If X-rays with a wavelength of 4.50 × 10 − 12 m are used in a Compton Effect experiment and are scattered at an angle of 53.0 ∘ . What is the wavelength of the scattered radiation?

Question

If X-rays with a wavelength of   4.50  ×      10          −      12       m are used in a Compton Effect experiment and are scattered at an angle of       53.0    ∘  . What is the wavelength of the scattered radiation?

Adelaide Kemp · Accepted Answer

Given that Wavelength of the X-rays is   λ  =  4.50  ×      10          −      12      and Scattering angle is   ϕ  =      53.0    ∘  Now for compton effect       λ    ′    −  λ  =      λ    c    (  1  −  cos  ⁡  ϕ  )Where       λ    ′    = Wavelength of scattered photon or radiation  λ  = Wavelength of incident ptoton or radiation(in this case X−rays)      λ    c    =  2.46  ×      10          −      12        ϕ  = scattering angleTherefore from equation we have      λ    ′    =  λ  +      λ    c    (  1  −  cos  ⁡  ϕ  )        λ    ′    =  4.50  ×      10          −      12           m  +  2.46  ×      10          −      12        (  1  −  cos  ⁡      53    ∘    )    ⇒      λ    ′    =  4.50  ×      10          −      12        m  +  0.97  ×      10          −      12        m        λ    ′    =  5.47  ×      10          −      12        m

If X-rays with a wavelength of 4.50 xx 10^(12) m are used in a Compton Effect experiment and are scattered at an angle of 53.0°, the wavelength of the scattered radiation is

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