The wave function is a mathematical function whose value depends upon spherical polar coordinates (r,) of the electron and characterized by the quantum numbers n, l and . Here r is distance from nucleus, is colatitude and is azimuth. In the mathematical functions given in the Table, Z is atomic number and is Bohr radius.
Column 1 | Column 2 | Column3 |
(I) Is orbital | (i) | (P)
|
(II) 2S orbital | (ii) one radial node | (Q) Probability density at nucleus
|
(III) orbital | (iii) | (R) Probability density is maximum at nucleus |
(IV) orbital | (iv) xy-plane is a nodal plane | (S) Energy needed to excite electron from n=2 state to n= 4 state is times the energy needed to excite electron from n=2 state to n=6 state |
For hydrogen atom, the only CORRECT combination is
1s ® 0 radial nodes , no angular component (Þ no cos q)
2s ®1 radial node, , no angular component (Þ no cos q)
0 radial node, angular component is present (Þ no cos q)
0 radial node, angular component is present (Þ no cos q)
a) 2s ®1radial node / coloumn(2) (i) no radial node Þ wrong
b) 1s ®no node plane Þ wrong
c) 1s ® no radial node Þ coloumn (3) ‘p’ ® 1 radial node Þ wrong
d) correct
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