28. Which transition in an excited hydrogen atom will emit the longest wavelength of light?1 pointE5 to E1E4 to E1E3 to E1E2 to E1

The transition that will emit the longest wavelength of light in an excited hydrogen atom is E2 to E1.

Here's why:

The wavelength of light emitted during a transition is determined by the energy difference between the two energy levels. The greater the energy difference, the shorter the wavelength of light emitted.

In a hydrogen atom, the energy levels are quantized and the energy difference between levels decreases as you move further from the nucleus. This means that the energy difference (and thus the frequency and inversely the wavelength of the emitted light) is greatest for transitions to the ground state (E1) from higher energy levels.

Among the options given, the transition from E2 to E1 involves the smallest energy difference. Therefore, this transition will result in the emission of light with the longest wavelength.