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MHT CET 2023 (9 May, Shift 2) · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from MHT CET 2023 (9 May, Shift 2)

Q27MHT CET 2023 · 9 MAY · SHIFT 2Easy

Transitions, Photon Emission & Excitation

The wavelength of light for the least energetic photons emitted in the Lyman series of the hydrogen spectrum is nearly [Take $hc = 1240\text{ eV}\cdot\text{nm}$ , change in energy of the levels $= 10.2\text{ eV}$ ]

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Answer: (b)

Least energetic Lyman photon is $n=2 \to n=1$ with $\Delta E = 10.2$ eV.
$\lambda = \frac{hc}{\Delta E} = \frac{1240}{10.2}\ \text{nm} \approx 121.6\ \text{nm}$
So the answer is (b) $122$ nm.

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