Determine the energy change associated with the transition from n = 3 to n = 2 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 n = 3 to n = 2 in the hydrogen atom can be calculated using the formula: ΔE = -R*(1/n2^2 - 1/n1^2), where R is the Rydberg constant (2.18 × 10^-18 J), n1 is the initial energy level (3), and n2 is the final energy level (2). Plugging in the values, we get: ΔE = -2.18 × 10^-18*(1/2^2 - 1/3^2) = -3.03 × 10^-19 J. The negative sign indicates that the energy is released during the transition. Thus, the best choice is D, which matches this value.

Determine the Energy Change Associated with the Transition from N