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7) There Are 5 Successive Compressions of a Sound Wave Train in 7.20 Cm. If the Sound Wave Travels 6.80 Km in 20.0 Seconds.determine

Question

7) There are 5 successive compressions of a sound wave train in 7.20 cm. If the sound wave travels 6.80 km in 20.0 seconds.determine the frequency of the sound wave. (1.89times 10^4Hz)

Solution

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Harriet Master · Tutor for 5 years

Answer

Here's how to determine the frequency of the sound wave:1. **Wavelength Calculation:**Since there are 5 compressions in 7.20 cm, this represents 4 full wavelengths. (Think of it like the distance between 5 fence posts - there are only 4 spaces between them.) Therefore, the wavelength (λ) is:λ = 7.20 cm / 4 = 1.80 cm = 0.0180 m (It's important to convert to meters for consistency with other units)2. **Speed Calculation:**The speed (v) of the sound wave is given by the distance traveled divided by the time taken:v = 6.80 km / 20.0 s = 6800 m / 20.0 s = 340 m/s3. **Frequency Calculation:**The frequency (f) of a wave is related to its speed and wavelength by the following equation:v = fλSolving for frequency:f = v / λ = 340 m/s / 0.0180 m = 18888.89 Hz4. **Rounding for Significant Figures:**The given values have three significant figures, so the final answer should also have three significant figures:f ≈ 1.89 x 10⁴ HzTherefore, the frequency of the sound wave is approximately .