`P` is the probability of finding the Is electron of hydrogen atom in a spherical shell of infitesimal thickness, dr, at a distance `r` from the nucleus. The volume of this shell is `4pi r^(2)dr`. The qualitative sketch of the dependence of `P` on r is

Options

A.
B.
C.
D.

Answer

D

Explanation

Radial probability function describes the total probability of finding the electron in a spherical shell of thickness 'dr' located at distance r fro0m nucleus.
R.P.F.=(volume of spherical shell)`xx`probability density
`=(4pir^(2)dr)xxPhi_(r)^(2)`
`=4pir^(2)drxx[2((1)/(a_(0)))^(3//2)e^(-r//a_(0))]^(2)`
`=16pir^(2)((1)/(a_(0)))^(3)xxe^(-2r//a_(0))dr`.
R.P.F. will be zero when r=0 and r=`infty`, it is represented by Graph (d).