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A particle is in the first excited ( $n=2)$ state of a onedimensional box that has length $L$. (The box has one end at the origin and the other end on the positive $x$ axis.) . Find \left\langle x^2\right\rangle$.
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A particle is in the first excited state of a onedimensional box that has length $L$ i.e, $n=2$

The box has one end at the origin and the other end on the positive xaxis

We have to find $\langle{x^2}\rangle$.
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