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.