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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a
2gRgcosθ
b
2gR,cosθ2
c
2Rg
d
gRgcosθ
answer is C.
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Detailed Solution
Acceleration of body along AB is Distance travelled in time tsec=AB=12(gcosθ)t2 From ΔABC,AB=2Rcosθ;2Rcosθ=12gcosθt2⇒ t2=4Rg or t=2Rg