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Q. No.The radius of Martian orbit around the sun is about \(4\) times the radius of the orbit of mercury. The Martian year is \(687\) earth days. Then which of the following is the length of \(1\) year on mercury?
1. \(172\) earth days
2. \(124\) earth days
3. \(88\) earth days
4. \(225\) earth days
1. \(172\) earth days
2. \(124\) earth days
3. \(88\) earth days
4. \(225\) earth days
Subtopic: Kepler's Laws |
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Level 3: 35%-60%
NEET - 2025
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A body weight \(48~\text{N}\) on the surface of the earth. The gravitational force experienced by the body due to the Earth at a height equal to one-third the radius of the Earth from its surface is:
1. \(32~\text N\)
2. \(36~\text N\)
3. \(16~\text N\)
4. \(27~\text N\)
1. \(32~\text N\)
2. \(36~\text N\)
3. \(16~\text N\)
4. \(27~\text N\)
Subtopic: Acceleration due to Gravity |
53%
Level 3: 35%-60%
NEET - 2025
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A planet has a mass equal to \(\left ( \dfrac{1}{10} \right )^{\mathrm{th}} \) of Earth's mass and a diameter equal to half of Earth's diameter. The acceleration due to gravity on this 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 |
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Level 2: 60%+
NEET - 2024
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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. \(\dfrac{2 G m M}{3 R} \)
2. \(\dfrac{G m M}{2 R} \)
3. \(\dfrac{G m M}{3 R} \)
4. \( \dfrac{5 G m M}{6 R}\)
1. \(\dfrac{2 G m M}{3 R} \)
2. \(\dfrac{G m M}{2 R} \)
3. \(\dfrac{G m M}{3 R} \)
4. \( \dfrac{5 G m M}{6 R}\)
Subtopic: Satellite |
Level 3: 35%-60%
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%
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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 |
80%
Level 1: 80%+
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If the escape velocity from the surface of Earth is denoted by \(v,\) then what would be the escape velocity from the surface of a planet whose mass is \(9\) times and radius is \(16\) times that of Earth?
| 1. | \(\dfrac{v}{3}\) | 2. | \(\dfrac{2v}{3}\) |
| 3. | \(\dfrac{3v}{4}\) | 4. | \(\dfrac{9v}{4}\) |
Subtopic: Escape velocity |
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An object of mass \(100 ~\text{kg}\) falls from point \(A\) to \(B\) as shown in the figure. The change in its weight, corrected to the nearest integer (\(R_E\) is the radius of the Earth), is:
1. \(49~\text N\)
2. \(89~\text N\)
3. \(5~\text N\)
4. \(10~\text N\)
1. \(49~\text N\)
2. \(89~\text N\)
3. \(5~\text N\)
4. \(10~\text N\)
Subtopic: Acceleration due to Gravity |
60%
Level 2: 60%+
NEET - 2024
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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)
(\(G=\) 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 |
58%
Level 3: 35%-60%
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 \(\dfrac{3 \pi}{G d}\) represents:
| 1. | \(\sqrt{T}\) | 2. | \(T\) |
| 3. | \(T^2\) | 4. | \(T^3\) |
Subtopic: Satellite |
70%
Level 2: 60%+
NEET - 2023
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