Question

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = 3x10^8/x What is the wavelength for radio waves with frequency 3 × 10^9?

Answer 1

Answer:

The answer is 0.1.

Step-by-step explanation:

The relationship between wavelength $x$ and frequency$y$ is:

$y=\frac{3*10^8}{x}$.

We solve this equation for wavelength $x$ and get:

$x=\frac{3*10^8}{y}$.

Now when the frequency of radio waves is $3*10^9$, then the wavelenght is:

$x=\frac{3*10^8}{y}=\frac{3*10^8}{3*10^9}=10^{-1}=0.1$.

Thus, when frequency of radio waves is $3*10^9$, then the wavelength is 0.1.