Q.

Statement I : Value of radius of gyration of a body depends on axis of rotation.

Statement II : Radius of gyration is root mean square distance of particles of the body from the axis of rotation if particles of the body are of same mass.

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a

Both statements I and statement II are true and statement II is the correct explanation of statement I.

b

Both statements I and statement II are true but statement II is not the correct explanation of statement I.

c

Statement I is true but statement II is false 

d

Both statements I and statement II are false 

answer is A.

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Detailed Solution

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Radius of gyration of a body about a given axis is equal to

K = r12+r22+.....rn2n

It thus depends upon shape and size of the body, position and configuration of the axis of rotation and also on distribution of mass of body w.r.t the axis of rotation.

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