Part A If you treat an electron as a classical spherical object with a radius of

Question

Part A

If you treat an electron as a classical spherical object with a radius of 1.7×1017m, what angular speed is necessary to produce a spin angular momentum of magnitude 34?

Part B

Use v=r and the result of part A to calculate the speed v of a point at the electron's equator.

Part C

What does your result suggest about the validity of this model?

Part A h? rad/s Submit My Answers Give Up Part B Use u = rw and the result of part A to calculate the speed u of a point at the electron's equator m/s Submit My Answers Give Up Part C What does your result suggest about the validity of this model? this model is invalid this model is valid

Explanation / Answer

a)

Moments of inertia of solid sphere with radius r:

I = (2/5)mr²

L = I = (2/5)mr² = sqrt(3/4)

= sqrt(3/4) / (2/5)mr²

= sqrt(3/4)(6.63*10^-34/2pi) / (2/5)*(9.11*10^-31)*(1.7*10^-17)^2

= 8.68 x 10^29 rad/s

b)

v = r

= (1.7*10^-17)(8.68*10^29)

= 1.48 x 10^13 m/s

c)

This model is invalid

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