Chemistry Practice Problems Wavelength and Frequency Practice Problems Solution: An FM radio station broadcasts at 99.5 MHz. Calcul...

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Solution: An FM radio station broadcasts at 99.5 MHz. Calculate the wavelength of the corresponding radio waves.

Solution

We are being asked to calculate the wavelength of an FM radio station broadcasts at 99.5 MHz.

Wavelength, frequency, and the speed of light are connected by the following equation:

$\overline{){\mathbf{c}}{\mathbf{=}}{\mathbf{\lambda \nu }}}$

c = speed of light, m/s
λ = wavelength, in m
ν = frequency, Hz (Hertz)

We can rearrange the equation to isolate the wavelength (λ):

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