Two identical mass \( M \) moving with velocity \( u_{1} \) and \( u_{2} \) collide perfectly in...

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Two identical mass \( M \) moving with velocity \( u_{1} \) and \( u_{2} \) collide perfectly inelastically. The loss in energy is
[Odisha JEE 2008]
(a) \( \frac{M}{2}\left(u_{2}-u_{1}\right)^{2} \)
(b) \( \frac{M}{2}\left(u_{1}-u_{2}\right)^{2} \)
(c) \( \frac{M}{4}\left(u_{1}-u_{2}\right)^{2} \)
(d) \( \frac{M}{4}\left(u_{2}-u_{1}\right)^{2} \)
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