1 The horizontal component of the earth's magnetic field is 3.6x10-5 tesla where the dip angle is 60º. The magnitude of the earth's magnetic field is A) $2.8\times 10^{-4}$ tesla B) $2.1\times 10^{-4}$ C) $7.2\times 10^{-5}$ D) $3.6\times 10^{-5}$
2 The V-I characteristic of a diode is shown in the figure. The ratio of forward to reverse bias resistance is: A) 10 B) $10^{-6}$ C) $10^{6}$ D) 100
3 A ray PQ incident on the refracting face BA is refracted in the prism BAC as shown in the figure and emerges from the other refracting face AC as RS such that AQ = AR. If the angle of prism A = 60º and the refractive index of the material of prism is √3 then the angle of deviation of the ray is A) 60º B) 45º C) 30º D) None of these
4 Ionisation energy of He+ is 19.6 x 10-18 J atom-1. The energy of the first stationary state (n = 1) of Li2+ is A) $4.4\times10^{-16}Jatom^{-1}$ B) $-4.4\times10^{-17}Jatom^{-1}$ C) $-2.2\times10^{-15}Jatom^{-1}$ D) $8.82\times10^{-17}Jatom^{-1}$
5 For the process H2O(l) (1 bar, 373 K) → H2O(S) (1 bar,373 K), the correct set of thermodynamic parameters isΔ A) $\triangle G = 0, \triangle S = +ve$ B) $\triangle G = 0, \triangle S = -ve$ C) $\triangle G = +ve, \triangle S = 0$ D) $\triangle G = -ve, \triangle S = +ve$
6 The reagent (s) which can be used to distinguish acetophenone from benzophenone is (are) A) 2,4-dinitrophenylhydrazine B) aqueous solution of $NaHSO_{3}$, C) benedict reagent D) $I_{2}$and$Na_{2}Co_{3}$
7 In the extraction of Cu, the metal is formed in the bessemer converter due to the reaction : A) $Cu_{2}S + 2Cu_{2}O \rightarrow 6Cu + SO_{2}$ B) $Cu_{2}S \rightarrow 2Cu+S$ C) $Fe + Cu_{2}O\rightarrow 2Cu + FeO$ D) $2Cu_{2}O\rightarrow4Cu + O_{2}$
8 HBr reacts with CH2 = CH - OCH3 under anhydrous conditions at room temperature to give A) $BrCH_{2} - CH_{2} - OCH_{3}$ B) $ H_{3}C - CHBr - OCH_{3}$ C) $CH_{3}CHO and CH_{3}Br$ D) $ BrCH_{2}CHO and CH_{3}OH$
9 The no. of points of discontinuity of the function f (x) = x - [x] in the interval (0, 7) are A) 2 B) 4 C) 6 D) 8
10 A signal which can be green or red with probability 4/5 and 1/ 5 respectively, is received by station A and then transmitted to station B. The probability of each station receiving the signal correctly is 3/4. If the signal received at station B is given, then the probability that the original signal is green, is A) 3/5 B) 6/7 C) 20/23 D) 9/20
11 One of the values of $\left(\frac{1+i}{\sqrt{2}}\right)^{\frac{2}{3}}$ is A) $\left(\frac{1}{2}\times\sqrt{3}+i\right)$ B) -i C) i D) $-\sqrt{3}+i$
12 The combined equation of the asymptotes olthe hyperbola 2x2 + 5xy + 2y2 + 4x + 5y = 0 is - A) $2x^{2} + 5xy + 2y^{2} + 4x + 5y+2 = 0$ B) $2x^{2} + 5xy + 2y^{2} + 4x + 5y-2 = 0$ C) $2x^{2} + 5xy + 2y^{2} = 0$ D) None of these
13 The value of $\int_{-1}^{1} \left(x - \left[x\right]\right)dx$ (where [ . ] denotes greatest integer function) is A) 0 B) 1 C) 2 D) None of these
14 The solution of $\frac{dv}{dt}+\frac{k}{m}v$ = -g is A) $v = c\bar{e}^{\frac{k}{m}t}-\frac{mg}{k}$ B) $v = c-\frac{mg}{k}\bar{e}^{\frac{k}{m}t}$ C) $v^{-\frac{k}{m}t} = c-\frac{mg}{k}$ D) $v^{\frac{k}{m}t} = c-\frac{mg}{k}$
15 If $\vec{a}=(\hat{i}+\hat{j}+\hat{k})$, $\vec{a}.\vec{b} = 1$ and $\vec{a}\times\vec{b} = \hat{j}-\hat{k}$, then $\vec{b}$ is A) $\hat{i}-\hat{j}+\hat{k}$ B) $2\hat{j}-\hat{k}$ C) $\hat{i}$ D) $2\hat{i}$