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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a
λ=hcE1+E2
b
λ=2hcE1+E2
c
λ=2hcE1−E2
d
λ=hcE1−E2
answer is D.
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Detailed Solution
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