The root mean square velocity of molecules of gas is
(1) Proportional to square of temperature $\left(\mathrm{T}^2\right)$.
(2) Inversely proportional to square root of temperature
(3) Proportional to square root of temperature $\sqrt{T}$.
(4) Proportional to temperature (T).|
Options
A
B
C
D
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Sol. The rms speed of a gas molecule is
$$
\begin{aligned}
& \mathrm{V}_{\mathrm{RMS}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} \\
& \mathrm{~V}_{\mathrm{RMS}} \propto \sqrt{\mathrm{~T}}
\end{aligned}
$$
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