A photon of wavelength 18.0 pm is scattered through an angle of 120° by a stationary electron. What is the wavelength of the scattered photon? (A) 19.2 pm (B) 20.4 pm (C) 21.6 pm (D) 22.9 pm

Respuesta :

Answer:

(C) 21.6 pm

Explanation:

[tex]\lambda_i[/tex]= Initial wavelength = 18 pm

[tex]\lambda_f[/tex]= Final wavelength

mc² = Eloectron rest mass = 0.511 MeV

h = Planck's constant

c = Speed of light

hc = 1240 eV nm

[tex]\Delta \lambda=\lambda_f-\lambda_i=\frac{hc}{mc^2}(1-cos\theta)\\\Rightarrow \lambda_f-18=\frac{1240}{0.511}(1-cos120)\\\Rightarrow \lambda_f-18=3.63\\\Rightarrow \lambda_f=3.63+18\\\Rightarrow \lambda_f=21.63[/tex]

∴ Wavelength of the scattered photon is 21.63 pm

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