Question

An x-ray tube has an applied voltage of 685 kv. What is the most energetic x-ray photon it can produce? express your answer in electron volts.

Answer 1

The most energetic X-ray photon it can produce is 6.839 * $10^{5}$ eV

An X-ray is an electromagnetic spectrum having wavelengths in the range of 10 pm to 10 nm.

where pm = picometer

            nm = nanometer

An X-ray tube is a vacuum tube that converts electrical input into X-rays.

It is given that an X-ray tube has an applied voltage of 685 kV.

V = 685 * $10^{3}$ V

Photons are particles having energy or movement but it does not have mass or electrical charge.

E is the energy of the photon.

E = q * V

where q is the charge of the photon.

charge of a photon is 1.6 * $10^{-19}$

q = 1.6 *  $10^{-19}$ C

E = q * V

  = 1.6 *  $10^{-19}$ * 658 * $10^{3}$

  = 1096 * $10^{-16}$

E = 1.096 *  $10^{-13}$ J

E = 1.096 * $10^{-13}$ * 6.24 * $10^{18}$

E = 6.839 * $10^{5}$ eV

Hence, the most energetic X-ray photon it can produce is 6.839 * $10^{5}$ eV

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