Chemistry - Atomic Structure Question with Solution | TestHub

ChemistryAtomic StructureQuantum NumbersMedium2 minQB

ChemistryMediumsingle choice

Passage / Comprehension

Information-1: Principal Quantum Number ' $n$ ' is defined as $1, 2, 3, \dots$ .

Information-2: Azimuthal Quantum Number ' $ℓ$ ' is defined as $1$ to $(n + 2)$ in integral steps.

Information-3: Magnetic Quantum Number ' $m$ ' is defined as $- \frac{ℓ}{2}$ to $\frac{ℓ}{2}$ (in integral steps), including zero if any.

Information-4: Spin Quantum Number ' $m_{s}$ ' has six possible values: $- 2, - 1, - \frac{1}{2}, \frac{1}{2}, 1, 2$ .

Information-5: The sub-shells corresponding to $ℓ = 0, 1, 2, 3, 4, 5, \dots$ are designated as S, P, D, F, G, H, I, J, K, $\dots$ respectively.

Information-6: The values of $m$ for a given value of $ℓ$ give the number of orbitals is a sub-shell.

Information-7: The principles for filling electrons in the shells remain unchanged.

On the basis of the above information, answer the following questions.

The number of orbitals & the maximum number of electrons that can be filled is a $J$ -sub-shell are respectively -

Answer:

Solution:

For a J-subshell, $l = 6$ . Number of orbitals = $2 l + 1 = 13$ . Max electrons = $2 (2 l + 1) = 26$ .

Concepts: Azimuthal quantum number ( $l$ ), number of orbitals ( $2 l + 1$ ), maximum electrons ( $2 (2 l + 1)$ ).

Stream:JEESubject:ChemistryTopic:Atomic StructureSubtopic:Quantum Numbers

⏱ 2mℹ️ Source: QB

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