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Here I am giving you question paper for joint entrance screening test in pdf File attached with it so you can get it easily..

26. A small magnet is dropped down a long vertical copper tube in a uniform gravitational field. After a long
time, the magnet
(a) attains a constant velocity
(b) moves with a constant acceleration
(c) moves with a constant deceleration
(d) executes simple harmonic motion

27. The ground state energy of 5 identical spin-1/2 particles which are subject to a one-dimensional simple
harmonic oscillator potential of frequency ! is
(a) (15/2)¯h!
(b) (13/2)¯h!
(c) (1/2)¯h!
(d) 5¯h!

28. Efficiency of a perfectly reversible (Carnot) heat engine operating between absolute temperatures T and
zero is equal to
(a) 0
(b) 0.5
(c) 0.75
(d) 1

29. Consider a particle of electric charge e and mass m moving under the influence of a constant horizontal
electric field E and constant vertical gravitational field described by acceleration due to gravity g. If the
particle starts from rest, what will be its trajectory?
(a) parabolic
(b) elliptic
(c) straight line
(d) circular

32. The ratio of maximum to minimum resistance that can be obtained with N 1- resistors is
(a) N
(b) N2
(c) 1
(d) 1

33. The wave function of a free particle in one dimension is given by (x) = Asin x + B sin 3x. Then (x) is
an eigenstate of
(a) the position operator
(b) the Hamiltonian
(c) the momentum operator
(d) the parity operator

34. A point charge +q is placed at (0, 0, d) above a grounded infinite conducting plane defined by z = 0.
There are no charges present anywhere else. What is the magnitude of electric field at (0, 0,−d)?
(a) q/(8__0d2)
(b) −1
(c) 0
(d) q/(16__od2)

36. The second order maximum in the diffraction of X-rays of 0.20 nanometer wavelength from a simple cubic
crystal is found to occur at an angle of thirty degrees with respect to the crystal plane. The distance
between the lattice planes is
(a) 1 Angstrom
(b) 2 Angstroms
(c) 4 Angstroms
(d) 8 Angstroms

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