QJEEM25Ch2bda: JEE Main 2025 Chemistry - Class 11 JEEM25Ch2bda Solution: Given below are two statements : Statement (I) : A spectral…
Given below are two statements :
Statement (I) : A spectral line will be observed for a transition.
Statement (II) : and are degenerate orbitals.
In the light of the above statements, choose the correct answer from the options given below :
Multiple Choice Options
- A Statement I is false but Statement II is true
- B Both Statement I and Statement II are false
- C Statement I is true but Statement II is false
- D Both Statement I and Statement II are true
Step-by-Step Verified Solution
Let us analyze the two statements in the context of atomic orbitals and electronic transitions:
Statement (I)
“A spectral line will be observed for a transition.”
For an emission (or absorption) line to be observed, there must be a difference in energy between the initial and final states.
In a typical hydrogen-like or many-electron atom (without additional external fields or splitting effects), the three orbitals ( , , ) are degenerate—i.e., they all have the same energy.
Consequently, a transition from to (both having the same energy) would involve no energy change. Hence, no photon is emitted or absorbed for this “transition.” So you would not observe a spectral line for such a transition.
Therefore, Statement (I) is false.
Statement (II)
“ and are degenerate orbitals.”
Orbitals within the same subshell (e.g., subshell) are typically degenerate (same energy) in an isolated atom (especially a hydrogen-like atom).
Thus, and (and ) do indeed have the same energy.
Therefore, Statement (II) is true.
Conclusion
Statement (I): False
Statement (II): True
Hence, the correct choice is:
Option A: Statement I is false but Statement II is true.