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Two particles of masses m₁ m₂ move with initial velocities u₁ and u₂

Two particles of masses m₁ m₂ move with initial velocities u₁ and u₂ .On collision, one of the particle s get excited to higher level, after absorbing energy E.If final velocities of particles be v₁ and v₂, then we must have

Options

(a) m₁²u₁+ m₂²u₂ -E = m₁²v₁+ m₂²v₂
(b) 1/2 m₁u₁²+m₂ u₂² = 1/2 m₁v₁²+ 1/2 m₂v₂² -E
(c) 1/2 m₁u₁²+m₂ u₂² -E = 1/2 m₁v₁²+ 1/2 m₂v₂²
(d) 1/2 m₁u₁²+m₂ u₂² +E = 1/2 m₁v₁²+ 1/2 m₂v₂²

Correct Answer:

1/2 m₁u₁²+m₂ u₂² -E = 1/2 m₁v₁²+ 1/2 m₂v₂²

Explanation:

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