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A student measures the length of a metal rod as 50.0 cm with a possible uncertainty of ±0.5 cm. What is the combined absolute uncertainty if the student measures the length of two rods?

Try the question, check the answer, then read the explanation to understand the curriculum point.

At a glance

MCQ

Type

practice

Style

Topic

Limitation of physical measurements

Exam-style question

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A student measures the length of a metal rod as 50.0 cm with a possible uncertainty of ±0.5 cm. What is the combined absolute uncertainty if the student measures the length of two rods?.

  1. A.±0.5 cm
  2. B.±1.0 cm
  3. C.±0.25 cm
  4. D.±2.0 cm

Model answer

What a good answer should say

  • ±1.0 cm

Explanation

Why this works

When measuring two rods, the absolute uncertainties add up. The formula for combined absolute uncertainty is: U_total = U1 + U2.

Substituting gives U_total = ±0.5 cm + ±0.5 cm = ±1.0 cm. Thus, the combined absolute uncertainty is ±1.0 cm.

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