A body at rest breaks up into 3 parts. If 2 parts having equal masses fly off perpendicularly each after with a velocity of 12m/s, then the velocity of the third part which has 3 times mass of each part is

• A

   $4\sqrt{2}\mathrm{m}/\mathrm{s}$ at an angle of ${45}^{\mathrm{o}}$ from each body

• B

  $24\sqrt{2}\mathrm{m}/\mathrm{s}$  at an angle of ${135}^{\mathrm{o}}$ from each body

• C

  $6\sqrt{2}\mathrm{m}/\mathrm{s}$ at ${135}^{\mathrm{o}}$ from each body

• D

  $4\sqrt{2}\mathrm{m}/\mathrm{s}$  at ${135}^{\mathrm{o}}$ from each body