There is a concentric hole of radius R i...

There is a concentric hole of radius R in a solid sphere of radius 2R. Mass of the remaining portional is M. What is the gravitational potential at centre?

`-(5GM)/(7R)`

`-(7GM)/(14R)`

`-(3GM)/(7R)`

`-(9GM)/(14R)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

GRAVITATION
ALLEN |Exercise Exercise 3 (Miscellaneous Type Questions)|20 Videos
GRAVITATION
ALLEN |Exercise Exercise 4 A (Conceptual Subjective Exercise)|14 Videos
GRAVITATION
ALLEN |Exercise Exercise 1 (Check your Grasp)|28 Videos
GEOMETRICAL OPTICS
ALLEN |Exercise subjective|14 Videos
KINEMATICS-2D
ALLEN |Exercise Exercise (O-2)|47 Videos

Similar Questions

Explore conceptually related problems

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

A thin of length L is bent to form a semicircle. The mass of rod is M. What will be the gravitational potential at the centre of the circle ?

Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?

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 ?

Gravitational potential of a body of mass mon the surface of earth is phi , then what is gravitational potential of body of mass 2m ?

A solid sphere has a radius of 2 cm and a mas of 0.05 kg. What is the relative density of the sphere ? (AS_(1))

From a solid sphere of mass M and radius R, a spherical portion of radius R/2 is removed, as shown in the figure Taking gravitational potential V =0 at r = oo, the potential at (G = gravitational constatn)

A spherical cave of radius R/2 was carved out from a uniform sphere of radius R and original mass M. the center of the cave is at R/2 from the center of the large sphere. Point P is at a distance 2R from the center the large sphere and on the joing line of the two centers. the gravitational field strength g at point P is

From a solid sphere of mass M and radius R/2 aspherical portion of radius ž is romoved as shown in figure. Taking gravitational potential V = 0 and r = oo , the potential at the centre of the cavity thus form is ......... . (G = Gravitational constant)

A cavity of radius R//2 is made inside a solid sphere of radius R . The centre of the cavity is located at a distance R//2 from the centre of the sphere. The gravitational force on a particle of a mass 'm' at a distance R//2 from the centre of the sphere on the line joining both the centres of sphere and cavity is (opposite to the centre of cavity). [Here g=GM//R^(2) , where M is the mass of the solide sphere]

ALLEN -GRAVITATION-Exercise 2 (Brain Teasers)

The potential energy of a body mass m is U=ax+by the magnitude of acce...
Text Solution
|
Two metallic balls of mass m are suspended by two strings of length L....
Text Solution
|
There is a concentric hole of radius R in a solid sphere of radius 2R....
Text Solution
|
If there were a smaller gravitational effect, which of the following f...
Text Solution
|
Select the correct alternative-
Text Solution
|
A particle of mass M is at a distance a from surface of a thin spheric...
Text Solution
|
Three particles are projected vertically upward from a point on the su...
Text Solution
|
When a satellite in a circular orbit around the earth enters the atmos...
Text Solution
|
A satellite is to be geo-stationary, which of the following are essent...
Text Solution
|
A cavity of radius R//2 is made inside a solid sphere of radius R. The...
Text Solution
|
A tunnel is dug along a chord of the earth at a perpendicular distance...
Text Solution
|
A double star is a system of two stars of masses m and 2m, rotating ab...
Text Solution
|
A solid sphere of uniform density and radius 4 units is located with i...
Text Solution
|
The magnitude of the gravitational field at distance r(1) and r(2) fro...
Text Solution
|
Mark the correct statement/s-:
Text Solution
|
Calculate the gravitational potential at the centre of base of a solid...
Text Solution
|
Suppose a smooth tunnel is dug along a straight line joining two point...
Text Solution
|
A small ball of mass 'm' is released at a height 'R' above the earth s...
Text Solution
|
A particle of mass m was transferred from the centre of the base of a ...
Text Solution
|
If d is the distance between the centre of the earth of mass M(1) and ...
Text Solution
|