X-rays with an energy of 300 keV undergo Compton scattering from a target. If the scattered rays are detected at 30 relative to the incident rays, nd (a) the Compton shift at this angle, (b) the energy of the scattered x-ray, and (c) the energy of the recoiling electron.

a)

For this case we know the following values:

So then if we replace we got:

b)

With

And replacing we have:

And then the scattered wavelength is given by:

And the energy of the scattered photon is given by:

c)

Explanation

Part a

For this case we can use the Compton shift equation given by:

For this case we know the following values:

So then if we replace we got:

Part b

For this cas we can calculate the wavelength of the phton with this formula:

With

And replacing we have:

And then the scattered wavelength is given by:

And the energy of the scattered photon is given by:

Part c

For this case we know that all the neergy lost by the photon neds to go into the recoiling electron so then we have this:

When scattered rays are detected

(a) the Compton shift at this angle

(b) the energy of the scattered x-ray

(c) the energy of the recoiling electron.

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i think they are all correct

explanation:

they seem good