1 A uniform string of length 20m is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the support is (Take , g=10 ms-2) A) $2\pi\sqrt{2}s$ B) 2 s C) $2\sqrt{2}s$ D) $\sqrt{2}s$
2 A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge Q (having a charge equal to the sum of the charge on the 4 µF and 9 µF capacitors ) at a point distant 30m from it, would equal to A) 240 N/C B) 360 N/C C) 420 N/C D) 480 N/C
3 Arrange the following electromagnetic radiations in the order of increasing energy A.Blue light B.Yellow light C.X-ray D. Radio wave A) D,B,A,C B) A,B,D,C C) C,A,B,D D) B,A,D,C
4 A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement. it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet, if the main scale reading is 0.5mm and the 25th division coincides with the main scale line? A) 0.75mm B) 0.80mm C) 0.70 mm D) 0.50mm
5 In an experiment for determination of the refractive index of a glass of a prism by i-δ plot, ut was found that a ray incident at an angle 35° suffers a deviation of 40° and that it emerges at an angle 790, In that case, which of the following is closest to the maximum possible value of the refractive index? A) 1.5 B) 1.6 C) 1.7 D) 1.8
6 If the number of terms in the expansion if $(1-\frac{2}{x}+\frac{4}{x^{2}}), x\neq 0, is 28$ . then the sum of the coefficients of all terms in this expansion is A) 64 B) 2187 C) 243 D) 729
7 Let $p=\lim_{x \rightarrow 0}(1+\tan^{2}\sqrt{x})^{\frac{1}{2x}}$, then $\log p$ is equal to A) 2 B) 1 C) $\frac{1}{2}$ D) $\frac{1}{4}$
8 For a linear plot of log (x/ m)versus log p in a Freundlich adsorption isotherm, which of the following statements is correct? (k and n are constants) A) 1/n appears as the intercept B) Only 1/n appears as the slope C) $log\left(\frac{1}{n}\right)$ appears as the intercept D) Both k and 1/n appear in the slope term
10 The main oxides formed on combustion of Li, Na, and K in excess of air respectively are A) $LiO_{2}$,$Na_{2}O_{2}$and $K_{2}O$ B) $Li_{2}O_{2}$,$Na_{2}O_{2}$and$ KO_{2}$ C) $Li_{2}O$,$Na_{2}O_{2}$ and $KO_{2}$ D) $Li_{2}O$ ,$Na_{2}O$ and $KO_{2}$
13 Which one of the following complexes shows optical isomerism? A) $cis[Co(en)_{2}Cl_{2}]Cl$ B) $trans[Co(en)_{2}Cl_{2}]Cl$ C) $[Co(NH_{3})_{4}Cl_{2}]Cl$ D) $[Co(NH_{3})_{3}Cl_{3}]$
14 The reaction of zinc with dilute and concentrated nitric acid, respectively, produce A) $NO_{2}$ and $NO$ B) $NO$ and $N_{2}O$ C) $NO_{2}$ and $N_{2}O$ D) $N_{2}O$ and $NO_{2}$
15 In the Hofmann-bromamide degradation reaction, the number of moles of NaOH and Br2 used Per mole of amine produce are A) 4 moles of NaOH and 2 moles of $Br_{2}$ B) 2 moles of NaOH and 2 moles of $Br_{2}$ C) 4 moles of NaOH and 1 mole of $Br_{2}$ D) 1 mole of NaOH and 1 mole of $Br_{2}$