# 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. $$-\dfrac{16~Gm}{R}$$

Subtopic: Â Gravitational Potential |
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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: Â Satellite |
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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: Â Escape velocity |
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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: Â Acceleration due to Gravity |
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NEET - 2023
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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: Â Gravitational Field |
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: Â Kepler's Laws |
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NEET - 2022
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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: Â Acceleration due to Gravity |
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NEET - 2022
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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: Â Gravitational Field |
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NEET - 2022
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The mass of a planet is $$\left ( \dfrac{1}{10} \right )^{\text{th}}$$ that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that 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: Â Acceleration due to Gravity |
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From NCERT
NEET - 2024
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The minimum energy required to launch a satellite of mass $$m$$ from the surface of earth of mass $$M$$ and radius $$R$$ in a circular orbit at an altitude of $$2R$$ from the surface of the earth is:
 1 $$\dfrac{2 G m M}{3 R}$$ 2 $$\dfrac{G m M}{2 R}$$ 3 $$\dfrac{G m M}{3 R}$$ 4 $$\dfrac{5 G m M}{6 R}$$
Subtopic: Â Satellite |
From NCERT
NEET - 2024
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