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A smooth sphere of radius R is made to translate in a straight line with constant acceleration g. A particle kept on top of the sphere is released from there with zero velocity w.r.t. sphere. The speed of particle w.r.t sphere as a function of θ is(A) \(\sqrt{Rg\Big(\frac{sinθ+cosθ}{2}\Big)}\)(B) \(\sqrt{Rg(1+cosθ-sinθ)}\) (C) \(\sqrt{4R\, gsinθ}\)(D)  \(\sqrt{2Rg(1+sinθ-cosθ)}\)

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Answer is  (D)  \(\sqrt{2Rg(1+sinθ-cosθ)}\)



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