A) \[\frac{2\sqrt{gR}}{g\cos \theta }\]
B) \[2\sqrt[{}]{gR,}\]\[\frac{\cos \theta }{2}\]
C) \[\sqrt[2]{\frac{R}{g}}\]
D) \[\frac{gR}{\sqrt{g\cos \theta }}\]
Correct Answer: C
Solution :
[c] Acceleration of body along AB is Distance travelled in time t sec=AB=\[\frac{1}{2}\]\[(gcos\theta ){{t}^{2}}\] From \[\Delta ABC\], AB =\[2R\cos \theta ;2R\cos \theta =\frac{1}{2}g\cos \theta {{t}^{2}}\] \[\Rightarrow {{t}^{2}}=\frac{4R}{8}\]or \[t=2\sqrt{\frac{R}{g}}\]
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