Question

Which equations could be used as is, or rearranged to calculate for frequency of a wave? Check all that apply.

1. wavelength = frequency / speed
2. speed = frequency x wavelength
3. wavelength = speed / frequency
4. frequency = speed / wavelength
5. frequency = wavelength over speed
6. speed = wavelength x frequency

Answer 1

The correct answers to the question are 2,3,4 and 6 options respectively.

Step-by-step explanation:

Let us consider a wave which is moving with a speed v in a medium .

Let f and
`\lambda` is the frequency and wavelength of the wave.

The relation between frequency,wavelength and speed is given as -

speed =
`=\ frequency* wavelength`

=
`f* \lambda`

The wavelength of the wave is calculated as -

`wavelength=\ (speed)/(frequency)`

Similarly frequency of the wave can be calculated as-

`frequency=\ (speed)/(wavelength)`

The option 1 is a wrong relation. So, we can not calculate the wavelength through this equation.

The option 2 is a right relation. By rearranging it, we can calculate the frequency of the wave.

The option 3 is a correct relation. So, we can calculate the wavelength through it.

The option 4 is also a correct relation. By rearranging it, we can calculate the wavelength.

The option 5 is a wrong relation.

The option 6 is also a right relation. By rearranging it, we can calculate the wavelength of the wave.

Answer 2

-- Equations #2 and #6 are both the same equation,
and are both correct.

-- If you divide each side by 'wavelength', you get Equation #4,
which is also correct.

-- If you divide each side by 'frequency', you get Equation #3,
which is also correct.
With some work, you can rearrange this one and use it to calculate
frequency.

Summary:

-- Equations #2, #3, #4, and #6 are all correct statements,
and can be used to find frequency.

-- Equations #1 and #5 are incorrect statements.