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 uniform solid of valume mass density rho and radius R is shown in figure. (a) Find the gravitational field at a point P inside the sphere at a distance r from the centre of the sphere. Represent the gravitational field vector vec(l) in terms of radius vector vec(r ) of point P. (b) Now a spherical cavity is made inside the solid sphere in such a way that the point P comes inside the cavity. The centre is at a distance a from the centre of solid sphere and point P is a distance of b from the centre of the cavity. Find the gravitational field vec(E ) at point P in vector formulationand interpret the result.

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure.Find the value of |E_A /E_B|

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

A solid sphere of radius R has a spherical cavity of radius r as shown in the figure. If the volume charge density sigma is uniformly distributed over the whole volume of the sphere, then electric field strength at the centre of the sphere will be

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

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 conducting sphere of radius R_(2) has a spherical cavity of radius R_(1) which is non concentric with the sphere. A point charge q_(1) is placed at a distance r from the centre of the cavity. For this arrangement, answer the following questions. Electric field (magnitude only) at the center of the cavity will be :

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

A conducting sphere of radius R_(2) has a spherical cavity of radius R_(1) which is non concentric with the sphere. A point charge q_(1) is placed at a distance r from the centre of the cavity. For this arrangement, answer the following questions. If q_(1) is shifted to the centre of the cavity, then: (choose the correct alternative)

A conducting sphere of radius R_(2) has a spherical cavity of radius R_(1) which is non concentric with the sphere. A point charge q_(1) is placed at a distance r from the centre of the cavity. For this arrangement, answer the following questions. Electric potential at the centre of the cavity will be :