A) The ratio of the mean speed of the RMS speed is independent of the temperature
B) The square of the mean speed of the molecules is equal to the mean square speed at a certain temperature
C) Mean kinetic energy of the gas molecules at any given temperature is independent of the mean speed
D) The difference between RMS speed and mean speed at any temperature for different diminishes as larger and yet larger molar masses are considered
Correct Answer: B
Solution :
\[{{V}_{rms}}=\sqrt{\frac{V_{1}^{2}+V_{2}^{2}+V_{3}^{2}....+V_{n}^{2}}{n}}\] as \[{{V}_{AV}}=\frac{{{V}_{1}}+{{V}_{2}}+{{V}_{3}}+....{{V}_{n}}}{n}\] \[\therefore \] \[{{V}_{mas}}\ne {{({{V}_{AV}})}^{2}}\]
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