JEE Main Physics question
Two balls, having linear momenta p₁ = pî and p₂ = −pî, undergo a collision in free space. There is no external force acting on the balls. Let p₁' and p₂' be their final momenta. The following option(s) is(are) NOT ALLOWED for any non-zero value of p, a₁, a₂, b₁, b₂ and c₁ [IIT JEE 2008]
Answer: (A),(D)
Solution
The initial momentum of the system is zero in all three (x, y, z) directions. By conservation of momentum, the sum of the final momenta must also be zero in each direction: Σpₓ=0, Σ=0, Σ=0. Option (A) has no z-component for p₂' to cancel p₁''s c₁k̂ term, so Σ = c₁ ≠ 0 — not allowed. Option (D) has no
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