Determine the energy change associated with the transition from in the hydrogen atom. A) +3.03 × 10^-19 J B) -1.82 × 10^-19 J C) +5.51 × 10^-19 J D) -3.03 × 10^-19 J E) +2.69 × 10^-19 J

Question

Quizplus · Accepted Answer

The energy change associated with the transition from n1 to n2 can be calculated using the formula:

ΔE = -Rhc(1/n2^2 - 1/n1^2)

where R is the Rydberg constant, h is Planck's constant, and c is the speed of light. Here, n1 = 11 and n2 = 2. Plugging in the values, we get:

ΔE = -[(2.18 × 10^-18 J)(3.00 × 10^8 m/s)]/(11^2 - 2^2) = -3.03 × 10^-19 J

The negative sign indicates that energy is released during the transition, which is consistent with the electron moving to a lower energy level. Therefore, Choice D is the best answer.

Determine the Energy Change Associated with the Transition from