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A solid of sphere of mass M and radius R cannot have a moment of inertia equal to

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ICM ​ represents the momentum of inertia of the solid sphere about an axis passing through its center of mass whereas  I represents the  momentum of inertia of the solid sphere about an axis passing through a point which lies at a distance d from its center of mass. Using parallel axis theorem,        

I=ICM ​ +Md2 

This equation suggests that the momentum of inertia about any axis passing through a point other than its center of mass is greater than  ICM ​ . 

⟹ ICM ​ is the least moment of inertia that a body can have.

Hence \(I=\frac{2}{7}MR^2\)  cannot be the moment of inertia of the solid sphere.

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