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For a thin rod of mass M and length L, I about axis through center perpendicular to rod:

AML²/3
BML²
CML²/12
DML²/24
Answer & Solution
Correct answer: C. ML²/12
For thin rod about perpendicular axis through center: I = ML²/12. (About one end: I = ML²/3, using parallel-axis: ML²/12 + M(L/2)² = ML²/12 + ML²/4 = ML²/3.)
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