11.1.5.3 - For Powers (and Roots)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the percentage uncertainty in a measurement of 10.0 Β± 0.2 g?

πŸ’‘ Hint: Divide the absolute uncertainty by the measured value.

Question 2

Easy

If a volume is measured as 3.0 Β± 0.1 L, what is the absolute uncertainty?

πŸ’‘ Hint: It's given directly in the measurement.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What happens to percentage uncertainty when you square a value?

  • It decreases
  • It remains the same
  • It doubles

πŸ’‘ Hint: Remember the percentage uncertainty formula.

Question 2

True or False: The absolute uncertainty decreases when a measurement is multiplied by a number.

  • True
  • False

πŸ’‘ Hint: Consider how uncertainties scale with multiplication.

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Challenge Problems

Push your limits with challenges.

Question 1

A cylinder's height is measured as 10.0 Β± 0.5 cm and the diameter as 4.0 Β± 0.1 cm. Calculate the volume and the percentage uncertainty in that volume.

πŸ’‘ Hint: Don’t forget that the height contributes to the final uncertainty along with the diameter.

Question 2

A temperature of 25 Β± 0.5 Β°C affects the volume directly measured as 1.5 L Β± 0.02 L. Calculate the volume at this temperature while considering the uncertainties.

πŸ’‘ Hint: Always account for how temperature fluctuations impact measurements in conjunction with uncertainties!

Challenge and get performance evaluation