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NCERT Class XII Chapter
Dual Nature of Radiation and Matter
Questions With Solutions

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Question : 23
Total: 37
(a) An X-ray tube produces a continuous spectrum of radiation with its short wavelength end at 0.45 Å. What is the maximum energy of a photon in the radiation?
(b) From your answer to (a), guess what order of accelerating voltage (for electrons) is required in such a tube ?
Solution:  
(a) Minimum wavelength corresponds to maximum energy photons.
Emax =
hc
λmin
 =
6.3×10−34×3×108
0.45×10−10
 J
or Emax =
.63×10−34×3×108
0.45×10−10×1.×10−19
 eV = 27. × 103 eV = 27.6 eV
(b) In order to emit photons from the surface of energy 27.6 keV, the incident electrons striking on surface should have higher energy i.e., of the order of 30 keV.
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