Statement-I: The orbitals having same energy are called as degenerate orbitals.Statement-II: In hydrogen atom, 3p3p and 3 d3 d orbitals are not degenerate orbitals.In the light of the above statements, choose the most appropriate answer from the options givenJEE Main 2024 (30 Jan Shift 1)AStatement-I is true but Statement-II is falseBBoth Statement-I and Statement-II are true.CBoth Statement-I and Statement-II are falseDStatement-I is false but Statement-II is true
Question
Statement-I: The orbitals having same energy are called as degenerate orbitals.Statement-II: In hydrogen atom, 3p3p and 3 d3 d orbitals are not degenerate orbitals.In the light of the above statements, choose the most appropriate answer from the options givenJEE Main 2024 (30 Jan Shift 1)AStatement-I is true but Statement-II is falseBBoth Statement-I and Statement-II are true.CBoth Statement-I and Statement-II are falseDStatement-I is false but Statement-II is true
Solution
Statement-I is true. Degenerate orbitals are indeed orbitals that have the same energy. This is a fundamental concept in quantum mechanics and is particularly relevant in the field of atomic and molecular orbital theory.
Statement-II is also true, but only for multi-electron systems. In a hydrogen atom, which is a single-electron system, all orbitals with the same principal quantum number (n) are degenerate, meaning they have the same energy. Therefore, in a hydrogen atom, the 3p and 3d orbitals are indeed degenerate.
However, in multi-electron atoms, the energy of an orbital depends not only on the principal quantum number (n) but also on the azimuthal quantum number (l). This is due to electron-electron repulsion, which makes the energy of an orbital increase with increasing l for a given n. Therefore, in multi-electron atoms, the 3p and 3d orbitals are not degenerate.
So, the answer is A: Statement-I is true but Statement-II is false.
Similar Questions
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