The force of attraction between the positively charged nucleus and the electron in a hydrogen atom is given by $$F = \frac{1}{4\pi\epsilon_0}\frac{e^2}{r^2}$$. Assume that the nucleus is fixed. The electron, initially moving in an orbit of radius $$R_1$$, jumps into an orbit of smaller radius $$R_2$$. The decrease in the total energy of the atom is

A

$$\frac{e^2}{8\pi\epsilon_0}\left(\frac{1}{R_2} - \frac{1}{R_1}\right)$$

B

$$\frac{e^2}{4\pi\epsilon_0}\left(\frac{1}{R_2} - \frac{1}{R_1}\right)$$

C

$$\frac{e^2}{8\pi\epsilon_0}\left(\frac{1}{R_1} - \frac{1}{R_2}\right)$$

D

$$\frac{e^2}{2\pi\epsilon_0}\left(\frac{1}{R_2} - \frac{1}{R_1}\right)$$