Show that the total flux passing through a sphere is independent of the radius of sphere.

Two spheres each mass M and radius R are connected with massless rod of length 2R Them moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod will be

A circular disc of radius R and thickness R/6 has moment of inertia I about an axis passing through. Its is melted and recast into a solid sphere. What is the moment of inertia of the solid sphere about its diameter as the axis of rotation?

The volume of a hemisphere is four times that of a sphere. Find the ratio of the radius of the hemisphere to that of the sphere.

Consider a small sphere falling through a medium. The viscous force acting on the sphere depends upon the radius (r) of the sphere, velocity (V) of the sphere and the co-efficient of viscosity (eta) of the medium. Use dimensional analysis and show that the viscous force is directly proportional to etarv . (Given : Dimensions of eta =[M^1L^-1T^-1]) .

A solid sphere, hollow sphere and ring have the same mass and diameter.If they rotate about axes passing through centre of gravity and in the case of ring it is normal to its plane, which will have more moment of inertia ?

When a 10 muC charge is enclosed by a closed surface, the flux passing through the surface is phi . Now another 10 mu charge is placed inside the closed surface, then the flux passing through the surface is ______.

A solid metallic cone of radius 2 cm and height 8 cm is melted into a sphere. Find the radius of sphere.