A wave has a frequency of 500 Hz and a wavelength of 20 m. At what speed is this wave
traveling?
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A wave has a frequency of 500 Hz and a wavelength of 20 m. At what speed is this wave
traveling?
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Step-by-step explanation:
wavelength of the wave is 0.40 m.
Frequency f of a wave is defined as the number of waves traveling through a point in one second. Wavelength λ is the distance traveled by the wave in one complete time period. The speed of the wave v is related to frequency and wavelength by the expression,
v=f \lambdav=fλ
Therefore,
\lambda =\frac{v}{f}λ=fv
Substitute 200 m/s for v and 500 Hz for f.
\begin{gathered}\lambda =\frac{v}{f}\\ =\frac{200 m/s}{500 Hz} \\ =0.40m\end{gathered}λ=fv=500Hz200m/s=0.40m
Thus, the wavelength of the wave is 0.40m
Step-by-step explanation:
Given : ν=500Hz v=300m/s δ=60
o
=
3
π
radians
Wavelength of the wave λ=
ν
v
=
500
300
=0.6 m
Minimum distance between two points Δx=
2π/λ
δ
∴ Δx=
2π/0.6
π/3
=0.1 m=10 cm