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The wave function of an electron confined in a one-dimensional infinite potential well of
width L is
$₁₂(x)=√ √ √ ²/1₁ sin( -),
2 NTX
L
where n is a positive integer. If the electron is in the n = 5 state:
i) Calculate the probability of finding the electron between x = L and x = L.
ii)
Calculate the probability of finding the electron in an interval of width 0.04L located at
= = }L.
x

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