Practice Propagating Uncertainties in Calculations - 11.1.5 | Chapter 11: Measurement and Data Processing | IB Grade 12-Chemistry
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11.1.5 - Propagating Uncertainties in Calculations

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

If a length is measured as 25.0 ± 0.5 cm and another length is 10.0 ± 0.2 cm, what is the total length when added together?

💡 Hint: Remember to add the absolute uncertainties.

Question 2

Easy

You measured a mass as 75.0 ± 0.3 g and another mass as 30.0 ± 0.2 g. What is the uncertainty in their sum?

💡 Hint: Add the uncertainties.

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 should you do with absolute uncertainties when adding two measurements?

  • Multiply them
  • Add them
  • Ignore them

💡 Hint: Think about combining two uncertainty ranges.

Question 2

If you have two mass measurements, 50 g ± 2 g and 30 g ± 1 g, what is the uncertainty of their sum?

💡 Hint: Break down the addition step-by-step.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You need to find the work done, using the formula W = F × d, where F = 200.0 ± 1.0 N and d = 50.0 ± 0.5 m. Calculate the work done and the uncertainty.

💡 Hint: Break down each measurement's uncertainty into percentage form before multiplying.

Question 2

A car's speed is calculated from the formula v = d/t. If d = 120.0 ± 0.5 m and t = 3.0 ± 0.1 s, find the speed and uncertainty.

💡 Hint: Remember to calculate the percentage uncertainty for both measurements before finding the overall uncertainty.

Challenge and get performance evaluation