A frictionless wire AB is fixed on a sphere of radius R. A very small spherical ball slips on this wire. The time taken by this ball to slip from A to B is

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2gRgcos⁡θ

2gR,cos⁡θ2

2Rg

gRgcos⁡θ

answer is C.

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Detailed Solution

Acceleration of body along AB is Distance travelled in time tsec=AB=12(gcos⁡θ)t2 From ΔABC,AB=2Rcos⁡θ;2Rcos⁡θ=12gcos⁡θt2⇒ t2=4Rg or t=2Rg

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