MHT CET 2026 Physics question

Physics Kinetic Theory of Gases MHT CET 2026

An ideal gas is expanded adiabatically. How many times has the gas to be expanded to reduce the r.m.s. speed of molecules 3 times ? ( = 1.5)

(A)32 times
(B)16 times
(C)8 times
(D)81 timesCorrect

Answer: (D)

Solution

The r.m.s. speed is . Reducing by a factor of 3 means the temperature falls by a factor of 9: . For an adiabatic process constant, so

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Question ID VK-098434