Two particles \(P\) and \(Q\) each of mass \(3 \mathrm{~m}\) lie at rest on the \(\mathrm{X}\)-axis at…

Two particles \(P\) and \(Q\) each of mass \(3 \mathrm{~m}\) lie at rest on the \(\mathrm{X}\)-axis at points \((-a, 0)\) and \((+a, 0)\), respectively. A third particle \(R\) of mass \(2 \mathrm{~m}\) initially at the origin moves towards the particle \(Q\). If all the collisions of the system of 3 particles are elastic and head on, the total number of collisions in the system is
  1. 2
  2. 3
  3. 4
  4. 5

Solution

According to question, three particles are situated as shown below,
\(\because\) All the collision of the system of 3 particles are elastic and head on. So, collision of R and Q,
Hence, \(R\) and \(Q\) will never collide after 1 st collision. \(\therefore\) Total numbers of collision is 2.

Asked in: AP EAMCET 2019 (20 Apr Shift 1)

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