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Find the direction of propagation of the scattered

Chapter 30, Problem 58P

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QUESTION:

Problem 58P

Find the direction of propagation of the scattered electron in Problem 51, given that the incident X-ray has a wavelength of 0.525 nm and propagates in the positive x direction.

Problem

An X-ray scattering from a free electron is observed to change its wavelength by 3.13 pm. At what angle to the incident direction does the scattered X-ray move?

Questions & Answers

QUESTION:

Problem 58P

Find the direction of propagation of the scattered electron in Problem 51, given that the incident X-ray has a wavelength of 0.525 nm and propagates in the positive x direction.

Problem

An X-ray scattering from a free electron is observed to change its wavelength by 3.13 pm. At what angle to the incident direction does the scattered X-ray move?

ANSWER:

Step 1 of 2:-

Here, we have to find the direction of the scattered electron.

Given that,

.

From Compton scattering formula we know that,

       

                         

.

So, the angle after collision will be .

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