Ball $1$ collides with another identical ball at rest. For what value of coefficient of restitution $e,$ the velocity of the second ball becomes two times that of the first ball after the collision?

  • A
    $\frac{1}{3}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{1}{4}$
  • D
    $\frac{1}{6}$

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