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Consider elastic collision of a particle of mass \( m \) moving with a velocity \( u \) with another particle of the same mass at rest. After collision the projectile and the struck particle move in directions making angles \( \theta_{1} \) and \( \theta_{2} \) respectively with the initial direction of motion. The sum of the angles. \( \theta_{1}+\theta_{2} \), is
[UPSEAT 2004]
(a) \( 45^{\circ} \)
(b) \( 90^{\circ} \)
(c) \( 135^{\circ} \)
(d) \( 180^{\circ} \)
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