Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 4

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Which of the following most closely depicts the correct variation of the gravitation potential, $V (r)$ with distance $r$ due to a large planet of radius $R$ and uniform mass density? (figures are not drawn to scale)

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Important Questions on Gravitation

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 5

A body of mass

m

is moving in a circular orbit of radius

R

about a planet of mass

M

. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius

\frac{R}{2}

. And the other mass, in a circular orbit of radius

\frac{3 R}{2} .

The difference between the final and the initial total energies is

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 6

The mass density of a planet of radius

R

varies with the distance

r

from its centre as

ρ (r) = ρ_{0} (1 - \frac{r^{2}}{R^{2}})

, then the gravitational field is maximum at:

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 7

A satellite is moving with a constant speed

v

in circular orbit around the earth. An object of mass 'm' is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of ejection, the kinetic energy of the object is:

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 8

A body is projected vertically upwards from earth's surface with velocity

2 v_{e},

where

v_{e}

is escape velocity from earth's surface. The velocity when body escapes the gravitational pull is

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 9

If a projectile has a velocity greater than the escape velocity, which trajectory will it follow?

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 10

A satellite is launched into a circular orbit of radius

R

around the earth. A second satellite is launched into an orbit of radius

1.02 R

. The period of second satellite is larger than the first one by approximately,

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 11

A body is dropped by a satellite in its geostationary orbit:

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 12

A rocket is fired with a speed

u = 3 \sqrt{g R}

from the earth surface. What will be its speed at interstellar space?