Question

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.

Answer 1

Answer:

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