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Q. No.The kinetic energies of two similar cars \(A\) and \(B\) are \(100~\text J\) and \(225~\text J\) respectively. On applying breaks, car \(A\) stops after \(1000~\text m\) and car \(B\) stops after \(1500~\text m.\) If \(F_A\) and \(F_B\) are the forces applied by the breaks on cars \(A\) and \(B,\) respectively, then the ratio \(F_A/F_B\) is:
| 1. | \(\dfrac{1}{3}\) | 2. | \(\dfrac{1}{2}\) |
| 3. | \(\dfrac{3}{2}\) | 4. | \(\dfrac{2}{3}\) |
Subtopic: Work Energy Theorem |
58%
From NCERT
NEET - 2025
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A bob of heavy mass \(m\) is suspended by a light string of length \(l.\) The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point \(P\) making an angle \(\theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point \(P\) to its initial speed \(v_0\) is:
| 1. | \(\left(\dfrac{\cos \theta}{2+3 \sin \theta}\right)^{-1 / 2}\) | 2. | \(\left(\dfrac{\sin \theta}{2+3 \sin \theta}\right)^{1 / 2}\) |
| 3. | \((\sin \theta)^{1 / 2}\) | 4. | \(\left(\dfrac{1}{2+3 \sin \theta}\right)^{1 / 2}\) |
Subtopic: Conservation of Mechanical Energy |
From NCERT
NEET - 2025
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Two bodies \(A\) and \(B\) of the same mass undergo completely inelastic one-dimensional collision. The body \(A\) moves with velocity \(v_1\) while the body \(B\) is at rest before collision. The velocity of the system after collision is \(v_2.\) The ratio of \(v_1:v_2\) is:
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
1. \(2:1\)
2. \(4:1\)
3. \(1:4\)
4. \(1:2\)
Subtopic: Collisions |
65%
From NCERT
NEET - 2024
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At any instant of time \(t,\) the displacement of any particle is given by \(2t-1\) (SI unit) under the influence of the force of \(5~\text N.\) The value of instantaneous power (in SI units) is:
1. \(5\)
2. \(7\)
3. \(6\)
4. \(10\)
1. \(5\)
2. \(7\)
3. \(6\)
4. \(10\)
Subtopic: Power |
72%
From NCERT
NEET - 2024
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The object \(A\) has half the kinetic energy as that of the object \(B.\) The object \(B\) has half the mass as that of the object \(A.\) The object \(A\) speeds up by \(1~\text{ms}^{-1}\) and then has the same kinetic energy as that of the object \(B.\) The initial speed of the object \(A\) is:
(Take \(\sqrt2\cong1.4\))
(Take \(\sqrt2\cong1.4\))
| 1. | \(0.5~\text{ms}^{-1}\) | 2. | \(1~\text{ms}^{-1}\) |
| 3. | \(2.5~\text{ms}^{-1}\) | 4. | \(4.8~\text{ms}^{-1}\) |
Subtopic: Work Energy Theorem |
51%
From NCERT
NEET - 2024
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A particle is displaced through \((3 \hat{i}+4 \hat{j})~\text{m}\) by force \(2 \hat{i}~\text{N}\). The work done is:
1. \(14~\text{J}\)
2. \(8~\text{J}\)
3. \(6~\text{J}\)
4. \(10~\text{J}\)
1. \(14~\text{J}\)
2. \(8~\text{J}\)
3. \(6~\text{J}\)
4. \(10~\text{J}\)
Subtopic: Work done by constant force |
86%
From NCERT
NEET - 2024
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An object is moving along the horizontal \(x\text-\)direction with an initial kinetic energy of \(10~\text J.\) It is displaced through \(x=(3\hat{i})~\text{m}\) under the influence of a force \(\vec{{{F}}}=(-2\hat{i}+3\hat{j})~\text N.\) The kinetic energy of the object at the end of the displacement \(x\) is:
| 1. | \(10~\text{J}\) | 2. | \(16~\text J\) |
| 3. | \(4~\text J\) | 4. | \(6~\text J\) |
Subtopic: Work Energy Theorem |
68%
From NCERT
NEET - 2024
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An object falls from a height of \(10~\text m\) above the ground. After striking the ground it loses \(50\%\) of its kinetic energy. The height up to which the object can re-bounce from the ground is:
| 1. | \(7.5~\text m\) | 2. | \(10~\text m\) |
| 3. | \(2.5~\text m\) | 4. | \(5~\text m\) |
Subtopic: Gravitational Potential Energy |
67%
From NCERT
NEET - 2024
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The potential energy of a long spring when stretched by \(2~\text{cm}\) is \(U.\) If the spring is stretched by \(8~\text{cm},\) the potential energy stored in it will be:
| 1. | \(16U\) | 2. | \(2U\) |
| 3. | \(4U\) | 4. | \(8U\) |
Subtopic: Elastic Potential Energy |
75%
From NCERT
NEET - 2023
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A bullet from a gun is fired on a rectangular wooden block with velocity \(u\). When bullet travels \(24\) cm through the block along its length horizontally, velocity of bullet becomes \(u/3\). Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is:
| 1. | \(30\) cm | 2. | \(27\) cm |
| 3. | \(24\) cm | 4. | \(28\) cm |
Subtopic: Work Energy Theorem |
70%
From NCERT
NEET - 2023
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