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The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is

Asked in JEE Main 6th April 2nd Shift 2023 · Maxwell distribution and speed of sound

Answer: (4) 4 : 1

Step-by-step solution

Speed of sound in a gas: v=√(γ RT)/M.

Both gases are diatomic, so γ=7/5 for each and it cancels.

At the same temperature v∝1/(√M).

(v_H₂)/(v_O₂)=√(32)/2=√16=4, i.e. 4:1.

Why the other options are wrong

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