Home
Class 11
PHYSICS
A particle of mass 10 g is kept on the s...

A particle of mass `10 g` is kept on the surface of a uniform sphere of mass `100 kg` and radius `10 cm`. Find the work done against the gravitational force between them to take the particle far away from the sphere.

A

`13.34 xx 10^(-10) J`

B

`3.33 xx 10^(-10) J`

C

`6.67 xx 10^(-9)J`

D

`6.67 xx 10^(-8) J`

Text Solution

Verified by Experts

The correct Answer is:
D
Gravitational potential `V_(i)=-(GM)/(r)`
`V_(i)=-(6.67xx10^(-11)xx100)/(0.1)`
`V_(i)=-(6.67xx10^(-9))/(0.1)=-6.67xx10^(-8)J`
`because V_(f)=0`
`:.` Work done per unit mass,
`W=Delta V=(V_(f)-V_(i))=6.67xx10^(-8)J`.
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Check Point 10.4|10 Videos

  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Check Point 10.5|20 Videos

  • GRAVITATION

    DC PANDEY ENGLISH|Exercise Check Point 10.2|20 Videos

  • GENERAL PHYSICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|2 Videos

  • KINEMATICS

    DC PANDEY ENGLISH|Exercise INTEGER_TYPE|10 Videos

Similar Questions

Explore conceptually related problems

A particle of mass 100 g is kept on the surface of a uniform sphere of mass 10 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle away from the sphere.

A particle of mass 10g is kept on the surface of a uniform sphere of masss 100kg and radius 10cm. Find the work to be done against the gravitational force between them to take the particel far away from the sphere (you may take G = 6.67xx10^(-11) Nm^2 /kg^2)

A particle of mass 1 kg is kept on the surface of a uniform sphere of mass 20 kg and radius 1.0 m . Find the work to be done against the gravitational force between them to take the particle away from the sphere.

A particle of mass m is kept on the axis of a fixed circular ring of mass M and radius R at a distance x from the centre of the ring. Find the maximum gravitational force between the ring and the particle.

Two spherical balls of mass 10 kg each are placed 10 cm apart. Find the gravitational force of attraction between them.

A particle of mass m was transferred from the centre of the base of a uniform hemisphere of mass M and radius R into infinity. What work was performed in the process by the gravitational force exerted on the particle by the hemisphere?

Two spherical balls of mass 10 kg each are placed 100 m apart. Find the gravitational force of attraction between them.

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the center.

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the centre.

A particle of mass M is placed at the centre of a uniform spherical shell of equal mass and radius a. Find the gravitational potential at a point P at a distance a/2 from the centre.