Physics - 2014 Past Year Paper - IIT JAM MCQ

A collimated beam of light of diameter 1 mm is propagating along the x- axis. The beam is to be expanded 10 mm using a combination of two convex lenses. A lens of focal length of 50 mm and another lens with focal length F are to be kept at a distance d between them. The values of F and d respectively, are

Octal equivalent of decimal number 478₁₀ is

A spherical ball of ice has radius R₀ and is rotating with an angular speed w about an axis passing through its centre. At time t = 0, it starts acquiring mass because the moisture around it starts to freeze on it uniformly. As a result its radius increases as R(t) = R₀ + αt, where a is a constant.
The curve which best describes its angular speed with time is

In a photoelectric effect experiment, ultraviolet light of wavelength 320 nm falls on the photocathode with work function of 2.1 eV. The stopping potential should be close to

In 1- dimension, an ensemble of N classical particles has energy of the form    The average internal energy of the system at temperature T is ___ .

In an ideal operational amplifier depicted below, the potential at node A is

To operate a npn transistor in active region, its emitter- base and collector- base junction respectively, should be

The value of 

In a parallel plate capacitor the distance between the plates is 10 cm. Two dielectric slabs of thick- ness 5 cm each and dielectric constants K₁= 2 and K₂ = 4 respectively, are inserted between the plates. A potential of 100 V is applied across the capacitor as shown in the figure. The value of the net bound surface charge density at the interface of the two dielectrics is

The electric fields of two light sources with nearby frequencies ω₁ and ω₂, and wave vectors k₁ and k₂, are expressed as    respectively. The interference pattern on the screen is photographed at t = t₀; denote    For this pattern

A solid metallic cube of heat capacity S is at temperature 300 K. It is brought in contact with a reservoir at 600 K. If the heat transfer takes place only between the reservoir and the cube, the entropy change of the reservoir after reaching the thermal equilibrium is ____

If the surface integral of the field    over the closed surface of an arbitrary unit sphere is to be zero, then the relationship between α, β  and γ is

The moment of inertia of a disc about one of its diameters is IM. The mass per unit area of the disc is proportional to the distance from its centre. If the radius of the disc is R and its mass is M, the value of I_M is _______

The rigid uniform horizontal wire PQ of mass M, pivoted at P, carries a constant current I. It rotates with a constant angular speed in a uniform vertical magnetic field B. If the current were switched off, the angular acceleration of the wire, in terms of B, M and I would be

Two points N and S are located in the northern and southern hemisphere, respectively, on the same longitude. Projectiles P and Q are fired from N and S, respectively, towards each other.Which of the following option is correct for the projectiles as they approach the equator ?

Two particles A and B of mass m and one particle C of mass are kept on the x axis in thr order ABC, Particle A is given a velocity vi . Consequently there are two collisions, both of which are completely inelastic. If the net energy loss because of these collisions is 7/8 of the initial energy,, the value of M is (ignore frictional losses)

The line integral    of a vector field    where r² = x² + y², is taken around a square (see figure) of side unit length and centered at (x0, y0) with    the value of the integral is L, then 

Diamond lattice can be considered as a combination of two f_cc lattices displaced along the body diagonal by one quarter of its length. There are eight atoms per unit cell. The packing fraction of the diamond structure is

Thermal neutrons (energy = 300 k_B = 0.025 eV) are sometimes used for structural determination of materials. The typical lattice spacing of a material for which these can be used is

What is the maximum height above the dashed line attained by the water stream coming out at B from a thin tube of the water tank assembly shown in the figure? Assume h = 10 m, L = 2m, and θ = 30^o.

A steady current in a straight conducting wire produces a surface charge on it. Let E_out and E_in be the magnitudes of the electric fields just outside and just inside the wire, respectively. W hich of the following statements is true for these fields ?

A small charged spherical shell of radius 0.01 m is at a potential of 30 V. The electrostatic energy of the shell is

At an instant shown, three point masses m, 2m and 3m rest on a horizontal surface, and are at the vertices of an equilateral triangle of unit side length. Assuming that G is the gravitational constant, the magnitude and direction of the torque on the mass 3m, about the point O, at that instant is

A sine wave of 5V amplitude is applied at the input of the circuit shown in the figure. which of the following waveforms represents the output most closely?

1011 binary have been applied at X₃ X₂ X₁ X₀ input in the shown logic circuit made of XOR gates. The binary output Y₃ Y₂ Y₁ Y₀ of the circuit will be

A ring of radius R carries a linear charge density l.  It is rotating with angular speed w.  The magnetic field at its center is

A stationary source (see figure below) emits sound waves of frequency f towards a wall. If an observer moving with speed u in a direction perpendicular to the wall, measures a frequency f’ = 9/8 f at the instant shown, then u is related to the speed of sound V_s as