Question

Suppose we have reason to suspect that a certain quantum object has only three quantum states. When we excite such an object we observe that it emits electromagnetic radiation of three different energies: $2.48eV$(green), $1.91eV$(orange), and $0.57eV$(infrared). (a) Propose two possible energy-level schemes for this system. (b) Explain how to use an absorption measurement to distinguish between the two proposed schemes.

Short answer

a) The value two possible energy levels $0.57eV$and $1.34eV$.

b) According to the energy absorbed by the lines.

Step-by-step solution

Identification of given data

Energies

$$\begin{gathered} 2.48eV \\ 1.91eV \\ 0.57eV \end{gathered}$$

Calculation of the possible energy level 

(a) We have three different energy levels

$$\begin{gathered} E_1=2.48eV \\ {E}_2=1.91eV \\ {E}_3=0.57eV \end{gathered}$$

$E_2-E_1=2.48-1.91=0.57eV$

$E_2-E_1=1.91-0.57=1.34eV$

Explanation

Absorption measurement is done with the help of using dark colour lines in the spectrum which means that the energy level absorbed by the lines will show their light and dark colour.