JEE MAIN - Physics (2024 - 30th January Morning Shift - No. 11)

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $$47^{\circ} \mathrm{C}$$ ?
20 K
80 K
4 K
$$-73$$ K

Explanation

$$\begin{aligned} & \sqrt{\frac{3 R T}{2}}=\sqrt{\frac{3 R(320)}{32}} \\ & T=\frac{320}{16}=20 \mathrm{~K} \end{aligned}$$

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