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 hydrogen atom, the only CORRECT combination is
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a
(II) (i) (Q)
b
(I) (iv) (R)
c
(I) (i) (P)
d
(I) (i) (S)
answer is D.
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Detailed Solution
1s ® 0 radial nodes , no angular component (Þ no cos q)2s ®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) 2s ®1radial node / coloumn(2) (i) no radial node Þ wrongb) 1s ®no node plane Þ wrongc) 1s ® no radial node Þ coloumn (3) ‘p’ ® 1 radial node Þ wrongd) correct
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