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Let f' be the frequency of sound heard by the cliff. For the reflected wave, cliff acts as a source. Calculate 2f = (v + v₀) / (v - v₀) × f' when v = 330 m/s, v₀ = 10 m/s, and f' = 600 Hz.
- 103 Hz
- 1412 Hz
- 5000 Hz
- 720 Hz
Correct answer: 1412 Hz
Solution
The formula for the reflected wave frequency is given as 2f = (v + v₀) / (v - v₀) × f'. Substituting the values: v = 330 m/s, v₀ = 10 m/s, and f' = 600 Hz, we get 2f = (330 + 10) / (330 - 10) × 600 = 340 / 320 × 600 = 1.0625 × 600 = 1412.5 Hz ≈ 1412 Hz.
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