Select Chapter Topics:
Q. No.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: Â Escape velocity |
 59%
From NCERT
NEET - 2021
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
A particle of mass \(m\) is projected with a velocity, \(v=kV_{e} ~(k<1)\) from the surface of the earth. The maximum height, above the surface, reached by the particle is: (Where \(V_e=\) escape velocity, \(R=\) radius of the earth)
| 1. | \(\frac{R^{2}k}{1+k}\) | 2. | \(\frac{Rk^{2}}{1-k^{2}}\) |
| 3. | \(R\left ( \frac{k}{1-k} \right )^{2}\) | 4. | \(R\left ( \frac{k}{1+k} \right )^{2}\) |
Subtopic: Â Escape velocity |
 58%
From NCERT
NEET - 2021
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
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. | \({S \over 2},{ \sqrt{3gS} \over 2}\) | 2. | \({S \over 4}, \sqrt{3gS \over 2}\) |
| 3. | \({S \over 4},{ {3gS} \over 2}\) | 4. | \({S \over 4},{ \sqrt{3gS} \over 3}\) |
Subtopic: Â Gravitational Potential Energy |
 68%
From NCERT
NEET - 2021
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
What is the depth at which the value of acceleration due to gravity becomes \(\frac{1}{{n^{th}}}\) time it's value at the surface of the earth? (radius of the earth = \(\mathrm{R}\))
1. \(R \over n^2\)
2. \(R~(n-1) \over n\)
3. \(Rn \over (n-1)\)
4. \(R \over n\)
1. \(R \over n^2\)
2. \(R~(n-1) \over n\)
3. \(Rn \over (n-1)\)
4. \(R \over n\)
Subtopic: Â Acceleration due to Gravity |
 83%
From NCERT
NEET - 2020
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
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: Â Gravitational Field |
 71%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Assuming the earth to be a sphere of uniform density, its acceleration due to gravity acting on a body:
| 1. | increases with increasing altitude. |
| 2. | increases with increasing depth. |
| 3. | is independent of the mass of the earth. |
| 4. | is independent of the mass of the body. |
Subtopic: Â Acceleration due to Gravity |
 69%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Two planets are in a circular orbit of radius \(R\) and \(4R\) about a star. At a specific time, the two planets and the star are in a straight line. If the period of the closest planet is \(T,\) then the star and planets will again be in a straight line after a minimum time:
| 1. | \((4)^2T\) | 2. | \((4)^{\frac13}T\) |
| 3. | \(2T\) | 4. | \(8T\) |
Subtopic: Â Kepler's Laws |
 63%
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
In a gravitational field, the gravitational potential is given by, \(V=-\frac{K}{x}~\text{J/kg}\). The gravitational field intensity at point \((2,0,3)\) m is:
| 1. | \(+\frac K2\) | 2. | \(-\frac{K}{2}\) |
| 3. | \(-\frac{K}{4}\) | 4. | \(+\frac K4\) |
Subtopic: Â Gravitational Field |
From NCERT
NEET - 2022
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
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. \(-\frac{20~GM}{R}\)
2. \(-\frac{8~GM}{R}\)
3. \(-\frac{12~GM}{R}\)
4. \(-\frac{16~GM}{R}\)
1. \(-\frac{20~GM}{R}\)
2. \(-\frac{8~GM}{R}\)
3. \(-\frac{12~GM}{R}\)
4. \(-\frac{16~GM}{R}\)
Subtopic: Â Gravitational Potential |
 53%
From NCERT
NEET - 2023
Please attempt this question first.
Hints
Please attempt this question first.
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: Â Satellite |
 69%
From NCERT
NEET - 2023
Please attempt this question first.
Hints
Please attempt this question first.
Select Chapter Topics:
© 2024 GoodEd Technologies Pvt. Ltd.