Question #154870

In Stern-Gerlach experiment, calculate the force being exerted on the silver atoms due to the inhomogeneous magnetic field and hence calculate the maximum displacement occurs between the traces. 



1
Expert's answer
2021-01-11T11:34:49-0500

Answer

The inhomogenous of the magnetic field means that the atoms experience a sideways force given by

Fz=dUdzF_z=-\frac{d U}{dz}

Where U = −µ · B = −µzB is the potential energy of the silver atom in the magneic field becomes as

Fz=μzdUdzF_z=\mu_z\frac{d U}{dz}

Now,

maximum displacement occurs between the trace is given by

Z=Fz((d1(d1/2+d2))MV2)Z=F_z(\frac{(d_1(d_1/2+d_2)) }{MV^2})

Diagram can be shown as


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