Respuesta :
The energy in joules of an x-ray photon with wavelength 1.00x10-10 m is 1.99* 10^-15J.
What is energy ?
Scientists define energy as the ability to do work. Modern civilization is possible because people have learned how to change energy from one form to another and then use it to do work.
The energy to electron volts is 1.24*10^4 eV.
Wavelength [tex]$\lambda=1.00 \times 10^{-10} \mathrm{~m}$[/tex]
Speed of light [tex]$c=3.0 \times 10^8 \mathrm{~m} / \mathrm{s}$[/tex]
P1anck's constant [tex]$h=6.626 \times 10^{-34} \mathrm{Js}$[/tex]
a) The energy of an X-rays is
[tex]$\begin{aligned}E & =\frac{h c}{\lambda} \\& =\frac{\left(6.626 \times 10^{-34} \mathrm{Js}\right)\left(3.0 \times 10^8 \mathrm{~m} / \mathrm{s}\right)}{\left(1.00 \times 10^{-10} \mathrm{~m}\right)} \\& =1.9878 \times 10^{-15} \mathrm{~J} \\& =1.99 \times 10^{-15} \mathrm{~J}\end{aligned}$[/tex]
b)
Convert energy of an electron [tex]$\mathrm{J}$[/tex] to[tex]$\mathrm{eV}$[/tex],
[tex]$\begin{aligned}E & =1.9878 \times 10^{-15} \mathrm{~J}\left(\frac{1 \mathrm{eV}}{1.60 \times 10^{-19} \mathrm{~J}}\right) \\& =1.24 \times 10^4 \mathrm{eV}\end{aligned}$[/tex]
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