A particle is in the ground state of a box of length L. Find the probability of

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A particle is in the ground state of a box of length L. Find the probability of finding the particle in the interval ∆x = 0.002L at

(a) x = L/2,

(b) x = 2L/3,

(c) x = L. (Since ∆x is very small, you need not do any integration because the wave function is slowly varying.)

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