Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 19

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Let $E$ be the energy required to raise a satellite to height $h$ above the earth's surface and $E'$ be the energy required to put the same satellite into orbit at that height. Then, $\frac{E}{E'}$ is equal to

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Important Questions on Gravitation

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JEE Main

IMPORTANT

Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 20

A satellite moves around the earth in a circular orbit of radius

r

with speed

v

. If the mass of the satellite is

m

, its total energy is

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Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 21

A double star system consists of two stars

A

and

B

that have time periods

T_{A}

and

T_{B}

, radii

r_{A}

and

r_{B}

and masses

m_{A}

and

m_{B}

, respectively. Choose the correct option.

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Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 22

Gravitational acceleration on the surface of a planet is

\frac{\sqrt{6}}{11} g,

where

g

is the gravitational acceleration on the surface of the earth. The average mass density of the planet is

\frac{2}{3}

times that of the earth. If the escape speed on the surface of the earth is taken to be

11 k m s^{- 1},

find the escape speed on the surface of the planet in

k m s^{- 1} .

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Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 23

If a missile is launched with a velocity less than the escape velocity, the sign of its total energy is

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Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 24

The escape speed of a body on the earth's surface is

11.2 k m s^{- 1}

. A body is projected with thrice of this speed. The speed of the body when it escapes the gravitational pull of earth is

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Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 25

The ratio of radii of two planets is

p

and the ratio of accelerations due to gravity at their surfaces is

q

. The ratio of escape velocities from their surfaces will be

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Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 26

A planet of mass

m

is moving in an elliptical orbit about the sun of mass

M

. The maximum and minimum distances of the planet from the sun are

r_{1}

and

r_{2}

, respectively. The period of revolution of the planet will be proportional to

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Physics Crash Course JEE Main>Chapter 6 - Gravitation>Level 2>Q 27

Which of the following graphs represent the time period of the planet moving around the sun? [

R

is semi-major axis of the path.]