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JEE Main 202227 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Morning Shift
Subject
Physics
Chapter
Atomic Physics

JEE Main 2022 · 27 June · Morning Shift · Physics · Atomic Physics

A beam of monochromatic light is used to excite the electron in Li...

A beam of monochromatic light is used to excite the electron in Li++{Li}^{+ +} from the first orbit to the third orbit. The wavelength of monochromatic light is found to be x×10−10mx \times {10}^{- 10}m. The value of xx is _____ .

[Given hc=1242eVnmhc = 1242eVnm]

Correct answer

0

Step-by-step solution

Energy released in the transition will be,

\DeltaE=13.6×Z2\DeltaE = 13 . 6 \times {Z}^{2}\left[\dfrac{1}{{1}^{2}} - \dfrac{1}{{3}^{2}}\right] = 13 . 6 \times {3}^{2} \times \dfrac{8}{9}eV = 108 . 8eV</p><p>Nowenergyofphotoncanbewrittenas,</p><p></p><p>Now energy of photon can be written as,</p><p>\dfrac{hc}{\lambda} = 108 . 8eV ⇒ \lambda = \dfrac{12400}{108 . 8}\overset{o}{A} \approx 114\overset{o}{A}

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