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The wave function, Psi("n, l, m(l)) is...

The wave function, `Psi_("n, l, m_(l))` is a mathematical function whose value depends upon spherical polar coordinates `(r, theta,phi)` of the electron and characterized by the quantum numbers n, l and `n_(l)`, Here r is distance from nucleus, `theta` is colatitude and `phi` is azimuth. In the mathematical functions given in the Table, Z is atomic number and `a_(0)` is Bohr radius.


For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is:

A

(I)(iv)(R)

B

(I)(i)(P)

C

(II)(i)(Q)

D

(I)(i)(S)

Text Solution

Verified by Experts

The correct Answer is:
D
For H-atom
`underset(1)("Is orbital")-psi_("atom")prop(Z/(a_(0)))^(3//2)e^(-((Zx)/(a_(0))),S`
`E_(4)-E_(2)=-13.6/16-(-13.6/4)=(3xx13.6)/16`
`E_(6)-E_(2)=-13.6/36-(-13.6/4)=(8xx13.6)/36`
`E_(4)-E_(2)` is `27/32` times of `E_(6)-E_(2)`
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