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Two particles each of mass \( m \) travelling with velocities \( u_{1} \) and \( u_{2} \) collide perfectly inelastically.
\( \mathrm{P} \) The loss of kinetic energy will be-

W
(1) \( \frac{1}{2} m\left(u_{1}-u_{2}\right)^{2} \)
(2) \( \frac{1}{4} m\left(u_{1}-u_{2}\right)^{2} \)
(3) \( m\left(u_{1}-u_{2}\right)^{2} \)
(4) \( 2 m\left(u_{1}-u_{2}\right)^{2} \)
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