Home
Class 11
PHYSICS
A particle of mass M is placed at the ce...

A particle of mass M is placed at the centre of a spherical shell of same mass and radius a. What will be the magnitude of the gravitational potential at a point situated at a/2 distance from the centre ?

A

`-(3GM)/( a) `

B

`-(2 GM)/ (a )`

C

`-(GM)/(a )`

D

`-(4GM )/( a)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Here mass of the particle=M
Mass of the spherical shell=M
Radius of the spherical shell = a
Let O be centre of spherical shell. Gravitational potential at point P due to particle at O is
`V_(1)= - (GM)/((a//2))`
Gravitational potential at point P due to spherical shell is `V_(2)= - (GM)/(a )`
Hence, total gravitational potential at the point P is `V=V_(1)+V_(2)`
`=-(GM)/((a//2))+(-(GM)/(a))=-(2GM)/(a)-(GM)/(a)=-(3GM)/a`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    NCERT FINGERTIPS|Exercise Escape Speed|7 Videos

  • GRAVITATION

    NCERT FINGERTIPS|Exercise Earth Satellite|4 Videos

  • GRAVITATION

    NCERT FINGERTIPS|Exercise Acceleration Due To Gravity Below And Above The Surface Of Earth|8 Videos

  • KINETIC THEORY

    NCERT FINGERTIPS|Exercise Assertion And Reason|10 Videos

Similar Questions

Explore conceptually related problems

A particle of mass M is situated at the centre of a spherical shell of same mass and radius 'a'. The gravitational potential at a point situated at (a)/(2) distance from the centre, will be

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 particel of mass M is placed at the centre of a inform spherical shell of mass 2M and radius R. The gravitational potential on the surface of the shell is

A particle of mass m is placed at the centre of a unifrom spherical shell of mass 3 m and radius R The gravitational potential on the surface of the shell is .

P is a point at a distance r from the centre of a spherical shell of mass M and radius a, where r lt a . The gravitational potential at P is

A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and radius 50 m. If the gravitational potential at a point, 25 m from the centre is V kg/m. The value of V is:

A block of mass m is lying at a distance r from a spherical shell of mass m and radius r, then :

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a .

A body of mass m is placed at the centre of the spherical shell of radius R and mass M. The gravitation potential on the surface of the shell is

A particle of mass m is located inside a spherical shell of mass M and radius R. The gravitational force of attraction between them is