11.1.5.3 - For Powers (and Roots)
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Practice Questions
Test your understanding with targeted questions
What is the percentage uncertainty in a measurement of 10.0 ± 0.2 g?
💡 Hint: Divide the absolute uncertainty by the measured value.
If a volume is measured as 3.0 ± 0.1 L, what is the absolute uncertainty?
💡 Hint: It's given directly in the measurement.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What happens to percentage uncertainty when you square a value?
💡 Hint: Remember the percentage uncertainty formula.
True or False: The absolute uncertainty decreases when a measurement is multiplied by a number.
💡 Hint: Consider how uncertainties scale with multiplication.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A cylinder's height is measured as 10.0 ± 0.5 cm and the diameter as 4.0 ± 0.1 cm. Calculate the volume and the percentage uncertainty in that volume.
💡 Hint: Don’t forget that the height contributes to the final uncertainty along with the diameter.
A temperature of 25 ± 0.5 °C affects the volume directly measured as 1.5 L ± 0.02 L. Calculate the volume at this temperature while considering the uncertainties.
💡 Hint: Always account for how temperature fluctuations impact measurements in conjunction with uncertainties!
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