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The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of L/ 3 from one its ends and perpendicular to the rod is

a
7ML248
b
ML212
c
ML29
d
ML23

detailed solution

Correct option is C

See fig The distance OC =L2−L3=L6Applying the theorem of parallel axisIC=IO+M(OC)2=ML212+ML62=ML29

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