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Q. No.The gravitational potential energy of a particle of mass \(m\) increases by \(mgh,\) when it is raised through a height \(h\) in a uniform gravitational field "\(g\)". If a particle of mass \(m\) is raised through a height \(h\) in the earth's gravitational field (\(g\): the field on the earth's surface) and the increase in gravitational potential energy is \(U\), then:
1.
\(U > mgh\)
2.
\(U < mgh\)
3.
\(U = mgh\)
4.
any of the above may be true depending on the value of \(h,\) considered relative to the radius of the earth.
Subtopic: Gravitational Potential Energy |
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A body of mass \(60~ \text{g}\) experiences a gravitational force of \(3.0~\text{N}\) when placed at a particular point. The magnitude of the gravitational field intensity at that point is:
| 1. | \(180 ~\text{N/kg}\) | 2. | \(0.05 ~\text{N/kg}\) |
| 3. | \(50 ~\text{N/kg}\) | 4. | \(20 ~\text{N/kg}\) |
Subtopic: Gravitational Field |
74%
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NEET - 2022
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A body weighs \(72\) N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth from the surface?
| 1. | \(72\) N | 2. | \(32\) N |
| 3. | \(28\) N | 4. | \(16\) N |
Subtopic: Acceleration due to Gravity |
88%
From NCERT
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The percentage decrease in the weight of a rocket, when it is taken to a height of \(32~\text{km}\) above the surface of the earth will be:
(the radius of the Earth \(R=6400~\text{km}\))
1. \(1\text{%}\)
2. \(3\text{%}\)
3. \(4\text{%}\)
4. \(0.5\text{%}\)
(the radius of the Earth \(R=6400~\text{km}\))
1. \(1\text{%}\)
2. \(3\text{%}\)
3. \(4\text{%}\)
4. \(0.5\text{%}\)
Subtopic: Acceleration due to Gravity |
85%
From NCERT
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Given below are two statements:
| Statement I: | The kinetic energy of a planet is maximum when it is closest to the sun. |
| Statement II: | The time taken by a planet to move from the closest position (perihelion) to the farthest position (aphelion) is larger for a planet that is farther from the sun. |
| 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: Kepler's Laws |
71%
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The value of acceleration due to gravity on the surface of a planet is \(\left ( \dfrac{1}{6} \right )\)th that of the earth. The radius of the planet is \(\left ( \dfrac{1}{3} \right )\)rd of earth's radius. What is the escape speed from the surface of the planet?
(Given the escape from the surface of earth is \(v_{e}\) km/s)
(Given the escape from the surface of earth is \(v_{e}\) km/s)
| 1. | \(\sqrt{\dfrac{1}{18}} v_e\) | 2. | \(\sqrt{\dfrac{1}{2}} v_e\) |
| 3. | \(\sqrt{\dfrac{1}{9}} v_e\) | 4. | \(\sqrt{\dfrac{1}{10}} v_e\) |
Subtopic: Escape velocity |
79%
From NCERT
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The variation of intensity of the gravitational field \((E)\) of the moon (having radius \(R\) ) with distance \((r)\) from the centre of the moon is represented by:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Acceleration due to Gravity |
58%
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A satellite of mass \(M\) is revolving around the Earth in a stationary orbit with a time period \(T.\) If \(10\%\) of the satellite's mass is detached, what will happen to its time period?
1. remain the same
2. increase by \(10\%\)
3. decrease by \(10\%\)
4. decrease by \(20\%\)
Subtopic: Satellite |
81%
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Four particles, each of mass \(m,\) are kept at the four corners of a square of side \(l\) each. The amount of work done to separate these particles for no interaction between them will be:
1. \(\dfrac{4Gm^2}{l}\)
2. \(-{\dfrac{Gm^2} {l}}(4+\sqrt 2)\)
3. \({\dfrac{Gm^2}{l}}(4+\sqrt 2)\)
4. \(\dfrac{{Gm}^2}{l}\left(1+\dfrac{1}{\sqrt{2}}\right)\)
1. \(\dfrac{4Gm^2}{l}\)
2. \(-{\dfrac{Gm^2} {l}}(4+\sqrt 2)\)
3. \({\dfrac{Gm^2}{l}}(4+\sqrt 2)\)
4. \(\dfrac{{Gm}^2}{l}\left(1+\dfrac{1}{\sqrt{2}}\right)\)
Subtopic: Gravitational Potential |
From NCERT
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Two planets \(A\) and \(B\) of equal masses are having their periods of revolution \(T_{A}\) and \(T_{B}\) such that \(T_{A}=2 {T}_{B}\). These planets are revolving in the circular orbits of radii \({r}_{A}\) and \(r_{B}\) respectively. Which of the following would be the correct relationship of their orbits?
1. \(2 r_{A}^2=r_{B}^2 \)
2. \(r_{A}^3=2 r_{B}^3 \)
3. \(r_{A}^3=4{r}_{B}^3 \)
4. \(T_{A}^2-{T}_{B}^2=\dfrac{\pi^2}{GM}\left({r}_{B}^3-4 {r}_{A}^3\right)\)
1. \(2 r_{A}^2=r_{B}^2 \)
2. \(r_{A}^3=2 r_{B}^3 \)
3. \(r_{A}^3=4{r}_{B}^3 \)
4. \(T_{A}^2-{T}_{B}^2=\dfrac{\pi^2}{GM}\left({r}_{B}^3-4 {r}_{A}^3\right)\)
Subtopic: Kepler's Laws |
78%
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