Four particles $A, B, C$ and $D$ of equal mass are placed at four corners of a square.  They move with equal uniform speed $v$ towards the intersection of  the diagonals. After  collision, $A$ comes to rest, $B$ traces its path back with same speed and $C$ and $D$ move with equal speeds. What is the velocity of $C$ after collision

  • A

    $\frac{2v}{3}$

  • B

    $2\,v$

  • C

    $\frac{v}{2}$

  • D

    $v$

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