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MHT CET 2026 (13 Apr, Shift 2) · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from MHT CET 2026 (13 Apr, Shift 2)

Q5MHT CET 2026 · 13 APR · SHIFT 2Medium

Transitions, Photon Emission & Excitation

For hydrogen atom, $\lambda_{1}$ and $\lambda_{2}$ are the wavelengths corresponding to the transitions $1$ and $2$ respectively as shown in figure. The ratio of $\lambda_{1}$ and $\lambda_{2}$ is $x/32$ . The value of $x$ is

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Answer: (b)

From the figure: transition 1 is $n=3\to1$ , transition 2 is $n=2\to1$ .
$\frac{1}{\lambda_1} \propto 1-\frac19 = \frac89$ ; $\frac{1}{\lambda_2} \propto 1-\frac14 = \frac34$
$\frac{\lambda_1}{\lambda_2} = \frac{3/4}{8/9} = \frac{27}{32}$
So $x = 27$ , answer (b) $27$ .

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