Question

X-rays of wavelength λ = 0.140 nm are scattered from carbon.

A. What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 45.0 degrees?

Express your answer to three significant figures and include the appropriate units.

λ'- λ = ?

B. What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 120 degrees?

Express your answer to three significant figures and include the appropriate units.

λ'- λ = ?

C. What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 180 degrees?

Express your answer to three significant figures and include the appropriate units.

λ'- λ = ?

Answer 1

The compton shift is given by,

where is the Compton wavelength shift, is the wavelenghth of scattered X-ray, is the wavelength of incident X-ray, h is the planck's constant, me is the mass of electron, c is the velocity of light and is the scattering angle (angle between the scattered X-ray and the hoizontal axis).

But

where is a constant called Compton wavelength.Therefore

Given the wavelength of scattered X-ray = 0.140nm = 0.140 x 10-9m.

(A) Here = 45

(B) Here = 120

(C) Here = 180