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  3. 3. assume that a particle is confined to a box of

3. Assume that a particle is confined to a box of length L, and that the...

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Chemistry

3. Assume that a particle is confined to a box of length L, andthat the system wave function is

ψ(x)=sqrt(2/L)*sin[(π*x)/(L)]
(1) Is this state an eigenfunction of the momentum operator? Showyour work.
(2) Calculate the average value of the momentum

thatwould be obtained for a large number of measurements. Explain yourresult.
(3) Calculate the probability that the particle is found between0.31 L and 0.35 L.

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