Question

light and matter begin date: 9/2/2025 12:01:00 am due date: 9/5/2025 11:59:00 pm end date: 9/8/2025 11:59:00 pm problem 25: (3% of assignment value) ranking the figure above illustrates an energy - level diagram for hydrogen, with several electron transitions indicated by arrows. arrange the letters corresponding to each transition in order of the emitted wavelength, from longest to shortest. (assume the spacing of the lines is an accurate indicator of their relative energy levels.) longest shortest a b c d e f grade summary deductions 0% potential 100% submissions attempt(s) remaining: 999 2% deduction per attempt detailed view 999 submission(s) remaining hints: 0% deduction per hint. hints remaining: 3 feedback: 0% deduction per feedback.

Explanation:

Step1: Recall energy - wavelength relation

The energy of a photon emitted during an electron transition is given by $E = h
u=\frac{hc}{\lambda}$, where $h$ is Planck's constant, $
u$ is frequency, $c$ is the speed of light and $\lambda$ is wavelength. So, $\lambda=\frac{hc}{E}$, which means longer wavelength corresponds to lower - energy transition.

Step2: Analyze energy of transitions

The energy of an electron transition in a hydrogen atom is $\Delta E=E_{final}-E_{initial}$. The larger the vertical distance between the initial and final energy levels in the energy - level diagram, the larger the energy of the emitted photon.

Step3: Rank the transitions

By observing the energy - level diagram, we can see that the transition with the smallest energy change will have the longest wavelength and the transition with the largest energy change will have the shortest wavelength.

Answer:

A, B, C, D, E, F