A physical quantity Q is found to depend on quantities a, b, c by the relation Q=(a⁴b³)/(c²). The percentage error in a, b and c are 3%, 4% and 5% respectively. Then, the percentage error in Q is

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(3) 34%. Idea: for a product of powers the fractional errors add, weighted by the magnitude of each exponent. A negative exponent still adds. (Δ Q)/Q=4(Δ a)/a+3(Δ b)/b+2(Δ c)/c =4(3%)+3(4%)+2(5%) =12%+12%+10%=34%.

A physical quantity Q is found to depend on quantities a, b, c by the relation Q=(a⁴b³)/(c²). The percentage error in a, b and c are 3%, 4% and 5% respectively. Then, the percentage error in Q is

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