JEE Mains · Chemistry · STD 11 - 2. structure of atom

The number of electrons present in all the completely filled subshells having \(\mathrm{n}=4\) and \(\mathrm{s}=+\frac{1}{2}\) is _______. (Where \(\mathrm{n}=\) principal quantum number and \(\mathrm{s}=\) spin quantum number)

A \(14\)
B \(35\)
C \(18\)
D \(16\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(16\)

Step-by-step Solution

Detailed explanation

\(n=4\) can have, \(4\text s\) \(4\text q\) \(4\text d\) \(4\text f\) Total \(\text e^{-}\) \(2\) \(6\) \(10\) \(14\) Total \(\text e ^{-}\)with \(\text S =+\frac{1}{2}\) \(1\) \(3\) \(5\) \(7\) So, Ans.\(16\)

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.

Same subject

Match \(List-I\) with \(List-II\).

\(List-I\)	\(List-II\)
\((A)\) \(\Psi_{ MO }=\Psi_{ A }-\Psi_{ B }\)	\((I)\) Dipole moment
\((B)\) \(\mu=Q \times I\)	\((II)\) Bonding molecular orbital
\((C)\) \(\frac{N_{b}-N_{a}}{2}\)	\((III)\) Anti-bonding molecualr orbital
\((D)\) \(\Psi_{ MO }=\Psi_{ A }+\Psi_{ B }\)	\((IV)\) Bond order

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