JEE Main 2023ChemistryStructure of AtomEasyMCQ

JEE Main 2023 — Structure of Atom Question with Solution

JEE Main 2023 (06 Apr Shift 2)

Question

If the radius of the first orbit of hydrogen atom is a0, then de Broglie’s wavelength of electron in 3rd orbit is

Choose an option

Show full solutionCorrect option: C
Correct answer
C6πa0

Step-by-step explanation

According to Bohr's angular momentum equation,

mvr=nh2π

The angular momentum equation for third orbit is

mvr=3h2π

2πr3=hmv

According de Broglie's equation

λ=hmv

∴ λ=2π9a03=6πa0

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About this question

This is a previous-year question from JEE Main 2023, covering the Structure of Atom chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.