Answered

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 :

znk

Answer:

[tex]\large \boxed{\text{2. 96.4 MHz}}[/tex]

Explanation:

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

fλ = c  

[tex]\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 $\large \boxed{\textbf{96.4 MHz}}$}[/tex]

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