If the measured value of two quantities are A +- ΔA and B +- ΔB , ΔA and ΔA being the mean absolute errors . What is the maximum possible error in A+- B ?
Show that if Z=A/B
ΔZ / Z = ΔA / A + Δ B / B
please answer this question its kinda important
Answers
Answer:
Repeated measurements often yield different values for the same quantity. What is the accuracy of a measurement and which instrument is the precise one? Let’s answer these questions and wander into the realm of measurements.
Accuracy and Precision
The accuracy of a measurement is its “closeness” or proximity to the true value or the actual value ( am ) of the quantity. Let a1,a2,a3,a4 … an be the ‘n’ measured values of a quantity ‘a’. Then its true value is defined as:
am = [ a1+a2+a3+a4….+an ]/n …. (1)
Suppose your height is 183 cm. If we measure it with some instrument (measuring tape and a fancy laser beam!) it comes out to be 182.9995 cm. Another measurement (with a meter rod and a 6th grader) yields a result of 195 cm. We can see that the value obtained from the first measurement is closer to the actual value (true value) of your height. So the first measurement is more accurate in comparison to the second one.