting gravitational waves (GWs). This investigation is motivated by the proposed stellar core fragmentation scenario for BBH formation and the associated possibility of an electromagnetic counterpart to a BBH GW event. We employ full numerical relativity coupled with general-relativistic hydrodynamics and set up a $30 + 30 M_\odot$ BBH (motivated by GW150914) inside gas with realistic stellar densities. Our results show that at densities $\rho > 10^6 - 10^7 \, \mathrm{g \, cm}^{-3}$ dynamical friction between the BHs and gas changes the coalescence dynamics and the GW signal in an unmistakable way. We show that for GW150914, LIGO observations conclusively rule out BBH coalescence inside stellar gas of $\rho > 10^7 \,\mathrm{g\,cm}^{-3}$. Typical densities in the collapsing cores of massive stars are in excess of this density. This excludes the fragmentation scenario for the formation of GW150914.

Break
16:45 – 17:00 Shuttles departure from ICISE to Seagull Hotel
Break
17:00 – 18:00
Break
18:00 – 18:30 Shuttles departure from Seagull Hotel to ICISE
Break
18:30 – 19:00 description to be given…
Break
19:00 – 21:00 Conference Dinner at ICISE
Break
21:00 – 21:15 Shuttles departure from ICISE to Seagull Hotel
Day
Friday, August 4, 2017
Break
07:45 – 08:00 Shuttles departure from Seagull Hotel to ICISE
Break
08:00 – 08:30
Parallel Sessions
08:30 – 12:00
Place
Default Session Conference Room
Chairperson: Ken-ichi Nakao (OCU)
Talk
08:30 – 10:00 Conference Room, August, 4
speaker-5977ed2de167b Luc Blanchet (IAP) The first law of binary point-particle mechanics at 4PN order

We derive the first law of binary point-particle mechanics for generic bound (i.e. eccentric) orbits at the fourth post-Newtonian (4PN) order, accounting for the non-locality in time of the dynamics due to the occurence of a gravitational-wave tail effect at that order. Using this first law, we show how the periastron advance of the binary system can be related to the averaged redshift of one of the two bodies, in the circular orbit limit. Combining this expression with existing analytical self-force results for the averaged redshift, we recover the known 4PN expression for the circular-orbit periastron advance, to linear order in the mass ratio.

Break
10:00 – 10:30 Coffee break
Talk
10:30 – 11:15 Conference Room, August, 4
speaker-597820238e8a1 Tuan Do (VNU) On the fate of cosmic no-hair conjecture in an anisotropically inflating model

We will present basic results of our recent studies on the fate of Hawking's cosmic no-hair conjecture in the framework of anisotropically inflating model proposed by Kanno, Soda, and Watanabe. In particular, we will point out that the cosmic no-hair conjecture seems to be generally violated in the Kanno-Soda-Watanabe model for both canonical and non-canonical scalar fields $\phi$ due to the existence of an unusual coupling term $-f^2(\phi)F_{\mu\nu}F^{\mu\nu}$. However, we will show that the cosmic no-hair conjecture will remain its validity once a phantom scalar field $\psi$, whose kinetic energy term is negative definite, is introduced into the Kanno-Soda-Watanabe model.

Talk
11:15 – 12:00 Conference Room, August, 4
speaker-59589c4d6d280 Sousuke Noda (Nagoya Univ.) Analog rotating black holes in a MHD inflow

We present a model of the analog geometry in a MHD flow (magnetoacoustic geometry) based on [1]. To investigate the properties of the magnetoacoustic geometry, we consider a two-dimensional axisymmetric inflow and examine the behavior of magnetoacoustic rays which is a counterpart of the MHD waves in the eikonal limit. We find that the magnetoacoustic geometry is classified into three types depending on two parameters characterizing the background flow: analog spacetimes of rotating black holes, ultra spinning stars with ergoregions which can evoke ergoregion instability, and spinning stars without ergoregions.

References

[1] S. Noda, Y. Nambu and M. Takahashi, ”Analog rotating black holes in a magnetohydrodynamic inflow”, Phys. Rev. D. 95, 104055 (2017) [gr-qc /1610.06690].

[2] W. G. Unruh, ”Experimental black-hole evaporation?”, Phys. Rev. Lett. 46, (1981) 1351–1353.

[3] C. Barcelo, S. Liberati, and M. Visser, ”Analogue Gravity”, Living Rev. Rel. 8, 12 (2005) [Living Rev. Rel. 14, 3 (2011)] [gr-qc/0505065].

Break
12:00 – 14:00 Lunch
Parallel Sessions
14:00 – 18:00
Place
Default Session Conference Room
Chairperson: Dorota Rosinska (UZ)
Talk
14:00 – 14:45 Conference Room, August, 4
speaker-593507e25719d Tuan Do (VNU) Higher dimensional massive (bi-)gravity: constructions and solutions

We will present main results of our recent investigations on higher dimensional massive gravity~[1] and bi-gravity~[2]. In particular, we will show an effective method based on the well-known Cayley-Hamilton theorem to construct higher dimensional massive interaction terms. Then, we will focus on five-dimensional massive (bi-)gravity as specific demonstrations. In particular, we will show the corresponding Einstein and constraint equations for five-dimensional massive (bi-)gravity. Then, a number of cosmological solutions of five-dimensional massive (bi-)gravity will be presented accordingly.

References

[1] T.Q. Do, Higher dimensional nonlinear massive gravity, Phys. Rev. D { 93} (2016) 104003, PhysRevD.93.104003 [arXiv:1602.05672].

[2] T.Q. Do, Higher dimensional massive bigravity, Phys. Rev. D { 94} (2016) 044022, PhysRevD.94.044022 [arXiv:1604.07568].

Talk
14:45 – 15:30 Conference Room, August, 4
speaker-59781f9908a0b Steven Kauffmann (APS) Unit-Jacobian Coordinate Transformations:The Superior Consequence of the Little-Known Einstein-Schwarzschild Coordinate Condition

Because the Einstein equation can't uniquely determine the metric, it must be supplemented by additional metric constraints. Since the Einstein equation can be derived in a purely special-relativistic context, those constraints (which can't be generally covariant) should be Lorentz-covariant; moreover, for the effect of the constraints to be natural from the perspective of observational and empirical physical scientists, they should also constrain the general coordinate transformations (which are compatible with the unconstrained Einstein equation) so that the constrained transformations manifest a salient feature of the Lorentz transformations. The little-known Einstein-Schwarzschild coordinate condition, which requires the metric's determinant to have its -1 Minkowski value, thereby constrains coordinate transformations to have unit Jacobian, and for that reason causes tensor densities to transform as true tensors, which is a salient feature of the Lorentz transformations. The Einstein-Schwarzschild coordinate condition also allows the static Schwarzschild solution's singular radius to be exactly zero; though another coordinate condition that allows zero Schwarzschild radius exists, it isn't Lorentz-covariant.

Break
15:30 – 16:00 Coffee break
Break
16:00 – 17:00 Discussion
Break
17:00 – 18:00 Fruits party on the beach
Break
18:00 – 18:10 Shuttles departure from ICISE to Seagull Hotel
Break
18:10 – 19:00
Break
19:00 – 20:30 Dinner
Day
Saturday, August 5, 2017 Departure of participants
Event
No session or conference Shuttles to Airport
Web development: Thierry Masson (CPT, Marseille)


text:
Two magnetically uncoupled inductive coils have $Q$ factors $q_{1}$ and $q_{2}$ at the chosen operating frequency. Their respective resistances are $R_{1}$ and $R_{2}.$ When connected in series, their effective $Q$ factor at the same operating frequency is
1. $q_{1} + q_{2}$
2. $(1/q_{1}) + (1/q_{2})$
3. $(q_{1}R_{1} + q_{2}R_{2})/(R_{1} + R_{2})$
4. $(q_{1}R_{2} + q_{2}R_{1})/(R_{1} + R_{2})$


text:
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# The density function $$f(x) = \frac{e^{3 - x}}{(1 + e^{3 - x})^2}$$is an example of a logistic distribution.(a) Verify that $f$ is a probability density function.(b) Find $P (3 \le X \le 4)$.(c) Graph $f$. What does the mean appear to be? What about the median?

## A. $=\frac{1}{1}-\frac{1}{\infty}=1-0=1$B. 0.23C. mean and median at $x=3$

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Okay. And this question were asked about a probability distribution function and we have f of x equals E. to the 3 -1 Divided by one plus e 23 minus X quantity squared. So the first part asked us to see if this is in fact a probability distribution function. What that means is is the integral equal to one. Because when you have probabilities you need all the probabilities to add up to one. So the question is if this equals one. And so the first thing that we're gonna want to do is use a U substitution. So I'm going to use U equals one plus E to the three minus X. To make the denominator a little bit simpler. Then using the chain rule you get D U equals negative E To the three -X. So we can write this integral from X equals negative infinity to x equals infinity of the numerator becomes negative to you. The dominator becomes U squared. And the integral that using the power rule is going to be one over you. Now we have to evaluate this with X values. So I'm going to replace this with X now, one over one plus E to three, modest X. And evaluated from negative infinity to infinity. When you plug in infinity you get e raised the negative infinity which is going to be zero. So the first part becomes 1/1 plus zero. And then when you plug in negative infinity what that does is the negative and the negative cancel out. So you actually get 1/1 plus infinity. And anything over infinity is going to be zero. So this comes out to be equal to one. So that means that it is a pdf The second part asked what's the probability that X is in between three and 4? Mhm. And you can evaluate this by setting up an integral From 3 to 4 of this fx dx and from the previous part we know that this is one divided by one plus 8 to 3 minus X Evaluated at 3: four. So when you plug in four you have one divided by one plus 2 to 3 miles four which is one divided by one plus E to the negative one. And when you plug in three you get one divided by one plus E to the zero And each of the zero is 1. So you could simplify this to be one half if you wanted to one plus one that and in decimals this is approximately 0.23. Okay. The next part asked to graph the function and to approximately what the mean and median is. So down here, I have a picture of the graph and from here we can see that the I mean and the median is going to be around here Okay, is going to be around here which is at X equals three And the reason why I say that is because this function is pretty symmetric so it looks like everything to the left of it will be equal to everything to the right, And so you can use that to justify that, the mean and the median is X equals three.

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