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Atoms and Nuclei question

2018 · Shift 0 · Q71
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Atoms and Nuclei question

2018 · Shift 0 · Q71

JEE MainPhysicsAtoms and NucleiMCQ+4 / −1
An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let λn{\lambda _n}λn​, λg{\lambda _g}λg​ be the de Broglie wavelength of the electron in the nth state and the ground state respectively. Let Λn{\Lambda _n}Λn​ be the wavelength of the emitted photon in the transition from the nth state to the ground state. For large n, (A, B are constants)
  1. A
    Λn≈A+Bλn2{\Lambda _n} \approx A + {B \over {\lambda _n^2}}Λn​≈A+λn2​B​
  2. B
    Λn≈A+Bλn{\Lambda _n} \approx A + B{\lambda _n}Λn​≈A+Bλn​
  3. C
    Λn2≈A+Bλn2\Lambda _n^2 \approx A + B\lambda _n^2Λn2​≈A+Bλn2​
  4. D
    Λn2≈λ\Lambda _n^2 \approx \lambdaΛn2​≈λ
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