Question

An FM radio station broadcasts electromagnetic radiation at a frequency of 103.4 MHz (megahertz; MHz =10⁶s⁻¹). Calculate the wavelength of this radiation. The speed of light is 2.998 x10⁸m/s to four significant digits.

Answer 1

The wavelength of the electromagnetic radiation from an FM radio station broadcasting at 103.4 MHz is approximately 2.90 meters, calculated using the formula c = λ x f, where c is the speed of light and f is the frequency.

Step-by-step explanation:

To calculate the wavelength of the electromagnetic radiation from an FM radio station broadcasting at 103.4 MHz, we use the formula c = λ x f, where c is the speed of light, λ is the wavelength, and f is the frequency of the radiation. In this case, the speed of light c is 2.998 x 10⁸ m/s, and the frequency f is 103.4 MHz, which is equal to 103.4 x 10⁶ Hz.

To find the wavelength λ, we rearrange the formula to λ = c / f. Substituting the values, we have λ = (2.998 x 10⁸ m/s) / (103.4 x 10⁶ Hz), which results in a wavelength of approximately 2.90 meters.

Thus, the wavelength of the radio waves from the FM radio station at 103.4 MHz is around 2.90 meters.