Question

Which equation could be rearranged to calculate the frequency of a wave?

wavelength = frequency/speed
frequency = wavelength/speed
wavelength = speed/frequency
frequency = speed x wavelength​

Answer 1

wavelength = speed/frequency

Step-by-step explanation:

Required

Determine which of the options can be used to calculate frequency

The relationship between wavelength, speed and frequency is as follows;

---- 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)

Multiply both sides by Frequency

Divide both sides by Wave Length

--- Equation 2

Comparing equation 1 and 2; both equations are the same.

Hence, option (3) answers the question

Answer 2

wavelength = speed/frequency

Step-by-step explanation:

Required

Determine which of the options can be used to calculate frequency

The relationship between wavelength, speed and frequency is as follows;

`Frequency = (Wave\ Speed)/(Wave\ Length)` ---- 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)

`Wave\ Length = (Speed)/(Frequency)`

Multiply both sides by Frequency

`Wave\ Length * Frequency = (Speed)/(Frequency) * Frequency`

`Wave\ Length * Frequency = Speed`

Divide both sides by Wave Length

`(Wave\ Length * Frequency)/(Wave\ Length) = (Speed)/(Wave\ Length )`

`Frequency = (Speed)/(Wave\ Length )` --- Equation 2

Comparing equation 1 and 2; both equations are the same.

Hence, option (3) answers the question