43 multiple choice 0.4 points determine the energy change associated with the transition from n = 3 to n = 2…

43 multiple choice 0.4 points determine the energy change associated with the transition from n = 3 to n = 2 in the hydrogen atom. -3.03×10 - 19 j -1.82×10 - 19 j +2.69×10 - 19 j +3.03×10 - 19 j +5.51×10 - 19 j

43 multiple choice 0.4 points determine the energy change associated with the transition from n = 3 to n = 2 in the hydrogen atom. -3.03×10 - 19 j -1.82×10 - 19 j +2.69×10 - 19 j +3.03×10 - 19 j +5.51×10 - 19 j

Answer

Explanation:

Step1: Use Rydberg formula for energy

$E = - 2.18\times10^{-18}\left(\frac{1}{n_f^{2}}-\frac{1}{n_i^{2}}\right)$ Here $n_i = 3$, $n_f=2$.

Step2: Substitute values

$E=- 2.18\times10^{-18}\left(\frac{1}{2^{2}}-\frac{1}{3^{2}}\right)= - 2.18\times10^{-18}\left(\frac{1}{4}-\frac{1}{9}\right)=+3.03\times10^{-19}\text{ J}$

Answer:

+3.03 × 10-19 J