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MHT CET 2026 (20 Apr, Shift 2) · Speed of Waves

Speed of Waves question from MHT CET 2026 (20 Apr, Shift 2)

Q6MHT CET 2026 · 20 APR · SHIFT 2Medium

Speed of Waves

Two monoatomic ideal gases '1' and '2' of molecular masses $m_1$ and $m_2$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas '1' to that in gas '2' is

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Answer: (b)

$v = \sqrt{\dfrac{\gamma RT}{M}}$ ; both monoatomic (same $\gamma$ ) at the same $T$ , so $v \propto 1/\sqrt{M}$ .
$\dfrac{v_1}{v_2} = \sqrt{\dfrac{m_2}{m_1}}$
So the answer is (b).

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