The speed of sound in the same ideal gas is v₁ at absolute temperature T₁ and v₂ at temperature T₂. The ratio of specific heats γ remains unchanged. Which relation is correct?
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Question

The speed of sound in the same ideal gas is v₁ at absolute temperature T₁ and v₂ at temperature T₂. The ratio of specific heats γ remains unchanged. Which relation is correct?

G1 Physics · Accepted Answer

For an ideal gas, v = √(γRT/M). For the same gas, γ and molar mass M are constant. Therefore, v ∝ √T. Hence, v₂/v₁ = √(T₂/T₁). Correct option: B.