Question

: a)In class we showed that the power radiated by a point charge n (he Larmor formula ofit' (t ed An electron is released from rest and falls under the ine of gawiy fraction of the potential energy lost is radiated away? (10 pt) gravity. In the first centimeter, what (Please show/explain your work) b) In Bohr's theory of the atom, an electron in its ground state was supposed to travel in a circle, held in orbit by the Coulomb attraction of the proton. Based on what you learned in this class,explain why the classical model of the atom is unstable, and why this was one of the big failures ht lunched the quantum revolution.(5 pts)

Answer 1

Suppose electron fall from height 'h' the effect of gravity time it take to reach an earth is, Pi = 1/2 gt^2: g = 9.8 m/sec^2 t = squareroot 2h/g power radiated by the electron (as per law mass formula) p = e^2 a^2/6 pi epsilon_0 c^3: here a = g therefore p = E/t therefore E_radiated = p t = e^2 g^2/6 pi epsilon_0 c^3 squareroot 2h/g at height 'h' E p = m_e g h therefore fraction of potential energy lost is radiated waves is E_rad/E_pot = = e^2 g^2/6 pi epsilon_0 c^3 squareroot 2h/g 1/m_e g h \r\n In Bohr theory we said that e^- move around the nucleus due to electrostatic attraction. The orbit of e^- is circular. But if electron resolve around proton (i.e nuclei) continuously if definitely radiated same energy continuously. so if e^- energy decreases continuously, then orbit of e^-1