Question

A dental X‑ray typically affects 175 g of tissue and delivers about 3.75 μJ of energy using X‑rays that have wavelengths of 0.0265 nm. What is the energy in electron volts of a single photon of these X‑rays?

Answer 1

Answer:

The energy in electron volts of a single photon of these X‑rays is 46697.5 eV.

Explanation:

Given that,

Wavelength = 0.0265 nm

We need to calculate the energy

Using formula of energy

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

Where, h = plank constant

c = speed of light

$\lambda$ = wavelength

Put the value into the formula

$E=\dfrac{6.6\times10^{-34}\times3\times10^{8}}{0.0265\times10^{-9}}$

$E=7.4716\times10^{-15}\ J$

We know that,

$1 eV = 1.6\times10^{-19}\ J$

The energy in eV

$E=\dfrac{7.4716\times10^{-15}}{1.6\times10^{-19}}$

$E=46697.5\ eV$

Hence, The energy in electron volts of a single photon of these X‑rays is 46697.5 eV.