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An atom emits a spectral line of wavelength $λ$ when an electron makes a transition between levels of energy $E_{1}$ and $E_{2}$ . Which expression correctly relates $λ$ , $E_{1}$ and $E_{2}$ ?

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λ=hcE1+E2

λ=2hcE1+E2

λ=2hcE1−E2

λ=hcE1−E2

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detailed solution

Correct option is D

By quantum theory of radiation, the energy change ∆E between energy levels is proportional to the frequency of electromagnetic radiation f and is given byΔE=hf=hcλ Hence, λ=hcΔE=hcE1−E2

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An atom emits a spectral line of wavelength λ when an electron makes a transition between levels of energy E1 and E2. Which expression correctly relates λ, E1 and E2?

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An atom emits a spectral line of wavelength $λ$ when an electron makes a transition between levels of energy $E_{1}$ and $E_{2}$ . Which expression correctly relates $λ$ , $E_{1}$ and $E_{2}$ ?