Question

An FM radio station broadcasts at 9.23 × 107 Hz. Given that the radio waves travel at 3.00 × 108 m/s, what is the wavelength of these waves?

Answer 1

3.25

Step-by-step explanation:

on edge :)

Answer 2

3.2m

Step-by-step explanation:

Given parameters:

Frequency of the FM radio = 9.23 x 10⁷Hz

Velocity of the waves = 3 x 10⁸m/s

Unknown:

Wavelength of the wave = ?

Solution:

To solve for the wavelength of the wave, we need the velocity equation;

Velocity = frequency x wavelength.

Radio waves are all electromagnetic radiations produced by both electrical and magnetic fields perpendicularly oriented to one another.

Since the unknown is wavelength, we solve for it:

3 x 10⁸ = 9.23 x 10⁷ x wavelength

wavelength =
`( 3 x 10^(8) )/(9.23 x 10^(7) )`

wavelength = 3.2m