12.Expressing the precision of a scientific calculation (based upon measured dat
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Question
12.Expressing the precision of a scientific calculation (based upon measured data with inherent inaccuracies) is an important concept. For example, a quantity is known to have a value between 20.4 and 20.0 is guessed to have a midrange value of 20.2. The value could be written as 20.2 +/- 0.2 with a 1% uncertainty with three significant figures. Identify the precision of the square of the value
Expressing the precision of a scientific calculation (based upon measured data with inherent inaccuracies) is an important concept. For example, a quantity is known to have a value between 204 and 20 0 s guessed to have a midrange value of 20. The value could be written as 202?02 with a 1% u ny three significant figures. Identify the precision of the square of the value. O A. A number with 2% uncertainty and 2 significant figures. O B. A number with 2% uncertainty and 3 significant figures. ° C. A number with 1% uncertainty and 3 significant figures. D. A number with 1% uncertainty and 2 significant figures.Explanation / Answer
Answer should be option B
Given number 20.4 and 20.0
Square both number we get 416.16 and 400.00
Mid range value 408.80
It can also write as 408.80 +/- 7.26 with an error of 2% uncertainty up to three significant digits.
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