Question

An X-ray scattering from a free electron is observed to change its wavelength by 3.73 pm Part A At what angle to the incident direction does the scattered X-ray move? Express your answer to three significant figures.

Answer 1

From Compton shift,

Lambda = (h/mo c) (1 - cos(theta))

3.73 x 10^-12 = (6.626 x 10^-34/(9.11 x 10^-11 x 3 x 10^8))(1 - cos(theta))

3.73 x 10^-12 = (0.241 x 10^-11)(1 - cos (theta))

1 - cos(theta) = 1.548

Cos(theta) = - 0.548

Theta = 123°

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