JEE MAIN - Physics (2023 - 25th January Morning Shift - No. 3)
The root mean square velocity of molecules of gas is
Proportional to temperature ($$T$$)
Inversely proportional to square root of temperature $$\left( {\sqrt {{1 \over T}} } \right)$$
Proportional to square of temperature ($$T^2$$)
Proportional to square root of temperature ($$\sqrt T$$)
Spiegazione
The rms speed of a gas molecule is
$$ \mathrm{V}_{\mathrm{RMS}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} $$
$\mathrm{V}_{\mathrm{RMS}} \propto \sqrt{\mathrm{T}}$
$$ \mathrm{V}_{\mathrm{RMS}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} $$
$\mathrm{V}_{\mathrm{RMS}} \propto \sqrt{\mathrm{T}}$