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

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A body of mass $(2 M)$ splits into four masses ${m, m, M - m, M - m},$ which are rearranged to form a square as shown in the figure. The ratio of $\frac{M}{m}$ for which, the gravitational potential energy of the system becomes maximum is $x : 1 .$ The value of $x$ is ________.

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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 - 27 August 2021 Shift 2>Q 3

A mass of

50 kg

is placed at the center of a uniform spherical shell of mass

100 kg

and radius

50 m

. If the gravitational potential at a point,

25 m

from the center is

V kg m^{- 1}

. The value of

V

is:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 31 August 2021 Shift 1>Q 4

The masses and radii of the earth and moon are

(M_{1}, R_{1})

and

(M_{2}, R_{2})

respectively. Their centres are at a distance

r

apart. Find the minimum escape velocity for a particle of mass

m

to be projected from the middle of these two masses :

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 31 August 2021 Shift 2>Q 5

R_{E}

be the radius of Earth, then the ratio between the acceleration due to gravity at a depth

r

below and a height

r

above the earth surface is:
(Given :

r < R_{E}

)

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 1 September 2021 Shift 2>Q 6

Four particles each of mass $M,$ move along a circle of radius $R$ under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is :

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 1 September 2021 Shift 2>Q 7

Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are

1

hour and

8

hours respectively. The radius of the orbit of nearer satellite is

2 \times 10^{3} km .

The angular speed of the farther satellite as observed from the nearer satellite at the instant when both the satellites are closest is

\frac{π}{x} rad h^{- 1}

, where

x

_______.

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 20 July 2021 Shift 1>Q 8

A person whose mass is $100 kg$ travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravity on the
surface of the Earth and Mars as $10 m s^{- 2}$ and $4 m s^{- 2}$ , respectively. Identify from the below figures, the curve that fits best for the weight of the passenger as a function of time.

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 20 July 2021 Shift 2>Q 9

A satellite is launched into a circular orbit of radius

R

around earth, while a second satellite is launched into a circular orbit of radius

1.02 R .

The percentage difference in the time periods of the two satellites is:

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 6 - Gravitation>JEE Main - 20 July 2021 Shift 2>Q 10

Consider a binary star system of star

A

and star

B

with masses

m_{A}

and

m_{B}

revolving in a circular orbit of radii

r_{A}

and

r_{B},

respectively. If

T_{A}

and

T_{B}

are the time period of star

A

and star

B,

respectively, then:

A body of mass 2M splits into four masses {m,m,M-m,M-m}, which are rearranged to form a square as shown in the figure. The ratio of Mm for which, the gravitational potential energy of the system becomes maximum is x : 1. The value of x is ________.

Important Questions on Gravitation

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A body of mass $(2 M)$ splits into four masses ${m, m, M - m, M - m},$ which are rearranged to form a square as shown in the figure. The ratio of $\frac{M}{m}$ for which, the gravitational potential energy of the system becomes maximum is $x : 1 .$ The value of $x$ is ________.