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RMS and KE Expressions

If the absolu...

Question

If the absolute temperature of a gas is tripled, then the rms velocity of gas molecules will become

1/3

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\sqrt{3}

times

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3 times

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9 times

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Solution

The correct option is B $\sqrt{3}$ times
Vrms = $\sqrt{\frac{3 R T}{M}}$ i.e, $V_{r m s} \propto \sqrt{T}$

Given that temperature of the gas is tripled and hence Vrms i.e rms velocity becomes root 3 times

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