Answer:
wavelength = speed/frequency
Explanation:
Required
Determine which of the options can be used to calculate frequency
The relationship between wavelength, speed and frequency is as follows;
[tex]Frequency = \frac{Wave\ Speed}{Wave\ Length}[/tex] ---- Equation 1
When option (1), (2) and (4) are rearranged, they do not result in the above formula; only option (3) does
Checking option (3)
[tex]Wave\ Length = \frac{Speed}{Frequency}[/tex]
Multiply both sides by Frequency
[tex]Wave\ Length * Frequency = \frac{Speed}{Frequency} * Frequency[/tex]
[tex]Wave\ Length * Frequency = Speed[/tex]
Divide both sides by Wave Length
[tex]\frac{Wave\ Length * Frequency}{Wave\ Length} = \frac{Speed}{Wave\ Length }[/tex]
[tex]Frequency = \frac{Speed}{Wave\ Length }[/tex] --- Equation 2
Comparing equation 1 and 2; both equations are the same.
Hence, option (3) answers the question
