Q)
(chatquestion)...According to classical electromagnetic theory, an accelerating electron radiates energy
at a rate Ke?a² /c³, where a is the acceleration, e is the electronic charge, c is the
velocity of light and K is a constant with a value of 6 x 109N m2 C-2. Suppose
that the motion of the electron can be represented by the expression x = A sin ot dur-
ing one cycle of its motion. (a) Show that the energy radiated during one cycle is
Ke?nw A? /c³. (b) Recalling that the total energy of a harmonic oscillator is maw² A?
where m is the mass, show that the quality factor Q is mc /Kew. (c) Using a typ-
ical value of w for a visible photon, estimate the 'lifetime' of the radiating system
(e = 1.6 x 10-19 C, mass of electron
9.1 x 10-31
kg).
...
