MHT CET 2023 Physics question

An ideal gas expands adiabatically. ( = 1.5) To reduce the r.m.s. velocity of the molecules 3 times, the gas has to be expanded

Answer: (A)

Solution

The r.m.s. velocity is , so reducing to one-third means the temperature falls to one-ninth: . For an adiabatic process, :

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Question ID VK-096333