Let's say your favorite radio station is "at 99.9 on the FM dial", which means it is broadcast using electromagnetic waves with a FREQUENCY of 99.9 MHz (megahertz, or millions hertz). What WAVELENGTH do these waves have

The wavelength of the wave is 3.003 m

Explanation:

Given:

Frequency of the EM waves (f) = 99.9 MHz

Speed of the EM waves is equal to speed of light. So,

First let us convert the frequency from MHz to Hz using the conversion factor.

We know, 1 MHz = 10⁶ Hz.

∴ 99.9 MHz = 99.9 × 10⁶ Hz

We know that, speed of a wave is related to its frequency and wavelength as:

Speed (v) = Frequency (f) × Wavelength (λ)

Now, rewriting the above equation in terms of 'λ', we get:

Now, plug in the given values and solve for 'λ'. This gives,

Therefore, the wavelength of the wave is 3.003 m.