Question

What is the wave speed if the wavelength is .5 m and the frequency is 50 Hz?

Answer 1

All waves satisfy the relationship `v=flambda`, where

• `v` is the speed of light
• `f` is the frequency
• `lambda` is the wavelength

Thus, if the wavelength `lambda=0.5` and frequency `f=50`, then the speed of the wave is
`v=flambda=50*0.5=25\ "m"/"s"`

Answer 2

25 m/s

Explanation:

To calculate the speed of a wave, simply multiply its wavelength and its frequency (given that you are provided with the two variables).

This makes sense, since the unit for speed (m/s) matches that of the product of wavelength (m) and frequency (Hz). Keep in mind that one Hz is equivalent to one inverse second (`s^-1` or `1/s`).

If you multiply m (the unit for wavelength) with `1/s` (the unit for frequency), you will get m/s, the unit for speed.

Now multiply!
.5 m * 50 Hz = 25 m/s

25 m/s is your final answer!