A radio station transmits its signal at 94.1 MHz. What is the wavelength of the signal?

1. 0.00319 m

2. 319 m

3. 3.19 m

4. 3.19 * 106 m

3) 3.19 m

Explanation:

Given dа ta:

Frequency of signals = 94.1 MHz

Wavelength = ?

Solution:

First of all we will convert the MHz into Hz.

94.1 * 10⁶ Hz

Formula:

speed of light = wavelength * frequency

wavelength = speed of light / frequency

wavelength = 3 * 10⁸ m/s / 94.1 * 10⁶ s⁻¹

Hz = s⁻¹

wavelength = 3 * 10⁸ m/s / 94.1 * 10⁶ s⁻¹

wavelength = 0.0319 * 10² m

wavelength = 0.0319 * 10² m

wavelength = 3.19 m

Answer;

0.00319 m

Explanation:

We are given;

Frequency of the radio wave as 94.1 MHz

We are required to calculate the wavelength of the wave;

We know that;

Speed of a wave = Frequency * Wavelength

In this case, the speed of the wave is 2.998 * 10^8 m/s

Rearranging the formula;

But; 1 MHz = 1 x 10^6 Hz

Wavelength = Speed : Frequency

= 2.998 * 10^8 m/s : 9.41 * 10^7 m/s

= 0.00319 m

The wavelength of the wave is 0.00319 m