1 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
2 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) $\sqrt{4gh}$
3 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 $\overrightarrow{v}$
4 For the reaction N2 + 3H2 → 2NH3 , If $\frac{Δ[NH_{3}]}{Δt} = 2\times 10^{-4} mol/ls$ then value of $\frac{-Δ\left[H_{2}\right]}{Δt}$ would be A) $1\times 10^{-4}mol L^{-1}S^{-1}$ B) $3\times 10^{-4}mol L^{-1}S^{-1}$ C) $4\times 10^{-4}mol L^{-1}S^{-1}$ D) $6\times 10^{-4}mol L^{-1}S^{-1}$
5 The value of KC for the reaction: A+3B $\rightleftharpoons$ 2C at 400ºC is 0.5.Calculate the value of KP A) $1.6\times 10^{-4}$ B) $1.6\times 10^{-6}$ C) $1.6\times 10^{-5}$ D) $1.6\times 10^{-3}$
6 The electrode potentials for Cu2+ (aq) + e- → Cu+ (aq) and Cu+ (aq) + e- → Cu(s) are + 0. 15 V and + 0.50 V, respectively The value of E°Cu2+/Cu will be: A) 0.500V B) 0.325V C) 0.650V D) 0.150V
7 In a closed insulated container a liquid is stirred with a paddle to increase its temperature. In this process which of the following is true? A) $\triangle E = W = Q = 0$ B) $\triangle E \neq 0, Q = W = 0$ C) $\triangle E = W \neq 0, Q= 0$ D) $\triangle E = Q \neq 0, W = 0$
8 Calculate the energy needed to convert three moles of sodium atoms in the gaseous state to sodium ions. The ionization energy of sodium is 495 kJ/mol A) 1485kJ B) 495kJ C) 148.5kJ D) None of these
9 The volume of a closed reaction vessel in which the following equilibrium reaction occurs is halved: $ 2SO_{2}(g) + O_{2}(g) \rightleftharpoons 2SO_{3}(g)$ As a result A) The rates of forward and backward reactions will remain the same. B) The equilibrium will not shift. C) The equilibrium will shift to the right. D) The rate of forward reaction will become double that of reverse reaction and the equilibrium will shift to the right
10 If $z=x+iy, z^{1/3} = a - ib,$ then $\frac{x}{a}-\frac{y}{b} = k(a^{2}-b^{2})$ where k is equal to A) 1 B) 2 C) 3 D) 4
11 The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in cm3/min, when the radius is 2 cm and the height is 3 cm is A) $-2\pi$ B) -$\frac{-8\pi}{5}$ C) $\frac{-3\pi}{5}$ D) $\frac{2\pi}{5}$
12 A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90°. What is the maximum area which can be enclosed inside the quadrilateral? A) $68cm^{2}$ B) $70cm^{2}$ C) $71.25cm^{2}$ D) $72.25cm^{2}$
13 Let f be the function defined by f(x) = $\begin{cases}\frac{x^{2}-1}{x^{2}-2|x-1|-1} & x \neq 1\\1/2 & x = 1\end{cases}$ A) The function is continuous for all values of x B) The function is continuous only for x > 1 C) The function is continuous at x=1 D) The function is not continuous at x =1
15 The value of x in the interval [4,9] at which the function f(x) = √x satisfies the mean value theorem is A) 13/4 B) 17/4 C) 21/4 D) 25/4