This problem illustrates the ideas behind the Millikan oil drop experiment–the first measurement of the electron charge. Millikan examined a fine spray of spherical oil droplets falling through air: the drops had picked up an electric charge as they were sprayed through an atomizer. He measured the terminal speed υ 1 of a drop when there was no electric field and then the electric field Ethat kept the drop motionless between the plates of a capacitor (plate spacing d) .(a) With no electric field the forces acting on the oil droplet were the gravitational force. the buoyant force. and viscous drag. The drop lets used were so tiny (a radius of abo µm) that they rapidly reached terminal velocity. Find the radius Rof a drop in terms of υt,gthe densities of the oil and of air Poilund and the viscosity of air η.(b) Find the charge qof a drop in terms of x, e, d. r. g. Poil and The drag force is now zero because the drop is at resr.]
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