Physics System of Particles Rotational Motion All Topic Question for Revision Test MCQ (Single Correct)

A rod is placed along the line with its centre at origin. The moment of inertia of the rod is maximum about

A
-axis
B
-axis
C
-axis
D
Data insufficient

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Text Solution

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The correct answer is:
C

The given situation of rod is shown below.

Suppose a mass particle situated at point .
Hence, distance of mass particle from -axis ,

distance of mass particle from -axis and distance of mass particle from -axis,
Clearly,

Since, moment of inertia, (distance) .
Hence, moment of inertia of the rod is maximum about -axis.

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