For a particle in a box of length L sketch the wavefunction corresponding to the state with n = 1 and on the same graph sketch the corresponding probability density. Without evaluating any integrals, explain why for this wavefunction the expectation value of x2 is not equal to (L/2)2.

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For a particle in a box of length L sketch the wavefunction corresponding to the state with n = 1 and on the same graph sketch the corresponding probability density. Without evaluating any integrals, explain why for this wavefunction the expectation value of x2 is not equal to (L/2)2.

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