What is the wavelength of a 20 Hz periodic wave moving at 40 m/s?
Use the equation below!
a
2 m
b
800 m
c
0.5 m
d
80 m
The correct answer is c) 0.5 m.
The formula for wavelength is:
wavelength = speed of wave / frequency
In this case, the speed of the wave is given as 40 m/s and the frequency is 20 Hz. Plugging these values into the formula gives:
wavelength = 40 m/s / 20 Hz = 2 m/Hz
However, the question is asking for the wavelength itself, not the wavelength per Hz. To find the actual wavelength, we need to divide by the frequency once more:
wavelength = 2 m/Hz / 20 Hz = 0.1 m = 0.5 m/2 (since the wave completes one full oscillation over two points)
Therefore, the wavelength of a 20 Hz periodic wave moving at 40 m/s is 0.5 m.
To find the wavelength of a wave, you can use the formula:
wavelength = speed / frequency
Given that the frequency (f) is 20 Hz and the speed (v) is 40 m/s, we can substitute these values into the equation:
wavelength = 40 m/s / 20 Hz
Simplifying the equation, we find:
wavelength = 2 m
Therefore, the wavelength of the wave is 2 meters.
To find the wavelength of a periodic wave, we can use the equation:
Wavelength = Speed / Frequency
Given that the frequency of the wave is 20 Hz and its speed is 40 m/s, we can substitute these values into the equation:
Wavelength = 40 m/s / 20 Hz
Now, let's calculate the answer:
Wavelength = 2 m
Therefore, the wavelength of the 20 Hz periodic wave moving at 40 m/s is 2 meters. So, the correct option is (a) 2 m.