A physical quantity P is given as, P=(a²b³)/(c√d). The percentage errors in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be

Question

Accepted Answer

(1) 13%. Idea: the square root carries a weight of 1/2; every term adds in magnitude. (Δ P)/P=2(Δ a)/a+3(Δ b)/b+(Δ c)/c+1/2(Δ d)/d =2(1%)+3(2%)+1(3%)+1/2(4%) =2%+6%+3%+2%=13%.

A physical quantity P is given as, P=(a²b³)/(c√d). The percentage errors in the measurement of a, b, c and d are 1%, 2%, 3% and 4% respectively. The percentage error in the measurement of quantity P will be

Step-by-step solution

Why the other options are wrong