After a 0.800-nm x-ray photon scatters from a free electron, the electron recoils at 1.40 xx 10^6 m/s. (b) What is the scattering angle?

Liberty Page 2022-09-25 Answered
After a 0.800-nm x-ray photon scatters from a free electron, the electron recoils at 1.40 × 10 6   m / s. What is the scattering angle?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Davian Nguyen
Answered 2022-09-26 Author has 9 answers
We know Compton shift is given by,
λ = h m e c ( 1 cos θ )
Solving for θ we get,
( 1 cos θ ) = m e c λ h θ = cos 1 ( 1 m e c λ h )
Substitute λ as 0.003 nm, h as 6.626 × 10 34   J s as 9.1 × 10 31   k g, and c as 3 × 10 8   m s 1
θ = cos 1 ( 1 ( 9.1 × 10 31   k g ) ( 3 × 10 8 m s 1 ) ( 0.003 n m ) ( 6.626 × 10 34   J s ) ) = cos 1 ( 0.236 ) = 103.3
Thus the angle of scattering will be 103.3 .
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions