Calculate the time taken by a sound wave of frequency 1 kHz and wavelength of 40 cm to travel a distance of 4 km.
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A.
10.0 seconds
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B.
2.1 seconds
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C.
1.0 seconds
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D.
21 seconds
Correct Answer:
A. 10.0 seconds
Explanation:
To calculate the time taken for the sound wave to travel the specified distance, we first determine the speed of sound using the formula: speed (v) = frequency (f) × wavelength (λ). Given a frequency of 1 kHz (1,000 Hz) and a wavelength of 40 cm (0.4 m), the speed is 1,000 Hz × 0.4 m = 400 m/s. Next, we use the relationship time (t) = distance (d) / speed (v). For a distance of 4 km (4,000 m), the time required is 4,000 m / 400 m/s, which equals 10.0 seconds.
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