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Q. No.A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:
1. along south-west
2. along eastward
3. along northward
4. along north-east
Subtopic: Newton's Laws |
55%
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A block is placed on a smooth horizontal surface, and forces are applied to it as shown in the diagram. Take \(g=10~\text{m/s}^2.\) The normal reaction acting on the block is:
1. \(100~\text N\)
2. \(60~\text N\)
3. \(40~\text N\)
4. \(20~\text N\)
1. \(100~\text N\)
2. \(60~\text N\)
3. \(40~\text N\)
4. \(20~\text N\)
Subtopic: Tension & Normal Reaction |
70%
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The system of blocks is pulled up by force as shown in the figure. The force exerted on the \(3\) kg block by the connecting string is:
| 1. | \(80~\text{N}\) | 2. | \(60~\text{N}\) |
| 3. | \(40~\text{N}\) | 4. | \(100~\text{N}\) |
Subtopic: Application of Laws |
69%
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A constant force \(F\) is applied to the string so that the \(3\) kg block does not move, but the \(5\) kg block moves horizontally. The acceleration of the \(5\) kg block is: (take \(g=10\) m/s2)
| 1. | \(6\) m/s2 | 2. | \(3\) m/s2 |
| 3. | \(1.5\) m/s2 | 4. | \(1.2\) m/s2 |
Subtopic: Application of Laws |
71%
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A block of mass \(m\) is placed between two springs connected to the ends of a railroad car. The surface supporting the block is horizontal, and the spring are initially relaxed. The car is given an acceleration \(a\) and the mass \(m\) finally comes to equilibrium within the car. Let \(x\) be the compression (or extension) in the two springs. Assume friction to be negligible. Then:
| 1. | \(k_1x-k_2x=ma \) |
| 2. | \(\dfrac{k_1k_2}{k_1+k_2}x=ma \) |
| 3. | \(k_1x+k_2x=ma \) |
| 4. | \(\dfrac{k_1k_2}{k_1-k_2}=ma \) |
Subtopic: Spring Force |
57%
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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. | \(0~\text{N}\) |
Subtopic: Newton's Laws |
75%
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Given below are two statements:
| Assertion (A): | (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. |
| Reason (R): | It is observed that when a car brakes suddenly, the passengers are thrown forward. |
| 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. |
Subtopic: Newton's Laws |
69%
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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 \(\overrightarrow v.\) |
Subtopic: Newton's Laws |
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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. |
Subtopic: Uniform Circular Motion |
76%
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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 |
Subtopic: Uniform Circular Motion |
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