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Question

The number of radial nodes and angular nodes are the same in which of the following orbital/orbitals?
(A) 3p (B) 4p (C) 5d (D) 6f

A
A only
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B
A and C both
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C
B and C both
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D
D only
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Solution

The correct option is B A and C both
We know,
Number of radial nodes = n-l-1
Number of angular nodes = l

For 3p:
Number of radial nodes = nl1=311=1
Number of angular nodes =l=1

For 4p:
Number of radial nodes = nl1=411=2
Number of angular nodes = l=1

For 5d:
Number of radial nodes = nl1=521=2
Number of angular nodes = l=2

For 6f:
Number of radial nodes = nl1=631=2
Number of angular nodes = l=3

Thus, 3p and 5d orbitals have the same number of radial nodes and angular nodes.

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