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EastWind [94]
3 years ago
12

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 0.02

35 nm. What is the energy in electron volts of a single photon of these X‑rays?
Physics
1 answer:
lutik1710 [3]3 years ago
3 0

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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