(a) A particle of mass $m$ is confined in a one-dimensional infinite…

Previous year question for Advanced Engineering Physics.

Question

(a) A particle of mass $m$ is confined in a one-dimensional infinite potential box of length $L$. Derive the allowed energy levels and the corresponding normalized wave functions.

(b) In Compton experiment, the wavelength of X-ray radiation scattered at an angle of $45^{\circ}$ is $0.022\text{ \AA}$. Calculate the wavelength of the incident X-ray.

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