The wave function Ψ of 2 s is given by Ψ 2 s = 1 2 2 π 1 a 0 1 / 2 2 - r a 0 e - r / 2 a 0 At r = r 0 , radial node is formed. Thus, r 0 in terms of a 0

Step-by-step solution

The wave function ( Ψ ) of 2s is given by, Ψ 2 s = 1 2 2 π 1 a 0 1 / 2 2 - r a 0 e - r / 2 a 0 At r   =   r 0 , radial node is formed. Ψ 2 s 2   = Probability density of finding an electron At node, Ψ 2 s 2   =   0 ( ∵ Probability of finding an electron is zero at the node) Ψ 2 s 2   = 1 2 2 π 1 a 0 1 / 2 2 - r a 0 e - r / 2 a 0 2 ⇒   0   = 1 8 π 1 a 0   2 - r 0 a 0 2 e - 2 r 0 / a 0 ⇒   2   -   r 0