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The temperature of a thin uniform circular disc, of one meter diameter is increased by $10^{\circ}C$. The percentage increase in moment of inertia of the disc about an axis passing through its center and perpendicular to the circular face: (linear coefficient of expansion $=11 \times 10^{-6}/^{\circ}C)$

$\begin {array} {1 1} (a)\;0.0055 & \quad (b)\;0.011 \\ (c)\;0.022 & \quad (d)\;0.044 \end {array}$

(c) 0.022