JEE Main 2021PhysicsAtomic PhysicsMediumNumerical

JEE Main 2021 — Atomic Physics Question with Solution

JEE Main 2021 (17 Mar Shift 2)

Question

A particle of mass m moves in a circular orbit in a central potential field U(r)=U0r4. If Bohr's quantization conditions are applied, radii of possible orbitals rn vary with n1α, where α is _______ .

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Show full solutionCorrect answer: 3
Correct answer
3

Step-by-step explanation

F=-dUdr=-4U0r3=mv2r

mv2=4U0r4

V∝r2

r3∝n

⇒r∝n1/3=3

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About this question

This is a previous-year question from JEE Main 2021, covering the Atomic Physics chapter of Physics. 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.