A) \[{{d}^{2}}\]
B) d
C) \[\sqrt{d}\]
D) \[1/\sqrt{d}\]
Correct Answer: D
Solution :
\[{{\operatorname{U}}_{RMS}}=\sqrt{\frac{3RT}{M}}\]using ideal gas equation | \[PV=nRT=\frac{w}{M}RT;\frac{RT}{M}=\frac{PV}{w}=\frac{P}{d}\]where d is density of the gas |
\[\therefore \]\[{{U}_{RMS}}=\sqrt{\frac{3P}{d}}\]at constant pressure | \[{{\operatorname{U}}_{RMS}}\propto \frac{1}{\sqrt{d}}\] |
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