X-rays of wavelength = 0.140 nm are scattered from carbon. Part A What is the Co

Question

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

Part A

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

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

Part B

What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 60.0 ?

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

Part C

What is the Compton wavelength shift for photons detected at angle (relative to the incident beam) of exactly 150 ?

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

Explanation / Answer

A

Compton shift = (h/mc)*[1-cos theta)

Compton Shift = (6.6810^-34/9.1*10^-31*3*10^8) [1-cos 45]

Compton shift = 0.244*10^-11 * 0.292

Compton Shift = 0.07*10^-11 m

B)

Compton shift = (h/mc)*[1-cos theta)

Compton Shift = (6.6810^-34/9.1*10^-31*3*10^8) [1-cos 60]

Compton shift = 0.24*10^-11 * 0.5

Compton Shift = 0.12*10^-11 m

C)

Compton shift = (h/mc)*[1-cos theta)

Compton Shift = (6.6810^-34/9.1*10^-31*3*10^8) [1-cos 150]

Compton shift = 0.244*10^-11 * 1.866

Compton Shift = 455*10^-14 m

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