Chemistry - Atomic Structure Question with Solution | TestHub

ChemistryAtomic StructureQuantum NumbersMedium2 minQB

ChemistryMediuminteger

Passage / Comprehension

The wave function for an atomic orbital of a single electron atom or ion is:

$ψ (r, θ, ϕ) = \frac{2}{3} (\frac{Z}{3 a _{0}})^{3/2} (1 - σ) (12 - 8 σ + σ^{2}) \cdot σ \cdot e^{- σ /2} \cdot cos θ$

where $σ = \frac{2 Z r}{n a _{0}}$ and $a_{0} = 0.529 \overset{˚}{A}$ . All other parameters have their usual meaning.

Read the following statements related with the given atomic orbital :

(i) It has 2 radial nodes.

(ii) It has 1 angular node.

(iii) The total number of nodal surfaces are 4 .

(iv) The radial wave function changes its sign three times in $ψ (r)$ vs r curve.

(v) The given orbital may be 6p .

The number of correct statements is :

Answer:

Solution:

(ii), (iii) and (iv) are correct informations.

Stream:JEESubject:ChemistryTopic:Atomic StructureSubtopic:Quantum Numbers

⏱ 2mℹ️ Source: QB

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