Two objects \(A\) and \(B\) are thrown upward simultaneously with the same speed. The mass of \(A\) is greater than the mass of \(B\). Suppose the air exerts a constant and equal force of resistance on the two bodies.
1. | the two bodies will reach the same height. |
2. | \(A\) will go higher than \(B\). |
3. | \(B\) will go higher than \(A\). |
4. | any of the above three may happen depending on the speed with which the objects are thrown. |
A car moves at a constant speed on a road as shown in the figure. The normal force by the road on the car is \(N_A\) and \(N_B\) when it is at the points \(A\) and \(B\) respectively.
1. | \( N_A=N_B \) |
2. | \( N_A>N_B \) |
3. | \(N_A<N_B\) |
4. | \(N_A\) and \(N_B\) | insufficient information to decide the relation of
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 |
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 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 \(\overrightarrow v.\) |
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. |
Neglect the effect of rotation of the earth. Suppose the earth suddenly stops attracting objects placed near its surface. A person standing on the surface of the earth will:
1. | fly up |
2. | slip along the surface |
3. | fly along a tangent to the earth’s surface |
4. | remain standing |
When a horse pulls a cart, the force that helps the horse to move forward is the force exerted by:
1. | the cart on the horse. |
2. | the ground on the horse. |
3. | the ground on the cart. |
4. | the horse on the ground. |
A body of weight \(\mathrm{w}_{1}\) is suspended from the ceiling of a room through a chain of weight \(\mathrm{w}_{2}.\)The ceiling pulls the chain by a force:
1. | \(\mathrm{w}_{1}\) | 2. | \(\mathrm{w}_{2}\) |
3. | \(\mathrm{w}_{1}+\mathrm{w}_{2}\) | 4. | \(\dfrac{\text w_{1}+\text w_{2}}{2}\) |
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 |