#1 by schedule: The Millikan-Fletcher Experiment 1. The working formula for the
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Question
#1 by schedule: The Millikan-Fletcher Experiment 1. The working formula for the electric charge (Eq.(13) in the text) contains a constant involving the properties of the gas environment, the plastic sphere, and the electric field chamber combined in Eq. (12). List these properties, together with their Sl units of measurement. 2. Suppose you performed the experiment in atmosphere of Argon at 25 deg. C, (viscosity of argon is 2.26X10^-5 N.sm^2 at that temperature), and measured terminal speed of 2.64X10 5 m/s and weight- neutralizing voltage of 35.0 V. How many electrons have been attached to, or detached from the initially neutral plastic sphere? For the additional quantities involved, use the data given in the text.Explanation / Answer
1. the working formula of the charge has constant involving properties of gaqs environmenr, plastic sphere, electric field chamber
out of these
prperty of gas chamber = viscosity, neta
SI units of viscosity = N s/ m^2 = kg / m s
property of sphere
density = rho
SI unit = kg/m^3
radius = r
SI unit meter m
Properties of electric field chamber = voltage V
SI unit = Volts (V)
2. given, gas environment is of argon, neta = 2.26*10^-5 Ns/m^2
terminal speed, vt = 2.64*10^-5 m/s
neutralising voltage V = 35 V
let diameter of sphere be d and density be rho
then
q = -(36*pi*d/sqroot(g*rho))(neta/2)^3/2*(vt^3/2)/V
q = -[36.0908*d/sqroot(rho)](2.26*10^-5*2.64*10^-5/2)^3/2 *(1/35)
q = -5.3131*10^-15 * d/sqroot(rho)
so number of electrons = n
n(-1.6*10^-19) = -5.3131*10^-15 * d/sqroot(rho)
n = 33207.27*d/sqroot(rho)
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