Home
Class 12
PHYSICS
A hypothetical planet in the shape of a ...

A hypothetical planet in the shape of a sphere is completely made of an incompressible fluid and has a mass M and radius R. If the pressure at the surface of the planet is zero, then the pressure at the centre of the planet is [G = universal constant of gravitation]

A

`P=(3GM^(2))/(8piR^(4))`

B

`P=(3GM^(2))/(4piR^(4))`

C

`P=(3GM^(2))/(4piR^(4))`

D

`P=(3GM^(2))/(4pi^(2)R^(4))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If potential at the surface of a planet is taken as zero, the potential at infinty will be ( M and R are mass of radius of the planet)

A planet has mass equal to mass of the earth but radius one fourth of radius of the earth . Then escape velocity at the surface of this planet will be

A body of mass m at inifnity is approaching the centre of a hypothetical hollow planet of mass M and radius R . The speed of the body when it passes the centre of the planet through a diametrical tunnel is

If the density of a planet is constant, then the curve between value of g on its surface and its radius r will be-

A hypothetical planet of mass m is moving along an elliptical path around sun of mass M_s under the influence of its gravitational pull. If the major axis is 2R, find the speed of the planet when it is at a distance of R from the sun.

Two particles of masses 'm' and '9m' are separated by a distance 'r'. At a point on the line joining them the gravitational field is zero. The gravitational potential at that point is (G = Universal constant of gravitation)

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

Two spheres each of mass M and radius R are separated by a distance of r . The gravitational potential at the midpoint of the line joining the centres of the spheres is

A body of mass 500 g is thrown upwards with a velocity 20 ms^-1 and reaches back to the surface of a planet after 20 sec . Then the weight of the body on that planet is (Assume g to be constant) xN. Find x.

A spherical planet far out in space has mass 2M and radius a. A particle of mass m is falling freely near its surface. What will be the acceleration of that particle ?