| (A) | \(T_1=T_2\) | (B) | \(T_3>T_2\) |
| (C) | \(T_4>T_3\) | (D) | \(T_3=T_4\) |
| (E) | \(T_5>T_2\) | ||
| 1. | (A), (B) and (C) only | 2. | (B), (C) and (D) only |
| 3. | (A), (B) and (E) only | 4. | (C), (D) and (E) only |
| A. | (\(0\) to \(1~\text A\)) ranged ammeter. |
| B. | (\(0\) to \(100~\text {mA}\)) ranged milli-ammeter. |
| C. | (\(0\) to \(500~\mu\text A\)) ranged micro-ammeter. |
| D. | (\(0\) to \(100~\text V\)) ranged voltmeter. |
| 1. | \(\mathrm{A > B > C > D}\) | 2. | \(\mathrm{D > C > B > A}\) |
| 3. | \(\mathrm{D > A > B > C}\) | 4. | \(\mathrm{C > B > A > D}\) |
| 1. | \(0.5~\text{ms}^{-1}\) | 2. | \(1~\text{ms}^{-1}\) |
| 3. | \(2.5~\text{ms}^{-1}\) | 4. | \(4.8~\text{ms}^{-1}\) |
| 1. | \(M\) | 2. | \(\dfrac{M\pi}{2}\) |
| 3. | \( \dfrac{M}{2\pi}\) | 4. | \(\dfrac{2M}{\pi}\) |
| 1. | \(\Large\frac{B\omega L^2}{8}\) | 2. | \(\Large\frac{B\omega L^2}{2}\) |
| 3. | \(\Large\frac{B\omega L^2}{4}\) | 4. | zero |
| 1. | \(13:1\) and \(14:1\) | 2. | \(14:1\) and \(1:1\) |
| 3. | \(1:1\) and \(14:1\) | 4. | \(1:1\) and \(13:1\) |
| 1. | \(24 :1\) | 2. | \(1:720\) |
| 3. | \(1:60\) | 4. | \(2:5\) |
A body is falling freely in a resistive medium. The motion of the body is described by \(\dfrac{dv}{dt}=(4-2v), \) where \(v\) is the velocity of the body at any instant (in \(\text{ms}^{–1}\)). The terminal velocity in this case refers to the velocity the body approaches as time \(t \to \infty.\) The initial acceleration and terminal velocity of the body, respectively, are:
| 1. | \(4~\text{m/s}^2,\) \(2~\text{m/s}\) | 2. | \(2~\text{m/s}^2,\) \(4~\text{m/s}\) |
| 3. | \(6~\text{m/s}^2,\) \(2~\text{m/s}\) | 4. | \(2~\text{m/s}^2,\) \(6~\text{m/s}\) |
| 1. | \(1:2\) | 2. | \(2:3\) |
| 3. | \(3:2\) | 4. | \(2:1\) |