Discussion
The radius of gyration of a rigid body of mass M and moment of inertia I is :
Answer: C
The radius of gyration is \((I/M)^{1/2}\).
The radius of gyration k is defined as the distance at which the whole mass could be placed to give the same moment of inertia: \(I = Mk^{2}\). Solving, \(k = \sqrt{I/M}\).
Only this option has the dimension of length. \((I/M)^{2}\) has dimension length to the fourth power, and the options with M/I are inverse lengths or worse.
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