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JEE Main · 2010 · 11 Apr 2010 · Offline · Conservation of Momentum

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Statement-1: Two particles moving in the same direction do not lose all their energy in a completely inelastic collision.

Statement-2: Principle of conservation of momentum holds true for all kinds of collisions.
  1. (A)Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.✓ Correct
  2. (B)Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement-1
  3. (C)Statement-1 is false, Statement-2 is true.
  4. (D)Statement-1 is true, Statement-2 is false.

Answer: (A)

Solution

In a completely inelastic collision the two bodies move off stuck together, and momentum is conserved, so their common velocity is . When both start out moving the same way this total momentum is non-zero, the combined body must keep moving, and some kinetic energy therefore survives, so Statement-1 is true. Statement-2, that momentum is conserved in every collision when no external force acts, is also true, and it is precisely the reason Statement-1 holds: a non-zero conserved momentum forbids the system from coming fully to rest, which is what losing all the kinetic energy would demand. Statement-2 is the correct explanation of Statement-1.

JEE Main · 2010 · 11 Apr 2010 · Offline · Single correct option

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