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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 |
53%
From NCERT
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 |
From NCERT
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 |
67%
From NCERT
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. | \(\frac{2 G m M}{3 R} \) | 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 |
65%
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 escape velocity for Earth is \(v.\) A planet having \(9\) times the mass of Earth and a radius, \(16\) times that of Earth, has the escape velocity of:
1. \(\dfrac{v}{3}\)
2. \(\dfrac{2v}{3}\)
3. \(\dfrac{3v}{4}\)
4. \(\dfrac{9v}{4}\)
1. \(\dfrac{v}{3}\)
2. \(\dfrac{2v}{3}\)
3. \(\dfrac{3v}{4}\)
4. \(\dfrac{9v}{4}\)
Subtopic: Escape velocity |
83%
From NCERT
NEET - 2024
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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%
From NCERT
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)
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 |
57%
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 |
70%
From NCERT
NEET - 2023
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