Practice Powers or Exponentials - 1.5.2.3 | Unit 11: Measurement and Data Processing | IB Grade 11: Chemistry
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1.5.2.3 - Powers or Exponentials

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for uncertainty propagation when a measurement is raised to a power?

💡 Hint: Think about how the exponent n influences the uncertainty.

Question 2

Easy

If measurement x has an uncertainty of 2 and is cubed, what is the multiplied uncertainty?

💡 Hint: Recall how multiplying relates to powers.

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 relationship represented by δQ/Q = |n| × (δx/x)?

  • It determines how to average different measurements.
  • It describes the uncertainty propagation for powers.
  • It changes the value of x based on measurements.

💡 Hint: Focus on uncertainty handling in mathematical operations.

Question 2

True or False: Exponential growth measurements do not require uncertainty consideration.

  • True
  • False

💡 Hint: Remember how growth behavior influences the results.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A variable x is measured as 5 ± 0.05 m. Calculate the resulting uncertainty when x is cubed.

💡 Hint: Remember to apply both the power and multiplication rules in uncertainty.

Question 2

An experiment notes a mass change in a reaction where uncertainty is 1% and the mass is measured at 200 g. If this mass is part of an exponential decay model, what’s the new uncertainty effecting the result?

💡 Hint: Keep in mind the consistent nature of relative uncertainties in exponential models.

Challenge and get performance evaluation