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Question

Minimum wavelength of X-rays produced in an X-ray tube is 0.39A0. The accelerating voltage required for electron to produce this radiation is(h=6.62×1034Js)
  1. 21.02kV
  2. 31.82kV
  3. 36.06kV
  4. 30.04kV

A
21.02kV
B
31.82kV
C
36.06kV
D
30.04kV
Solution
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The relationship between de Broglie wavelength (λ) and the momentum (p) of a photon is given by:
λ=hp.
Minimum wavelength of X-rays produced in an X-ray tube is 0.39Ao. The energy of this ray is:

E=hcλ=6.6×1034×3×1081.6×1019×0.39×1010=31.82eV.

The accelerating voltage required for electron to produce this radiation is 31.82eV.
So, the answer is option (B).

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