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A smooth sphere of radius \( R \) is made to translate in a straight line with a constant acceleration \( a=g \). A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. The speed of particle with respect to the sphere as a function of angle \( \theta \) as it slides down is :
(A) \( \frac{\sqrt{\operatorname{Rg}(\sin \theta+\cos \theta)}}{2} \)
(B) \( \sqrt{\operatorname{Rg}(1+\cos \theta-\sin \theta)} \)
(C) \( \sqrt{4 R g \sin \theta} \)
(D) \( \sqrt{2 R g(1+\sin \theta-\cos \theta)} \)
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