For a cube of side a and mass M,the moment of | vedclass

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(C) The moment of inertia $(I)$ of a cube of side $a$ and mass $M$ about an axis passing through its center of mass and perpendicular to any face is g

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An axis passing through the center of mass and perpendicular to any face

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(C) The moment of inertia $(I)$ of a cube of side $a$ and mass $M$ about an axis passing through its center of mass and perpendicular to any face is given by $I = \frac{1}{6}Ma^2$.For an axis passing through the center of mass and parallel to an edge,the moment of inertia is $I = \frac{1}{6}Ma^2 + \frac{1}{6}Ma^2 = \frac{1}{3}Ma^2$.For an axis passing through the diagonal of the cube,the moment of inertia is $I = \frac{1}{3}Ma^2$.Comparing these values,the axis passing through the center of mass and perpendicular to any face provides the minimum moment of inertia,which is $\frac{1}{6}Ma^2$.

Column $I$	Column $II$
$(A)$ 'k' for a solid sphere rotating about its tangent	$(P)$ $\sqrt{2}R$
$(B)$ 'k' for a ring rotating about its tangent perpendicular to its plane	$(Q)$ $\frac{R}{2}$
$(C)$ 'k' for a uniform solid right circular cone rotating about its central axis	$(R)$ $\frac{\sqrt{7}}{\sqrt{5}}R$
$(D)$ 'k' for a uniform disc rotating about its diameter	$(S)$ $\frac{\sqrt{3}}{\sqrt{10}}R$

For a cube of side $a$ and mass $M$,the moment of inertia is minimum about which axis?

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