Question

What is the frequency of an X-ray with wavelength 0.13 nm ? Assume that the wave travels in free space. Express your answer to two significant figures and include the appropriate units.

Answer 1

Frequency,
`f=2.30* 10^(18)\ Hz`

Step-by-step explanation:

Given that,

The wavelength of the x-rays,
`\lambda=0.13\ nm=0.13* 10^(-9)\ m`

We need to find the frequency of an x-ray. All electromagnetic wave travel with a speed of light. It is given by the formula as :

`c=f\lambda`

f is the frequency

`f=(c)/(\lambda)\\\\f=(3* 10^8)/(0.13* 10^(-9))\\\\f=2.30* 10^(18)\ Hz`

So, the frequency of an x-ray is
`2.30* 10^(18)\ Hz`. Hence, this is the required solution.