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Two uniform, thin identical rods each of mass M and length L are joined at middle so as to form a cross as shown. The moment of inertia of the cross about a bisector line EF (in the plane of cross) is

a
ML26
b
ML24
c
ML212
d
ML23

detailed solution

Correct option is C

We have to find I1?  I1 = I2----------(1)  I0 = ML212+ML212 = ML26now I1 +I2 = I0--------(2)From (1) and (2), I1 = I02 = ML212

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