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 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) $\frac{\left(\theta_{1}R_{2}+ \theta_{2}R_{1}\right)}{R_{1}+ R_{2}}$
4 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
5 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
6 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) $\sqrt{5R}$, $\tan^{-1}$ $\frac{1}{2}$
7 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) $\sqrt{4gh}$
8 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
9 A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following. A) The speed is high at the wider end and low at the narrow end B) The speed is low at the wider end and high at the narrow end. C) The speed is same at both ends in a stream line flow. D) The liquid flows with uniform velocity in the tube
10 A planet revolves in an elliptical orbit around the sun. The semi-major and semi-minor axes are a and b. Then the square of time period T is directly proportional to A) $a^{3}$ B) $b^{3}$ C) $\left(\frac{a + b}{2}\right)^3$ D) $\left(\frac{a - b}{2}\right)^3$
11 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
12 When a system is taken from state i to state f along the path iaf, it is found that Q = 50 cal and W = 20 cal. Along the path ibf Q = 36 cal W along the Path ibf is A) 14 cal B) 6 cal C) 16 cal D) 66 cal
13 If the differential equation for a simple harmonic motion is $\frac{d^{2}y}{dt^{2}}+2y = 0$, the time period of the motion is A) $\pi\sqrt{2}$ sec B) $\frac{\sqrt{2s}}{\pi}$ sec C) $\frac{\pi}{\sqrt{2}}$ sec D) $2\pi$ sec
14 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