Respuesta :

Answer:

0.05s

Explanation:

frequency = speed / wavelength = 20/1 = 20Hz. Thus period = 1/f = 1/20 = 0.05 s

This question involves the concepts of wave speed and wavelength.

The period of the wave is "0.05 s".

Period of the Wave

The wave speed is given in terms of wave frequency and wavelength as follows:

[tex]v=f\lambda\\\\f=\frac{v}{\lambda}[/tex]

where,

  • v = wave speed = 20 m/s
  • λ = wavelength = 1 m
  • f = frequency of wave = ?

Therefore,

[tex]f=\frac{20\ m/s}{1\ m}\\\\[/tex]

f = 20 Hz

Now, the period of the wave is the reciprocal of the frequency of the wave:

[tex]Period = T=\frac{1}{f}\\\\T=\frac{1}{20\ Hz}[/tex]

T = 0.05 s

Learn more about wavelength here:

https://brainly.com/question/13533093

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