Home
Class 12
PHYSICS
A thin spherical shell of total mass M a...

A thin spherical shell of total mass M and radius R is held fixed. There is a small hole in the shell. A mass m is released from rest a distance R from the hole along a line that passes through the hole and also through the centre of the shell. This mass subsequently moves under the gravitational force of the shell. How long does the mass take to travel from the hole to the point diametrically opposite.

Text Solution

Verified by Experts

The correct Answer is:
`2 sqrt(R^(3)/(GM))`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P a distance R/2 from the centre of the shell is

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(lt lt R) above the shell. There is a hole in the shell. Q in what time will it enter the hole at A

A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range 0lerltoo , where r is the distance from the centre of the shell?

A hollow spherical shell is compressed to half its radius. The gravitational potential at the centre

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is released from rest from a height h(lt lt R) above the shell. There is a hole inn the shell. QWhat time will it take to move from A to B?

A solid sphere of mass M and radius R is surrounded by a spherical shell of same mass M and radius 2R as shown. A small particle of mass m is relased from rest from a height h (lt lt R) above the shell. There is a hole in the shell. Q. With what approximate speed will it collide at B?

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 semicircular lamina of mass m and radius r and centre C . Its center of mass is at a distance x from C . Its moment of inertia about an axis through its center of mass and perpendicular to its plane is:

A tangential force F acts at the top of a thin spherical shell of mass m and radius R . Find the acceleration of the shell if it rolls without slipping.

A particle of mass M is situated at the center 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.......