Question

Radio waves travel at a speed of 300,000,000 m/s. WFNX broadcasts radio waves at a frequency of 101,700,000 Hertz. What is the wavelength of WFNX’s radio waves?

Answer 1

Answer:

2.94985

Explanation:

If I am right then your answer is in the figure

Answer 2

Answer:

The wavelength of WFNX’s radio waves is $\lambda$=2.94985250737463126 m

Explanation:

All waves of the electromagnetic spectrum, radio waves travel at the speed of light.

A radio wave travels at the speed of light, any radio wave must travel quicker than sound based on the magnitudes of the speeds for light and sound! Light travels at nearly a million times the speed of sound.

Step 1: This is the formula used for problems related to Wavelength.

$& \lambda=\frac{\underline{v}}{\underline{f}}$

$& \lambda$=wavelength

v=velocity

f=frequency

Identify knowns

This question is asking to find wavelength with knowns of velocity and frequency.

Step 2: Input variables, solve and simplify

a. Identify knowns

$\begin{aligned}& v=300000000 \mathrm{~m} / \mathrm{s} \\& f=101700000 \mathrm{~Hz}\end{aligned}$

Step 3: Convert units

$f=101700000 \mathrm{~Hz} \cdot \frac{11 / \mathrm{s}}{1 \mathrm{~Hz}} \quad f=1017000001 / \mathrm{s}$

Step 4: Plug-in values

$\lambda=\frac{300000000 \mathrm{~m} / \mathrm{s}}{1017000001 / \mathrm{s}}$

Cancel terms that are in both the numerator and denominator

$\lambda=2.94985250737463126 \mathrm{~m}$

Hence, The wavelength of WFNX’s radio waves is  $\lambda=2.94985250737463126 \mathrm{~m}$

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