Assertion (A) The Moment of inertia of a steel sphere is larger than the Moment of inertia of a wooden sphere of same radius. Reasons (R) Moment of inertia is independent of mass of the body. The correct one is

Options

A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. Both (A) and (R) are true, and (R) is not the correct explanation of (A)
C. (A) is true but (R) is wrong
D. (A) is wrong but (R) is true

Answer

C

Explanation

(a) Spheres can be set to, roll down the plane quickly than wooden, thus steel has large r moment of inertia.
(b) `I = MR^(2)` Thus, Moment of inertia depends on mass of the body.