The wave function for a quantum particle is given by (r) = Ar between x = 0 and x = 1.00, and (r) = 0 elsewhere. Find (a) the value of the normalisation constant A. (b) the probability that the particle will be found between x = 0.3000 and x = 0.400 (c) the expectation value of the particle's position.

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The wave function for a quantum particle is given by (x) = Ar between x = 0 and x = 1.00,
and (r) = 0 elsewhere.
Find
(a) the value of the normalisation constant A.
(b) the probability that the particle will be found between x = 0.3000 and x = 0.400
(c) the expectation value <x> of the particle's position.
Transcribed Image Text:The wave function for a quantum particle is given by (x) = Ar between x = 0 and x = 1.00, and (r) = 0 elsewhere. Find (a) the value of the normalisation constant A. (b) the probability that the particle will be found between x = 0.3000 and x = 0.400 (c) the expectation value <x> of the particle's position.
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