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

Answer:

$E=1.32\times 10^{-17}\ J$

Explanation:

Given that,

The wavelength of x ray, $\lambda=15\ nm=15\times 10^{-9}\ m$

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

$E=\dfrac{hc}{\lambda}$

$E=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{15\times 10^{-9}}$

$E=1.32\times 10^{-17}\ J$

So, the energy of a photon of the X-rays is $1.32\times 10^{-17}\ J$. Hence, this is the required solution.