The moment of inertia of a solid sphere of mass M and radius R about the tangent is

Options

A. `(2)/(5)MR^(2)`
B. `(7)/(5)MR^(2)`
C. `(2)/(3)MR^(2)`
D. `(-5)/(3)MR^(2)`

Answer

(b)

Explanation

Moment of inertia of a solid sphere about its centre,
`I_(XX)=(2)/(5)MR^(2)`
Moment of inertia about tangent PQ, `=I_(XX)+MR^(2)`
`=(2)/(5)MR^(2)+MR^(2)`
`=(7)/(5)MR^(2)`.