MHT CET 2024 Physics question

A perfect gas of volume 5 litre is compressed isothermally to volume of 1 litre. The r.m. s. speed of the molecule will

(A)increased by 10 times
(B)decrease by 10 times
(C)increase by 5 time
(D)remain unchangedCorrect

Answer: (D)

Solution

The r.m.s. speed of gas molecules is , which depends only on the absolute temperature and the molar mass, not on the volume or pressure. An isothermal compression keeps constant, so is

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Question ID VK-093189