An atom of a fictional element has the energy level diagram shown below. Which line will not appear on the total emission spectrum?0.9 eV0.8 eV0.7 eV0.6 eV

To determine which line will not appear on the total emission spectrum of the fictional element, we need to analyze the energy levels and transitions.

1. Break Down the Problem

   • Understand the energy levels given: 0.9 eV, 0.8 eV, 0.7 eV, and 0.6 eV.
   • Determine the possible transitions between these energy levels that produce emission lines.

2. Relevant Concepts

   • When an electron transitions from a higher energy level to a lower one, it emits a photon with energy equal to the difference between the two energy levels.
   • The emitted energy can be calculated as: $E = E_{\text{higher}} - E_{\text{lower}}$

3. Analysis and Detail

   • Possible transitions:

     1. From 0.9 eV to 0.8 eV: $E = 0.9 - 0.8 = 0.1 \text{ eV}$
     2. From 0.9 eV to 0.7 eV: $E = 0.9 - 0.7 = 0.2 \text{ eV}$
     3. From 0.9 eV to 0.6 eV: $E = 0.9 - 0.6 = 0.3 \text{ eV}$
     4. From 0.8 eV to 0.7 eV: $E = 0.8 - 0.7 = 0.1 \text{ eV}$
     5. From 0.8 eV to 0.6 eV: $E = 0.8 - 0.6 = 0.2 \text{ eV}$
     6. From 0.7 eV to 0.6 eV: $E = 0.7 - 0.6 = 0.1 \text{ eV}$

   • Evaluate the transitions:

     • The minimum emission line corresponds to the transitions where energy differences are produced.
     • Possible energies emitted:
       • 0.1 eV (from 0.9 to 0.8 and from 0.8 to 0.7, etc.)
       • 0.2 eV (from 0.9 to 0.7 and from 0.8 to 0.6)
       • 0.3 eV (from 0.9 to 0.6)
     • Since each energy transition corresponds to emission lines, we check which energy values are possible:
       • Lines generated: 0.1 eV, 0.2 eV, 0.3 eV

4. Verify and Summarize

   • Based on the analysis, there are no transitions resulting in an emission line of energy 0.9 eV, as this corresponds to no valid transitions based on the listed energy levels.

Final Answer

The line that will not appear on the total emission spectrum is 0.9 eV.