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

Statement I is true but Statement II is false

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is false but Statement II is true

EASY

JEE Main

IMPORTANT

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The percentage decrease in the weight of a rocket, when taken to a height of $32 km$ above the surface of earth will, be
(Radius of earth $= 6400 km$ )

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Important Questions on Gravitation

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 26 July 2022 Shift 2>Q 96

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be
(Take radius of earth

= 6400 km

and

g = 10 {ms}^{- 2}

)

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 27 July 2022 Shift 1>Q 97

Two satellites

A

and

B

having masses in the ratio

4 : 3

are revolving in circular orbits of radii

3 r

and

4 r

respectively around the earth. The ratio of total mechanical energy of

A

B

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 27 July 2022 Shift 2>Q 98

A body of mass

m

is projected with velocity

λ v_{e}

in vertically upward direction from the surface of the earth into space. It is given that

v_{e}

is escape velocity and

λ < 1

. If air resistance is considered to the negligible, then the maximum height from the centre of earth, to which the body can go, will be (

R

: radius of earth)

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 28 July 2022 Shift 1>Q 99

If the radius of earth shrinks by

2 %

while its mass remains same. The acceleration due to gravity on the earth's surface will approximately

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 29 July 2022 Shift 1>Q 100

If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth is same as that of the acceleration due to gravity at a depth $α h (h ≪ R_{e})$ ) from the earth surface. The value of $α$ will be _____ .

(use $R_{e} = 6400 km$ )

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 29 July 2022 Shift 2>Q 101

An object of mass

1 kg

is taken to a height from the surface of earth which is equal to three times the radius of earth. The gain in potential energy of the object will be
[If,

g = 10 m s^{- 2}

and radius of earth

= 6400 km

]

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 24 January 2023 Shift 1>Q 102

The weight of a body at the surface of earth is

18 N

. The weight of the body at an altitude of

3200 km

above the earth's surface is (given, radius of earth

R_{e} = 6400 km

)

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 24 January 2023 Shift 2>Q 103

If the distance of the earth from Sun is

1.5 \times 10^{6} km

, then the distance of an imaginary planet from Sun, if its period of revolution is

2.83

years is:

The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of earth will, be (Radius of earth =6400 km)

Important Questions on Gravitation

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The percentage decrease in the weight of a rocket, when taken to a height of $32 km$ above the surface of earth will, be
(Radius of earth $= 6400 km$ )