Question

A wave traveling at 50.0 m/s has a wavelength of 10.0 m. What is the frequency of the wave? Show your work below?

Answer 1

The frequency of the wave is 5 Hz

Step-by-step explanation:

Wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

Frequency is the number of vibrations that occur in a unit of time. Its unit is s – 1 or hertz (Hz).

The propagation velocity is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement. Relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation: v = f * λ.

In this case:

• v= 50
  `(m)/(s)`
• f=?
• λ= 10 m

Replacing:

50
`(m)/(s)` = f* 10 m

Solving:

`f=(50 (m)/(s) )/(10 m)`

f=5 Hz

The frequency of the wave is 5 Hz