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Q. No.Two bodies of mass \(m\) and \(9m\) are placed at a distance \(R\). The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be: ( \(G\)= gravitational constant)
1. \(-\frac{20~GM}{R}\)
2. \(-\frac{8~GM}{R}\)
3. \(-\frac{12~GM}{R}\)
4. \(-\frac{16~GM}{R}\)
1. \(-\frac{20~GM}{R}\)
2. \(-\frac{8~GM}{R}\)
3. \(-\frac{12~GM}{R}\)
4. \(-\frac{16~GM}{R}\)
Subtopic: Gravitational Potential |
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NEET - 2023
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A satellite is orbiting just above the surface of the earth with period \(T.\) If d is the density of the earth and \(G\) is the universal constant of gravitation, the quantity \(\frac{3 \pi}{G d}\) represents:
1. \(\sqrt{T}\)
2. \(T\)
3. \(T^2\)
4. \(T^3\)
1. \(\sqrt{T}\)
2. \(T\)
3. \(T^2\)
4. \(T^3\)
Subtopic: Satellite |
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NEET - 2023
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The escape velocity of a body on the earth's surface is \(11.2\) km/s. If the same body is projected upward with a velocity \(22.4\) km/s, the velocity of this body at infinite distance from the center of the earth will be:
1. \(11.2\sqrt2\) km/s
2. zero
3. \(11.2\) km/s
4. \(11.2\sqrt3\) km/s
1. \(11.2\sqrt2\) km/s
2. zero
3. \(11.2\) km/s
4. \(11.2\sqrt3\) km/s
Subtopic: Escape velocity |
From NCERT
NEET - 2023
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If \(R\) is the radius of the earth and \(g\) is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be:
| 1. | \(\frac{\pi RG}{12g}\) | 2. | \(\frac{3\pi R}{4gG}\) |
| 3. | \(\frac{3g}{4\pi RG}\) | 4. | \(\frac{4\pi G}{3gR}\) |
Subtopic: Acceleration due to Gravity |
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NEET - 2023
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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 |
69%
From NCERT
NEET - 2022
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Assuming the earth to be a sphere of uniform density, its acceleration due to gravity acting on a body:
| 1. | increases with increasing altitude. |
| 2. | increases with increasing depth. |
| 3. | is independent of the mass of the earth. |
| 4. | is independent of the mass of the body. |
Subtopic: Acceleration due to Gravity |
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NEET - 2022
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Two planets are in a circular orbit of radius \(R\) and \(4R\) about a star. At a specific time, the two planets and the star are in a straight line. If the period of the closest planet is \(T,\) then the star and planets will again be in a straight line after a minimum time:
| 1. | \((4)^2T\) | 2. | \((4)^{\frac13}T\) |
| 3. | \(2T\) | 4. | \(8T\) |
Subtopic: Kepler's Laws |
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NEET - 2022
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In a gravitational field, the gravitational potential is given by, \(V=-\frac{K}x\) J/kg. The gravitational field intensity at point \((2,0,3)\) m is:
1. \(+\frac K2\)
2. \(-\frac{K}{2}\)
3. \(-\frac{K}{4}\)
4. \(+\frac K4\)
1. \(+\frac K2\)
2. \(-\frac{K}{2}\)
3. \(-\frac{K}{4}\)
4. \(+\frac K4\)
Subtopic: Gravitational Field |
From NCERT
NEET - 2022
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The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is:
| 1. | 3v | 2. | 4v |
| 3. | v | 4. | 2v |
Subtopic: Escape velocity |
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NEET - 2021
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A particle of mass \(m\) is projected with a velocity, \(v=kV_{e} ~(k<1)\) from the surface of the earth. The maximum height, above the surface, reached by the particle is: (Where \(V_e=\) escape velocity, \(R=\) radius of the earth)
| 1. | \(\frac{R^{2}k}{1+k}\) | 2. | \(\frac{Rk^{2}}{1-k^{2}}\) |
| 3. | \(R\left ( \frac{k}{1-k} \right )^{2}\) | 4. | \(R\left ( \frac{k}{1+k} \right )^{2}\) |
Subtopic: Escape velocity |
57%
From NCERT
NEET - 2021
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