Question

The FM station CHEM broadcasts music at 98.7 MHz. Find the

wavelength of these waves in m. Mega = 106

Answer 1

To find the wavelength of the FM waves, we can use the equation:

Wavelength = Speed of Light / Frequency

Given:
Frequency (f) = 98.7 MHz = 98.7 x 10^6 Hz (since Mega = 10^6)
Speed of Light (c) = 3 x 10^8 m/s

Now, we can substitute the given values into the equation to find the wavelength:

Wavelength = (3 x 10^8 m/s) / (98.7 x 10^6 Hz)

Simplifying:

Wavelength = 3 / 98.7 m

Calculating:

Wavelength ≈ 0.0304 m

Therefore, the wavelength of the FM waves is approximately 0.0304 meters.

Step by step solutions:
1. Use the equation Wavelength = Speed of Light / Frequency to find the wavelength.
2. Substitute the given values into the equation.
3. Simplify the equation if necessary.
4. Calculate the wavelength.