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A student measures the mass of a sample as 50.0 g with an uncertainty of ±0.2 g. If they measure another sample with a mass of 30.0 g and an uncertainty of ±0.1 g, what is the combined uncertainty when calculating the total mass?

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MCQ

Type

practice

Style

Topic

Limitation of physical measurements

Exam-style question

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A student measures the mass of a sample as 50.0 g with an uncertainty of ±0.2 g. If they measure another sample with a mass of 30.0 g and an uncertainty of ±0.1 g, what is the combined uncertainty when calculating the total mass?.

  1. A.±0.3 g
  2. B.±0.4 g
  3. C.±0.5 g
  4. D.±0.6 g

Model answer

What a good answer should say

  • ±0.3 g

Explanation

Why this works

When adding measurements, the absolute uncertainties add up. Thus, combined uncertainty = ±0.2 g + ±0.1 g = ±0.3 g.

Therefore, the combined uncertainty in the total mass is ±0.3 g.

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