JEE Physics · Hard

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. Assuming sound speed is proportional to √T, its frequency at 357°C is approximately:
  1. A
    295 Hz
    Correct
  2. B
    200 Hz
  3. C
    283 Hz
  4. D
    400 Hz

Correct answer

295 Hz

Explanation

For a fixed pipe, f∝v∝√Tf∝v∝√T. Thus f2=200630/290≈<strong>295 Hz</strong>f_2=200\sqrt{630/290}≈<strong>295\text{ Hz}</strong>.