An ocean wave has a wavelength of 2 meters and a period of 5 seconds. what is the speed of the wave? 0.4 m/s 2.5 m/s 10 m/s 50 m/s
Answer:
0.4 m/s
Explanation:
The frequency of the wave is equal to the reciprocal of the period:
\(f=\frac{1}{T}=\frac{1}{5s}=0.2 Hz\)
For a wave, wavelength, speed and frequency are related by the following equation:
\(v=f\lambda\)
where
v is the speed of the wave
f is the frequency
\(\lambda\) is the wavelength
For the water wave in this problem, \(f=0.2 Hz\) and \(\lambda=2 m\), so the speed of the wave is
\(v=f\lambda=(0.2 Hz)(2 m)=0.4 m/s\)