1. A
   $\dfrac{R_1}{R_2}$
2. B
   $\dfrac{R_2}{R_1}$
3. C
   $\sqrt{\dfrac{R_1}{R_2}}$
4. D
   $\dfrac{R_1^2}{R_2^2}$

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1. A
   $\dfrac{Mg}{2}$
2. B
   $Mg$
3. C
   $\dfrac{3}{2}Mg$
4. D
   $2Mg$

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1. A
   $4\times10^{-20}$ N
2. B
   $8\pi\times10^{-20}$ N
3. C
   $4\pi\times10^{-20}$ N
4. D
   $8\times10^{-20}$ N

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1. A
   Towards the left as its potential energy will increase.
2. B
   Towards the right as its potential energy will decrease.
3. C
   Towards the left as its potential energy will decrease.
4. D
   Towards the right as its potential energy will increase.

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1. A
   0.52 cm
2. B
   0.026 cm
3. C
   0.26 cm
4. D
   0.052 cm

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1. A
   0.9 MeV
2. B
   9.4 MeV
3. C
   804 MeV
4. D
   216 MeV

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1. A
   $\dfrac{2n-1}{2n}$
2. B
   $\dfrac{2n-1}{2n+1}$
3. C
   $\dfrac{2n+1}{2n-1}$
4. D
   $\dfrac{2n}{2n-1}$

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1. A
   60°
2. B
   30°
3. C
   45°
4. D
   90°

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1. A
   0.0628 s
2. B
   6.28 s
3. C
   3.14 s
4. D
   0.628 s

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1. A
   25
2. B
   15
3. C
   50
4. D
   30

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1. A
   (A) - (R), (B) - (S), (C) - (P), (D) - (Q)
2. B
   (A) - (R), (B) - (S), (C) - (Q), (D) - (P)
3. C
   (A) - (R), (B) - (P), (C) - (S), (D) - (Q)
4. D
   (A) - (R), (B) - (Q), (C) - (S), (D) - (P)

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1. A
   Current in $n$-type = current in $p$-type
2. B
   Current in $p$-type > current in $n$-type
3. C
   Current in $n$-type > current in $p$-type
4. D
   No current will flow in $p$-type, current will only flow in $n$-type

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1. A
   $\alpha, \beta^-, \beta^+$
2. B
   $\alpha, \beta^+, \beta^-$
3. C
   $\beta^+, \alpha, \beta^-$
4. D
   $\beta^-, \alpha, \beta^+$

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1. A
   10.2 kW
2. B
   8.1 kW
3. C
   12.3 kW
4. D
   7.0 kW

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1. A
   $10^{18}$
2. B
   $10^{17}$
3. C
   $10^{16}$
4. D
   $10^{15}$

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1. A
   $\hat{j}+\hat{k},\ \hat{j}+\hat{k}$
2. B
   $-\hat{j}+\hat{k},\ -\hat{j}-\hat{k}$
3. C
   $\hat{j}+\hat{k},\ -\hat{j}-\hat{k}$
4. D
   $-\hat{j}+\hat{k},\ -\hat{j}+\hat{k}$

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1. A
   0.25 $\Omega$
2. B
   0.5 $\Omega$
3. C
   1 $\Omega$
4. D
   4 $\Omega$

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1. A
   60 cm
2. B
   21.6 cm
3. C
   64 cm
4. D
   62 cm

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1. A
   Having zero dipole moment
2. B
   Acquire a dipole moment only in the presence of electric field due to displacement of charges
3. C
   Acquire a dipole moment only when magnetic field is absent
4. D
   Having a permanent electric dipole moment

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1. A
   $\dfrac{1}{2}\varepsilon_0 E^2$
2. B
   $\varepsilon_0 EAd$
3. C
   $\dfrac{1}{2}\varepsilon_0 E^2 Ad$
4. D
   $\dfrac{E^2 Ad}{\varepsilon_0}$

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

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1. A
   (A) and (B) both are correct.
2. B
   (A) and (B) both are incorrect
3. C
   (A) is correct and (B) is incorrect.
4. D
   (A) is incorrect but (B) is correct.

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1. A
   $\dfrac{S}{4}, \dfrac{3gS}{2}$
2. B
   $\dfrac{S}{4}, \dfrac{\sqrt{3gS}}{2}$
3. C
   $\dfrac{S}{2}, \dfrac{\sqrt{3gS}}{2}$
4. D
   $\dfrac{S}{4}, \sqrt{\dfrac{3gS}{2}}$

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1. A
   $[M^2][L^{-1}][T^0]$
2. B
   $[M][L^{-1}][T^{-1}]$
3. C
   $[M][L^0][T^0]$
4. D
   $[M^2][L^{-2}][T^{-1}]$

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1. A
   (A) - (R), (B) - (P), (C) - (S), (D) - (Q)
2. B
   (A) - (Q), (B) - (R), (C) - (S), (D) - (P)
3. C
   (A) - (Q), (B) - (P), (C) - (S), (D) - (R)
4. D
   (A) - (R), (B) - (Q), (C) - (P), (D) - (S)

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