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

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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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Important Questions on Gravitation

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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?

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 13

A satellite revolves in an elliptical orbit around a planet of mass

M

. Its time period is

T

and

M

is at the centre of the path. The length of the major axis of the path is, (neglect the gravitational effect of other objects in space)

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Physics Crash Course NEET>Chapter 6 - Gravitation>Level 2>Q 14

A satellite of mass

m

revolves around the Earth of radius

R

at a height

x

from its surface. If

g

is the acceleration due to gravity on the surface of the Earth, then the orbital speed of the satellite is