The number of atomic orbitals from the following having 5 radial nodes is \_\_\_\_ . $7 \mathrm{~s}, 7 \mathrm{p}, 6 \mathrm{~s}, 8 \mathrm{p}, 8 \mathrm{~d}$

JEE Main · 2023 · 08 Apr 2023 · Shift 2 · Atomic Structure

The number of atomic orbitals from the following having 5 radial nodes is ____ .

7 s, 7 p, 6 s, 8 p, 8 d

Answer: 3

Solution

The number of radial nodes of an orbital equals

n - ℓ - 1

. For the seven-s orbital this is six, for seven-p it is five, for six-s it is five, for eight-p it is six, and for eight-d it is five. The orbitals seven-p, six-s and eight-d each have five radial nodes, so three of the listed orbitals meet the condition.

JEE Main · 2023 · 08 Apr 2023 · Shift 2 · Integer answer

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