Question

What's the frequency of a wave with a wavelength of 10 and velocity of 200m/s?

Answer 1

`\boxed {\boxed {\sf 20 \ Hz}}`

Step-by-step explanation:

The frequency of a wave can be found using the following formula.

`f=(v)/(\lambda)`

where f is the frequency, v is the velocity/wave speed, and λ is the wavelength.

The wavelength is 10 meters and the velocity is 200 meters per second.

• 1 m/s can also be written as 1 m*s^-1

Therefore:

`v= 200 \ m*s^(-1) \\\lambda = 10 \ m`

Substitute the values into the formula.

`f=(200 \ m*s^(-1))/(10 \ m)`

Divide and note that the meters (m) will cancel each other out.

`f=(200 \ s^(-1))/(10 \ )`

`f=20 \ s^(-1)`

• 1 s^-1 is equal to Hertz
• Therefore, our answer of 20 s^-1 is equal to 20 Hz

`f= 20 \ Hz`

The frequency of the wave is 20 Hertz