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cse • paper_2 • quantum_mechanicscse-2024-subject-05-002

Quantum wavefunction — UPSC CSE 2024 Physics PYQ

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A particle limited to the x-axis has the wave function \phi(x) = bx^2 between x = 0 and x = 2; the wave function \phi(x) = 0 elsewhere. (i) Find the probability that the particle can be found between x = 1.0 and x = 1.5. (ii) Find the expectation value <x> of the particle position.

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