Q.
What is the sum of radial and angular nodes in the following orbitals of H-atom?(I) ψ2px (II) ψ2s (III) ψ3dx (IV) ψ3dx2-y2
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answer is 6.
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Detailed Solution
Radial nodes = n – l – 1⇒ (I) n = 2, l= 1, radial node = 2 – 1 – 1 = 0Angular node = 1 (YZ plane)(II) n = 2, l = 0, Radial node = 2 – 0 – 1 = 1Angular node = 0(III) n = 3, l = 2, Radial node = 3 – 2 – 1 = 0, andAngular node = 2 (XY and YZ planes)(IV) n = 3, l= 2, Radial node = 0, andAngular nodes = 2Total = I + II + III + IV = 1 + 1 + 2 + 2 = 6
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