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Q. No.The minimum energy required to launch a satellite of mass \(m\) from the surface of the 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.
\( \frac{5 G m M}{6 R}\)
Subtopic: Satellite |
From NCERT
NEET - 2024
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A rocket is fired vertically upward with a speed of \(\dfrac{v_e}{\sqrt2}\) from the Earth's surface, where \(v_e\) is escape velocity on the surface of Earth. The distance from the surface of Earth upto which the rocket can go before returning to the Earth is:
(given, the radius of Earth \(=6400~\text{km}\) )
1. \(1600~\text{km}\)
2. \(3200~\text{km}\)
3. \(6400~\text{km}\)
4. \(12800~\text{km}\)
(given, the radius of Earth \(=6400~\text{km}\) )
1. \(1600~\text{km}\)
2. \(3200~\text{km}\)
3. \(6400~\text{km}\)
4. \(12800~\text{km}\)
Subtopic: Escape velocity |
66%
From NCERT
NEET - 2024
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A body weighing \(100~\text{N}\) on the surface of the Earth weights \(x~\text{kg-ms}^{-2}\) at a height \(\frac{1}{9} R_E\) above the surface of Earth. The value of \(x\) is:
(take \(g= 10~\text{m}~ \text{s}^{-2}\) at the surface of Earth and \(R_E\) is the radius of Earth)
1. \(72\)
2. \(54\)
3. \(81\)
4. \(62\)
(take \(g= 10~\text{m}~ \text{s}^{-2}\) at the surface of Earth and \(R_E\) is the radius of Earth)
1. \(72\)
2. \(54\)
3. \(81\)
4. \(62\)
Subtopic: Acceleration due to Gravity |
79%
From NCERT
NEET - 2024
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The mass of a planet is \(\left ( \frac{1}{10} \right )^{\text{th}} \) 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. | \(19.6~\text{ms}^{-2}\) |
Subtopic: Acceleration due to Gravity |
65%
From NCERT
NEET - 2024
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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. | \(\dfrac{\pi RG}{12g}\) | 2. | \(\dfrac{3\pi R}{4gG}\) |
| 3. | \(\dfrac{3g}{4\pi RG}\) | 4. | \(\dfrac{4\pi G}{3gR}\) |
Subtopic: Acceleration due to Gravity |
78%
From NCERT
NEET - 2023
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The escape velocity of a body on the earth's surface is \(11.2~\text{km/s}.\) If the same body is projected upward with a velocity \(22.4~\text{km/s},\) the velocity of this body at an infinite distance from the centre of the earth will be:
| 1. | \(11.2\sqrt2~\text{km/s}\) | 2. | zero |
| 3. | \(11.2~\text{km/s}\) | 4. | \(11.2\sqrt3~\text{km/s}\) |
Subtopic: Escape velocity |
From NCERT
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 |
69%
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. \(-\dfrac{20~Gm}{R}\)
2. \(-\dfrac{8~Gm}{R}\)
3. \(-\dfrac{12~Gm}{R}\)
4. \(-\dfrac{16~Gm}{R}\)
(\(G=\) gravitational constant)
1. \(-\dfrac{20~Gm}{R}\)
2. \(-\dfrac{8~Gm}{R}\)
3. \(-\dfrac{12~Gm}{R}\)
4. \(-\dfrac{16~Gm}{R}\)
Subtopic: Gravitational Potential |
54%
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 the point \((2,0,3)~\text m\) is:
| 1. | \(+\dfrac K2\) | 2. | \(-\dfrac{K}{2}\) |
| 3. | \(-\dfrac{K}{4}\) | 4. | \(+\dfrac K4\)
|
Subtopic: Gravitational Field |
From NCERT
NEET - 2022
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NEET 2025 - Target Batch
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NEET 2025 - Target Batch
Two planets orbit a star in circular paths with radii \(R\) and \(4R,\) respectively. At a specific time, the two planets and the star are aligned in a straight line. If the orbital period of the planet closest to the star is \(T,\) what is the minimum time after which the star and the planets will again be aligned in a straight line?
| 1. | \((4)^2T\) | 2. | \((4)^{\frac13}T\) |
| 3. | \(2T\) | 4. | \(8T\) |
Subtopic: Kepler's Laws |
65%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
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NEET 2025 - Target Batch
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