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The figure below shows the known energy level diagram for a hypothetical ... ...

The figure below shows the known energy level diagram for a hypothetical atom. A brilliant young scientist discovers a new spectral line with frequency 4.8 x 10¹⁴ Hz, which she determines is a transition from the ground state to an excited state. What is the energy of the (excited) quantum state she has discovered? (Use h = 4.14 x 10^–15 ev s and c = 3.0 x 10⁸ m/s.)