Q.

Moment of inertia of a body is independent of

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a

mass of the body 

b

 distribution of mass of the body 

c

temperature of the body 

d

 angular velocity of the body

answer is D.

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Detailed Solution

Moment of inertia is directly proportional to body mass and is dependent on the shape of the body. The body's moment of inertia is exactly proportional to the square of the distance from the axis of rotation and depends on that distance.

I=mr2 is the formula for the moment of inertia of a body with mass m and a distance from the axis of rotation r.

The moment of inertia a scalar quantity and is independent of the angular velocity of the body.

Hence the correct answer is angular velocity of the body.

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Moment of inertia of a body is independent of