Percentage uncertainty in length and width of a rectangle is 2% and 3%. The total uncertainty in the area of that rectangle is:
Correct answer: B. 5%
- A. 1.5%
- B. 5%
- C. 1%
- D. 6%
Explanation
The following is the solution:Area = length x widthRelative uncertainties are added, when two quantities are multiplied.For addition or subtraction: The uncertainties add up directly.For multiplication or division: The relative uncertainties (expressed as a fraction or percentage) add up directly. To obtain the absolute uncertainty, multiply the combined relative uncertainty by the result of the multiplication or division.For powers or roots: Multiply the absolute uncertainty by the power or root exponent.
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