NEET · Chemistry · STD 11 - 2. structure of atom

Identify the incorrect statement from the following.

A All the five \(4 d\) orbitals have shapes similar to the respective \(3 d\) orbitals.
B In an atom, all the five \(3 d\) orbitals are equal in energy in free state.
C The shapes of \(d_{x y y^{\prime}} d_{y z}\), and \(d_{z x}\) orbitals are similar to each other; and \(d_{x} 2-y^{2}\) and \(d_{z} 2\) are similar to each other.
D All the five \(5 d\) orbitals are different in size when compared to the respective \(4 d\) orbitals.

Verified Solution

Answer & Solution

Correct Answer

(C) The shapes of \(d_{x y y^{\prime}} d_{y z}\), and \(d_{z x}\) orbitals are similar to each other; and \(d_{x} 2-y^{2}\) and \(d_{z} 2\) are similar to each other.

Step-by-step Solution

Detailed explanation

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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