As indicated in the text, according to the Standard Model of Particle Physics, e

Question

As indicated in the text, according to the Standard Model of Particle Physics, electrons are pointlike particles having no spatial extent. (This assumption has been confirmed experimentally, and the radius of the electron has been shown to be less than 10-18 m.) The intrinsic spin of an electron could in principle be due to its rotation. Let us check to see if this conclusion is feasible.

(a) Assuming that the electron is a uniform sphere whose radius is 1.00 10-18 m, what angular speed would be necessary to produce the observed intrinsic angular momentum of /2?
_______rad/s

(b) Using this value of angular speed, show that the speed of a point on the "equator" of a "spinning" electron would be moving faster than the speed of light.
________m/s

Explanation / Answer

a. L=I*omega (where I= (2/5)*mr^2) h-bar = 6.626e-34/(2*pi) h-bar/2 = (2/5)*(9.11e-31)*(1e-18)^2*(omega) omega= 1.45e32 rad/s b. omega*r = 1.45e14 m/s

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