JEE Main 2020PhysicsAtomic PhysicsHardMCQ

JEE Main 2020 — Atomic Physics Question with Solution

JEE Main 2020 (02 Sep Shift 2)

Question

In a hydrogen atom the electron makes a transition from n + 1th  level to the nth level. If n>>1, the frequency of radiation emitted is proportional to :

Choose an option

Show full solutionCorrect option: B
Correct answer
B1n3

Step-by-step explanation

En=-Rhcn2
En+1=-Rhc(n+1)2
ΔE=En+1-En
hv=Rhc1n2-1(n+1)2
v=R.cn+12-n2n2n+12
v=R.c1+2nn2n+12

n >> 1 ⇒v=R.c2nn2×n2=2RCn3

v∞1n3

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About this question

This is a previous-year question from JEE Main 2020, 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.