unit 10 lesson 2

Question

The frequency of a radio wave varies inversely as its wavelength. If a 750-meter wave has a frequency of 400 kilohertz, what is the wavelength of a wave that has a frequency of 200 kilohertz? Round your answer to the nearest meter.

Answer 1

Hello, Adanech,

Electromagnetic wave frequency and wavelength are given by v*l = c, where v is the frequency, l (for lambda) is the wavelength, and c is the speed of light, a constant. We can take the frequency and wavelength of the known vales to calculate c:

(750m)*(400Hz) = 3.00x10⁸ m/sec.

Then we can calculate the wavelength of a wave with a frequency of 200kHz:

X*(200kHz) = 3.00x10⁸ m/sec

X = 1500 meters

Bob