Q .     An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass `1` kg moves with a speed of `12\:ms^{-1}` and the second part of mass `2` kg moves with `8\:ms^{-1}` speed. If the third part flies off with `4\:ms^{-1}` speed, then its mass is

AIPMT 2013
A

`3 kg`

B

`5 kg`

C

`7 kg`

D

`17 kg`

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