Question

Consider an electron undergoing cyclotron motion in a magnetic field. According to Bohr, 

the electron’s angular momentum must be quantized in units of reduced Planck 

constant ℏ, which is defined as ℏ = ℎ/2?.

a. Show that the allowed radii for the electron’s orbit are given by ?) = *)ℏ

+,, where ? =

1,2,3 … [Hint: The Bohr condition on the electron’s angular momentum is ??)?) =

?ℏ] [35 Marks]

b. Compute the first four allowed radii in a magnetic field of strength 1.0 T. [15 Marks]


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Answer 1

Answer:

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