High School

The wavelength of a particular color of red light is 697 nm. (1 nm = [tex]10^{-9}[/tex] m)

A. Calculate the frequency of this color in s⁻¹.

B. A local FM radio station broadcasts at a frequency of 98.1 MHz. Calculate the wavelength at which it is broadcasting.

Answer :

Final answer:

The wavelength at which the FM radio station is broadcasting is approximately 3.06 meters.

Explanation:

The wavelength of a particular color of red light is 697 nm. To calculate the wavelength at which the FM radio station is broadcasting, we can use the formula:

c = fλ

where c is the speed of light (3.00 × 10^8 m/s) and f is the frequency. Rearranging the formula to solve for wavelength, we get:

λ = c / f

Converting the frequency of the radio station from MHz to Hz:

f = 98.1 × 10^6 Hz

Substituting the values into the formula:

λ = (3.00 × 10^8 m/s) / (98.1 × 10^6 Hz)

λ ≈ 3.06 m

Therefore, the FM radio station is broadcasting at a wavelength of approximately 3.06 meters.

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