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Q. No.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
Subtopic: Conservation of Mechanical Energy |
78%
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 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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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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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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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%
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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%
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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%
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