Consider a semicircular ring with mass m and radius R as shown in figure.

Statement-1: The moment of inertia of semi - circular ring about an axis passing through A and perpendicular to plane is `2mR^(2)`
Statement-2: According to parallel axis theorem: `I_(A)=1_(cm)+mR^(2)`

Options

A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
B. Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
C. Statement-1 is true, statement-2 is false.
D. Statement -1 is false, statement -2 is true.

Answer

C

Explanation

`I=(2mR^(2)+2mR^(2))/2` (due to symmetry)