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x-Rays of wavelength 0.20nm are scattered by a free electron. the change in the

ID: 1402774 • Letter: X

Question

x-Rays of wavelength 0.20nm are scattered by a free electron. the change in the wavelength of the x-Rays is observed to be 2.0 x 10^-12m at a certain scattering angle measured relative to the incoming x-ray direction. what is the scattering angle of the x-Rays ? (melectron= 9.11 x 10^-31kg, c = 3 x 10^8 m/s , h = 6.626 x 10^-34 J s) x-Rays of wavelength 0.20nm are scattered by a free electron. the change in the wavelength of the x-Rays is observed to be 2.0 x 10^-12m at a certain scattering angle measured relative to the incoming x-ray direction. what is the scattering angle of the x-Rays ? (melectron= 9.11 x 10^-31kg, c = 3 x 10^8 m/s , h = 6.626 x 10^-34 J s) x-Rays of wavelength 0.20nm are scattered by a free electron. the change in the wavelength of the x-Rays is observed to be 2.0 x 10^-12m at a certain scattering angle measured relative to the incoming x-ray direction. what is the scattering angle of the x-Rays ? (melectron= 9.11 x 10^-31kg, c = 3 x 10^8 m/s , h = 6.626 x 10^-34 J s)

Explanation / Answer

Let A be the angle.

change in wavelength = (h/mc) * (1-cosA)
2.0 / 10 ^ 12 = ( 6.626 * 10^31 ) / ( 10^34 * 3*10^8 * 9.11 ) = (2.424 * 10^-12 ) * (1-CosA)

2.0 / 2.424 = 1-cosA

cosA = 0.8249
A = ~325.58 degrees