Answer:
Explanation:
The frequency of a wave can be found by using the formula
[tex]f = \frac{c}{ \lambda} \\ [/tex]
where
c is the velocity
From the question
wavelength = 0.39 m
c = 86 m/s
We have
[tex]f = \frac{86}{0.39} \\ = 220.512820...[/tex]
We have the final answer as
Hope this helps you
Taking into account the definition of wavelength, frecuency and propagation speed, the frequency of a wave that has a wavelength of 0.39 m and a speed of 86 m/s is 220 Hz (option B).
Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length(m).
On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).
Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.
The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:
v = f×λ
Therefore, the previous expression establishes an inversely proportional relationship between the frequency and the wavelength: The higher the frequency, the lower the wavelength and when the frequency is lower, the greater the wavelength.
In this case, you know:
v=86 m/s
f= ?
λ= 0.39 m
Replacing in the definition of propagation speed:
86 m/s= f× 0.39 m
Solving:
f= 86 m/s ÷ 0.39 m
λ= 220 Hz
In summary, the frequency of a wave that has a wavelength of 0.39 m and a speed of 86 m/s is 220 Hz (option B).
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