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dinospamoni
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Homework Statement
The magnetic field in a Stern-Gerlach experiment varies along the vertical direction so that the magnetic field increases by 26.00 T each centimeter. The horizontal length of the magnet is 7.1 cm, and the speed of the silver atoms is 922 m/s. The mass of the silver atom is 1.800×10-25 kg. What is the separation of the two silver atom beams as they leave the magnet?
Homework Equations
[itex] F = - \nabla V [/itex]
[itex] F_{z} = - m_{l} \mu_{B} \frac{dB_z}{dz} [/itex]
[itex] B = 2600 z [/itex]
where z is the vertical position
The Attempt at a Solution
I started out thinking I was looking for an angle between the two paths, so I found
F = -2600
and [itex] F_z = - \mu_B (2600) [/itex]
solving for theta:
[itex]\theta = tan^{-1}(\frac{-2600\mu_{B}}{-2600})[/itex]
which simplifies to [itex] tan^{-1}(\mu_B)[/itex]
and that doesn't sit well with me.
Any ideas?
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