In a one dimensional collision of two particles, velocities are interchanged when: (i) Collision is elastic and masses are equal (ii) Collision is inelastic but masses are unequal Select the correct alternative.

Question

In a one dimensional collision of two particles, velocities are interchanged when: (i) Collision is elastic and masses are equal (ii) Collision is inelastic but masses are unequal Select the correct alternative., only (i) is correct, only (ii) is correct, both (i) and (ii) are correct, both (i) and (ii) are wrong

MARKS App · Accepted Answer

For elastic collision, v 2 - v 1 = u 1 - u 2 … … ( i ) Momentum conservation, m 1 u 1 + m 2 u 2 = m 1 v 1 + m 2 u 2 For equal masses, u 1 + u 2 = v 1 + v 2 … … ( i i ) Solving (i) & (ii) we get, v 1 = u 2 and v 2 = u 1

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