Suppose you measure the density of an unknown fluid to be 9265kg⋅m−3 with an uncertainty of 100kg⋅m−3 .Which of these are correct ways of writing the measurement in the proper format and in SI units?Group of answer choices(9.3±0.1)×104kg⋅m−3 (9.3±0.1)×103kg⋅m−3 (9300±100)kg⋅m−3 (9265±100)kg⋅m−3 (9.3±100)×104kg⋅m−3
Question
Suppose you measure the density of an unknown fluid to be 9265kg⋅m−3 with an uncertainty of 100kg⋅m−3 .Which of these are correct ways of writing the measurement in the proper format and in SI units?Group of answer choices(9.3±0.1)×104kg⋅m−3 (9.3±0.1)×103kg⋅m−3 (9300±100)kg⋅m−3 (9265±100)kg⋅m−3 (9.3±100)×104kg⋅m−3
Solution
The correct ways of writing the measurement in the proper format and in SI units are:
(9.3±0.1)×10^3 kg⋅m−3
(9300±100)kg⋅m−3
(9265±100)kg⋅m−3
The first option is correct because 9265 kg⋅m−3 is approximately equal to 9.3×10^3 kg⋅m−3 and the uncertainty is correctly represented as 0.1×10^3 kg⋅m−3.
The second option is correct because it directly states the measured density and its uncertainty in kg⋅m−3.
The third option is also correct because it directly states the measured density and its uncertainty in kg⋅m−3.
The other options are incorrect because they either misrepresent the measured density or its uncertainty.
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