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JEE Main 2022 (29 Jul, Shift 1) · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from JEE Main 2022 (29 Jul, Shift 1)

Q39JEE Main 2022 · 29 JUL · SHIFT 1Easy

Transitions, Photon Emission & Excitation

Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.

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Answer: (a)

$E \propto \left(\frac{1}{n_f^2}-\frac{1}{n_i^2}\right)$
(i) $2\to1$ : $1-\frac14 = \frac34$ . (ii) $\infty\to1$ : $1-0 = 1$ .
Ratio $= \frac34 : 1 = 3:4$
So the answer is (a) $3:4$ .

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