Question

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

Answer 1

Answer:

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

Explanation:

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

fλ = c  

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