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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=6.62×10−34Js)

A
21.02kV
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B
31.82kV
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C
36.06kV
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D
30.04kV
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Solution

## The correct option is B 31.82kVThe 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=6.6×10−34×3×1081.6×10−19×0.39×10−10=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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