Question

For the following problems, you can assume that the speed of sound is 340 m/s. If the frequency of an electromagnetic wave is 2.147×109 what is the wavelength?

I'm not sure how to solve this, can anyone help?

Answer 1

Approximately `0.14` meters.

Explanation:

Wavelength is given by the equation:

`lambda=v/f`

where:

• `lambda` is the wavelength in meters

• `v` is the velocity in meters per second

• `f` is the frequency in hertz

So, plugging in our given values, we get:

`lambda=((3*10^8 \ "m")/(color(red)cancelcolor(black)"s"))/(2.147*10^9color(red)cancelcolor(black)"s"^-1) = 1.397*10^-1 m` `(because 1 \ "Hz"=1 \ "s"^-1)`

`~~0.14 \ "m"`