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Q. No.Rohini satellite is at a height of \(500\) km and Insat-B is at a height of \(3600\) km from the surface of the earth. The relation between their orbital velocity (\(v_R,~v_i\)) is:
1. \(v_R>v_i\)
2. \(v_R<v_i\)
3. \(v_R=v_i\)
4. no specific relation
1. \(v_R>v_i\)
2. \(v_R<v_i\)
3. \(v_R=v_i\)
4. no specific relation
Subtopic: Orbital velocity |
78%
From NCERT
AIPMT - 1999
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Two spheres of masses \(m\) and \(M\) are situated in air and the gravitational force between them is \(F.\) If the space around the masses is filled with a liquid of specific density \(3,\) the gravitational force will become:
1. \(3F\)
2. \(F\)
3. \(F/3\)
4. \(F/9\)
Subtopic: Newton's Law of Gravitation |
83%
From NCERT
AIPMT - 2003
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Imagine a new planet having the same density as that of the Earth but \(3\) times bigger than the Earth in size. If the acceleration due to gravity on the surface of the earth is \(g\) and that on the surface of the new planet is \(g',\) then:
| 1. | \(g' = 3g\) | 2. | \(g' = 9g\) |
| 3. | \(g' = \frac{g}{9}\) | 4. | \(g' = 27g\) |
Subtopic: Acceleration due to Gravity |
82%
From NCERT
AIPMT - 2005
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A particle is released from a height of \(S\) above the surface of the earth. At a certain height, its kinetic energy is three times its potential energy. The distance from the earth's surface and the speed of the particle at that instant are respectively:
| 1. | \(\frac{S}{2},\frac{\sqrt{3gS}}{2}\) | 2. | \(\frac{S}{4}, \sqrt{\frac{3gS}{2}}\) |
| 3. | \(\frac{S}{4},\frac{3gS}{2}\) | 4. | \(\frac{S}{4},\frac{\sqrt{3gS}}{3}\) |
Subtopic: Gravitational Potential Energy |
70%
From NCERT
NEET - 2021
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The escape velocity from the Earth's surface is \(v\). The escape velocity from the surface of another planet having a radius, four times that of Earth and the same mass density is:
| 1. | \(3v\) | 2. | \(4v\) |
| 3. | \(v\) | 4. | \(2v\) |
Subtopic: Escape velocity |
61%
From NCERT
NEET - 2021
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A planet revolving in elliptical orbit has:
| (A) | a constant velocity of revolution. |
| (B) | the least velocity when it is nearest to the sun. |
| (C) | its areal velocity directly proportional to its velocity. |
| (D) | its areal velocity inversely proportional to its velocity. |
| (E) | to follow a trajectory such that the areal velocity is constant. |
Choose the correct answer from the options given below:
| 1. | (A) only | 2. | (D) only |
| 3. | (C) only | 4. | (E) only |
Subtopic: Kepler's Laws |
72%
From NCERT
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If \(v_e\) is the escape velocity and \(v_0\) is the orbital velocity of a satellite for orbit close to the earth's surface, then these are related by:
| 1. | \(v_o=v_e\) | 2. | \(v_e=\sqrt{2v_o}\) |
| 3. | \(v_e=\sqrt{2}~v_o\) | 4. | \(v_o=\sqrt{2}~v_e\) |
Subtopic: Orbital velocity |
79%
From NCERT
AIPMT - 2012
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Consider the following statements:
Choose the correct option from the given ones:
1. (b) and (c) only
2. (a) and (b) only
3. (a), (b) and (c)
4. (a) and (c) only
| (a) | The universal law of gravitation is an assumption or hypothesis. |
| (b) | The universal law of gravitation can be proved. |
| (c) | The universal law of gravitation can be verified. |
1. (b) and (c) only
2. (a) and (b) only
3. (a), (b) and (c)
4. (a) and (c) only
Subtopic: Newton's Law of Gravitation |
62%
From NCERT
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The gravitational potential energy of a particle of mass \(m\) increases by \(mgh,\) when it is raised through a height \(h\) in a uniform gravitational field "\(g\)". If a particle of mass \(m\) is raised through a height \(h\) in the earth's gravitational field (\(g\): the field on the earth's surface) and the increase in gravitational potential energy is \(U\), then:
| 1. | \(U > mgh\) |
| 2. | \(U < mgh\) |
| 3. | \(U = mgh\) |
| 4. | any of the above may be true depending on the value of \(h,\) considered relative to the radius of the earth. |
Subtopic: Gravitational Potential Energy |
From NCERT
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An artificial satellite revolves around a planet for which gravitational force \((F)\) varies with the distance \(r\) from its centre as \(F \propto r^{2}.\) If \(v_0\) is its orbital speed, then:
| 1. | \(v_{0} \propto r^{-1/2}\) | 2. | \(v_{0} \propto r^{3/2}\) |
| 3. | \(v_{0} \propto r^{-3/2}\) | 4. | \(v_{0} \propto r\) |
Subtopic: Orbital velocity |
65%
From NCERT
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