The velocity of wave having wavelength of 9 meter and time period 0.006 is 1500 meter per second.
Solution:
By using the velocity wavelength frequency relationship, velocity is the product of frequency and wavelength
[tex]\text {Velocity }(v)=\text {Frequency}(f) \times \text {Wavelength}(\lambda)-----(1)[/tex]
Frequency is the inverse of time period.
[tex]\begin{array}{l}{\text { Frequency }=\frac{1}{\text { Time period }}} \\\\ {\text { Time period }=0.006} \\\\ {\text { Frequency }=\frac{1}{0.006}=166.666} \\\\ {\text { Frequency } \approx 166.67 \mathrm{Hz}}\end{array}[/tex]
Wavelength = 9 meter
Apply the frequency and wavelength value in equation 1, we get,
[tex]\begin{array}{l}{\text { Velocity }=166.67 \times 9=1500.03} \\ {\text { Velocity of wave } \approx 1500 \text { meter per second }}\end{array}[/tex]
