Question

If a wave's frequency doubles in the same medium, what are the other

effects on the wave?

Wavelength double and sleep doubles

Wavelength doubles and speed stays the same

Wavelength divided in half and speed doubles

Wavelength divided in half and speed stays the same

Answer 1

Wavelength divided in half and speed stays the same

Step-by-step explanation:

We can use the equation that relates the frequency, the velocity and the wavelength:

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

where
`f` is the frequency,
`v` is the velocity, and
`\lambda` is the wavelength.

Since the wave is in this case always in the same medium, the velocity will not change.

and as we can wee from
`f=(v)/(\lambda)` the frequency and the wavelength are Inversely proportional, this means that if the frequency increases, the the wavelength decreases.

In other words, if the frequency double, the wavelength does the opposite (is divided in half)

you can also see this if you multiply the equacion
`f=(v)/(\lambda)` by 2:

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

re arrenging the right side:

`2f=(v)/((1)/(2)\lambda )`

for the frequency to double, the wavelength must be divided by 2.

the answer is

Wavelength divided in half and speed stays the same