Two spheres ' $A$ ' and ' $B$ ' of equal mass lie at rest at the opposite ends of a diameter of a smooth…

Two spheres ' $A$ ' and ' $B$ ' of equal mass lie at rest at the opposite ends of a diameter of a smooth horizontal circular groove of radius ' $r$ '. 'A' moves and collides with ' $B$ ' after a time ' $t$ '. If ' $e$ ' is the coefficient of restitution, next collision between the spheres takes place after a time of ____
  1. $\frac{2 \mathrm{t}}{\mathrm{e}}$
  2. $\frac{\mathrm{t}}{\mathrm{e}}$
  3. $\frac{\pi \mathrm{t}}{\mathrm{e}}$
  4. $\frac{2 \pi \mathrm{t}}{\mathrm{e}}$

Solution

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Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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