An FM radio station generates radio waves that have a frequency of 101.3 MHz. The frequency of the waves from a competing station have a frequency of 107.1 MHz. What is the difference in wavelength between the waves emitted from the two stations

Given Information:  

Required Information:  

λ₁ - λ₂ = ?

λ₁ - λ₂ = 0.16 m

Explanation:

To find out the difference between two wavelengths , first we have to find the individual wavelength of two radio waves.

As we know Radio waves are electromagnetic waves and they travel at the speed of light. The relation between frequency, wavelength and speed of radio waves is given by

λ = c / f

Where c is the speed of light and is equal to 299792458 m/s

λ₁ = c / f₁

λ₁ = 299792458 / 101.3x10⁶

λ₁ = 2.959

λ₂ = c / f₂

λ₂ = 299792458 / 107.1x10⁶

λ₂ = 2.799 m

Therefore, the difference between the wavelengths is

λ₁ - λ₂ = 2.959 - 2.799

λ₁ - λ₂ = 0.16 m