Finding the Quantum Number for Quantized Angular Momentum in Circular Motion

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To find the quantum number l for a classical electron in circular motion, one must relate the classical angular momentum to the quantized form. The angular momentum L is given by L=(h/2pi)√[l(l+1)], where h is Planck's constant. The classical angular momentum can be expressed as L_classical = mvr, where m is the mass and v is the velocity. To determine l, set L_classical equal to the quantized angular momentum equation and solve for l. This approach bridges classical mechanics and quantum mechanics, allowing for the calculation of the quantum number.
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Homework Statement


A classical electron in circular motion with radius r and velocity v.
How would you find the quantum number l that gives quantized angular momentum close to the angular momentum of the classical electron?

Homework Equations


p=mvr
L=(h/2pi)√[l(l+1)]


Can anyone point me in the right direction with such a question. Just can't figure this one out.
 
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Your 1st equation: p=mvr is incorrect.
 

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