There are 50 vibrations in 30 seconds
So frequency is given by
[tex]f = \frac{N}{T}[/tex]
[tex]f = \frac{50}{30}[/tex]
Now we can also find the speed of wave
speed is defined as ratio of distance and time
[tex]speed = \frac{distance}{time}[/tex]
[tex]speed = \frac{0.50}{15}[/tex]
[tex]v = 0.033 m/s[/tex]
now to find the wavelength we can use the relation between frequency, wavelength and speed
this relation is given as
[tex]speed = frequency * wavelength[/tex]
[tex]0.033 = \frac{5}{3}* \lambda[/tex]
[tex]\lambda = 0.02 m = 2 cm[/tex]
so the wavelength is 2 cm
