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

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

G1 Physics · Accepted Answer

Speed of sound in an ideal gas is v = √(γRT/M) Hydrogen and oxygen are both diatomic, so γ is the same at the same temperature. Therefore, v(H₂)/v(O₂) = √[M(O₂)/M(H₂)] = √(32/2) = √16 = 4 Hence the ratio is 4:1. Option D follows.