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 [UPSEAT 2001]

• A.          \[4\sqrt{2}\,m/s\] at an angle of \[{{45}^{o}}\] from each body
• B.          \[24\sqrt{2}\,m/s\] at an angle of \[{{135}^{o}}\]from each body
• C.          \[6\sqrt{2}\,m/s\] at \[{{135}^{o}}\]from each body
• D.          \[4\sqrt{2}\,m/s\] at \[{{135}^{o}}\] from each body