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
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
- Statement-I is true but Statement-II is false
- Both Statement-I and Statement-II are true
- Both Statement-I and Statement-II are false
- Statement-I is false but Statement-II is true
The Correct Option is A
Approach Solution - 1
To choose the most appropriate answer based on the given statements about degenerate orbitals, let's analyze each statement:
- Statement-I: The orbitals having same energy are called as degenerate orbitals.
- This statement is a true fact. Degenerate orbitals are defined in chemistry as orbitals that have the same energy level.
- Statement-II: In hydrogen atom, 3p and 3d orbitals are not degenerate orbitals.
- This statement is false. In a hydrogen atom, which has only one electron, all sublevels within a principal energy level (i.e., \(3p, 3d, \text{ and } 3s\)) are indeed degenerate because they all have the same energy.
- This degeneracy is due to the symmetrical nature of the electron's attraction to the nucleus in a single-electron system like hydrogen.
In light of these analyses:
- Statement-I is true as it correctly defines degenerate orbitals.
- Statement-II is false because, in the hydrogen atom, the 3p and 3d orbitals indeed have the same energy.
Therefore, the correct answer is: Statement-I is true but Statement-II is false.
Approach Solution -2
Step 1. Analyze Statement-I: The definition of degenerate orbitals is accurate, as orbitals with the same energy level are indeed degenerate.
Step 2. Examine Statement-II: In a hydrogen atom, all orbitals in the same principal quantum level (e.g., 3s, 3p, 3d) are degenerate, as they have the same energy. Therefore, Statement-II is incorrect.
Step 3. Conclusion: Statement-I is correct, but Statement-II is incorrect.
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