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1. A
   $\beta$
2. B
   $\frac{\beta}{2}$
3. C
   $\frac{\beta}{4}$
4. D
   $\frac{\beta}{8}$

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1. A
   Figure (A) and (B) show isobaric curve and isothermal curve respectively.
2. B
   Figure (A) and (C) show isothermal curve and isochoric curve respectively.
3. C
   Figure (B) and (C) show isobaric curve and isochoric curve respectively.
4. D
   Figure (A) and (C) show isothermal curve and isobaric curve respectively.

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1. A
   $2 \cdot A_P$
2. B
   $4 A_P$
3. C
   $6 A_P$
4. D
   $9 A_P$

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1. A
   5 cm, -10 cm
2. B
   10 cm, -15 cm
3. C
   10 cm, -20 cm
4. D
   20 cm, -30 cm

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1. A
   $f_a > f_b > f_c > f_d$
2. B
   $f_n < f_b < f_c < f_d$
3. C
   $f_a > f_b < f_c = f_d$
4. D
   $f_a = f_b > f_c > f_d$

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1. A
   2:3
2. B
   1:2
3. C
   2:3
4. D
   4:5

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1. A
   some energy will be absorbed
2. B
   energy absorbed is $E\left(n - n^{2/3}\right)$
3. C
   energy released will be $E\left(n - n^{2/3}\right)$
4. D
   energy released will be $E\left(2^{2/3} - 1\right)$

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1. A
   the phenomenon of Corona Discharge in X-ray tube.
2. B
   the application of electric field and magnetic field which are perpendicular to each other.
3. C
   the property that charge given to a hollow conductor is transferred to its outer surface and distributed uniformly over it.
4. D
   the fact that a charge is continuously supplied to an isolated metallic conductor, the potential of the conductor goes on increasing.

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1. A
   34 mH
2. B
   16 mH
3. C
   15 mH
4. D
   6 mH

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1. A
   $4\phi$
2. B
   $2\phi$
3. C
   $\phi$
4. D
   $\frac{\phi}{2}$

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1. A
   At time t=0, the energy stored circuit is purely in the form of magnetic energy.
2. B
   At t>0, there is no exchange of energy between L and C.
3. C
   At any time t>0, the current in the circuit is in the same direction.
4. D
   At any time t>0, the instantaneous current in the circuit may be $V\sqrt{\frac{C}{L}}$

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1. A
   concentration of majority carriers.
2. B
   concentration of minority carriers.
3. C
   applied voltage.
4. D
   recombination of holes and electrons.

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1. A
   $\sqrt{\frac{4\pi}{\rho G}}$
2. B
   $\sqrt{\frac{\pi}{\rho G}}$
3. C
   $\sqrt{\frac{3\pi}{\rho G}}$
4. D
   $\sqrt{\frac{2\pi}{\rho G}}$

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1. A
   $\frac{RI_w}{\pi I_c}$
2. B
   $\frac{RI_c}{\pi I_w}$
3. C
   $\frac{\pi I_c}{RI_w}$
4. D
   $\frac{\pi I_w}{R_c}$

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1. A
   $\frac{B^2L^2V}{R}$
2. B
   $\frac{B^2L^2V^2}{R}$
3. C
   $\frac{B^2LV^2}{R}$
4. D
   $\frac{BLV^2}{R}$

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1. A
   1.5 X
2. B
   2 X
3. C
   5.5 X
4. D
   9.5 X

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1. A
   $\sqrt{\frac{V_1^2 x_2^2 - V_2^2 x_2^2}{V_1^2 - V_2^2}}$
2. B
   $\sqrt{\frac{V_1^2 - V_2^2}{V_1^2 x_2^2 - V_2^2 x_1^2}}$
3. C
   $\sqrt{\frac{V_1^2 x_2^2 - V_2^2 x_1^2}{V_1^2 - V_2^2}}$
4. D
   $\sqrt{\frac{V_1^2 x_1^2 - V_2^2 x_2^2}{V_1^2 - V_2^2}}$

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1. A
   p : n
2. B
   n : p
3. C
   p$^2$ : n$^2$
4. D
   n$^2$ : p$^2$

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1. A
   $6\pi TR^2$
2. B
   $12\pi TR^2$
3. C
   $8\pi TR^2$
4. D
   $24\pi TR^2$

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1. A
   1:2
2. B
   1:4
3. C
   4:1
4. D
   2:1

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1. A
   $\frac{W \cdot r}{x}$
2. B
   $\frac{W \cdot x}{r}$
3. C
   $\frac{W(r-x)}{x}$
4. D
   $\frac{W(r-x)}{r}$

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1. A
   10 V
2. B
   14 V
3. C
   18 V
4. D
   20 V

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1. A
   20 times
2. B
   16 times
3. C
   12 times
4. D
   8 times

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1. A
   $\frac{E_0^2}{12R}$
2. B
   $\frac{E_0^2}{10R}$
3. C
   $\frac{E_0^2}{8R}$
4. D
   $\frac{E_0^2}{6R}$

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1. A
   25.1 mA
2. B
   22.5 mA
3. C
   21.5 mA
4. D
   21.25 mA

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