Wave function `psi_(n,lm_(1))` is a mathematical function, which vlaue depends on spherical polar coordinates `(r , theta, phi)` and titrated from quantum numbers `n, l and m _(1).` Here, r is distance from nucleus, `theta` is Colatitude and `phi `is azimuth. In mathematical functions which are given below table, Z is atomic number and `a _(0)` is Bohr Radius.
Column 1
(I) 1s Orbital
(II) 2s Orbital
(III)`2p_(z)` Orbital
(IV) `3d _(z)^(2)` Orbital
Column 2
(i) `psi_(n,l,m_(1))prop ((z)/(a _(0)))^(3/z) e ^((zr)/(a _(0)))`
(ii) a radial node
(iii) `psi_(n,l,m_(1)) prop ((Z)/(a _(0))) ^(5/z )e ^((2r))re ^(((2r)/(2a_(0))))cos theta`
(iv) xy-plane is node
Column 3

(Q) nucleus per probability density `prop (1)/(a_(0)^(3))`
(R) nucleus per probability density is maximum
(S) energy requires to excited a electron from level `n=2` to `n =4, is (27)/(32)` times
to energy requires to excited a electron from level `n =2` to `n =6`
Which of the following options has correct combination for hydrogen atom ?

Options

A. `(I) (i) (P)`
B. `(I) (iv) ( R)`
C. `(II) (I) (Q)`
D. `(I) (i) (S)`

Answer

D