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Chapter 38: Q7Q (page 1180)

In a Compton-shift experiment, light (in the x-ray range) is scattered in the forward direction, at蠒=0 in Fig. 38-3. What fraction of the light鈥檚 energy does the electron acquire?

Short Answer

Expert verified

None of the fraction of light鈥檚 energy is acquired by the electron.

Step by step solution

01

Describe the change in wavelength in Compton Effect

The change in wavelength in Compton Effect is given by,

螖位=hmc(1-cos蠒)

Here,role="math" localid="1663133543883" 螖位 is the Compton shift, h is the Planck鈥檚 constant, m is the mass of the electron, c is the speed of light, and蠒 is the scattering angle.

02

Find the fraction of the light’s energy does the electron acquire

Consider the following equation.

螖位=hmc1-cos蠒

Here,蠒=0

螖位=hmc1-cos0=hmc1-1=0

As 螖位=0, therefore, the change in wavelength is zero. So, there is no energy transferred to the electron.

Therefore, none of the fraction of light鈥檚 energy is acquired by the electron.

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