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JEE Advanced levelSingle correct optionDifficulty 3 of 3as157

In the $n = 5$ shell, the number of orbitals that have at least one angular node AND at least one radial node is

A25
B15
C9
D24

Answer: B

Need

l \geq 1

and

n - l - 1 \geq 1

, i.e.

l = 1, 2, 3

for

n = 5

. Orbitals:

3 + 5 + 7 = 15

. The count 24 ignores the radial-node requirement.

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