In: Physics
The proton is not truly a point particle, but can be modeled as a sphere of radius approx 1 fm. This is an approximation. Calculate the probability that the electron in the ground state of hydrogen will be found within 1.00000 fm of the center of the proton in the following two ways. Talk about the differences or lack of differences between the two results.
a.) Integrate the radial probability density over the appropriate range of radii.
b.) Multiply the appropriate range of radii by the radial probability density evaluated in the center of that interval.