Question

Question #6b8f7

Answer 1

The wavelength would be twice as long if the frequency is halved.
In this case, the new wavelength is 3.75 m

Explanation:

Wavelength and frequency are inversely related. When one increases by a certain factor, the other must decrease by that same factor.

We can start from the fact that frequency x wavelength equals the velocity of the wave. This is true for both mechanical and electromagnetic waves.

So, in the case of the above wave, we take the speed of the wave as `c` (the speed of light). Then

`lambda = (3xx10^8)/ f = (3xx10^8)/ (1.6 xx10^8) = 1.875 m`

Now, if the frequency is halved,

`lambda = (3xx10^8)/ f = (3xx10^8)/ (8.0 xx10^7) = 3.75 m`