Difficult
$A$ container is divided into two equal halves by a diathermic partition. Two different ideal gases are filled in the left $(L)$ and right $(R)$ parts. The $rms$ speed of the molecules in the $L$ part is equal to the average speed of the molecules in the $R$ part. Find the ratio of the mass of a molecule in the $L$ part to the mass of a molecule in the $R$ part.
- A$\sqrt{3/2}$
- B$\sqrt{\pi/4}$
- C$\sqrt{2/3}$
- D$3\pi/8$
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