Question

A wave travels at a constant speed. How does the wavelength

change if the frequency is increased by a factor of 2? Assume
the speed of the wave remains unchanged.

Answer 1

The frequency decreases by a factor of 2

Answer 2

Answer: The wavelength changes by a factor of
`(1)/(2)`

Step-by-step explanation:

The equation of the speed
`v` of a wave is:

`v=\lambda f`

Where:

`v` is the speed, that remains unchanged

`\lambda` is the wavelength

`f` is the frequency

Isolating
`\lambda` we have:

`\lamba=(v)/(f)`

Now, if we increase the frequency by a factor of 2:

`\lambda=(v)/(2f)`

`\lambda=(1)/(2) (v)/(f)` This means the wavelength changes by a factor of
`(1)/(2)`