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JEE Main levelNumerical answerDifficulty 2 of 3as138

Find the total number of radial nodes summed over all the orbitals of the $n = 4$ shell, counting each orbital separately.

Numerical answer type, tolerance 0.01.

Answer: 14

Radial nodes of an orbital

= n - l - 1

. For

n = 4

: s gives

3 \times 1

, p gives

2 \times 3

, d gives

1 \times 5

, f gives

0 \times 7

. Total

= 3 + 6 + 5 + 0 = 14

.

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