1.

Calculate the deflection of the beam of atoms from its axis in the Stern-Gerlach experiment for the following parameters of the apparatus: the length of pole pieces is 3.5 cm. the magnetic field gradient is of the order of 10^2 T//m. In the experiment silver atoms flying out of a "molecular oven" at a temperature of 730^@C were deflected. The projection of the magnetic moment of a silver atom on the direction of the magnetic induction vector is equal to a Bohr magneton.

Answer»


Solution :The FORCE acting on an atom whose magnetic moment is `p_(m)=PM mu_(B)" is "F=p_(m) (dB)/(dx)," where "(dB)/(DZ)` is the magnetic field gradient. The deflection is `H=at^2//2` where a=F/m, t=l/v. SUBSTITUTING, we obtain `h=(p_(m)l^2)/(2mv^2) (d B)/(dz)`
But `1//2 mv^2=3//2kT,` Therefore the final result is
`h=pm (mu_(B)l^2)/(6kT) (dB)/(dz)`


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