Question

Which of the following orbitals are degenerate?

$\text{3d}_{\text{xy}} \text{, } \text{4d}_{\text{xy}} \text{, } \text{3d}_{\text{z}^{2}} \text{, } \text{3d}_{\text{yz}} \text{, } \text{5d}_{\text{z}^{2}}$

• A. $\text{3d}_{\text{xy}} \text{, } \text{3d}_{\text{z}^{2}} \text{, } \text{3d}_{\text{yz}}$
• B. $\text{4d}_{\text{xy}}\text{, }\text{3d}_{\text{z}^{2}}\text{, }\text{3d}_{\text{yz}}$
• C. $\text{3d}_{\text{z}^{2}}\text{, }\text{3d}_{\text{yz}}\text{, }\text{5d}_{\text{z}^{2}}$
• D. None

Answer 1

Answer: (A)

The orbitals which belongs to same subshell and same shell are called degenerate orbitals. $\left(3 \mathrm{~d}_{\mathrm{xy}}, 3 \mathrm{~d}_{\mathrm{z}^2}, 3 \mathrm{~d}_{\mathrm{yz}}\right)$ and $\left(4 \mathrm{~d}_{\mathrm{xy}}, 4 \mathrm{~d}_{\mathrm{yz}}, 4 \mathrm{~d}_{\mathrm{z}^2}\right)$ are the two sets of degenerate orbitals.