The Wavelength of FM Radio Waves

What is the wavelength of FM radio waves found on the FM dial at 101.5?

Is the wavelength of these radio waves in meters?

Answer:

The FM radio station found at 101.5 on the FM dial broadcasts radio waves with a wavelength of approximately 2.96 meters.

The FM radio station broadcasting at 101.5 on the FM dial operates at a frequency of 101.5 MHz. To determine the wavelength of the radio waves it emits, we need to use the relationship formula for electromagnetic waves, which is c = f × λ.

Here, 'c' represents the speed of light (about 3 × 10⁸ m/s), 'f' is the frequency of the station (101.5 × 10⁶ Hz), and 'λ' signifies the wavelength we are looking to find. Rearranging the formula to solve for wavelength, we get: λ = c / f.

By substituting the values for the speed of light and the frequency of the station into the formula, we calculate the wavelength to be approximately 2.96 meters. Therefore, the FM radio waves found at 101.5 on the FM dial have a wavelength of around 2.96 meters.

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