Question

# The minimum wavelength X-ray produced in an X-ray tube operating at 18 kV is compton scattered at 45∘ (by a target). Find the wavelength of scattered X-ray.

A
68.8 pm
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B
68.08 pm
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C
69.52 pm
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D
None of these
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Solution

## The correct option is C 69.52 pmIf electrons are accelerated to a velocity v by a potential difference V and then allowed to collide with a metal target, the minimum wavelength is given by:λmin=1240∗10−918∗103=68.8∗10−12mThe change in wavelength in compton scattering is given by:△λ=2.4∗10−12(1−cosϕ)=2.4∗10−12(1−.7)=.72∗10−12mSo, the wavelength of scattered X-ray is given by:λ′min=(68.8+.72)∗10−12m=69.52∗10−12m.So, the answer is option (C).

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