Question

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

Answer 1

3) 3.19 m

Step-by-step explanation:

Given data:

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 2

Answer;

0.00319 m

Step-by-step 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