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Q: A source of frequency 500 Hz emits waves of 0.4 m wavelength. How long time will it take by the wave to travel 600 meters?
  • A. 9 seconds
  • B. 6 seconds
  • C. 3 seconds
  • D. 12 seconds
Correct Answer: Option C - The wavelength (λ) of a wave has the following relation between the velocity (v) and the frequency (n) of the wave λ = v / n Given, n = 500 Hz, λ = 0.4 m λ = v / n v = n × λ, = 500 × 0.40 = 200 m / s Time = distance / speed = 600/200 = 3 sec.
C. The wavelength (λ) of a wave has the following relation between the velocity (v) and the frequency (n) of the wave λ = v / n Given, n = 500 Hz, λ = 0.4 m λ = v / n v = n × λ, = 500 × 0.40 = 200 m / s Time = distance / speed = 600/200 = 3 sec.

Explanations:

The wavelength (λ) of a wave has the following relation between the velocity (v) and the frequency (n) of the wave λ = v / n Given, n = 500 Hz, λ = 0.4 m λ = v / n v = n × λ, = 500 × 0.40 = 200 m / s Time = distance / speed = 600/200 = 3 sec.