1. | \(80~\text{N}\) | 2. | \(60~\text{N}\) |
3. | \(40~\text{N}\) | 4. | \(100~\text{N}\) |
1. | along south-west | 2. | along eastward |
3. | along northward | 4. | along north-east |
The two blocks A and B are placed on a smooth horizontal plane, with the string initially just taut. Forces are applied as shown. The tension in the string is:
1. | 5 N | 2. | 2 N |
3. | 1 N | 4. | 0 N |
Statement I: | (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. |
Statement II: | It is observed that when a car brakes suddenly, the passengers are thrown forward. |
1. | Statement I is True, Statement II is True, and Statement I is the correct explanation of Statement II. |
2. | Statement I is True, Statement II is True, and Statement I is not the correct explanation of Statement II. |
3. | Statement I is True, Statement II is False. |
4. | Statement I is False, Statement II is True. |
A nucleus moving with a velocity \(\overrightarrow v\) emits an \(\alpha\)-particle. Let the velocities of the α-particle and the remaining nucleus be \(\overrightarrow {v_1}\) and \(\overrightarrow {v_2}\) and their masses be \(m_1\) and \(m_2\).
1. | \(\overrightarrow v\), \(\overrightarrow {v_1}\) and \(\overrightarrow {v_2}\) must be parallel to each other. |
2. | \(\overrightarrow v\), \(\overrightarrow {v_1}\) and \(\overrightarrow {v_2}\) should be parallel to each other. | None of the two of
3. | \(\overrightarrow {v_1}\) + \(\overrightarrow {v_2}\) must be parallel to \(\overrightarrow v.\) |
4. | \(m_1\overrightarrow {v_1}\) and \(m_2\overrightarrow {v_2}\) must be parallel to \(\overrightarrow v.\) |
A particle is going in a spiral path as shown in the figure with constant speed.
1. | the velocity of the particle is constant. |
2. | the acceleration of the particle is constant. |
3. | the magnitude of the acceleration is constant. |
4. | the magnitude of the acceleration is decreasing continuously. |
A particle of mass \(m\) is observed from an inertial frame of reference and is found to move in a circle of radius \(r\) with a uniform speed \(v\). The centrifugal force on it is:
1. | \(\frac{mv^2}{r}\) towards the centre |
2. | \(\frac{mv^2}{r}\) away from the centre |
3. | \(\frac{mv^2}{r}\) along the tangent through the particle |
4. | zero |