1 The equivalent capacitance of the combination of the capacitors is A) 3.20µF B) 7.80µF C) 3.90µF D) 2.16µF
2 In a common base mode of a transistor, the collector current is 5.488 mA for an emitter current of 5.60 mA. The value of the base current amplification factor (β) will be A) 49 B) 50 C) 51 D) 48
3 The velocity-time graph of a body moving in a straight line is shown in fig. Find the displacement and distance travelled by the body in 10 seconds A) 50 m, 90m B) 5m , 9m C) 9m , 5m D) 90m , 50m
4 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
5 A person swims in a river aiming to reach exactly on the opposite point on the bank of a river His speed of swimming is 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water is A) 1.0m/s B) 0.5m/s C) 0.25m/s D) 0.43m/s
6 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
7 Consider a pair of insulating blocks with thermal resistances R1 and R2 as shown in the figure. The temperature θ at the boundary between the two blocks is A) $\frac{\theta_{1}\theta_{2}\sqrt{R_{1}R_{2}}}{(\theta_{1}+\theta_{2})(R_{1}+R_{2})}$ B) $\frac{\theta_{1}R_{1}+ \theta_{2}R_{2}}{(R_{1}+R_{2})}$ C) $\frac{\left[\left(\theta_{1}+ \theta_{2}\right) R_{1}R_{2}\right]}{\left(R_1^2+ R_2^2\right)}$ D) $\frac{\left(\theta_{1}R_{2}+ \theta_{2}R_{1}\right)}{R_{1}+ R_{2}}$
8 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
9 The figure below shows currents in a part of an electric circuit. The current I is A) 1.7amp B) 3.7amp C) 1.3amp D) 1amp
10 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
11 A particle having a mass of 0.5 kg is projected under gravity with a speed of 98 m/sec at an angle of 60°. The magnitude of the change in momentum (in N-sec) of the particle after 10 seconds is [g = 9.8 m/sec2] A) 0.5 B) 49 C) 98 D) 490
12 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) $\sqrt{5R}$, $\tan^{-1}$ $\frac{1}{2}$
13 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) $\sqrt{4gh}$
14 A and B are two wires. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is A) equal to that on A B) four times that on A C) two times that on A D) half that on A
15 Tube A has both ends open while tube B has one end closed, otherwise, they are identical. The ratio of the fundamental frequency of tube 'A and B' is A) 1 : 2 B) 1 : 4 C) 2 : 1 D) 4 : 1