The root mean square...| KTG & THERMODYNAMICS| JEE-Main 2023

JEE MAINS 2024

25.01.23

Question

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

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Solution

Sol. The rms speed of a gas molecule is $$ \begin{aligned} & \mathrm{V}_{\mathrm{RMS}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} \\ & \mathrm{~V}_{\mathrm{RMS}} \propto \sqrt{\mathrm{~T}} \end{aligned} $$

Question Tags

JEE Main

Physics

Easy

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