In rectangle Axes and pass through the centre of the rectangle. The moment of inertia is least about

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answer is C.

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Detailed Solution

Concept: In this question we need to find out the axis through which moment of inertia is least.
Moment of inertia of a body about any axis is defined to be the product of masses and the distance of masses from its axis. Moment of inertia physically means the resistance that the body faces while rotating.
Considering the figure:
Question Image

And evaluating the options,
First of all, among DB and BC, BC will be rejected because it is not passing through the center of mass and it will not have the minimum moment of inertia.
Now by comparing DB,

and

we see that DB does not have mass uniformly distributed along the axis, so it will not have the minimum moment of inertia. Hence, this is also rejected.
From

and

will have the least moment of inertia because the mass is closely located from the axis of

so the answer is

option (3)
Hence, option 3 is correct.

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