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A uniform square plate of side 'a' is hinged at one of its corners. It is suspended such that it can rotate about horizontal axis. The time period of small oscillation about its equilibrium position.

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a
2π2a3g
b
2π2a3g
c
2π22a3g
d
2π22ag

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detailed solution

Correct option is C

T=2πImgd=2πma2+a212+ma22mg⋅a2=2πa6+a2⋅2g=2π22a3g


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