Q. No.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.
\(\dfrac{\text w_{1}+\text w_{2}}{2}\)
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. |
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 |
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. | insufficient information to decide the relation of \(N_A\) and \(N_B\) |
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. | None of the two of \(\overrightarrow v\), \(\overrightarrow {v_1}\) and \(\overrightarrow {v_2}\) should be parallel to each other. |
| 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 \(\overrightarrow v.\) |
| 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. |
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. | \(5~\text{N}\) | 2. | \(2~\text{N}\) |
| 3. | \(1~\text{N}\) | 4. | \(0~\text{N}\) |
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