To choose the most appropriate answer based on the given statements about degenerate orbitals, let's analyze each statement:
In light of these analyses:
Therefore, the correct answer is: Statement-I is true but Statement-II is false.
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.
Let one focus of the hyperbola \( H : \dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1 \) be at \( (\sqrt{10}, 0) \) and the corresponding directrix be \( x = \dfrac{9}{\sqrt{10}} \). If \( e \) and \( l \) respectively are the eccentricity and the length of the latus rectum of \( H \), then \( 9 \left(e^2 + l \right) \) is equal to:
