Correct option: (A) [(7ML2) / 48]
Explanation:
using parallel axis theorem
I = ICM + Mx2 (1)
where x is distance of axis of rotation from the centre of mass of rod.
x = (L/2) – (L/4) = (L/4)
also ICM = (ML2 / 12)
from (1)
I = (ML2 / 12) + M(L / 4)2
= (ML2 / 12) + (ML / 16)2
= [(7ML2) / 48]