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?

Respuesta :

Answer:

The answer is 0.1.

Step-by-step explanation:

The relationship between wavelength [tex]x[/tex] and frequency[tex]y[/tex] is:

[tex]y=\frac{3*10^8}{x}[/tex].

We solve this equation for wavelength [tex]x[/tex] and get:

[tex]x=\frac{3*10^8}{y}[/tex].

Now when the frequency of radio waves is [tex]3*10^9[/tex], then the wavelenght is:

[tex]x=\frac{3*10^8}{y}=\frac{3*10^8}{3*10^9}=10^{-1}=0.1[/tex].

Thus, when frequency of radio waves is [tex]3*10^9[/tex], then the wavelength is 0.1.

Answer:

B

Step-by-step explanation: