Q. No.Given below are two statements:
| Statement I: | When a railway engine pulls a train and the system moves forward, the force exerted by the engine on the train is greater than that exerted by the train on the engine. |
| Statement II: | The normal force exerted by the ground on a man is the reaction force of the weight of the man. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Â Application of Laws |
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The acceleration of the \(4\) kg block is:
| 1. | \(\dfrac{3 g}{5} ~\text{down}\). | 2. | \(\dfrac{6 g}{5}\text{ down}\). |
| 3. | \(\dfrac{g}{5}\text{ down}\). | 4. | \(\dfrac{11 g}{5}\text{ down}\). |
Subtopic: Â Application of Laws |
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A uniform rod is pivoted at one of its ends, so that it can rotate freely in a vertical plane. Initially, it hangs vertically as shown in the figure. A sharp impulse is delivered to the rod at its lowest end \(B,\) towards the right. An impulse is exerted by the pivot at \(A,\) due to the constraint. The impulse at \(A\) acts:
1. to the right.
2. to the left.
3. upward.
4. downward.
1. to the right.
2. to the left.
3. upward.
4. downward.
Subtopic: Â Application of Laws |
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A box is moving down a frictionless \(30^{\circ}\) incline, and a particle is projected within the box. The acceleration of the particle relative to the box is:
1. \(g\)
2. \(g~\text{sin}30^{\circ}\)
3. \(g~\text{cos}30^{\circ}\)
4. \(g~\text{tan}30^{\circ}\)
1. \(g\)
2. \(g~\text{sin}30^{\circ}\)
3. \(g~\text{cos}30^{\circ}\)
4. \(g~\text{tan}30^{\circ}\)
Subtopic: Â Application of Laws |
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In the system shown in the figure, the strings and pulleys are ideal, and the block \(A\) moves downward while \(B\) moves to the right. \(A, B \) have equal masses. The acceleration of the block \(B\) is:
| 1. | \(\dfrac{g}{2}\) | 2. | \(\dfrac{g}{5}\) |
| 3. | \(\dfrac{2g}{5}\) | 4. | \(g\) |
Subtopic: Â Application of Laws |
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Two blocks of weight \(1\) kg and \(2\) kg are placed in contact with each other on a smooth horizontal plane. Horizontal forces are applied to the blocks as shown. The blocks move together only if:
1. \(F\leq10\) N
2. \(F>10\) N
3. \(F\leq20\) N
4. \(F>20\) N
1. \(F\leq10\) N
2. \(F>10\) N
3. \(F\leq20\) N
4. \(F>20\) N
Subtopic: Â Application of Laws |
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The two blocks \(A,B\) have identical masses and are connected by an ideal string. The block \(B\) lies on a smooth horizontal table with the connecting string horizontal and passing over a smooth light pulley. The relative acceleration of \(A\) with respect to \(B\) is:
1. \(g\)
2. \(\dfrac{g}{2}\)
3. \(\dfrac{g}{\sqrt2}\)
4. \(g\sqrt2\)
1. \(g\)
2. \(\dfrac{g}{2}\)
3. \(\dfrac{g}{\sqrt2}\)
4. \(g\sqrt2\)
Subtopic: Â Application of Laws |
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An Atwood's machine with blocks of masses \(3\) kg and \(2\) kg is set up in a laboratory. The string is taut and the blocks start moving at \(t=0.\)
The relative acceleration of the blocks has the magnitude:
1. \(\dfrac{g}{5}\)
2. \(\dfrac{2g}{5}\)
3. \(\dfrac{3g}{5}\)
4. \(\dfrac{4g}{5}\)
The relative acceleration of the blocks has the magnitude:
1. \(\dfrac{g}{5}\)
2. \(\dfrac{2g}{5}\)
3. \(\dfrac{3g}{5}\)
4. \(\dfrac{4g}{5}\)
Subtopic: Â Application of Laws |
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The average force needed to accelerate a car weighing \(500~\text{kg}\) from rest to \(36~\text{km/h}\) through a distance of \(25~\text{m}\), up a \(30^{\circ}\) incline is \((g =10~\text{m/s}^2)\):
1. \(1000~\text{N}\)
2. \(2500~\text{N}\)
3. \(1500~\text{N}\)
4. \(3500~\text{N}\)
1. \(1000~\text{N}\)
2. \(2500~\text{N}\)
3. \(1500~\text{N}\)
4. \(3500~\text{N}\)
Subtopic: Â Application of Laws |
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A ball of mass \(m\) falls from a height \(h\) onto the ground and rebounds to a height \(\dfrac{h}{4}\). The impulse on the ball from the ground has the magnitude:
| 1. | \(\dfrac{3}{4}m\sqrt{2gh}\) |
| 2. | \(\dfrac{5}{4}m\sqrt{2gh}\) |
| 3. | \(\dfrac{3}{2}m\sqrt{2gh}\) |
| 4. | \(\dfrac{1}{2}m\sqrt{2gh}\) |
Subtopic: Â Application of Laws |
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