1 The ratio of the energies of the hydrogen atom in its first to second excited states is A) $\frac{1}{4}$ B) $\frac{4}{9}$ C) $\frac{9}{4}$ D) 4
2 An electric dipole is kept in a uniform electric field. It experiences A) a force and a torque B) a force, but no torque C) a torque but no net force D) neither a force nor a torque
3 A raindrop of radius 0.3 mm has a terminal velocity in air is 1 m/s. The viscosity of air is 8 x 10-5 poise. The viscous force on it is A) $45.2\times 10^{-4}$dyne B) $101.73\times 10^{-5}$ dyne C) $16.95\times 10^{-4}$ dyne D) $16.95\times 10^{-5}$dyne
4 A mass of 0.5 kg moving with a speed of 1.5 m/ s on a horizontal smooth surface, collides with a nearly weightless spring of force constant k: 50N/m. The maximum compression of the spring would be A) 0.5m B) 0.15m C) 0.12m D) 1.5m
5 The Young's modulus of a perfectly rigid body is A) Unity B) Zero C) Infinity D) Some finite non zero constant
6 ln an electromagnetic wave A) power is transmitted along the magnetic field B) power is transmitted along the electric field C) power is equally transferred along the electric and magnetic fields D) power is transmitted in a direction perpendicular to both the fields
7 A metal ring is held horizontally and the bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet A) is equal to g B) is less than g C) is more than g D) depends on the diameter of ring and length of magnet
8 For a series RLC circuit R = XL = 2Xc. The impedance of the circuit and phase difference between V and I respectively will be A) $\frac{\sqrt{5}r}{2}$, $\tan^{-1}$(2) B) $\frac{\sqrt{5}r}{2}$, $\tan^{-1}$ $\frac{1}{2}$ C) $\sqrt{5X_{c}}$, $\tan^{-1}$(2) D) $\sqrt{5R}$, $\tan^{-1}$ $\frac{1}{2}$
9 A man holding a rifle (mass of person and rifle together is 100kg) stands on a smooth surface and fires 10 shots horizontally in 5 sec. Each bullet has a mass of 10 g with a muzzle velocity of 800 ms-1 . The velocity which the rifleman attains after firing 10 shots will be A) 8 m/s B) 0.8m/s C) 0.08 m/s D) -0.8m/s
10 A solid cylinder of mass m and radius R rolls down the inclined plane without slipping. The speed of its C.M. when it reaches the bottom is A) $\sqrt{2gh}$ B) $\sqrt{\frac{4gh}{3}}$ C) $\sqrt{\frac{3}{4gh}}$ D) $\sqrt{4gh}$
11 A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass 5 kg. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is : (g = 9.8 m/sec2) A) 49 N B) Zero C) 36.75 N D) 2.45 N
12 The surface of a metal is illuminated with a light of 400 nm. The kinetic energy of the ejected Photoelectrons was found to be 1.68 eV. The work function of the metal is? (hc = 1240eV.nm) A) 3.09 eV B) 1.42 eV C) 1.51eV D) 1.68 eV
14 The work done by an uniform magnetic field on a moving charge is A) zero because $\overrightarrow{F}$ acts parallel to $\overrightarrow{v}$ B) positive because $\overrightarrow{F}$ acts perpendicular to $\overrightarrow{v}$ C) zero because $\overrightarrow{F}$ acts perpendicular to $\overrightarrow{v}$ D) negative because $\overrightarrow{F}$ acts parallel to $\overrightarrow{v}$
15 In Young's double-slit experiment, the central point on the screen is A) bright B) dark C) First bright and then dark D) first dark and then bright
