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

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

Statement I is true but statement II is false

Both statements I and statement II are false

answer is A.

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Detailed Solution

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

$K = \frac{\sqrt{{r_{1}}^{2} + {r_{2}}^{2} + . . . . . {r_{n}}^{2}}}{n}$

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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