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QJEEM23Ph7f9e: JEE Main 2023 Physics - Class 11 JEEM23Ph7f9e Solution: The root mean square velocity of molecules of gas is

The root mean square velocity of molecules of gas is

A Proportional to temperature ( $T$ )
B Inversely proportional to square root of temperature $\left( {\sqrt {{1 \over T}} } \right)$
C Proportional to square of temperature ( $T^2$ )
D Proportional to square root of temperature ( $\sqrt T$ )

Step-by-Step Verified Solution

The rms speed of a gas molecule is

\mathrm{V}_{\mathrm{RMS}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}}

\mathrm{V}_{\mathrm{RMS}} \propto \sqrt{\mathrm{T}}