X-rays with an energy of 265 kev undergo compton scattering from a target. if the scattered rays are deflected at 41.0° relative to the direction of the incident rays, find each of the following. (a) the compton shift at this angle (b) the energy of the scattered x-ray (c) the kinetic energy of the recoiling electron

The Compton Shift in wavelength when the photons are scattered is given by the following equation:

    (1)

Where:

is a constant whose value is given by , being the Planck constant, the mass of the electron and the speed of light in vacuum.

the angle between incident phhoton and the scatered photon.

We are told the scattered X-rays (photons) are deflected at :

  (2)

  (3)

But we are asked to express this in , so:

 (4)

The initial energy of the photon is given by:

     (5)

From this equation (5) we can find the value of :

   (6)

   (7)

Knowing the value of and , let's find :

Then:

 (8)

 (9)

Knowing the wavelength of the scattered photon  , we can find its energy :

   (10)

   (11) This is the energy of the scattered photon

If we want to know the kinetic energy of the recoiling electron , we have to calculate all the energy lost by the photon in the wavelength shift, which is:

 (12)

Finally we obtain the kinetic energy of the recoiling electron:

layers of the earth affect the waves and these effects are seen on instruiments such as seimometers

d. platinum would have the greatest temperature increase because it has the lowest specific heat.