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I have to clue how to do this one ! An X ray photon of wavelength lambda I = 2.3

ID: 2113611 • Letter: I

Question

I have to clue how to do this one !

An X ray photon of wavelength lambda I = 2.35 pm is directed along the x-axis and collides with a stationary atom producing a scattered photon at an angle of pi/2 radians to the x-axis and a scattered electron. Assuming no momentum was transferred to the atom, the scattered electron has momentum of magnitude: [(h/ lambda I)2 - (h/ lambda I + h/mec))2]1/2 h/ lambda I [(h/ lambda I)2 + (h/( lambda I + h/mec))2]1/2 2h/lambda1 [(h/ lambda I)2 + (h/( lambda I - h/mec))2]1/2

Explanation / Answer

C.


we can apply conservation of momentum to find velocity along x axis.... for y axis applying conservation of energy we can obtain the y component h/ lamda1+h/mc and for magnitude we have to sqr them and add them