Amateur radio operators in the United States can transmit on several bands. One of those bands consists of radio waves with a wavelength near 40nm.

Calculate the frequency of these radio waves.

7.5 * 10¹⁵ Hz

Explanation:

Given data

Wavelength of the radio waves (λ) : 40 nm = 40 * 10⁻⁹ m = 4.0 * 10⁻⁸ m Frequency of the radio waves (ν) : ? Speed of light (c) : 3.00 * 10⁸ m/s

We can determine the frequency of the radio waves using the following expression.

c = λ * ν

ν = c/λ

ν = (3.00 * 10⁸ m/s) / 4.0 * 10⁻⁸ m

ν = 7.5 * 10¹⁵ s⁻¹ = 7.5 * 10¹⁵ Hz