Question

1. if a radio station were to increase its frequency from 94.5 mhz to 99.1 mhz, what would happen to the stations wavelength? (hint: frequency and wavelength are inversely proportional to one another.)

wavelength increases

wavelength decreases

wavelength remains constant

frequency decreases

Explanation:

Step1: Recall the relationship

The speed of light $c$ is related to frequency $f$ and wavelength $\lambda$ by the formula $c = f\lambda$. Since $c$ is a constant in a vacuum, $f$ and $\lambda$ are inversely - proportional, i.e., $\lambda=\frac{c}{f}$.

Step2: Analyze the frequency change

The radio - station's frequency increases from $f_1 = 94.5\ MHz$ to $f_2=99.1\ MHz$.

Step3: Determine the wavelength change

As $f$ increases and $c$ is constant, from $\lambda=\frac{c}{f}$, when $f$ goes up, $\lambda$ goes down. So the wavelength decreases.

Answer:

wavelength decreases