From a solid sphere of mass M and radius R, a spherical portion of radiu `(R )/(2)` is removed as shown in the figure. Taking gravitational potential V = 0 at `r = oo`, the potential at the centre of the cavity thus formed is (G = gravitational constant)

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 =0at r = oo, the potential at (G = gravitational constatn)

From a solid sphere of mass M and radius R , a solid sphere of radius R//2 is removed as shown. Find gravitational force on mass m as shown

Inside a uniform sphere of mass M and radius R, a cavity of radius R//3 , is made in the sphere as shown :

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

A particle of mass m is placed at a distance of 4R from the centre of a huge uniform sphere of mass M and radius R . A spherical cavity of diameter R is made in the sphere as shown in the figure. If the gravitational interaction potential energy of the system of mass m and the remaining sphere after making the cavity is (lambdaGMm)/(28R) . Find the value of lambda

The correct variation of gravitational potential V with radius r measured from the centre of earth of radius R is given by

A hemi-spherical cavity is created in solid sphere (of radius 2R ) as shown in the figure. Then

A shell of mass M and radius R has point mass m placed at a distance r from its centre. The gravitational potential energy U(r) vs r will be

A spherical hole of radius R//2 is excavated from the asteroid of mass M as shown in the figure the gravitational acceleration at a point on the surface of the asteroid just above the excavation is