Q.

The wave function ψn,l,ml is a mathematical function whose value depends upon spherical polar coordinates (r,θ,ϕ) of the electron and characterized by the quantum numbers n, l and ml. Here r is distance from nucleus, θ  is colatitude and ϕ is azimuth. In the mathematical functions given in the Table, Z is atomic number and a0 is Bohr radius.(P)  (Q) Probability density  at nucleusα1a03 For He+ ion, the only INCORRECT combination is

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a

(I)  (i) (R)

b

(II) (ii) (Q)

c

(I) (i) (S)

d

(I) (iii) (R)

answer is D.

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Detailed Solution

1s ®  0 radial  nodes , no angular  component (Þ no cos q)             2s ®  0  1 radial node, , no angular  component (Þ no cos q)           2pz→   0 radial node, angular component is present (Þ no cos q)            3dz2→   0 radial node, angular component is present(Þ no cos q)a)1s  ®    (i) ®  ‘R’ ®1s orbital ’0’ radial node probability max@nucleas                                                                                                                          Þ correct               b)2s  ® 1 radial node of  q ® correct            c)  ® (i) ®’s’ ® correct d)     1s →no angular  component⇒cosθ  should not be present  ⇒wrong.
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