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Question: A disc of mass M and radius R is reshaped in the form of ring of same mass but radius 2 R. The radiu...

A disc of mass M and radius R is reshaped in the form of ring of same mass but radius 2 R. The radius of gyration goes up by a factor –

A

2\sqrt{2}

B

4

C

222\sqrt{2}

D

2

Answer

222\sqrt{2}

Explanation

Solution

Kdisc = R2\frac{R}{\sqrt{2}} and Kring = 2R

\ KringKdisc\frac{K_{ring}}{K_{disc}} = 2RR2\frac{2R}{\frac{R}{\sqrt{2}}}= 22\sqrt{2}