The speed of the wave is 40 cm/s
Explanation:
First of all, we start by calculating the frequency of the wave, which is equal to the reciprocal of the period:
[tex]f=\frac{1}{T}[/tex]
where
f is the frequency
T is the period
For the wave in this problem,
T = 0.5 s
So, its frequency is
[tex]f=\frac{1}{0.5}=2 Hz[/tex]
Now we can find the speed of the wave using the wave equation:
[tex]v=f \lambda[/tex]
where:
f = 2 Hz is the frequency
[tex]\lambda = 20 cm[/tex] is the wavelength
Substituting,
[tex]v=(2)(20)=40 cm/s[/tex]
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