The schrodinger wave equation for hydrogen atom is Psi_(2s)=1/(4sqrt2pi)(1/a_0)^(1//2) [2-r_0/a_0]e^(-2//a_0) where a_0 is Bohr radius. If the radial node in 2s be at r_0, then find r in terms of a_0

The schrodinger wave equation for hydrogen atom is Psi_(2s)=1/(4sqrt2p

1.	The schrodinger wave equation for hydrogen atom is Psi_(2s)=1/(4sqrt2pi)(1/a_0)^(1//2) [2-r_0/a_0]e^(-2//a_0) where a_0 is Bohr radius. If the radial node in 2s be at r_0, then find r in terms of a_0
Answer» `r_0=2a_0` `2r_0=a_0` `3//2r_0=a_0` `r_0=a_0` Solution :`Psi_(2s)=1/(4sqrt2pi) (1/a_0)^(3//2) [2-r_0/a_0] E^(r//a^0)` [uncertainty PRINCIPLE ] `Psi_(2x)^2 =0` at NODE then , `[(2-r_0)/a_0] =0 RARR r_0 =2a_0`