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Wave Optics

Question
CBSEENPH12039117

The energy levels of a hypothetical atom are shown below. Which of the shown transitions will result in the emission of a photon of wavelength 275 nm?

Which of these transitions correspond to emission of radiation of (i) maximum and (ii) minimum wavelength? 


Solution

Given, wavelength of the photon, straight lambda = 275 nm

Energy of the photon is given by,
Error converting from MathML to accessible text. 

This corresponds to transition B as from the figure.

i)   increment straight E space equals space hc over straight lambda space rightwards double arrow space straight lambda space equals space fraction numerator hc over denominator increment straight E end fraction 
For maximum wavelength  should be minimum.
Minimum energy corresponds to transition A.

ii) For minimum wavelength,  should be maximum. Maximum energy corresponds to transition D.