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Q. No.Given below are two statements:
Assertion (A):
When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded.
Reason (R):
The explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion.
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: Collisions |
From NCERT
NEET - 2022
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NEET 2025 - Target Batch
A car moves on an inclined plane and covers \(10\) km path under the action of a horizontal force of \(5\) N. The work done on the car is \(25\) kJ. The inclination of the plane to horizontal is:
1. \(75^\circ\)
2. \(60^\circ\)
3. \(45^\circ\)
4. \(30^\circ\)
1. \(75^\circ\)
2. \(60^\circ\)
3. \(45^\circ\)
4. \(30^\circ\)
Subtopic: Work done by constant force |
81%
From NCERT
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Under the action of a force, a mass of \(2~\text{kg}\) moves such that its position \(x \) at any time \(t\) is given by: \(x =t^{3}/3,\) where \(x \) is in meters and \(t\) is in seconds. The work done by the force in the first two seconds is:
| 1. | \(16~\text{J}\) | 2. | \(1.6~\text{J}\) |
| 3. | \(160~\text{J}\) | 4. | \(16~\text{kJ}\) |
Subtopic: Work Done by Variable Force |
76%
From NCERT
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A block of mass \(1\) kg can slide down a smooth curved track (see the figure given below). If the block is released from point \(A\), the velocity at point \(B\) will be:
(Take \(g=10~\text{m/s}^{2}\))
1. \(20\) ms–1
2. \(10\sqrt2\) ms–1
3. \(10\) ms–1
4. \(\sqrt10\) ms–1
(Take \(g=10~\text{m/s}^{2}\))
1. \(20\) ms–1
2. \(10\sqrt2\) ms–1
3. \(10\) ms–1
4. \(\sqrt10\) ms–1
Subtopic: Conservation of Mechanical Energy |
78%
From NCERT
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A gravitational field is present in a region, and a mass is shifted from \(A\) to \(B\) through different paths as shown. If \(W_1\), \(W_2\) and \(W_3\) represent the work done by the gravitational force along their respective paths, then:
| 1. | \(W_1=W_2=W_3\) | 2. | \(W_1>W_2>W_3\) |
| 3. | \(W_1>W_3>W_2\) | 4. | \(W_1<W_2<W_3\) |
Subtopic: Gravitational Potential Energy |
87%
From NCERT
NEET - 2022
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NEET 2025 - Target Batch
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NEET 2025 - Target Batch
A constant force, \(\vec F=2\hat i-\hat j+5\hat k\) N acts on a body to move it along the \(x\)-axis. The work done by the force to move it by \(2\) m along the \(x \)-axis will be:
| 1. | \(12\) J | 2. | \(16\) J |
| 3. | \(0\) | 4. | \(4\) J |
Subtopic: Work done by constant force |
89%
From NCERT
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Potential energy as a function of \({r}\) is given by; \({U}=\dfrac{{A}}{{r}^{10}}-\dfrac{{B}}{{r}^5},\) where \({r}\) is the interatomic distance, and \({A}\) and \({B}\) are positive constants. The equilibrium distance between the two atoms will be:
| 1. | \(\left ( \dfrac{{A}}{{B}}\right )^{1/5}\) | 2. | \(\left ( \dfrac{{B}}{{A}}\right )^{1/5}\) |
| 3. | \(\left ( \dfrac{{2A}}{{B}}\right )^{1/5}\) | 4. | \(\left ( \dfrac{{B}}{{2A}}\right )^{1/5}\) |
Subtopic: Potential Energy: Relation with Force |
81%
From NCERT
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A ball with a mass of \(100\) g is dropped from a height of \(h=10\) cm onto a platform fixed at the top of a vertical spring (as shown in the figure). The ball remains on the platform, and the platform is depressed by a distance of \(\dfrac {h} {2}.\) The spring constant is: (use \(g=10\) ms-2)
| 1. | \(100\) Nm–1 | 2. | \(110\) Nm–1 |
| 3. | \(120\) Nm–1 | 4. | \(130\) Nm–1 |
Subtopic: Elastic Potential Energy |
75%
From NCERT
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A particle experiences a variable force \(\vec F = (4x \hat i + 3y^2 \hat j)\) in a horizontal x-y plane. Assume distance in meters and force is in newton. If the particle moves from point \((1,2)\) to point \((2,3)\) in the x-y plane, the kinetic energy changes by:
1. \(50.0\) J
2. \(12.5\) J
3. \(25.0\) J
4. \(0\)
1. \(50.0\) J
2. \(12.5\) J
3. \(25.0\) J
4. \(0\)
Subtopic: Work Energy Theorem |
81%
From NCERT
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A boat of mass \(200\) kg is accelerated by an engine of power \(16\) kW. If the boat covers a distance of \(72\) km in \(2\) hr, the acceleration of the boat is:
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
Subtopic: Power |
80%
From NCERT
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