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

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

Step-by-step explanation:

Given that,

Wavelength = 0.0265 nm

We need to calculate the energy

Using formula of energy

`E=(hc)/(\lambda)`

Where, h = plank constant

c = speed of light

`\lambda` = wavelength

Put the value into the formula

`E=(6.6*10^(-34)*3*10^(8))/(0.0265*10^(-9))`

`E=7.4716*10^(-15)\ J`

We know that,

`1 eV = 1.6*10^(-19)\ J`

The energy in eV

`E=(7.4716*10^(-15))/(1.6*10^(-19))`

`E=46697.5\ eV`

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