Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
Four research teams measured the rotation period of a newly detected neutron star, and what each team wrote in its team notebook is shown in the table below.

Suppose a later and more reliable measurement gives 0.190 s for the period of the same star. Decide which of the earlier measurements was the most accurate, and which was the most precise.

\[
\begin{array}{|c|c|c|c|}
\hline
\text{team} & \text{what was written in the notebook} & \text{most accurate measurement} & \text{most precise measurement} \\
\hline
\text{A} & \text{"between 0.165s and 0.175s"} & \bigcirc & \bigcirc \\
\hline
\text{B} & \text{"0.188s} \pm \text{0.002s"} & \bigcirc & \bigcirc \\
\hline
\text{C} & \text{"0.20s"} & \bigcirc & \bigcirc \\
\hline
\text{D} & \text{"0.180s} \pm \text{0.60\%"} & \bigcirc & \bigcirc \\
\hline
\end{array}
\]
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Transcribed Image Text:Four research teams measured the rotation period of a newly detected neutron star, and what each team wrote in its team notebook is shown in the table below. Suppose a later and more reliable measurement gives 0.190 s for the period of the same star. Decide which of the earlier measurements was the most accurate, and which was the most precise. \[ \begin{array}{|c|c|c|c|} \hline \text{team} & \text{what was written in the notebook} & \text{most accurate measurement} & \text{most precise measurement} \\ \hline \text{A} & \text{"between 0.165s and 0.175s"} & \bigcirc & \bigcirc \\ \hline \text{B} & \text{"0.188s} \pm \text{0.002s"} & \bigcirc & \bigcirc \\ \hline \text{C} & \text{"0.20s"} & \bigcirc & \bigcirc \\ \hline \text{D} & \text{"0.180s} \pm \text{0.60\%"} & \bigcirc & \bigcirc \\ \hline \end{array} \]
Expert Solution
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Step 1

Given the most accepted value measured from the most reliable measurement = 0.190 s

A measurement is said to be accurate when it is very close to the accepted value. 

A measurement is said to be precise when the measured values are very much close to each other irrespective of the accepted value.

Hence smaller the value of uncertainty in measurement, the more precise is the measurement.

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