The wavelength of a radio wave varies inversely as its frequency. A wave with a frequency of 1800 kilohertz has a length of 200 meters. What is the length of a wave with a frequency of 360 kilohertz?

1000meters

Explanation:

Let the wavelength of the radio wave be W and it's frequency be f. If the wavelength of a radio wave varies inversely as its frequency, then W∝1/f

W = k/f where k is the constant of proportionality.

k = Wf

If a wave with a frequency of 1800 kilohertz has a length of 200 meters, then k = 1800×200

k = 360,000kHzm

To get the length of a wave with a frequency of 360 kilohertz, we will substitute the value of k and f = 360kHz into the initial formula i.e

W = k/f

W = 360,000/360

W = 1000meters

Hence the length of a wave with a frequency of 360 kilohertz is 1000meters