Identify the incorrect statement from the fol | vedclass

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(C) The shapes of $d$-orbitals are determined by the angular part of the wave function,which depends on the azimuthal quantum number $l$. For all $d$-

Vedclass · Accepted Answer

The shapes of $d_{xy}$,$d_{yz}$,and $d_{zx}$ orbitals are similar to each other; and $d_{x^{2}-y^{2}}$ and $d_{z^{2}}$ are similar to each other.

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(C) The shapes of $d$-orbitals are determined by the angular part of the wave function,which depends on the azimuthal quantum number $l$. For all $d$-orbitals,$l = 2$. Therefore,$3d$,$4d$,and $5d$ orbitals have the same shapes.Option $A$ is correct because $4d$ and $3d$ orbitals have identical shapes.Option $B$ is correct because in a free atom,all five $d$-orbitals are degenerate (equal in energy).Option $C$ is incorrect because $d_{x^{2}-y^{2}}$ and $d_{z^{2}}$ do not have similar shapes. $d_{x^{2}-y^{2}}$ has four lobes along the $x$ and $y$ axes,while $d_{z^{2}}$ has two lobes along the $z$-axis and a ring of electron density in the $xy$-plane.Option $D$ is correct because as the principal quantum number $n$ increases,the size of the orbital increases. Thus,$5d$ orbitals are larger than $4d$ orbitals.

Identify the incorrect statement from the following.

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In which of the following pairs of orbitals is the probability of finding the electron zero in the $XY$ plane?

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