In the wave mechanical theory, the maximum of the charge distribution in the ground state occurs for a distance from the nucleus equal to

A)
first Bohr radius
B)
second Bohr radius
C)
third Bohr radius
D)
either first or second Bohr radius

Correct Answer : Option (A) :   first Bohr radius


Explanation : The total charge associated with an electron moving about nucleus in the ground state of hydrogen atom is given by  4π²rp(r)dr.

This integrand has a maximum value at r = radius of first Bohr orbit.