1 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
2 Escape velocity when a body of mass m is thrown vertically from the surface of the earth is v, what will be the escape velocity of another body of mass 4 m is thrown vertically A) v B) 2v C) 4v D) None of these
3 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) $\sqrt{4gh}$
4 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
5 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
6 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
7 The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of 10 litres to 20 litres at 25ºC is A) 2.303 x 298 x 0.082 log2 B) 298 x $10^{7}$ x 8.31 x 2.303 log2 C) 2.303x298x 0.082 log0.5 D) 8.3 1 x $10^{7}$ x 298 - 2.303 log 0.5
8 Calculate the entropy change in melting 1 mole of ice at 273K. $ΔH_f^\circ$ = 6.025kJ/mol A) 11.2 J/Kmol B) 22.1J/Kmol C) 15.1 J/Kmol D) 5.1 J/Kmol
9 When acetylene is passed into methanol at 160- 200°C in the presence of a small amount of potassium methoxide under pressure, the following is formed - A) Polyvinyl alcohol B) Divinyl ether C) Dimethyl ether D) Methyl vinyl ether
10 Which compound can exist in a dipolar(zwitterion) state? A) $C_{6}H_{5}CH_{2}CH(N=CH_{2})COOH$ B) $\left(CH_{3}\right)_{2}CH.CH\left(NH_{2}\right)COOH$ C) $C_{6}H_{5}CONHCH_{2}COOH$ D) $HOOC.CH_{2}CH_{2}COCOOH$
11 $A\xrightarrow[{dil.H_{2}SO_{4}}]{K_{2}Cr_{2}O_{7}}$ $B\xrightarrow[{H_{2}O}]{CH_{2}Mgl}$ the reactant A is? A) $CH_{3}CHOHCH_{3}$ B) $CH_{3}COCH_{3}$ C) $C_{2}H_{5}OH$ D) $ CH_{3}COOH$
12 In the reaction, $C_{6}H_{5}OH\xrightarrow{NaOH}(A)$ $\xrightarrow[{140^0c,(4-7 atm)}]{CO_{2}}$ $(B)\xrightarrow{HCl} (C)$ the compound (C) is? A) Benzoic acid B) Salicylaldehyde C) Chlorobenzene D) Salicylic acid
13 If A = $\begin{bmatrix}0 & c & -b \\-c & 0 & a \\b & -a & 0 \end{bmatrix}$ and B =$\begin{bmatrix}a^{2} & ab & ac \\ab & b^{2} & bc \\ac & bc & c^{2} \end{bmatrix}$ then AB is equal to A) B B) A C) 0 D) I
14 Value of $\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\frac{1}{1+\sqrt{\cot x}}dx $ is A) $\frac{\pi}{6}$ B) $\frac{\pi}{12}$ C) $\frac{12}{\pi}$ D) None of these
15 The domain of the function f(x) = $\sqrt{\frac{1}{|x-2|-(x-2)}}$ is: A) $(-\infty,2)$ B) $(2,\infty)$ C) $(-\infty,2)$ D) $(2,\infty)$
