A) \[{{d}^{2}}\]
B) \[d\]
C) \[\sqrt{d}\]
D) \[\frac{1}{\sqrt{d}}\]
Correct Answer: D
Solution :
Root mean square velocity, \[\overset{-}{\mathop{u}}\,=\sqrt{\frac{3RT}{M}}\] \[=\sqrt{\frac{3pV}{M}}\] \[=\sqrt{\frac{3p}{d}}\] \[\left[ \because \,\,\,\frac{M}{V}=d \right]\] At constant pressure, \[\overset{-}{\mathop{u}}\,\propto \sqrt{\frac{1}{d}}\].
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