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JEE Main 2023 (24 Jan, Shift 2) · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from JEE Main 2023 (24 Jan, Shift 2)

Q29JEE Main 2023 · 24 JAN · SHIFT 2Easy

Transitions, Photon Emission & Excitation

A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h = 4 ×\times 10 −15{}^{-15} eVs):

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Answer: (b)

  1. ΔE=13.6(1−116)=12.75\Delta E = 13.6\left(1-\frac{1}{16}\right) = 12.75 eV
  2. λ=hcΔE=4×10−15×3×10812.75\lambda = \frac{hc}{\Delta E} = \frac{4\times10^{-15}\times3\times10^{8}}{12.75} m
  3. λ=1.2×10−612.75 m≈94.1\lambda = \frac{1.2\times10^{-6}}{12.75}\ \text{m} \approx 94.1 nm
  4. So the answer is (b) 94.194.1 nm.
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