A physical quantity A is dependent on other four physical quantities p , q , r and s as given by A = p q r 2 s 3 . The percentage error of measurement in p , q , r and s are 1%, 3%, 0.5% and 0.33% res

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A physical quantity A is dependent on other four physical quantities p , q , r and s as given by A = p q r 2 s 3 . The percentage error of measurement in p , q , r and s are 1%, 3%, 0.5% and 0.33% respectively, then the maximum percentage error in A is

TestHub · Accepted Answer

% error in A = 1 2 ( % error in p ) + 1 2 ( % error in q ) + 2 ( % error in r ) + 3 ( % error in s ) = 1 2 ( 1 ) + 1 2 ( 3 ) + 2 ( 0.5 ) + 3 ( 0.33 ) = 0.5 + 1.5 + 1 + 0.99 ≈ 4 %

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