Question

a physical quantity X is connected from X = ab^2/C. calculate the percentage error in X when percentage error in a,b, and c are 4,2, and 3 respectively.​

Answer 1

Answer :

% Error in measurement of a = 4%

% Error in measurement of b = 2%

% Error in measurement of c = 3%

We have to find percentage error in measurement of x$.$

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⇒ x = ab²/c

⇒ %(Δx/x)

⇒ [Δa/a+2Δb/b+Δc/c]×100

⇒ 4% + 2(2%) + 3%)

⇒ 4% + 4% + 3%

⇒ 11%