JEE Main · 2023 · 06 Apr 2023 · Shift 1 · Modern Physics

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The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is

(A)C
(B)D✓ Correct
(C)B
(D)A

Answer: (B)

Solution

From the energy-wavelength relation

Δ E = \frac{h c}{λ}

, we have

λ \propto \frac{1}{Δ E}

.

For the shortest wavelength, the energy gap must be maximum.

From the diagram, transition D (from

n = 3

n = 1

) has the largest energy difference, hence it corresponds to the shortest wavelength emission.

JEE Main · 2023 · 06 Apr 2023 · Shift 1 · Single correct option

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