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JEE Main Chemistry question

ChemistryStructure of AtomJEE Main

The Schrödinger wave function () for np-orbital ( is principal quantum number) in a single electron system is represented by:

Ψ_{np} = (σ-1)(σ^2-8σ+

Where is atomic number, is Bohr radius, and is radial node distance. What is the value of ?

Answer: 5

Solution

Radial nodes occur where (excluding ), i.e. where . This factors as , giving three

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Question ID VK-133030