In a hydrogen atom,which of the following tra | vedclass

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(C) The energy of an emitted photon is given by $E = h
u$,where $h$ is Planck's constant and $
u$ is the frequency.Since $
u = E/h$,the highest fre

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$n = 2$ to $n = 1$

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(C) The energy of an emitted photon is given by $E = h
u$,where $h$ is Planck's constant and $
u$ is the frequency.Since $
u = E/h$,the highest frequency corresponds to the transition with the largest energy difference $\Delta E$.For a hydrogen atom,the energy of a level $n$ is $E_n = -13.6/n^2 \ eV$.Transitions involving absorption (like $n=1$ to $n=2$ or $n=2$ to $n=6$) do not emit photons.Comparing emission transitions: For $n=6$ to $n=2$,$\Delta E = 13.6 	imes (1/2^2 - 1/6^2) = 13.6 	imes (1/4 - 1/36) = 13.6 	imes (8/36) \approx 3.02 \ eV$.For $n=2$ to $n=1$,$\Delta E = 13.6 	imes (1/1^2 - 1/2^2) = 13.6 	imes (1 - 1/4) = 13.6 	imes (3/4) = 10.2 \ eV$.Since $10.2 \ eV > 3.02 \ eV$,the transition from $n=2$ to $n=1$ releases the highest energy and thus emits a photon of the highest frequency.

In a hydrogen atom,which of the following transitions will emit a photon of the highest frequency?

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