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JEE Main 202229 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2022 · 29 July · Morning Shift · Physics · Atomic Physics

Find the ratio of energies of photons produced due to transition of...

Find the ratio of energies of photons produced due to transition of an election of hydrogen atom from its(i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.

Options

  1. A3:43: 4
  2. B4:34: 3
  3. C1:41: 4
  4. D4:14: 1

Correct answer

A. 3:43: 4

Step-by-step solution

Energy of an electron in the nth{n}^{th} orbit of a Hydrogen atom is given by, En=−13.6n2eV{E}_{n} = \dfrac{- 13 . 6}{{n}^{2}}eV

Therefore,

⇒E2−E1E∞−E1=13.6(1−14)13.6=34⇒ \dfrac{{E}_{2} - {E}_{1}}{{E}_{\infty} - {E}_{1}} = \dfrac{13 . 6\left(1 - \dfrac{1}{4}\right)}{13 . 6} = \dfrac{3}{4}

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