Q. No.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 \(\overrightarrow v.\) |
| 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. |
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. \(\frac{\text w_{1}+\text w_{2}}{2}\)
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 |
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