# Problem: Consider electromagnetic waves propagating in air. (a) Determine the frequency of a wave with a wavelength of(i) 5.0 km,(ii)5µm(iii) 5.0 nm.(b) What is the wavelength (in meters and nanometers) of(i) gamma rays of frequency 6.5x1021Hz(ii) an AM station radio wave of frequency 590 kHz?

###### FREE Expert Solution

Frequency:

$\overline{){\mathbf{f}}{\mathbf{=}}\frac{\mathbf{c}}{\mathbf{\lambda }}}$

(a)

(i) f = (3.0 × 108)/(5.0 × 103) = 6.0 × 104 Hz

###### Problem Details

Consider electromagnetic waves propagating in air.

(a) Determine the frequency of a wave with a wavelength of
(i) 5.0 km,
(ii)5µm
(iii) 5.0 nm.

(b) What is the wavelength (in meters and nanometers) of
(i) gamma rays of frequency 6.5x1021Hz
(ii) an AM station radio wave of frequency 590 kHz?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the What is an Electromagnetic Wave? concept. You can view video lessons to learn What is an Electromagnetic Wave?. Or if you need more What is an Electromagnetic Wave? practice, you can also practice What is an Electromagnetic Wave? practice problems.