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A ball of mass m enters the loop at A with velocity v as  shown in the above figure. Loop radius is R and acceleration due to gravity is g. What should be the maximum velocity v so that ball does not reach the point B?

(a)$\frac{\sqrt{gR}}{2}$            (b)$\sqrt[2]{gR}$           (c) $\sqrt{2gR}$    (d) None of the above

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