Question

A physical quantity is given by x=a2b/c3 .If the percentage errors of measurement in a,b and c are 3%,2%,1% respectively,then the percentage erron in x is

Answer 1

Answer:

5%

Step-by-step explanation:

x=a2b/c3

log x = 2loga + logb - 3 logc

differentiate

Δx/x = 2Δa/a+ Δb/b - 3Δc/c

% error in x = 2x3+ 2 - 3 = 5%