Question

A 50 keV X-ray is scattered through an angle of 90°. What is the
energy of the X-ray after Compton scattering?​

Answer 1

Answer:θ= 90  

∘

 

so, cosθ=0

Δλ=  

m  

e

​  

C

h

​  

(1−cosθ)=  

m  

e

​  

C

h

​  

(1−0)=  

m  

e

​  

C

h

​  

 

percentage of change in wavelength  

λ  

i

​  

 

Δλ

​  

×100 %     (Δλ=  

m  

e

​  

C

h

​  

)

=  

hc/energy

h/m  

e

​  

c

​  

×100    (energy=  

λ

hc

​  

)

=  

m  

e

​  

C  

2

 

energy

​  

×100

=  

9×10  

−31

×3×10  

8

×3×10  

8

 

50×10  

3

×1.6×10  

−19

×100

​  

 

=1×10

=10%

Explanation: