Identify the incorrect statement from the following

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All the five 4d orbitals have shapes similar to the respective 3d orbitals

In an atom, all the five 3d orbitals are equal in energy in free state

The shapes of $d_{x y}, d_{y z}$ and $d_{z x}$ d – orbitals are similar to each other and $d_{x^{2} - y^{2}}$ and $d_{z^{2}}$ are similar to each other

All the five 5d orbitals are different in size when compared to the respective 4d orbitals

answer is D.

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Detailed Solution

Shape of $d_{x^{2} - y^{2}}$ will differ from $d_{z^{2}}$ $d_{x^{2} - y^{2}}$ is double dumbbell, but $d_{z^{2}}$ is not

(1) , as ‘n’ value increases, radius of shell increases
Size of 5d > 4d
(2) Shape of orbital depends on ‘l’ value. For all d – orbitals, ‘l’ value is same, shape of all d – orbitals is same
(3) d – orbitals are degenerate in free state

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