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IIT JAM Physics Mock Test - 1 - Physics MCQ


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30 Questions MCQ Test - IIT JAM Physics Mock Test - 1

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IIT JAM Physics Mock Test - 1 - Question 1

A wooden block P is at rest on the horizontal surface of a wooden platform M. The coefficient to static friction between these two is μ. The platform starts moving suddenly with a uniform acceleration "a". The minimum value of "a" so that the block P starts moving with respect to the platform M is (g denotes the acceleration due to gravity).  

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


 

IIT JAM Physics Mock Test - 1 - Question 2

A block of mass 2 kg is initially held at rest on the frictionless surface of a wedge of mass 5 kg. The wedge itself lies on horizontal frictionless surface. The block is now released so that it is allowed to slide down the slope. How far down the slope does the block move when the wedge has moved a distance of 2 cm?

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


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IIT JAM Physics Mock Test - 1 - Question 3

A particle of mass m moves along the x-axis under the influence of the potential V(x) = V0αx2. If the particle oscillate with a small amplitude around the minimum of the potential, what is the period of oscillation? Take m = 4, V0 = 2 and α 3/4.

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 3

IIT JAM Physics Mock Test - 1 - Question 4

Two beakers A and B are filled to the brim with water at40C. beaker A is cooled 'while beaker B is heated. This is likely to result in

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IIT JAM Physics Mock Test - 1 - Question 5

The apparent wavelength of light coming from a star which is moving away from earth is 0.05% more than its actual wavelength. Then the speed of star is

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 5

IIT JAM Physics Mock Test - 1 - Question 6

In o rd e r to determine the age of ancient wooden tools, radio carbon dating method is used. This is done by measuring the fraction of radioactive isotope 14C of carbon compared to the normal (non-radioactive) isotope 12C in a sample.
An old sample is found to contain 1/5 times the fraction of 14C as compared to a fresh piece of wood. Given that the half-life of 14C is 5500 yr, the approximate age of the old sample is

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IIT JAM Physics Mock Test - 1 - Question 7

A closed organ pipe and an open organ pipe of same length produce 2 beats/second while vibrating in their fundamental modes. The length of the open organ pipe is halved and that of closed pipe is doubled. Then, the number of beats produced per second while vibrating in the fundamental mode is___

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IIT JAM Physics Mock Test - 1 - Question 8

A young's double slit apparatus has a slit separation of 0.4 mm and a screen placed at a distance of 200 cm from the slits. When illuminated by a 632 nm Helium Neon laser, the position of the first intensity minimum with respect to the central maximum will be

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IIT JAM Physics Mock Test - 1 - Question 9

A small block of copper with a specific heat of 200 cal/0C is initially at a temperature of 3000C. It is then dropped into a large tank of water maintained at 270C. What is the change in entropy of the combined system after equilibrium is established?

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IIT JAM Physics Mock Test - 1 - Question 10

A solid is melts into a liquid via first-order phase transition. The relationship between the pressure P and the temperature T of the phase transition is P =  where P0 is a constant. The entropy change associated with the phase transition is 3J mole-1 k-1. The clausius - clapeyron equation for the latent heat is  is the change in molar volume at the phase transition. Then

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 10

We know clausius-clapeyron equation.

IIT JAM Physics Mock Test - 1 - Question 11

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IIT JAM Physics Mock Test - 1 - Question 12

Which of the following graphs correctly represent the variation of  with P for an ideal gas at constant temperature?

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 12

Compressibility of gas 

IIT JAM Physics Mock Test - 1 - Question 13

A horizontally placed hollow tube has a cross-sectional area A at the beginning of the tube that gradually tapers off to A/2 at the end. An incompressible, ideal fluid of density ρ enters the tube with a velocity V at the beginning of the tube. The difference in the pressure across the tube is

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 13

According to equation of continuity velocity at the other end V =  2V
Applying ρ Bernoulli equation 

IIT JAM Physics Mock Test - 1 - Question 14

A satellite is placed in a circular orbit about the earth whose radius is 1/50 th the distance between the earth and the moon. If the lunar period around the earth is 28 days, the period of revolution of the satellite is approximately.

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 14

According to Kepler's third law

IIT JAM Physics Mock Test - 1 - Question 15

Planck's constant (h), the speed of light in vacuum (C), Length (L) and Newton's gravitational constant (G) are four fundamental constants of nature. Which of the following combinations has the dimension of frequency?

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IIT JAM Physics Mock Test - 1 - Question 16

A stone is dropped from a height 200 m at the equator. mass of stone=7.2*10-4 kg. The eastward deflection is

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 16

The deflection is given by the formula

where θ is the latitude at the equator θ = 0 

IIT JAM Physics Mock Test - 1 - Question 17

A block of mass m slides on a frictionless table. It is constrained to move inside a ring of radius R. At time t = 0 , block is moving along the inside of the ring (i.e. in the tangential direction) with velocity v0​  The coefficient of friction between the block and the ring is μ  . Find the speed of the block at time t 

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 17

N = mv2/R 
fmax = μN = μmv2/R
:. Retardation a = fmax/m
= μv2/R
:. (−dv/dt) = μv2/R
or ∫(v0 to v)dv/v2 = −μ/R∫(0 to t)dt
or v = v0/(1 + μv0t/R)

IIT JAM Physics Mock Test - 1 - Question 18

A particle of charge +q and mass m moving under the influence of a uniform electric field  and a uniform magnetic field  follows a trajectory from P to Q as shown in the figure. The velocities at P and Q are  Which of the following statement is not correct?

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 18

Work done by the electric force = Change of kinetic energy

IIT JAM Physics Mock Test - 1 - Question 19

A bullet of mass m moving horizontally with speed V passes through a pendulum suspended using a string of length t and bob of mass M and emerges with velocity V/3. The minimum velocity of V which makes the pendulum to swing through a complete circle is

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 19

The speed of the bob immediately after the bullet passes through it is given by the law of momentum conseivation

We know that the minimum velocity,  Vmin at the lowest position so that it completes a circle is 

IIT JAM Physics Mock Test - 1 - Question 20

A cylindrical vessel of height h and base are A is filled with water. An orifice of area a « A is opened in the bottom of the vessel, determine how soon all the water will pour out of the vessel.

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 20

Water jet coming out from the orifice of area a at an arbitrary instant of time when the height of water column in the cylindrical vessel is H.

As the rate of out-flux should be equal to the rate with which volume of the water in the vessel decreases

IIT JAM Physics Mock Test - 1 - Question 21

The orthorhombic crystal has axial units in the ratio of 0.424 : 1: 0.367. The miller indices of a crystal face whose intercepts are in the ratio 0.212 :1 :0.183 will be : -

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 21

a : b : c :: 0.424 :1 : 0.367 
p x 0.424 = 0.212

Similarly bq = 1 
q x 1
∴ q= 1
& rc = 0.183

IIT JAM Physics Mock Test - 1 - Question 22

Two isolated metallic solid sphere of radius R & 2R are charged such that both of these have same charge density σ. The sphere are located for away from each other if they are connected by a thin conducting wire. The charge density on the bigger sphere:-

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 22

As 'σ' on both the sphere is same ; 

Now, during sharing charge is distributed in proportion to capacity i.e. radius so charge on the bigger sphere

IIT JAM Physics Mock Test - 1 - Question 23

If a conductor of cross section 'a' & carrying a current  is oriented along the y-axis in a magnetic field  the force density exerted on the conductor is :-

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IIT JAM Physics Mock Test - 1 - Question 24

The time averaged poynting vector in  for a wave with  in free space:-

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IIT JAM Physics Mock Test - 1 - Question 25

In a multistage RC coupled amplifier the coupling capacitor (Cc):-

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 25

Coupling capacitance comes in series with the circuit and hence affects low frequency response as at low frequency its impedance becomes high. It also blocks dc but affect the frequency response.

IIT JAM Physics Mock Test - 1 - Question 26

In a transistor having fixed biasing, the forward bias across the base-emitter junction is kept constant & the reverse bias across the collector-base junction is increased. Neglecting the leakage current across the collector-base junction & the depletion region generation current, the base current will : -

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 26

The base current will increase on increasing the reverse biasing of CB junction.

IIT JAM Physics Mock Test - 1 - Question 27

Thermal runway in a transistor biased in the active region is due to : -

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 27

Thermal runway in a transistor biased in the active region is due to change in reverse collector saturation current due to rise in temperature .

IIT JAM Physics Mock Test - 1 - Question 28

A voltage source VAB = 4 sin ωt is applied to the terminals A & B of the circuit shown in the given figure. The diodes are assumed to be ideal. The impedance by the circuit across the terminals A & B is:-

Detailed Solution for IIT JAM Physics Mock Test - 1 - Question 28

Diode D1 conducts through 10 kΩ on the extreme right & Diode D2 conduct through the 10 kΩ in the middle branch Diode D1 is blocked.
Then the source always sees a resistance of 10kΩ..

IIT JAM Physics Mock Test - 1 - Question 29

Given that the op-amp configuration in given figure below, the value of R( required to produce a closed loop voltage gain of 100:-

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IIT JAM Physics Mock Test - 1 - Question 30

Eigen vector of matrix  corresponding to the eigen values (1 + i) and (1 - i) are respectively (where i = √-1)

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