An object of mass \( 3 m \) splits into three equal fragments. Two fragments have velocities \( ...

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An object of mass \( 3 m \) splits into three equal fragments. Two fragments have velocities \( v \hat{j} \) and \( v \hat{i} \). The velocity of the third fragment is
[UPSEAT 2004]
(a) \( v(\hat{j}-\hat{i}) \)
(b) \( v(\hat{i}-\hat{j}) \)
(c) \( -v(\hat{i}+\hat{j}) \)
(d) \( \frac{v(\hat{i}+\hat{j})}{\sqrt{2}} \)
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