Critical Thinking

(a) For carbon, calculate the energy when an electron falls from $n = 3$ to $n = 2$, then from $n = 2$ to $n = 1$. Then add these for the total energy released in the process. (b) Calculate the energy released when the electron falls directly from $n = 3$ to $n = 1$. (c) Are the energies in part a and in part b the same?