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5. A particle is confined to a region 0 <*< a and has a wave function of the
form
V(x) = Nx(a – x),
where N is a constant.
(a) Normalize the wave function and find the average position of the
particle.
(b) Show that the uncertainties in the position and momentum of the
particle are given by
Ar =
a.
28
and Ap = V10

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