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

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

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

Consider a uniform charged sphere of charge density r and radius R.If the cavity of radius R/2is made inside the sphere and the removed part is again placed near the charge distribution as shown in the figure. If the electric field at the centre of the cavity is (rho R)/(n varepsilon_(0) find n .

7.Consider a uniform charged sphere of charge density p and radius R.If the cavity of radius R/2is made inside the sphere and the removed part is again placed near the charge distribution as shown in the figure.If the electric field at the centre of the cavity is (rho R)/(n varepsilon_(0)) find n .

The figure represents a solid uniform sphere of mass M and radius R . A spherical cavity of radius r is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

The figure represents a solid uniform sphere of mass M and radius R . A spherical cavity of radius r is at a distance a from the centre of the sphere. The gravitational field inside the cavity is

From a uniform sphere of mass M and radius R a cavity of diameter R is created as shown. Find the ratio of moment of inertia of the sphere left about "AA"' and BB' .

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distance R/4 from the centre of sphere. The gravitational force on mass m is

A solid sphere of mass M and radius R has a spherical cavity of radius R/2 such that the centre of cavity is at a distance R/2 from the centre of the sphere. A point mass m is placed inside the cavity at a distanace R/4 from the centre of sphere. The gravitational force on mass m is