The transition from the state n = 3 to n = 1 in a hydrogen like atom… | NEET 2012 (AIPMT, Mains)

Q68NEET 2012 · AIPMT · MAINSMedium

Transitions, Photon Emission & Excitation

The transition from the state n = 3 to n = 1 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from

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Answer: (d)

Photon energy $\propto \left(\frac{1}{n_f^2} - \frac{1}{n_i^2}\right)$ . Infrared has much lower energy than UV, so pick the smallest bracket.
$3\to1: \frac{8}{9}$ , $2\to1: \frac{3}{4}$ , $3\to2: \frac{5}{36}$ , $4\to2: \frac{3}{16}$ , $4\to3: \frac{7}{144}$
$4\to3$ gives the least energy (longest wavelength).
So the answer is (d) $4 \rightarrow 3$ .

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