A) \[\sqrt{\frac{2RT}{M}}\]
B) \[\sqrt{\frac{3PV}{M}}\]
C) \[\sqrt{\frac{3d}{P}}\]
D) \[\sqrt{\frac{2KE}{M}}\]
Correct Answer: C
Solution :
Key Idea: Root mean square velocity \[=\sqrt{\frac{3RT}{M}}\] \[=\sqrt{\frac{3PV}{M}}=\sqrt{\frac{2KE}{M}}\] \[\left( \because \,KE=\frac{3}{2}PV \right)\] \[\therefore \] \[\text{rms}\,\text{velocity}\ne \sqrt{\frac{3d}{P}}\]
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