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A hydrogen atom initially in the ground level absorbs a photon which excites it to the n=4 level. The wave length of photon is

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1210A°

3644A°

4560A°

970 A°

answer is A.

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Detailed Solution

$\begin{aligned} E = E_{1} - E_{2} = hc / λ \\ λ = \frac{hc}{E_{1} - E_{2}} \\ \Rightarrow \frac{6.6 \times 10^{- 34} \times 3 \times 10^{8}}{13.67 - \frac{13.67}{16}} \\ \Rightarrow λ = 97 nm \end{aligned}$

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