Question

question 3
radio waves have a wavelength of 50 m. calculate the frequency.
$c = f\lambda$
$c = 3\times10^{8}m/s$
500 hz
6,000,000 hz
60,000,000 hz
0.000000017 hz

Explanation:

Step1: Recall the wave - speed formula

The speed of light (and electromagnetic waves like radio waves) is given by $c = f\lambda$, where $c$ is the speed of light ($c = 3\times10^{8}\text{ m/s}$), $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $f$. Rearranging the formula gives $f=\frac{c}{\lambda}$.

Step2: Substitute the given values

We know that $\lambda = 50\text{ m}$ and $c = 3\times10^{8}\text{ m/s}$. Substituting these values into the formula $f=\frac{c}{\lambda}$, we get $f=\frac{3\times 10^{8}\text{ m/s}}{50\text{ m}}$.

Step3: Calculate the frequency

$f=\frac{3\times 10^{8}}{50}=6\times10^{6}\text{ Hz}=6000000\text{ Hz}$

Answer:

6000000 Hz