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A particle of mass m initially at rest s...

A particle of mass `m` initially at rest starts moving from point `A` on the surface of a fixed smooth hemisphere of radius `r` as shown. The particle looses its contact with hemisphere at point `B.C` is centre of the hemisphere. The equation relating `theta` and `theta'` is
.

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The correct Answer is:
`[R/27[4sqrt(23)+5sqrt(5)]]`
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