【exam] electron's angular velocity

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bes

Jun 2015
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I only know w= eB/m, and how can I calculate dw?





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As described in the Bohr model, an electron is circularly orbiting a proton in a hydrogen atom with radius r and velocity v. The orbital angular momentum of the electron is in the + z direction.

Now suppose a weak (in the sense that eB « 2mw, where w is the original angular frequency) magnetic field B(+ z direction) is turned on normal to the plane of this orbit. The original angular frequency w becomes w' = w + dw.
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Suppose the orbital radius is unchanged. What is dw?

Ans: dw= eB/2m (m is mass)
 

topsquark

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