The wave function, 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 ao is Bohr radius. | ||
Column 1 | Column 2 | Column 3 |
(I) 1s orbital | (i) ∝ | (P) |
(II) 2s orbital | (ii) One radial node | (Q) Probability density at nucleus ∝ |
(III) 2pz orbital | (iii) ∝ cosθ | (R) Probability density is maximum at nucleus |
(IV) 3dz2 orbital | (iv) xy-plane is a nodal plane | (S) Energy needed to excite electron from n = 2 state to |
(i) For He + ion, the only incorrect combination is
Text Solution
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(i) s-orbital is non directional so wave function will be independent of cos θ.
(ii) For 2s orbital no. of radial nodes = n – λ – 1 = 1
(iii) For 1s orbital Ψ Ψ should be independent of θ , also it does not contain any radial node.
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