Question

FM radio stations use different frequencies. For

example, the radio station 93.3 has a
frequency of 93.3 Megahertz (MHz). Your
friend has the following four radio stations
preset on the stereo in her car. Which of these
stations would you expect to have the longest
wavelength? Explain your answer.
89.5 FM
92.5 FM
95.7 FM
101.5 FM

Answer 1

89.5 Hz

Step-by-step explanation:

The relationship between the frequency and the wavelength is given by the following formula:

`\lambda = (c)/(f)\\\\`

where,

f = frequency

c = speed of light

λ = wavelength

Since the speed of light is constant. Therefore the formula suggests an inverse relationship between the frequency and the wavelength. Hence, the station with the lowest frequency will have the longest wavelength.

Therefore, the answer is:

89.5 Hz