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science_1999
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Homework Statement
Determine the most probable radius for a 2s orbital (Hydrogen atom)
Homework Equations
Wavefunction for a 2s orbital:
1/(4√2pi*a^(3⁄2) ) (2-r⁄a) e^((-r)⁄(2a)) where, a=bohr radius
The Attempt at a Solution
First step:
find the probability density by squaring the wavefunction and multiplying but the spherical element of Volume
Second step:
Set the derivative of the probability density equal to zero to solve for where the slope of the plotted function is equal to zero