JEE Main 2024PhysicsAtomic PhysicsMediumNumerical

JEE Main 2024 — Atomic Physics Question with Solution

JEE Main 2024 (01 Feb Shift 2)

Question

A particular hydrogen - like ion emits the radiation of frequency 3×1015 Hz when it makes transition from n=2 to n=1. The frequency of radiation emitted in transition from n=3 to n=1 is x9×1015 Hz, when x= _____.

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Show full solutionCorrect answer: 32
Correct answer
32

Step-by-step explanation

For Hydrogen like atom, energy emitted is E=-13.6Z21ni2-1nf2

⇒E=C1nf2-1ni2

⇒hν=C1nf2-1ni2

Therefore, the  ratiov1v2=1nf2-1ni22-11nf2-1ni23-1

=11-1411-19=3489

=34×98

⇒v1v2=2732

⇒v2=3227v1=3227×3×1015 Hz=329×1015 Hz

Hence, x=32.

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About this question

This is a previous-year question from JEE Main 2024, 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.