You use x-ray photons of wavelength 0.251 nm in a Compton-scattering experiment. At a scattering angle of 14.5°, what is the increase in the wavelength of the scattered x rays compared to the incident x rays?

Arendrogfkl 2022-11-05 Answered
You use x-ray photons of wavelength 0.251 nm in a Compton-scattering experiment. At a scattering angle of 14.5 , what is the increase in the wavelength of the scattered x rays compared to the incident x rays? Express your results in nm.
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Answers (1)

Frances Dodson
Answered 2022-11-06 Author has 17 answers
We have the expression of the Compton effect,
λ f λ i = h m e c ( 1 cos θ )
So, we easily calculate the final wavelength,
λ f 0.251 × 10 9 = 6.626 × 10 34 9.1 × 10 31 × 3 × 10 8 ( 1 cos ( 14.5 ) ) λ f 0.251 × 10 9 = 6.626 × 10 34 27.3 × 10 23 ( 1 0.9681 ) λ f 0.251 × 10 9 = 0.2427 × 10 11 × 0.0319 0.251 × 10 9 = 0.0077 × 10 11 λ f = 0.251077 × 10 9   m
So, the increasing wavelength,
λ = λ f λ i λ = 0.000077 × 10 9   m
But we have to calculate in nm
so, we change m into nm
λ = 0.000077   n m
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