An unknown magnetic field produces a set of lines for a transition from a state with l = 3 to one with l = 2, between which there is a maximum energy difference of 6.1x10-4 eV. How many lines are there? What is the magnitude of the field?
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Consider a H-atom in a magnetic field. Sketch the possible transitions between the n = 3, l = 2 and n = 2, l = 1 levels. Which lines will not appear if we require that ml = 1,0 and -1 only? How many different frequencies will be seen in the spectrum? What will be the frequencies of the lines be if the magnetic field has a magnitude B = 4T ?
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The transitions Δml = -3 , 3 , -2 ,2 are not allowed
The allowed trasitions Δml = -1 ,0 ,1 only
number of transitions 9
Energy of the trasitions ΔE = Δml μB B
Here B magetic field , μB = bohr magnton = 9.264*10^-24 J/ T
frequencies f = hc / ΔE
Here h = 6.63*10^-34 J.s
c = 3*10^8 m/s
plug all values for corresponding Δml
The allowed trasitions Δml = -1 ,0 ,1 only
number of transitions 9
Energy of the trasitions ΔE = Δml μB B
Here B magetic field , μB = bohr magnton = 9.264*10^-24 J/ T
frequencies f = hc / ΔE
Here h = 6.63*10^-34 J.s
c = 3*10^8 m/s
plug all values for corresponding Δml
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