For an electron in a one-dimensional box of width L (x lies between 0 and L), (a)Write down its wavefunction and the allowed energy. (b)If the electron is in a superposition of the ground state and second excited state, write down the wavefunction and compute the probability of finding the electron at 1/6 ?. (Don’t forget to normalize it!)

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For an electron in a one-dimensional box of width L (x lies between 0 and L),

(a)Write down its wavefunction and the allowed energy.

(b)If the electron is in a superposition of the ground state and second excited state, write down the wavefunction and compute the probability of finding the electron at 1/6 ?. (Don’t forget to normalize it!)

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