INTERACTIVE EXAMPLE
© Copyright, Department of Physics, University of Illinois at Urbana-Champaign
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Hydrogen Atom I


An electron in the 2s state of the hydrogen atom has the wavefunction


where a0 is the Bohr radius. Consider a thin spherical shell with radius r1 = a0 and thickness dr, and another thin spherical shell with radius r2 = 4a0 and thickness dr. What is the ratio of the probability that the electron will be found within the thickness of the first thin shell, Pa0, to the probability that it will be found within the thickness of the second thin shell P4a0?

Pa0 / P4a0 =