A physical quantity ρ is related to four variables α , β , γ and η as ρ = α 3 β 2 η γ . The percentage errors of measurements in α , β , γ and η are 1 % , 3 % , 4 % and 2 % respectively. Find the perc

Question

A physical quantity ρ is related to four variables α , β , γ and η as ρ = α 3 β 2 η γ . The percentage errors of measurements in α , β , γ and η are 1 % , 3 % , 4 % and 2 % respectively. Find the percentage error in ρ .

TestHub · Accepted Answer

% error in ρ = 3 ( % error in α ) + 2 ( % error in β ) + 1 2 ( % error in γ ) + ( % error in η ) = 3 ( 1 ) + 2 ( 3 ) + 1 2 ( 4 ) + 2 = 13 %

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