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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the combined uncertainty when measuring two lengths: 10.0 cm ± 0.2 cm and 5.0 cm ± 0.1 cm?
💡 Hint: Use the quadrature method for addition.
Question 2
Easy
If a weight of 300 g is measured with an uncertainty of ±2 g, what is the relative uncertainty?
💡 Hint: Calculate the relative uncertainty as a percentage.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for combined uncertainty in addition?
- δQ = (δx + δy)
- δQ = sqrt((δx)² + (δy)²)
- δQ = (δx * δy)
💡 Hint: Think about how we combine errors, especially with measurements.
Question 2
True or False: When multiplying two quantities, their absolute uncertainties simply add together.
- True
- False
💡 Hint: Consider how errors might change with larger values.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You measure three different lengths: 100.0 ± 0.1 m, 150.0 ± 0.2 m, and 50.0 ± 0.05 m. Calculate their total length and its uncertainty.
💡 Hint: Use quadrature for the uncertainties of each measurement.
Question 2
A sample’s concentration is found using the formula C = A/(ε*ℓ) where A = measured absorbance with uncertainty of ±0.01, ε = molar absorptivity with uncertainty of ±0.1, and ℓ is 1.0 cm with no uncertainty. Calculate C and its uncertainty.
💡 Hint: Remember the formulas for relative uncertainty when dividing.
Challenge and get performance evaluation