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The frequency of sound observer hears in the echo reflected from the cliff is 838 Hz. Here, original frequency of sound, f₀ = 100 Hz. Speed of source Vₛ = 19.4 cos 60° = 9.7. From Doppler's formula, f' = f₀ (V - V₀) / (V - Vₛ). Calculate the apparent frequency.
- 103 Hz
- 1412 Hz
- 5000 Hz
- 720 Hz
Correct answer: 1412 Hz
Solution
The Doppler effect formula is applied twice: once for the sound wave traveling to the cliff and once for the echo returning to the observer. Substituting the given values into the formula, the apparent frequency is calculated as 1412 Hz.
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