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Shapes of Orbitals and Nodes

Which of the ...

Question

Which of the following orbitals are degenerate?

A

4 d_{x y}, 3 d_{y z}, 4 d_{y z}, 4 d_{z^{2}}

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B

3 d_{y z}, 4 d_{y z}

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C

3 d_{x y}, 3 d_{y z}

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D

4 d_{x y}, 4 d_{y z}, 4 d_{z^{2}}

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Solution

The correct options are
B $3 d_{x y}, 3 d_{y z}$
D $4 d_{x y}, 4 d_{y z}, 4 d_{z^{2}}$
Degenerate orbitals are the orbitals of the same subshell of the same main shell. Hence, these are $(3 d_{x y}, 3 d_{z^{2}}, 3 d_{y z})$ and $(4 d_{x y}, 4 d_{y z}, 4 d_{z^{2}})$ .

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Which of the following orbitals are degenerate ?

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