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

(1) 2gRgcosθ

(2) 2gR.cosθg

(3) 2Rg 

(4) gRgcosθ

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#26-Equations-for-Uniform-Acceleration
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Concept Questions :-

Uniformly accelerated motion

(3) Acceleration of body along AB is gcosθ

Distance travelled in time t sec = AB=12(gcosθ)t2

From ΔABC,AB=2Rcosθ;2Rcosθ=12gcosθt2

t2=4Rg or t=2Rg  

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