A) \[\upsilon /2\]
B) \[\upsilon \sqrt{3}\]
C) \[\sqrt{3}\upsilon \]
D) same \[[\upsilon \] is the root mean square velocity of gas molecules at temperature T]
Correct Answer: C
Solution :
\[{{\upsilon }_{rms}}=\sqrt{\left( \frac{3RT}{M} \right)}\] \[\Rightarrow \] \[{{\upsilon }_{rms}}\propto \sqrt{T}\] \[\therefore \] \[\frac{\upsilon {{}_{rms}}}{{{\upsilon }_{rms}}}=\sqrt{\left( \frac{T}{T} \right)}\] Here: \[{{\upsilon }_{rms}}=\upsilon ,T=3T\] \[\therefore \] \[\upsilon {{}_{rms}}=\sqrt{\left( \frac{2T}{T} \right)}\upsilon \] \[=\sqrt{3}\upsilon \]
You need to login to perform this action.
You will be redirected in
3 sec
