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Question: Answered & Verified by Expert
A molecule of mass ' $m$ ' moving with velocity ' $\mathrm{v}$ ' makes 5 elastic collisions with a wall of container per second. The change in momentum of the wall per second in 5 collisions will be
PhysicsCenter of Mass Momentum and CollisionMHT CETMHT CET 2021 (21 Sep Shift 2)
Options:
  • A $10 \mathrm{mv}$
  • B $5 \mathrm{mv}$
  • C $\frac{1}{5} \mathrm{mv}$
  • D $\frac{1}{10} \mathrm{mv}$
Solution:
1963 Upvotes Verified Answer
The correct answer is: $10 \mathrm{mv}$
Change in momentum in each collision is $[\mathrm{mv}-(-\mathrm{mv})]=2 \mathrm{mv}$ Hence change in momentum in 5 collisions is $5 \times 2 \mathrm{mv}=10 \mathrm{mv}$

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