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Q. No.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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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 \(\dfrac{3 \pi}{G d}\) represents:
| 1. | \(\sqrt{T}\) | 2. | \(T\) |
| 3. | \(T^2\) | 4. | \(T^3\) |
Subtopic: Satellite |
70%
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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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 |
79%
From NCERT
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 |
73%
From NCERT
NEET - 2022
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Match List-I with List-II.
Choose the correct answer from the options given below:
| List-I | List-II | ||
| (a) | Gravitational constant (\(G\)) | (i) | \([{L}^2 {~T}^{-2}] \) |
| (b) | Gravitational potential energy | (ii) | \([{M}^{-1} {~L}^3 {~T}^{-2}] \) |
| (c) | Gravitational potential | (iii) | \([{LT}^{-2}] \) |
| (d) | Gravitational intensity | (iv) | \([{ML}^2 {~T}^{-2}]\) |
| (a) | (b) | (c) | (d) | |
| 1. | (iv) | (ii) | (i) | (iii) |
| 2. | (ii) | (i) | (iv) | (iii) |
| 3. | (ii) | (iv) | (i) | (iii) |
| 4. | (ii) | (iv) | (iii) | (i) |
Subtopic: Gravitational Potential |
72%
From NCERT
NEET - 2022
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