A solid hemisphere and a hemisphereical shell are joined as shown. Both of them has mass `m//2` individually. Find out moment of inertia about axis `I_(1),I_(2)`.

If I_(1) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass and I_(2) is the moment of inertia (about central axis) of the ring formed by bending the rod, then the ratio of I_(1) to I_(2) is

If l_(1) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass and l_(2) is the moment of inertia (about central axis) of the ring formed by bending the rod, then the ratio of I_(1) to I_(2) is

The moment of inertia of a sphere about its diameter is I. Four such spheres are arranged as shown in figure. Find the moment of inertia of the system about the axis XX'. (radius of each sphere is 2R).

The moment of inertia of a uniform rod about a perpendicular axis passing through one end is I_(1) . The same rod is bent into a ring and its moment of inertia about a diameter is I_(2) . Then I_(1)//I_(2) is

The moment of inertia of a uniform rod about a perpendicular axis passing through one end is I_(1) . The same rod is bent into a ring and its moment of inertia about a diameter is I_(2) . Then I_(1)//I_(2) is

Moment of inertia of a ring about its diameteric axis is I. Two such rings are welded as shown in figure. The new moment of inertia about XX' axis is