| Assertion (A): | When a cyclist doubles his speed of turning, the chance of his skidding becomes nearly four times. |
| Reason (R): | When the speed of the vehicle increases, the angle of bending also increases. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
| 1. | increase |
| 2. | decrease |
| 3. | remain unchanged |
| 4. | become zero |
A rocket with a lift-off mass of \(20,000\) \(\mathrm{kg}\) is blasted upwards with an initial acceleration of \(5~\mathrm{ms}^{-2}\). Then initial thrust (force) of the blast is:
(Take \(g=10\) \(\mathrm{ms}^{-2}\))
1. \(7 \times 10^5 \mathrm{~N} \)
2. \(0 \)
3. \(2 \times 10^5 \mathrm{~N} \)
4. \(3 \times 10^5 \mathrm{~N}\)
(\(T_1\) and denote the tension and speed at the lowest point. \(T_2\) and \(v_2\) denote corresponding values at the highest point.)
| Lowest point | Highest point | |
| 1. | \(mg-T_1 \) | \(mg+T_2 \) |
| 2. | \(mg+T_1\) | \(mg+T_2\) |
| 3. | ||
| 4. |
A car of mass \(1000\) kg negotiates a banked curve of radius \(90\) m on a frictionless road. If the banking angle is of \(45^\circ,\) the speed of the car is:
| 1. | \(20\) ms–1 | 2. | \(30\) ms–1 |
| 3. | \(5\) ms–1 | 4. | \(10\) ms–1 |
A block \(B\) is pushed momentarily along a horizontal surface with an initial velocity \(v.\) If \(\mu\) is the coefficient of sliding friction between \(B\) and the surface, the block \(B\) will come to rest after a time:
1. \(v \over g \mu\)
2. \(g \mu \over v\)
3. \(g \over v\)
4. \(v \over g\)
A particle moving with velocity \(\vec{v}\) is acted by three forces shown by the vector triangle \({PQR}.\) The velocity of the particle will:
| 1. | change according to the smallest force \({\overrightarrow{Q R}}\) |
| 2. | increase |
| 3. | decrease |
| 4. | remain constant |
A point mass \(m\) is moved in a vertical circle of radius \(r\) with the help of a string. The velocity of the mass is \(\sqrt{7gr} \) at the lowest point. The tension in the string at the lowest point is:
| 1. | \(6 \text{mg}\) | 2. | \(7 \text{mg}\) |
| 3. | \(8 \text{mg}\) | 4. | \( \text{mg}\) |
| Assertion (A): | It is observed that when a car brakes suddenly, the passengers are thrown forward. |
| Reason (R): | (Newton's 1st Law of Motion) Everybody continues in its state of rest or of uniform motion in a straight line except in so far as it be compelled by an externally impressed force to act otherwise. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
| 1. | \(mg\sin60^\circ\) | 2. | \(mg\cos60^\circ\) |
| 3. | \(mg\tan60^\circ\) | 4. | \(mg\cot60^\circ\) |
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