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

• first Bohr radius
• second Bohr radius
• third Bohr radius
• either first or second Bohr radius

Correct Answer: first Bohr radius

Explanation:

The total charge associated with an electron moving about nucleus in the ground state of hydrogen atom is given by 4p²rr(r)dr.

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