If the root mean square |CoordinationCompoundsJEEMAIN2023

JEE MAIN 2024

01-02-2024 S2

Question

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root mean square velocity of oxygen at the same condition in km/s is :

Select the correct option:

2.0

0.5

1.5

1.0

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} \\ & \frac{\mathrm{V}_1}{\mathrm{~V}_2}=\sqrt{\frac{\mathrm{M}_2}{\mathrm{M}_1}} \Rightarrow \frac{2}{\mathrm{~V}_2}=\sqrt{\frac{32}{2}} \\ & \mathrm{~V}_2=0.5 \mathrm{~km} / \mathrm{s}\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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