According to classical physics, a charge e moving with an acceleration a radiates energy at a rate dE 1 e?a? dt 6TE, c3 (a) Show that an electron in a classical hydrogen atom (see Fig. 41.5) spirals into the nucleus at a rate dr 1 dt 127'e,?m?c³ r2 (b) Find the time interval over which the electron reaches r= 0, starting from r, = 2.00 × 10-10 m. Because the accelerating electron radiates energy, the size of the orbit decreases until the electron falls into the nucleus. Figure 41.5 The classical model of the nuclear atom predicts that the atom decays and collapses.

According to classical physics, a charge e moving with an acceleration a radiates energy at a rate dE 1 e?a? dt 6TE, c3 (a) Show that an electron in a classical hydrogen atom (see Fig. 41.5) spirals into the nucleus at a rate dr 1 dt 127'e,?m?c³ r2 (b) Find the time interval over which the electron reaches r= 0, starting from r, = 2.00 × 10-10 m. Because the accelerating electron radiates energy, the size of the orbit decreases until the electron falls into the nucleus. Figure 41.5 The classical model of the nuclear atom predicts that the atom decays and collapses.