STANDARDPhysics-Rotational Dynamics
STANDARD Physics Moment of Inertia MCQ Question
Type: MCQ-conceptual-Medium
The moment of inertia of a rod about its perpendicular bisector is I. When the temperature of the rod is increased by ΔT, the increase in the moment of inertia of the rod about the same axis is (Here, α is the coefficient of linear expansion of the rod)
A
IαT
B
2αIΔT
C
αIΔT/2
D
2IΔT/α
Correct Answer
Option B
Detailed Explanation
The increase in moment of inertia is due to the increase in length, which is proportional to αΔT. The change in I is proportional to the change in L², leading to an increase of 2αIΔT.
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