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FM radio station WQOK broadcasts at a frequency of 97.5 MHz. FM radio station WRAL broadcasts at a frequency of 101.5 MHz. Which station's radio signal has the longer wavelength?

Answer :

Fm radio station wral broadcasts at a frequency of 97.5 hertz has higher wavelength

Frequency of radio station 1 = 97.5 hertz

Frequency of radio station 2 = 101.5 hertz

Frequency = Speed of light/Wavelength

Wavelength = Speed of light/Frequency

f = c/λ

λ = c/f

λ(1) = 3 x 10^8/97.5 = 0.030 x 10^8 m

λ(2) = 3 x 10^8/101.5 = 0.029 x 10^8 m

So, Fm radio station wral broadcasts at a frequency of 97.5 hertz has higher wavelength than Fm radio station WRAL broadcasts at a frequency of 101.5 hertz

Also we can understand from this that radio wave with greater frequency has less wavelength and lesser frequency has more wavelength because they are inversely proportional to each other

Learn more about Wavelength here:

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Final answer:

The FM radio station WQOK, which broadcasts at the lower frequency of 97.5 MHz, has the longer wavelength compared to WRAL, which broadcasts at a higher frequency of 101.5 MHz.

Explanation:

In physics, the relationship between frequency and wavelength for electromagnetic waves is governed by the formula c = λf, where c is the speed of light in a vacuum (approximately 299,792,458 meters per second), λ is the wavelength, and f is the frequency.

When comparing two FM radio stations to determine which has the longer wavelength, we can use this formula knowing that the wavelength is inversely proportional to the frequency.

Since WQOK broadcasts at a frequency of 97.5 MHz and WRAL broadcasts at a frequency of 101.5 MHz, we can conclude that WQOK has the lower frequency and therefore the longer wavelength. This implies that WRAL, with its higher frequency, has the shorter wavelength.