Unformatted text preview: most likely to be found. e) Sketch the probability densities (electron clouds) found in part (c) and label where the electron is most likely to be found. f) What are the physical interpretation of the wavefunctions in part (a), the radial probability densities in part (b), and the probability densities in part (c)? g) Where is the electron most likely to be found in the n=2 state? 3. The wavefunction for a particle is given by t i x Ae t x ω α − = Ψ 2 ) , ( . a) Describe the physical significance of ) , ( t x Ψ . b) Describe the physical significance of 2 ) , ( t x Ψ . c) Write an expression for the probability of finding the electron in the interval (2 α , 2 α ). Leave you answer in terms of the constant A. Do not evaluate your expression! d) If the wavefunction ) , ( t x Ψ was normalized, what would be the probability of finding the particle in the interval ) , ( +∞ −∞ ? 4. Calculate the uncertainty product ∆ r ∆ p for the 1s electron of hydrogen....
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 Spring '11
 Luna
 probability densities

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