JEE Main 2025 Jan 22 Shift 2, Chemistry Q15: Quantum Numbers

JEE Main2025Jan 22, Shift 2Chemistry

Given below are two statements :

Statement (I) : A spectral line will be observed for a $2 p_{x} \to 2 p_{y}$ 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
Both Statement-I and Statement-II are false.
C
Statement-I is true but Statement-II is false.
D
Statement-I is false but Statement-II is true.

Solution

A spectral line appears only when an electron transitions between two orbitals of different energies, releasing or absorbing a photon of energy $Δ E = h ν$ .

$2 p_{x}$ and $2 p_{y}$ orbitals have exactly the same energy: they are degenerate orbitals. A transition between two degenerate levels has $Δ E = 0$ , so no photon is emitted or absorbed, and no spectral line is observed. Statement-I is false.

Since $2 p_{x}$ and $2 p_{y}$ are indeed degenerate, Statement-II is true.

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JEE Main 2025 Jan 22 Shift 2, Chemistry Q15: Quantum Numbers

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