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IIT JAM Physics Mock Test - 2 - Physics MCQ


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30 Questions MCQ Test - IIT JAM Physics Mock Test - 2

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IIT JAM Physics Mock Test - 2 - Question 1


If the efficiency of a Carnot cycle when the hot body temperature T1 is increased by x or when the cold body temperature T2 is decreased by y will be the same. Then the relation between x and y should be

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 1

The temperature of the hot body = T1 
increased temperature = x 
When cold body temperature = T2
decreased temperature = y
Coefficient of performance = 
putting the values in this equation then find

IIT JAM Physics Mock Test - 2 - Question 2

A disk of radius q/4 having a uniformly distributed charge 6C is placed in the x-y plane with its centre at  A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from  Two point charges - 7C and 3C are placed at  respectively. Consider a cubical surface formed by six surfaces  The electric flux through this cubical surface is

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 2

Total enclosed charge as already shown is

From Gauss-theorem, net flux,

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IIT JAM Physics Mock Test - 2 - Question 3

Among the following displacement versus time plots, which ones may represent an damped oscillator?

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 3


IIT JAM Physics Mock Test - 2 - Question 4

In a cubic lattice, the closed packed structure of mixed oxides of the lattice is made up of oxide ions, one eight of the tetrahedral voids are occupied by divalent ions (A2+) while one half of the octahedral voids are occupied by trivalent ions (B3+). Then What is the formula of the oxides?

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 4

Let thee be 80 O2- in the crystal
Octahedral voids = 80 
Tetrahedral voids = 160

= 1 : 2 : 4
So, AB2O4 is best formula o f the oxide

IIT JAM Physics Mock Test - 2 - Question 5

An electron is moving in the positive X direction, in S frame. The relative velocity between the s and S frames is 0.8 c and the velocity of the electron is also 0. 8 c with respect to an observer in S frame. The velocity of the electron for an observer in the S frame is

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 5

The relative relativistic velocity is given as

IIT JAM Physics Mock Test - 2 - Question 6

The Clausis - clapeyron equation indicates that the increase of pressure increases the melting point:

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 6

Clausis - clapeyron equation is given as


if volume increases the pressure increase with T.

IIT JAM Physics Mock Test - 2 - Question 7

If a ball is dropped from rest, it bounces from the floor repeatedly. The coefficient of restitution is 0.5 and the speed just before the first bounce is 5 m /sec. The total time taken by the ball to come to rest is 

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 7

u → initial velocity before strike 
v → velocity after the strike

Then

t2 = V/g

The ball again strike after 
Hence the total time = 

Hence, total time = 1.5- 0.5 = 1.0 sec.

IIT JAM Physics Mock Test - 2 - Question 8

If the wave length of k line silicon (z = 47) is 0.57 Å then the value of wavelength for uranium (z = 92) is

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 8

The wave length of k∝ line of an element is inversely proportional to its atomic number, or the number of protons in the element's nucleus. This means that as the atomic number of an element increases, the wave length of its k∝ line decreases. Therefore, to find the wave length of the k∝ line of an element with a given atomic number, you can use the following formula:

wave length = constant / atomic number

In this case, the wave length of the k∝ line of silicon (z = 47) is 0.57 Å, and the atomic number of uranium (z = 92) is greater than that of silicon. Using the formula above, we can calculate the wave length of the k∝ line of uranium as follows:

wave length = 0.57 Å / 92 wave length = 0.146 Å

Thus, the correct answer is 0.146 Å.

IIT JAM Physics Mock Test - 2 - Question 9

If the amplitude of a damped - oscillator becomes one - third in 2 minutes, what will be the amplitude of oscillation as compared to initial one after 6 minutes?

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 9

In case of damped oscillations, amplitude decrease exponentially with time , i.e 

So 

IIT JAM Physics Mock Test - 2 - Question 10

Cosmic ray muons generated at the top of the earth's atmosphere decay according to the radioactive decay law 

where N(t) is the number of muons at time t, and T1/2 = 1.74 μs is the proper half-life of the muon. Immediately after generation, most of these muons shoot down towards the Earth's surface. Some of these muons decay on the way, but their interactions with the atmosphere is negligible.
An observer on the top of a mountain of height 3.0 km above mean sea level detects muons with the speed 0.96 cover a period of time and counts 1000 muons. The number of muons of the same speed detected by an observer at mean level in the same period of time would be

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 10

We know the time

= 6.21428 sec 
Then According to question
travelled distance = 3 x 103 m
velocity = 0.96 x 3 x 108 m/sec
Then time taken by the muons to reach the sea level is t = travelled distance /velocity

IIT JAM Physics Mock Test - 2 - Question 11

A one-dimensional box contains a particle whose ground state energy is ∈• It is observed that a small disturbance causes the particle to emit a photon of energy is ground state energy eigenvalue), after which it is stable. Just before emission, a possible state function of the particle in terms of the energy eigenstates  would be

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 11

As we know that the total energy 
E =P1(E4) + P2 (E5
According to option (C)

We know that the energy eigenstate of one dimensional box is

IIT JAM Physics Mock Test - 2 - Question 12

2000 neutral spinless particles are confined in a one-dimensional box of length 200 nin. At A given instant of time, if 200 of these particle have energy 4∈0 and the remaining 1800 have 225∈0, then the number of particles in the left half of the box will be approximately.

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 12

In every energy state the probability of finding a particle is equal in left and right hand portion of the box. 

IIT JAM Physics Mock Test - 2 - Question 13

Which of the following statements is/are true for a matric A defined as:

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 13

Given

The characteristic equation of A is 


multiple by A-1
A2 + 2A - I - 20A-1 = 0

IIT JAM Physics Mock Test - 2 - Question 14

Let (x,t) and (x’ t ’) be the coordinate systems used by the observers 0 and 0 ’ respectively. Observer O’ moves with a velocity V = βC along their common positive x - axis. If x+ = x + Ct and x- = x - Ct are the linear combinations of the coordinates, the lorentz transformation relating 0 and O’ takes the form.

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 14

By the lorentz transformation






and similarly

IIT JAM Physics Mock Test - 2 - Question 15

Evaluate  and V is the volume bounded by the cylinder z = x2 and the p la n e s x = 0 , x = 2 , y = 0 , y = 6, z = 4.

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 15





IIT JAM Physics Mock Test - 2 - Question 16

The radiation corresponding to 3→2 transition of hydrogen atom falls on a metal surface to produce photo electrons. These electrons are made to enter a magnetic field of 3 x 10-4 T. If the radius of the largest circular path followed of the metal is close to

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 16

When an electron moves in a circular path, then


Work function of the metal W = hu - KEmax

IIT JAM Physics Mock Test - 2 - Question 17

A thin uniform rod of mass m and length I pivoted freely at its base, is allowed to fall from a verticle position. What is the angular velocity when it has turned through an angle 600?

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 17


Let A0, be a rod of length I. By the energy equation. 
Work done = Kinetic energy





IIT JAM Physics Mock Test - 2 - Question 18

A diffraction pattern is obtained by using a beam of red light. If the red light is replaced by blue light then:-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 18

i.e. the diffraction bands become narrower & crowed together.

IIT JAM Physics Mock Test - 2 - Question 19

Springs of constants k , 2 k , 4k ,8k , ............, 2048k are connected in series. A mass ’m' is attached to one end the system is allowed to oscillate. The time period is approximately :-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 19

No. of springs = 12



IIT JAM Physics Mock Test - 2 - Question 20

The distance between an object & its real image formed by a lens is 'D'. If the magnification is 'm' the focal length of the lens is:-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 20



IIT JAM Physics Mock Test - 2 - Question 21

In the transistor circuit shown in the figure below, collector to ground voltage is + 2 0 V. Which of the following is the probable error?

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 21

For collector to ground which is the same as emitter terminal to read the full supply voltage at 20V, no current should be drawn & this can happen if emitter to ground connection is open as then there will be neither lB or lc.

IIT JAM Physics Mock Test - 2 - Question 22

A minimum value of the Emitter bypass capacitor (C2), in given figure if the amplifier must operate over a frequency range from 5KHz to 10KHz is:-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 22

Since RE = 660Ω
Xc of the bypass capacitor, C2 should be not greater than

The capacitive value , at the min freq. of 2KHz.

IIT JAM Physics Mock Test - 2 - Question 23

In the given circuit, if the input A = B = 0, then what are the possible logic state of C & D respectively.

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 23

If A = 0 & B = 0, c & D  will always be 0.

IIT JAM Physics Mock Test - 2 - Question 24

A metal crystallizes in face-centered cubic lattice with a lattice parameter of 4.20  The shortest atom to atom contact distance in the lattice is:-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 24

Shortest distance = AB/2


IIT JAM Physics Mock Test - 2 - Question 25

The atomic radius (in cm) of an element with a body-centered cubic unit cell of volume 75.8 cm3mol-1, molecular weight 137.3 & density 3.62 gm cm-3 is

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 25

Density of unit cell, 

Diagonal of any face = 

IIT JAM Physics Mock Test - 2 - Question 26

The potential difference between the points A & B of a', uniformly polarized infinite slab shown in the figure is:-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 26



∴ Potential difference (V) = Ed = 

IIT JAM Physics Mock Test - 2 - Question 27

The region between two concentric right circular cylinders contain a uniform charge density ρ. Then potential V is given by:-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 27

Using Poisson eqn which reduces to:- 

IIT JAM Physics Mock Test - 2 - Question 28

The interaction energy of two dipoles of moments  is given by :-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 28

As, potential energy of a dipole ’p’ in on Electric field is given by:- 
But for a dipole of moment p1

So potential Energy of dipole  in the field p1 :-

IIT JAM Physics Mock Test - 2 - Question 29

When both source and observer move in the same direction with a velocity equal to half the velocity of sound. the change in frequency of the sound as detected by the observer is

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 29

In this case n’ 
Both are moving in the direction of sound.
∴ 
no change in frequency.

IIT JAM Physics Mock Test - 2 - Question 30

An electromagnetic wave is propagating in free space in the z- direction. If the electric field is given by   where ω = ck then the magnetic field is given by:-

Detailed Solution for IIT JAM Physics Mock Test - 2 - Question 30




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