The resistance R (in ohms) of a cylindrical conductor is given by R =
where l is the length, d is the diameter, and k is a constant of proportionality. Assume that l = 14.0 ±0.1 cm and d = 4.4 ± 0.1 cm.
a. Estimate R, and find the uncertainty in the estimate. Your answer will be in terms of the proportionality constant k.
b. Which would provide the greater reduction in the uncertainty in R: reducing the uncertainty in l to 0.05 cm or reducing the uncertainty in d to 0.05 cm?
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