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The energy of an X-ray photon of wavelength 1Ȧ is

(h = 6.6 × 10-34 Js)


1. 24.6 keV
2. 6.1 keV
3. 12.3 keV
4. 1.2 keV

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Best answer
Correct Answer - Option 3 : 12.3 keV

Concept:

Photon: A photon is a tiny light particle that comprises waves of electromagnetic radiation.

  • James Maxwell observed photons are just electric fields traveling through space.
  • Photons have no charge and no resting mass.
  • It travels at the speed of light. 

The energy of Photon is given by:

E = h ν 

In terms of wavelength, it is given by 

\(E = \frac {hc}{λ}\)

Where h is Planck's constant, and ν is the frequency of the Electromagnetic wave associated with the photon, λ is the wavelength of the light.

h = 6.626 × 10-34 m2 kg/s;

Calculation:

Given λ = 5890 A° = 5890 × 10-10 m, c = 3 × 108 m/s;

The energy of the photon will be 

\(E = \frac {6.626 × 10^{-34}× 3 × 10^8}{1 × 10^{-10}}\)

⇒ E = 1.987 × 10-15 J;

We have 1 eV = 1.602 × 10-19 J;

⇒ E = 12.4 keV.

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