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A molecule of mass m of an ideal gas collides with the wall of a vessel with a velocity v and returns back with the same velocity. The change in linear momentum of molecule is

1. 2 mv
2. 4 mv
3. 8 mv
4. 10 mv

Correct answer: 2 mv

Solution

The initial momentum of the molecule is mv, and after collision, it reverses direction, so its final momentum is -mv. The change in momentum is final minus initial, which is -mv - mv = -2mv. The magnitude of the change is 2mv.

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