1.

The resistance of a wire is given by the expression R=4ρLπD2,where, ρ is the resistivity (in Omega−meter), L is the length (in meter) and D is the diameter (in meter) of the wire. The error in measurement of each of the parameters ρ, L and D is ±1.0%. Assuming that the errors are independent random variables, the percent error in measurement of R is 2.45

Answer» The resistance of a wire is given by the expression



R=4ρLπD2,



where, ρ is the resistivity (in Omegameter), L is the length (in meter) and D is the diameter (in meter) of the wire. The error in measurement of each of the parameters ρ, L and D is ±1.0%. Assuming that the errors are independent random variables, the percent error in measurement of R is
  1. 2.45


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