Q. No.| 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). |
1. \(300\) m
2. \(30\) m
3. \(3\) m
4. \(0.3\) m
A particle moving with velocity \(\vec{v}\) is acted by three forces shown by the vector triangle \(\mathrm{PQR}.\) The velocity of the particle will:
| 1. | change according to the smallest force \(\mathrm{\overrightarrow{Q R}}\) |
| 2. | increase |
| 3. | decrease |
| 4. | remain constant |
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. | \(\frac{Mv}{2}\) | 4. | \(\frac{Mv}{3}\) |
The force \(\mathrm{F}\) acting on a particle of mass \(\mathrm{m}\) is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from \(0\) to \(8\) s is:
| 1. | \(24\) N-s | 2. | \(20\) N-s |
| 3. | \(12\) N-s | 4. | \(6\) N-s |
A body of mass \(M\) hits normally a rigid wall with velocity \(v\) and bounces back with the same velocity. The impulse experienced by the body is:
1. \(1.5Mv\)
2. \(2Mv\)
3. zero
4. \(Mv\)
An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, the first part 1 kg moving with a velocity of 12 and the second part 2 kg moving with a velocity of 8 . If the third part flies off with a velocity of 4 , its mass would be:
1. 5 kg
2. 7 kg
3. 17 kg
4. 3 kg
A body, under the action of a force \(\overset{\rightarrow}{F} = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}\), acquires an acceleration of 1 ms-2. The mass of this body must be:
1. 2 √10 kg
2. 10 kg
3. 20 kg
4. 10 √2 kg
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