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Ratio of wavelengths of two transitions shown in a figure is x/32: find x

The same question, asked 2 times: 4 May 2023 S1, 13 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    4 May 2023 S1

    48
    For hydrogen atom, λ1\lambda_1 and λ2\lambda_2 are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure [transition 1: n=3→1n=3\to1; transition 2: n=2→1n=2\to1]. The ratio of λ1\lambda_1 and λ2\lambda_2 is x32\frac{x}{32}. The value of xx is

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  2. Question 2

    13 Apr 2026 S2

    147
    For hydrogen atom, λ1\lambda_1 and λ2\lambda_2 are the wavelengths corresponding to the transitions 11 and 22 respectively as shown in figure. The ratio of λ1\lambda_1 and λ2\lambda_2 is x/32x/32. The value of xx is

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