Answer to Question #90694 in Quantum Mechanics for nur

Question

Calculate the probability that the electron in the ground state of hydrogen will be found outside the Bohr radius.

Given the radial probability density function for the hydrogen atom in its ground state,

P_1s (r)=((4r^2)/(a_0^3 )) e^(-(-2r)⁄a_0 )

Answer 1

$$\frac{5}{e^2}$$