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. $$-\frac{16~GM}{R}$$
Subtopic:  Gravitational Potential |
52%
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. $$T^3$$
Subtopic:  Satellite |
68%
From NCERT
NEET - 2023
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The escape velocity of a body on the earth's surface is $$11.2$$ km/s. If the same body is projected upward with a velocity $$22.4$$ km/s, the velocity of this body at infinite distance from the center of the earth will be:
1. $$11.2\sqrt2$$ km/s
2. zero
3. $$11.2$$ km/s
4. $$11.2\sqrt3$$ 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 $$\frac{\pi RG}{12g}$$ 2 $$\frac{3\pi R}{4gG}$$ 3 $$\frac{3g}{4\pi RG}$$ 4 $$\frac{4\pi G}{3gR}$$
Subtopic:  Acceleration due to Gravity |
76%
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 |
70%
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh
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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:  Acceleration due to Gravity |
69%
From NCERT
NEET - 2022
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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:  Kepler's Laws |
63%
From NCERT
NEET - 2022
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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:  Gravitational Field |
From NCERT
NEET - 2022
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NEET 2023 - Target Batch - Aryan Raj Singh
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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 $${S \over 2},{ \sqrt{3gS} \over 2}$$ 2 $${S \over 4}, \sqrt{3gS \over 2}$$ 3 $${S \over 4},{ {3gS} \over 2}$$ 4 $${S \over 4},{ \sqrt{3gS} \over 3}$$
Subtopic:  Gravitational Potential Energy |
69%
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 |
59%
From NCERT
NEET - 2021
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