JEE Main 2023PhysicsAtomic PhysicsMediumNumerical

JEE Main 2023 — Atomic Physics Question with Solution

JEE Main 2023 (08 Apr Shift 2)

Question

The ratio of wavelength of spectral lines Hα and Hβ in the Balmer series is x20. The value of x is _____.

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Show full solutionCorrect answer: 27
Correct answer
27

Step-by-step explanation

The formula to calculate the wavelength of Hα-line in Balmer series is given by

hcλα=13.614-19   ...1

The formula to calculate the wavelength of Hβ-line in Balmer series is given by

hcλβ=13.614-116   ...2

Divide equation (2) by equation (1) 
⇒λαλβ=14-11614-19
=3664×125
=2720

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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.