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Physics-

General

Easy

Question

The diagram shows the energy levels for an electron in acertainatom. Which transitionshown represents theemissionofaphotonwiththemostenergy?

IV
III
II
I

The correct answer is: III

$E equals R h c open square brackets fraction numerator 1 over denominator n subscript 1 end subscript superscript 2 end superscript end fraction minus fraction numerator 1 over denominator n subscript 2 end subscript superscript 2 end superscript end fraction close square brackets$
Ewillbemaximumforthetransitionforwhich
$open square brackets fraction numerator 1 over denominator n subscript 1 end subscript superscript 2 end superscript end fraction minus fraction numerator 1 over denominator n subscript 2 end subscript superscript 2 end superscript end fraction close square brackets text is maximum. Here end text n subscript 2 end subscript text is the higher energy end text$
$text level. end text$
$text Clearly, end text open square brackets fraction numerator 1 over denominator n subscript 1 end subscript superscript 2 end superscript end fraction minus fraction numerator 1 over denominator n subscript 2 end subscript superscript 2 end superscript end fraction close square brackets text is maximum for the third transition, end text$
$text i.e. end text 2 rightwards arrow 1. text I transition represents the absorption of end text$
$text energy. end text$

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