Kinetic Theory

JEE Main level, single correct, medium

25 of 168

Question 25 of 168

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

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Answer: (B)

$\begin{aligned}
& \mathrm{V}_{\mathrm{ms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} \\

& \mathrm{~V}_{\mathrm{rms}}^2=3 \mathrm{RT} / \mathrm{M}

\end{aligned}$


Hence we can conclude that
Vrms2\mathrm{V}_{\mathrm{rms}}^2 is directly proportional to temperature
y=mx\mathrm{y}=\mathrm{mx}
⇒\Rightarrow Graph will be straight line

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