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cse • paper_2 • quantum_mechanicscse-2002-subject-05-002

De Broglie wavelength — UPSC CSE 2002 Physics PYQ

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(i) The wave function of a particle is . \psi(x) = A \exp \left( -\frac{x^2}{a^2} + i k_0 x \right) Find the expectation values of position (x) and momentum (p) for the particle. (ii) A 200 eV increase in the energy of an electron changes its De Broglie wavelength by a factor of two. Calculate the initial De Broglie wavelength of the electron.

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