6. Laboratory Methods

Error Analysis — Quiz

Test your understanding of error analysis with 5 practice questions.

Practice Questions

Question 1

When combining two independent measurements, $A = 10.0 \pm 0.5$ and $B = 5.0 \pm 0.3$, through division to get $R = A / B$, what is the absolute uncertainty in $R$?

Question 2

What is the primary purpose of a 'least squares fit' in experimental data analysis?

Question 3

Which of the following statements accurately describes the relationship between accuracy and precision in experimental measurements?

Question 4

When calculating the uncertainty in a quantity $Z$ that is a function of multiple independent variables $X, Y, \dots$, i.e., $Z = f(X, Y, \dots)$, what is the general formula for the absolute uncertainty $\Delta Z$?

Question 5

A student measures the length of a pendulum as $L = 0.98 \pm 0.02$ m and the period of oscillation as $T = 1.98 \pm 0.04$ s. If the acceleration due to gravity is calculated using the formula $g = \frac{4\pi^2 L}{T^2}$, what is the percentage uncertainty in the calculated value of $g$?