Answer:
The energy of a single photon of X‑rays is [tex]E_v = 52898.9 \ eV[/tex]
Explanation:
From the question we are told that
The mass of the tissue is [tex]m = 175 \ g = 0.175 \ kg[/tex]
The amount of energy delivered is [tex]E_T = 4.05 \mu J = 4.05 *10^{-6} \ J[/tex]
The wavelength is [tex]\lambda = 0.0235 \ nm = 0.0235 *10^{-9} \ m[/tex]
Generally the energy of a single photon is mathematically represented as
[tex]E = \frac{hc}{\lambda }[/tex]
Where h is the Planck's constant with values [tex]h = 6.63 *10^{-34}\ J\cdot s[/tex]
and c is the speed of light with values [tex]c = 3.0 *10^{8} \ m/s[/tex]
Substituting values
[tex]E = \frac{6.63 *10^{-34} * 3.0*10^{8}}{0.0235 *10^{-9} }[/tex]
[tex]E = 8.463 *10^{-15} \ J[/tex]
Converting this to electron volt we have
[tex]E_v = 8.464 *10^{-15} * [\frac{1 }{1.6*10^{-19}} ][/tex]
[tex]E_v = 52898.9 \ eV[/tex]
