Question

An X-ray tube emits X-rays with a wavelength of 1.0 x 10-11 m. Calculate the energy, in electron volts, that the X-rays possess.

_____ eV

Answer 1

Answer on Question 60455, Physics, Atomic and Nuclear Physics

Question:

An X-ray tube emits X-rays with a wavelength of $1.0 \cdot 10^{-11} \, \text{m}$. Calculate the energy, in electron volts, that the X-rays possess.

Solution:

There is an inverse relationship between the energy of the X-rays and its wavelength:

$$E = \frac{hc}{\lambda},$$

here, $h = 4.135 \cdot 10^{-15} \, \text{eV} \cdot \text{s}$ is the Planck's constant, $c$ is the speed of light, $\lambda$ is the wavelength of the X-rays.

Then, from this formula we can calculate the energy that the X-rays possess:

$$E = \frac{hc}{\lambda} = \frac{4.135 \cdot 10^{-15} \, \text{eV} \cdot \text{s} \cdot 3 \cdot 10^{8} \, \frac{\text{m}}{\text{s}}}{1.0 \cdot 10^{-11} \, \text{m}} = 124,05 \cdot 10^{3} \, \text{eV}.$$

Answer:

$$E = 124,05 \cdot 10^{3} \, \text{eV}.$$

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