JEE ADVANCED 2017 SOLUTION - The wave function, ψ n,l ,ml is a math schrodinger wave equation

The wave function, ψ n,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
l m . Here r is distance from nucleus, θ is colatitude and φ is azimuth. In the mathematical

schrodinger wave equation

functions given in the Table, Z is atomic number and o a is Bohr radius.
1s orbital
(R) Probability density is maximum at nucleus
(IV) 3dz
2 orbital
(iv) xy-plane is a nodal plane
(S) Energy needed to excite electron from n = 2 state to n =
4 state is 27/32 times the energy needed to excite electron from
n = 2 state to n = 6 state


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