AIPMT PRELIMS2008Physics-Rotational Motion
AIPMT PRELIMS 2008 Physics Moment of Inertia MCQ Question
Type: MCQ-numerical-Hard-Class 11
A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90°. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is -
A
ML²/6
B
√2ML²/24
C
ML²/24
D
ML²/12
Correct Answer
Option D
Detailed Explanation
The moment of inertia for each half is calculated separately and then summed up. The perpendicular distance for each half is L/2√2, leading to the total moment of inertia ML²/12.
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