Hydrogen [ _ 1 H ^ 1 ] , Deuterium [1 H ^ 2 ] , singly ionized Helium [ _ 2 He ^ 4 ]^ +…

Chemistry · JEE Main · NTA ExamsAtomic Structure

Hydrogen \(\left[{ }_{1} \mathrm{H}^{1}\right]\), Deuterium \(\left[1 \mathrm{H}^{2}\right]\), singly ionized Helium \(\left[{ }_{2} \mathrm{He}^{4}\right]^{+}\) and doubly ionized lithium \(\left[3^{\mathrm{L}} \mathrm{~L}^{5}\right]^{++}\) all have one electron around the nucleus. Consider an electron transition from n = 2 to n = 1. If the wave lengths of emitted radiation are \(\lambda_{1}, \lambda_{2}, \lambda_{3} \text { and } \lambda_{4}\) respectively then approximately which one of the following is correct?
  1. \(4 \lambda_{1}=2 \lambda_{2}=2 \lambda_{3}=\lambda_{4}\)
  2. \(\lambda_{1}=2 \lambda_{2}=2 \lambda_{3}=\lambda_{4}\)
  3. \(\lambda_{1}=\lambda_{2}=4 \lambda_{3}=9 \lambda_{4}\)
  4. \(\lambda_{1}=2 \lambda_{2}=3 \lambda_{3}=4 \lambda_{4}\)

Answer

(A) 4 _ 1 =2 _ 2 =2 _ 3 = _ 4

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