A $1 \;kg$ stationary bomb is exploded in three parts having mass $1: 1: 3$ respectively. Parts having same mass move in perpendicular direction with velocity $30\; ms ^{-1}$, then the velocity of bigger part will be

  • [AIPMT 2001]
  • A

    $\frac{10}{\sqrt{2}}\;m/s$

  • B

    $\frac{15}{\sqrt{2}}\;m/s$

  • C

    $15 \sqrt{2}\;m/s$

  • D

    $10 \sqrt{2} \;m/s$

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