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Structure of Atom question

2022 · 30 Jun · Shift 1 · Q1
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Structure of Atom question

2022 · 30 Jun · Shift 1 · Q1

JEE MainChemistryStructure of AtomMCQ+4 / −1
The number of radial nodes and total number of nodes in 4p orbital respectively are :
  1. A
    2 and 3
  2. B
    2 and 2
  3. C
    3 and 4
  4. D
    4 and 4
View written solutionFree

Correct answer: A

  1. Use the formulas for nodes in an orbital

For an orbital with principal quantum number nnn and azimuthal quantum number lll:

  • Total number of nodes =n−1= n - 1=n−1
  • Angular nodes =l= l=l
  • Radial nodes =n−l−1= n - l - 1=n−l−1
  1. Identify nnn and lll for the 4p4p4p orbital
  • For 4p4p4p, the principal quantum number is n=4n = 4n=4
  • For a ppp-orbital, l=1l = 1l=1
  1. Calculate radial nodes
Radial nodes=n−l−1=4−1−1=2\text{Radial nodes} = n - l - 1 = 4 - 1 - 1 = 2Radial nodes=n−l−1=4−1−1=2
  1. Calculate total nodes
Total nodes=n−1=4−1=3\text{Total nodes} = n - 1 = 4 - 1 = 3Total nodes=n−1=4−1=3
  1. Match with the options

The number of radial nodes and total number of nodes are:

2 and 32 \text{ and } 32 and 3

So the correct option is A.

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