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Question

A disc is hanging from pin as shown in figure and displaced slightly. Then its time period
1111079_c666daa299424ae299652f75b631dc72.PNG

A
T=2π2Rg
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B
T=2π3R2g
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C
T=2πR2g
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D
T=2πRg
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Solution

The correct option is B T=2π3R2g
REF. Image
I about an axis passing through
the centre ten do the plane = MR22
But the line from when oscillation occure is at
a distance R parallel to axis passing through centre
M.I about AB=MR22+MR2
IAB=ICP+MR2
IAB=3MR22
T=2πIMgR=2π3MR2/2MgR=2π3R2g

1214771_1111079_ans_e9453ed5a42647c4a957ba299a4428c2.JPG

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