| 1. | along south-west | 2. | along eastward |
| 3. | along northward | 4. | along north-east |
| 1. | \(30\sqrt3~\text N\) | 2. | zero |
| 3. | \(10\sqrt3~\text N\) | 4. | \(20\sqrt3~\text N\) |
| Assertion (A): | A standing bus suddenly accelerates. If there was no friction between the feet of a passenger and the floor of the bus, the passenger would move back. |
| Reason (R): | In the absence of friction, the floor of the bus would slip forward under the feet of the passenger. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
A ball of mass \(0.15~\text{kg}\) is dropped from a height \(10~\text{m}\), strikes the ground, and rebounds to the same height. The magnitude of impulse imparted to the ball is \((g=10 ~\text{m}/\text{s}^2)\) nearly:
| 1. | \(2.1~\text{kg-m/s}\) | 2. | \(1.4~\text{kg-m/s}\) |
| 3. | \(0~\text{kg-m/s}\) | 4. | \(4.2~\text{kg-m/s}\) |
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 bullet of mass 10g moving horizontal with a velocity of 400 m/s strikes a wood block of mass 2 kg which is suspended by light inextensible string of length 5 m. As result, the centre of gravity of the block found to rise a vertical distance of 10 cm. The speed of the bullet after it emerges of horizontally from the block wiil be
1. 100 m/s
2. 80 m/s
3. 120 m/s
4. 160 m/s
A rigid ball of mass \(M\) strikes a rigid wall at \(60^{\circ}\) and gets reflected without loss of speed, as shown in the figure. The value of the impulse imparted by the wall on the ball will be:

| 1. | \(Mv\) | 2. | \(2Mv\) |
| 3. | \(\dfrac{Mv}{2}\) | 4. | \(\dfrac{Mv}{3}\) |