Answer:
The wavelength of the wave would increase to 10 meters.
Step-by-step explanation:
We can use the formula:
velocity = frequency × wavelength
to relate the velocity, frequency, and wavelength of a wave.
Given that the wave has a speed of 20 m/s and a wavelength of 5 meters, we can solve for its frequency as follows:
frequency = velocity ÷ wavelength = 20 m/s ÷ 5 meters = 4 Hz
Now, if the same wave is created in the same medium, but with half the original frequency, its new frequency will be:
new frequency = 4 Hz ÷ 2 = 2 Hz
To find the new wavelength of the wave, we can rearrange the formula above to solve for wavelength:
wavelength = velocity ÷ frequency
Using the new frequency of 2 Hz, we get:
new wavelength = 20 m/s ÷ 2 Hz = 10 meters
Therefore, if the same wave was created in the same medium, with half the original frequency, the wavelength of the wave would increase to 10 meters.