A metallic solid sphere is rotating about its diameter as axis of rotation . If the temperature is increased by $200^{\circ}C$, the percentage increase in its moment of inertia is : (Coefficient of linear expansion of the metal $=10^{-5/^{\circ}C}$)

Question

$$\begin {array} {1 1} (a)\;0.1 \% & \quad (b)\;0.2 \% \\ (c)\;0.3 \% & \quad (d)\;0.4 \% \end {array}$$