TS EAMCET · Chemistry · Structure of Atom

The maximum number of orbitals present in \(n=4\) energy level of an atom and the maximum number of electrons with spin value \(+\frac{1}{2}\) in the same orbitals are
,respectively.

A 16, 5
B 16, 7
C 16, 9
D 16, 16

Verified Solution

Answer & Solution

Correct Answer

(D) 16, 16

Step-by-step Solution

Detailed explanation

For \(\mathrm{n}=4 l=0,1,2,3\). For each ' \(l\) ' value \((2 l+l)\) no. of orbitals are available. \[ l=0, \mathrm{~m}_l=1 ; l=1, \mathrm{~m}_l=3 ; l=2, \mathrm{~m}_l=5 ; l=3, \mathrm{~m}_l=7 \] \(\therefore \quad\) Total no. of orbitals \(=1+3+5+7=16\) Each orbital contains…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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The maximum number of orbitals present in \(n=4\) energy level of an atom and the maximum number of electrons with spin value \(+\frac{1}{2}\) in the same orbitals are ,respectively.

Step-by-step Solution

The maximum number of orbitals present in \(n=4\) energy level of an atom and the maximum number of electrons with spin value \(+\frac{1}{2}\) in the same orbitals are
,respectively.