Question

A certain radio wave has a wavelength of 6.0 × 10-2m. What is its frequency in hertz?

Answer 1

To determine the frequency of the radio wave with a wavelength of 6.0 × 10⁻² m, divide the speed of light by the wavelength to get a frequency of 5 × 10⁹ Hz.

Step-by-step explanation:

To find the frequency of a radio wave, you can use the formula < = > =, where < is the speed of light (3.00 × 10¸ m/s), > is the wavelength, and is the frequency. Given the wavelength of 6.0 × 10⁻² m, you just divide the speed of light by the wavelength: = (3.00 × 10¸ m/s) / (6.0 × 10⁻² m) = 5 × 10⁹ Hz. Thus, the frequency in hertz is 5 × 10⁹ Hz.

Answer 2

The frequency of the wave is 5 x 10⁹ Hz

Step-by-step explanation:

Given;

wavelength of the radio wave, λ = 6.0 × 10⁻²m

radio wave is an example of electromagnetic wave, and electromagnetic waves travel with speed of light, which is equal to 3 x 10⁸ m/s².

Applying wave equation;

V = F λ

where;

V is the speed of the wave

F is the frequency of the wave

λ is the wavelength

Make F the subject of the formula

F = V / λ

F = (3 x 10⁸) / (6.0 × 10⁻²)

F = 5 x 10⁹ Hz

Therefore, the frequency of the wave is 5 x 10⁹ Hz