Question

Hospital X-ray generators emit X-rays with wavelength of about 15.0 nanometers (nm), where 1nm=10−9m. What is the energy of a photon of the X-rays? Express your answer to three significant figures and include the appropriate units.

Answer 1

`E=1.32* 10^(-17)\ J`

Step-by-step explanation:

Given that,

The wavelength of x ray,
`\lambda=15\ nm=15* 10^(-9)\ m`

We need to find the energy if a photon on the x-rays. The formula for the energy of the photon is given by :

`E=(hc)/(\lambda)`

`E=(6.63* 10^(-34)* 3* 10^8)/(15* 10^(-9))`

`E=1.32* 10^(-17)\ J`

So, the energy of a photon of the X-rays is
`1.32* 10^(-17)\ J`. Hence, this is the required solution.