A transparent sphere of radius R ahs a cavity of radius `R//2` as shown in figure,. Find the refractive index of the sphere if a parallel beam of light falling on left sureface focuses at point P.

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 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.

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

A clear transparent glass sphere (mu=1.5) of radius R is immersed in a liquid of refractive index 1.25. A parallel beam of light incident on it will converge to a point. The distance of this point from the center will be

A clear transparent glass sphere (mu=1.5) of radius R is immersed in a liquid of refractive index 1.25. A parallel beam of light incident on it will converge to a point. The distance of this point from the center will be

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 ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is

A ray of light falls on a transparent sphere with centre at C as shown in figure. The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is