The speed of a wave (v) is given by the product of its frequency (f) and wavelength (λ): v = f λ. Given f = 4 kHz = 4000 Hz and λ = 35 cm = 0.35 m. Speed v = 4000 Hz 0.35 m = 1400 m/s. The time taken to travel a distance (d) is given by time = distance / speed. Given d = 3 km = 3000 m. Time t = 3000 m / 1400 m/s = 300 / 14 s = 150 / 7 s. Calculating the value: 150 / 7 ≈ 21.428 seconds. Rounding to one decimal place, the time is approximately 21.4 seconds.
A sound wave has frequency of 4 kHz and its wavelength is 35 cm, then how much time will it take to travel a distance of 3 km?
Asked in CGPSC Prelims Exam 2021 · Topic: Sound (Nature and Propagation of Sound Waves)
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