A dental X‑ray typically affects 175 g of tissue and delivers about 4.05 μJ of energy using X‑rays that have wavelengths of 0.0235 nm. What

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A dental X‑ray typically affects 175 g of tissue and delivers about 4.05 μJ of energy using X‑rays that have wavelengths of 0.0235 nm. What is the energy in electron volts of a single photon of these X‑rays?

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Edana Edana 4 years 2021-08-22T17:01:48+00:00 1 Answers 18 views 0

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  1. thugiang
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    2021-08-22T17:03:03+00:00
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    Answer:

    The energy of a single photon of X‑rays is  E_v = 52898.9 \ eV

    Explanation:

    From the question we are told that

        The mass of the tissue is m = 175 \ g = 0.175 \ kg

        The amount of energy delivered is  E_T = 4.05 \mu J = 4.05 *10^{-6} \ J

        The wavelength is  \lambda = 0.0235 \ nm = 0.0235 *10^{-9} \ m

    Generally the energy of a single photon is mathematically represented as

             E = \frac{hc}{\lambda }

    Where h is the Planck’s  constant with values h = 6.63 *10^{-34}\ J\cdot s

    and c is the speed of light with values c = 3.0 *10^{8} \ m/s

          Substituting values

           E = \frac{6.63 *10^{-34} * 3.0*10^{8}}{0.0235 *10^{-9} }

          E = 8.463 *10^{-15} \ J

    Converting this to electron  volt we have

           E_v = 8.464 *10^{-15} * [\frac{1 }{1.6*10^{-19}} ]

          E_v = 52898.9 \ eV

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