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Q. No.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. \(T^3\)
Subtopic: Â Satellite |
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From NCERT
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: Â 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: Â Acceleration due to Gravity |
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From NCERT
NEET - 2023
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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: Â Gravitational Potential |
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From NCERT
NEET - 2023
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In a gravitational field, the gravitational potential is given by, \(V=-\frac{K}{x}~\text{J/kg}\). The gravitational field intensity at point \((2,0,3)\) m is:
| 1. | \(+\frac K2\) | 2. | \(-\frac{K}{2}\) |
| 3. | \(-\frac{K}{4}\) | 4. | \(+\frac K4\) |
Subtopic: Â Gravitational Field |
From NCERT
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: Â Kepler's Laws |
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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: Â Acceleration due to Gravity |
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From NCERT
NEET - 2022
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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: Â Gravitational Field |
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NEET - 2022
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The mass of a planet is \(\left ( \frac{1}{10} \right )^{\mathrm{th}}\) that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:
1. \(9.8 ~\text{ms}^{-2}\)
2. \(4.9 ~\text{ms}^{-2}\)
3. \(3.92 ~\text{ms}^{-2}\)
4. \(19.6~\text{ms}^{-2}\)
1. \(9.8 ~\text{ms}^{-2}\)
2. \(4.9 ~\text{ms}^{-2}\)
3. \(3.92 ~\text{ms}^{-2}\)
4. \(19.6~\text{ms}^{-2}\)
Subtopic: Â Acceleration due to Gravity |
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From NCERT
NEET - 2024
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The minimum energy required to launch a satellite of mass \(m\) from the surface of earth of mass \(M\) and radius \(R\) in a circular orbit at an altitude of \(2R\) from the surface of the earth is:
1. \(\frac{2 G m M}{3 R} \)
2. \(\frac{G m M}{2 R} \)
3. \(\frac{G m M}{3 R} \)
4. \( \frac{5 G m M}{6 R}\)
1. \(\frac{2 G m M}{3 R} \)
2. \(\frac{G m M}{2 R} \)
3. \(\frac{G m M}{3 R} \)
4. \( \frac{5 G m M}{6 R}\)
Subtopic: Â Satellite |
From NCERT
NEET - 2024
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