Question

What is the wavelength used by a radio station that broadcasts at a frequency of 920 kHz? (c=3.00 * 10 ^8 m/s)

A. 326 m
B. 276 m
C. 22.6 m
D. 175 m
E. 226 m

Answer 1

To find the wavelength for a 920 kHz radio broadcast, use the speed of light and frequency with the formula λ = c/f. After plugging in the given values and calculating, the wavelength is found to be 326 meters (Option A).

Step-by-step explanation:

To find the wavelength used by a radio station broadcasting at a frequency of 920 kHz, we use the formula for the relationship between wavelength (λ), frequency (f), and the speed of light (c).

The formula is c =λ * f, where c is the speed of light in a vacuum (3.00 * 108 m/s), λ is the wavelength, and f is the frequency.

To solve for wavelength, rearrange the formula to λ = c / f. Substituting the given values, we get:

λ = (3.00 * 108 m/s) / (920 * 103 Hz)

λ = 3.00 * 108 / 9.20 * 105

λ = 3.26 * 102 m

Therefore, the wavelength used by the radio station is 326 meters, which corresponds to answer choice A.