A) \[{{v}^{2}}T=\] constant
B) \[{{v}^{2}}/T=\]constant
C) \[v{{T}^{2}}=\]constant
D) v is independent of T
Correct Answer: B
Solution :
RMS velocity is given by \[v=\sqrt{\frac{3kT}{m}}\]or \[{{v}^{2}}=\frac{3kT}{m}\] For a gas, k and m are constants. \[\therefore \] \[\frac{{{v}^{2}}}{T}=\operatorname{constant}\]
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