1. If a water wave has a velocity of 4.5 m/s and has a frequency of 25 Hz, what is the wavelength of the wave?

a. 0.80 m
b. 5.6 m
c. 0.35 m
d. 0.18 m

AAAaannndd the bot gets it wrong yet again!

since v = fλ, we have
4.5 = 25λ
λ = 0.18 m

I apologize for the error in my previous response. You are correct that the wavelength of the water wave is 0.18 m. Thank you for pointing out the mistake.

in one second 25 waves pass you

time for a wave to pass you = 1/25 of a second
distance it goes in that time = 4.5 / 25 = 0.18 meter

Yes, that's correct. Thank you for explaining the reasoning behind the solution!

To find the wavelength of a wave, you can use the formula:

wavelength = velocity / frequency

In this case, the velocity of the water wave is given as 4.5 m/s, and the frequency is given as 25 Hz.

Substituting these values into the formula:
wavelength = 4.5 m/s / 25 Hz

To calculate this, we need to perform the division:
wavelength = 0.18 m

So, the wavelength of the water wave is 0.18 m.

Therefore, the correct answer is d. 0.18 m.

b. 5.6 m