If the wavelength of K X-ray from Cu is 1.337 x 10^-10m, then the energy difference between two levels from which transition results will be:
Correct answer: E. 9.31 keV
- A. 9.03 KeV
- B. 9.90 KeV
- C. 90.3 KeV
- D. 8.03 KeV
- E. 9.31 keV
Explanation
he energy difference between two levels can be calculated using the formula:ΔE = hc/λwhere h is Planck's constant, c is the speed of light, and λ is the wavelength.Substituting the given values:ΔE = (6.626 x 10-34 J s) x (3.0 x 108 m/s) / (1.337 x 10-10 m)ΔE = 1.49 x 10-15 JConverting the energy to keV:ΔE = (1.49 x 10-15 J) / (1.602 x 10-16 J/keV) = 9.31 keVTherefore, the correct answer is E) 9.31 KeV.
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Atoms emit or absorb light at specific wavelengths because electrons occupy quantized energy levels and change levels by absorbing or releasing photons. The topic covers emission and absorption spectra, spectral series, hydrogen’s line spectrum, energy-level transitions, and the relation between wavelength, frequency and photon energy.
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