Question

Amateur radio operators in the United States can transmit on several bands. One of those bands consists of radio waves with a wavelength near 20.m . Calculate the frequency of these radio waves. Be sure your answer has the correct number of significant digits.

Answer 1

Answer:

1.5×10⁷ Hz

Explanation:

From the question given above, the following data were obtained:

Wavelength of radio wave (λ) = 20 m

Frequency (f) =?

Frequency and wavelength of a wave are related by the following equation:

v = λf

Where:

'v' is the velocity of electromagnetic wave.

'λ' is the wavelength

'f' is the frequency.

With the above formula, we can obtain the frequency of the radio wave as illustrated below:

Wavelength of radio wave (λ) = 20 m

Velocity (v) = 3×10⁸ m/s

Frequency (f) =?

v = λf

3×10⁸ = 20 × f

Divide both side by 20

f = 3×10⁸ / 20

f = 1.5×10⁷ Hz

Thus the frequency of the radio wave is 1.5×10⁷ Hz