Question

An FM radio station found at 103.1 on the FM dial broadcasts at a frequency of 1.031×108 s−1 (103.1 MHz). What is the wavelength of these radio waves in meters?

a) 2.91×10−3 m
b) 2.91×101 m
c) 2.91×105 m
d) 2.91×10−6 m

Answer 1

The wavelength of radio waves from an FM station broadcasting at 103.1 MHz is approximately 2.91 × 101 m.

Step-by-step explanation:

The question asks to calculate the wavelength of radio waves from an FM radio station broadcasting at a frequency of 103.1 MHz. To find the wavelength, we can use the formula c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency.

The speed of light (c) is approximately 3.00 × 108 m/s, and the given frequency (f) is 1.031 × 108 s−1. Substituting these values into the formula, λ = c / f, we get: λ = (3.00 × 108 m/s) / (1.031 × 108 s−1) which simplifies to approximately 2.91 × 101 m.