Most Accurate Length from Vernier Caliper Observations – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Error Analysis

Most Accurate Length from Vernier Caliper Observations

Following observations were taken with a vernier calliper while measuring the length of a cylinder: \(3.29 \text{cm}\), \(3.28 \text{cm}\), \(3.29 \text{cm}\), \(3.31 \text{cm}\), \(3.28 \text{cm}\). The most accurate length of the cylinder will be
\(3.28 \text{cm}\)
\(3.29 \text{cm}\)
\(3.32 \text{cm}\)
\(3.21 \text{cm}\)

Solution:

The most accurate value is the mean value of the observations. Mean length = \[\frac{3.29 + 3.28 + 3.29 + 3.31 + 3.28}{5} = \frac{16.45}{5} = 3.29 \text{cm}\].

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