A cavity is made in a fixed sphere of radius R & mass M such that the centre of the cavity is at a distance R/2 from the centre of the sphere.A small particle of Mass "M_(1)" is released at "],[" point "A" .Time taken by particle to reach "],[" point "B" such that "AB" is the diameter is sqrt((aR^(3))/(Gm)). Find "a],[qquad o*(1)/(B(R/2C))^(A)]

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

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

A hemispherical cavity of radius R is created in a solid sphere of radius 2R as shown in the figure . Then y -coordinate of the centre of mass of the remaining sphere is

A spherical cavity of radius r is made in a conducting sphere of radius 2 r.A charge q is kept at the centre of cavity as shown in the figure.Find the magnitude of the total electric field at (4r 0) .

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]

A fixed spherical shell of inner radius R and outer radius 2R has mass M, A particle of mass m is held at rest at a distance 2R from the surface of the body. If the particle is released from that point, with what speed will it hit surface of the spherical body ?

A spherical cavity is made in a lead sphere of radius R such that its surface touches the outsides surface of lead sphere and passes through the centre. The shift in the centre of mass of the lead sphere as a result of this following, is

A uniform solid sphere of radius R has a cavity of radius 1m cut from it if centre of mass of the system lies at the periphery of the cavity then