Kinetic Theory

JEE Main level, single correct, medium

2 of 168

Question 2 of 168

The RMS speed of gas molecules at absolute temperature TT is vrmsv_{rms}. If the temperature is increased to 4T4T, the new RMS speed is:

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Answer: (B) 2vrms2 v_{rms}

vrms=3RT/M∝Tv_{rms} = \sqrt{3RT/M} \propto \sqrt{T}. If temperature is quadrupled, RMS speed doubles: v′=2vrmsv' = 2 v_{rms}.

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