Question

What is the wavelength if frequency of radiation is `5.10 * 10^14` `Hz`?

Answer 1

Data:-

Frequency`=nu=5.10*10^14Hz`
Speed of light`=c=3*10^8m/s`

Wavelength`=lamda=??`

Sol:-

We know that:

`c=lamdanu`

`implies lamda=c/nu=(3*10^8)/(5.10*10^14)=5.88235*10^-7`

`implies lamda=5.88235*10^-7`

Hence the wavelength of the radiation is `5.88235*10^-7`

Answer 2

`c` `=` `nuxxlambda`

Explanation:

So `lambda` `=` `c/nu` `=` `(3.00 xx 10^8 mcancel(s^-1))/(5.1xx10^14cancel(s^-1))` `=??`

Here, we note that `"Hertz"` has units of `s^-1`, inverse seconds. We get an answer with units of `m`, which is quite appropriate for a wavelength. So the answer is in the `mum` region. Can you find out what sort of radiation this is?