A body of mass $\left(4m\right)$ is lying in $x$ - $y$ plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass $\left(m\right)$ move perpendicular to each other with equal speeds $\left(\upsilon \right).$ The total kinetic energy generated due to explosion is:

• A

  $m{\upsilon }^2$
• Correct answer
  B

  $\frac{3}{2}m{\upsilon }^2$
• C

  $2 m{\upsilon }^2$
• D

  $4 m{\upsilon }^2$

Hence, the correct answer is option: 'B'.