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

Given below are two statements :
Statement (I) : A spectral line will be observed for a \(2 \mathrm{p}_x \rightarrow 2 \mathrm{p}_y\) transition.
Statement (II) : \(2 P_x\) and \(2 p_y\) are degenerate orbitals.
In the light of the above statements, choose the correct answer from the options given below :

A Both Statement I and Statement II are true
B Statement I is false but Statement II is true
C Both Statement I and Statement II are false
D Statement I is true but Statement II is false

Verified Solution

Answer & Solution

Correct Answer

(B) Statement I is false but Statement II is true

Step-by-step Solution

Detailed explanation

\(2 p_{\mathrm{x}}\) and \(2 \mathrm{p}_{\mathrm{y}}\) are degenerated orbitals hence having equal energy and therefore no spectral line will be observed for \(2 p_x \rightarrow 2 p_y\) transition.

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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List\(-I\)	List\(-II\)
\((a)\) \(Ne _{2}\)	\((i)\) \(1\)
\((b)\) \(N _{2}\)	\((ii)\) \(2\)
\((c)\) \(F _{2}\)	\((iii)\) \(0\)
\((d)\) \(O _{2}\)	\((iv)\) \(3\)