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

Step-by-step solution

The moment of inertia of a solid sphere about the axis along its diameter is array rlrl I & = 2 5 m R^2 I R^2 & I I 100 =2 [ R R ] 100 But & = R R t R R = t & I I 100 =2( )( t) 100 & =2 (10⁻⁵ )(200)(100)=0.4 % . array