Question

A radio station transmits a signal with a wavelength of 3.11 meters. At what frequency is

the radio station broadcasting?
1. 9.65 × 107 MHz
2. 96.5 MHz
3. 0.965 MHz
4. 965 MHz

Answer 1

`\large \boxed{\text{2. 96.4 MHz}}`

Step-by-step explanation:

The formula relating the frequency (f) and wavelength (λ) is

fλ = c

`\begin{array}{rcl}f * \text{3.11 m}& =& 2.998 * 10^(8) \text{ m$\cdot$s$^(-1)$}\\f & = & \frac{2.998 * 10^(8) \text{ s$^(-1)$}}{3.11}\\\\& = &9.64 * 10^(7)\text{ s}^(-1)\\& = &\text{96.4 $* 10^(6)$ Hz}\\& = &\textbf{96.4 MHz}\\\end{array}\\\text{The radio station is broadcasting at a frequency of $\large \boxed{\textbf{96.4 MHz}}$}`