The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y

y = 3×10^8/x

What is the wavelength for radio waves with frequency 3 x 109?
A. 3×10^17m
B. 1×10-1m
C. 3×10-1m
D. 9×10^17

The wavelength for radio waves with frequency 3 x 10⁹ is therefore; Choice (B); 1×10-¹m

The relationship between the wavelength in meters, x, and frequency, y is given by;y = 3×10⁸/x

According to the question;

In essence; we are required to evaluate, x when the frequency, y is equal to 3 × 10⁹.

Therefore;

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We have been given that the inverse variation shows the relationship between wavelength in meters, x, and frequency, y. We are asked to find the wavelength for radio waves with frequency .

To find the required wavelength, we substitute in our given equation and solve for x as:

We can see that both numerator and denominator has 3, so we can cancel it out.

Using quotient rule of exponents , we will get:

Therefore, the wavelength for radio waves would be meters and option B is the correct choice.

answer is x<