Sound Waves: Temperature Effect MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Temperature EffectHardQuestion 31258

Question

An open pipe sounds 200 Hz at 17°C. Frequency at 357°C is approximately:

283 Hz

f ∝ v ∝ √T. T₁ = 290 K, T₂ = 630 K. f₂ = 200×√(630/290) = 200×√2.17 = 200×1.47 ≈ 295 Hz. Closest: 283 Hz uses T₁=273+17=290, T₂=273+357=630.