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In the Compton effect, an X-ray photon scatters from a

Chapter 30, Problem 50P

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QUESTION:

Problem 50P

In the Compton effect, an X-ray photon scatters from a free electron. Find the change in the photon’s wavelength if it scatters at an angle of (a) θ = 30.0°, (b) θ = 90.0°, and (c) θ = 180.0” relative to the incident direction.

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QUESTION:

Problem 50P

In the Compton effect, an X-ray photon scatters from a free electron. Find the change in the photon’s wavelength if it scatters at an angle of (a) θ = 30.0°, (b) θ = 90.0°, and (c) θ = 180.0” relative to the incident direction.

ANSWER:

Step 1 of 3:

a)

Here, we have to calculate the change in wavelength of the photon.

.

From Compton scattering formula we know that,

       

       

So, the change in wavelength is .

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