QJEEM24Ch35e6: JEE Main 2024 Chemistry - Class 11 JEEM24Ch35e6 Solution: Given below are two statements : Statement (I) : The orbitals…
Given below are two statements :
Statement (I) : The orbitals having same energy are called as degenerate orbitals.
Statement (II) : In hydrogen atom, 3p and 3d orbitals are not degenerate orbitals.
In the light of the above statements, choose the most appropriate answer from the options given below :
Multiple Choice Options
- A Statement I is true but Statement II is false
- B Statement I is false but Statement II is true
- C Both Statement I and Statement II are false
- D Both Statement I and Statement II are true
Step-by-Step Verified Solution
Degenerate Orbitals: Orbitals that have the same energy are called degenerate orbitals.
Hydrogen-like Atoms (Single-Electron Systems): In a hydrogen atom (or any one-electron system), the energy of an orbital depends only on the principal quantum number , not on the azimuthal quantum number . Therefore, all orbitals with the same (e.g., 3s, 3p, 3d) have the same energy and are degenerate.
Multi-electron Atoms: In atoms with more than one electron, the energy also depends on (and other factors like screening), so 3s, 3p, and 3d orbitals are not all degenerate in multi-electron atoms.
Now, let us evaluate the given statements:
Statement (I): “The orbitals having same energy are called as degenerate orbitals.”
This statement is true by definition.
Statement (II): “In hydrogen atom, 3p and 3d orbitals are not degenerate orbitals.”
In a hydrogen atom, all orbitals with the same principal quantum number (like 3s, 3p, 3d) are degenerate.
Hence, this statement is false.
Therefore, the correct option is:
Option A: Statement I is true but Statement II is false.