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Question
The mean square speed of the molecules of a gas at absolute temperature T is proportional to
Options
\[\frac{1}{T}\]
\[\sqrt{T}\]
T
T2
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Solution
T
Root mean squared velocity is given by\[v_{rms} = \sqrt{\frac{3RT}{M}}\]
\[ \Rightarrow \left( v_{rms} \right)^2 = \frac{3RT}{M}\]
\[ \Rightarrow \left( v_{rms} \right)^2 \alpha T\]
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