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At a certain depth $d$ below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height $3 R$ above earth surface. Where $R$ is Radius of earth (Take $R = 6400 km$ ). The depth $d$ is equal to

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Important Questions on Gravitation

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 31 January 2023 Shift 2>Q 115

A body weight

W

, is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 1 February 2023 Shift 1>Q 116

Given below are two statements :

Statement-I: Acceleration due to gravity is different at different places on the surface of earth.

Statement-II: Acceleration due to gravity increases as we go down below the earth's surface.

In the light of the above statements, choose the correct answer from the options given below

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 1 February 2023 Shift 1>Q 117

If earth has a mass nine times and radius twice to the of a planet

P

. Then

\frac{v_{e}}{3} \sqrt{x} m s^{- 1}

will be the minimum velocity required by a rocket to pull out of gravitational force of

P

, where ve is escape velocity on earth. The value of

x

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 1 February 2023 Shift 2>Q 118

The escape velocities of two planets

A a n d B

are in the ratio

1 : 2

. If the ratio of their radii respectively is

1 : 3

, then the ratio of acceleration due to gravity of planet

A

to the acceleration of gravity of planet

B

will be:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 8th January 2020 Shift 2>Q 46

An asteroid is moving directly towards the centre of the earth. When at a distance of

10 R

(

R

is the radius of the earth) from the centre of the earth, it has a speed of

12 km s^{- 1} .

Neglecting the effect of earth's atmosphere, what will be the speed of the asteroid when it hits the surface of the earth (escape velocity from the earth is

11.2 k m s^{- 1})

? Give your answer to the nearest integer in

km s^{- 1}

__________.

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JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 12th January 2019 Shift 2>Q 61

Two satellites,

A

and

B

, have masses

m

and

2 m

respectively.

A

is in a circular orbit of radius

R

and

B

is in a circular orbit of radius

2 R

around the earth. The ratio of their kinetic energies,

\frac{K_{A}}{K_{B}}

is:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 25 June 2022 Shift 2>Q 83

Two satellites

S_{1}

and

S_{2}

are revolving in circular orbits around a planet with radius

R_{1} = 3200 km

and

R_{2} = 800 km

respectively. The ratio of speed of satellite

S_{1}

to the speed of satellite

S_{2}

in their respective orbits would be

\frac{1}{x}

, where

x =

At a certain depth d below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height 3R above earth surface. Where R is Radius of earth (Take R = 6400 km). The depth d is equal to

Important Questions on Gravitation

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At a certain depth $d$ below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height $3 R$ above earth surface. Where $R$ is Radius of earth (Take $R = 6400 km$ ). The depth $d$ is equal to