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Q.

A number of holes are drilled along a diameter of a disc of radius R. To get minimum time period of oscillations, the disc should be suspended from a horizontal axis passing through a hole whose distance from the centre should be

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a

R2

b

R2

c

R22

d

zero

answer is B.

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Detailed Solution

Distance of hinge point from center of disc is let say l.T=2πLg     where L=l2+k2l Here k2=R22∴ L=l2+R22l=l+R22lFor minimum time period, L should be minimum. Hence dLdl=0⇒ ddll+R22l=0⇒ 1+R22−1l2=1−R22l2=0⇒l=R2
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