Assume the following (incorrect!) classical picture ofthe electron intrinsic spin. Take

Chapter 7, Problem 44

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Assume the following (incorrect!) classical picture ofthe electron intrinsic spin. Take the electrical energyof the electron to be equal to its mass energy concentratedinto a spherical shell of radius R: e 24pP 0R mc 2 Calculate R (called the classical electron radius). Now letthis spherical shell rotate and calculate the tangentialspeed v along the spheres equator in order to obtainthe electron intrinsic spin. Use the equation Angular momentum Iv IvR U2 where I moment of inertia of a spherical shell 2mR2/3. Is the value of v obtained in this mannerconsistent with the theory of relativity? Explain.

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