Home
Class 11
PHYSICS
A particle of mass 1 kg is kept on the s...

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.

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Potential at the surface of sphere,
`V = - (GM)/(R)`
`= - ((6.67 xx 10^(-11))(20))/(1) J//kg`
`= - 1.334 xx 10^(-9) J//kg`
i.e.`1.334 xx 10^(-9) J` work is obtained to bring a mass of `1 kg` from infinity to the surface of sphere. Hence, the same amount of work will have to be done to take the particle away the surface of sphere. Thus,
`W = 1.334 xx 10^(-9) J`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY|Exercise Level 2 Single Correct|22 Videos

  • GRAVITATION

    DC PANDEY|Exercise Level 2 More Than One Correct|10 Videos

  • GRAVITATION

    DC PANDEY|Exercise Level 1 Single Correct|27 Videos

  • GENERAL PHYSICS

    DC PANDEY|Exercise INTEGER_TYPE|2 Videos

  • KINEMATICS

    DC PANDEY|Exercise INTEGER_TYPE|11 Videos

Similar Questions

Explore conceptually related problems

kAS 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 bbe dne against the gravitational force between them to take the particle away from the sphere.

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

Knowledge Check

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

    A
    `13.34xx10^(-10)J`
    B
    `3.33xx10^(-10)J`
    C
    `6.67xx10^(-9)J`
    D
    `6.67xx10^(-10)J`

  • 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
    `3.33xx10^(-10)J`
    B
    `13.34xx10^(-10)J`
    C
    `6.67xx10^(-10)J`
    D
    `6.67xx10^(-9) J`

  • A particle is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done per unit mass against the gravitational force between them, to take the particle far away from the sphere (you may take h=6.67 xx 10^(-11) "Nm"^(2) "kg"^(-2) )

    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`

    • Similar Questions

    Explore conceptually related problems

    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.

    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 particles of masses 1 kg and 2 kg are placed at a separation of 50 cm find out gravitational force between them

    Two spheres, each of mass 625 kg, are placed with their centres 50 cm apart. The gravitational force between them is

    A uiform ring of mass M and radius R is placed directly above a uniform sphere of mass 8M and same radius R. The centre of the sphere. The gravitational atraction between the sphere and the ring is

    Home
    Profile