Question

X-rays with an initial wavelength of 0.105 nm undergo Compton Scattering from an aluminium
target. Find the largest wavelength found in the scattered X-rays. (ANS: 0.110 nm)

Answer 1

Answer on Question #43163-Physics-Nuclear Physics

X-rays with an initial wavelength of 0.105 nm undergo Compton Scattering from aluminum target. Find the largest wavelength found in the scattered X-rays. (ANS: 0.110 nm)

Solution

For Compton Scattering we used formula

$$\lambda' - \lambda = \frac{h}{mc} (1 - \cos \phi) = \lambda_c (1 - \cos \phi).$$

Solve for $\lambda'$:

$$\lambda' = \lambda + \lambda_c (1 - \cos \phi).$$

The largest $\lambda'$ corresponds to $\phi = 180{}^\circ$.

$$\lambda' = \lambda + 2\lambda_c = 0.105 \, \mathrm{nm} + 2 \cdot 2.42 \cdot 10^{-3} \, \mathrm{nm} = 0.110 \, \mathrm{nm}.$$

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