JEE Main 2023PhysicsAtomic PhysicsMediumNumerical

JEE Main 2023 — Atomic Physics Question with Solution

JEE Main 2023 (11 Apr Shift 1)

Question

A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is x×1015 Hz. The value of x is ________
(Given h=4.25×10-15 eVs)

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Show full solutionCorrect answer: 3
Correct answer
3

Step-by-step explanation

Let the higher state be n.

The number of wavelengths emitted is given by,

n(n-1)2=6⇒n2-n-12=0⇒n-4(n+3)=0⇒n=4

For hydrogen atom,
hν=13.611-116=13.6×1516eV⇒ν=Eh=13.6×15×1.6×10-1916×6.62×10-34=3×1015Hz

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About this question

This is a previous-year question from JEE Main 2023, 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.