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Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures.

a)6.2±0.2-4.1±0.1=?b)9.43±0.05×0.0160.001=?c)6.2±0.2-4.1±0.1÷9.43±0.05=?d)9.43±0.05×6.2±0.2×10-3+4.1±0.1×10-3

Short Answer

Expert verified

To calculate the absolute and percent relative uncertainty.

Step by step solution

01

To calculate absolute and percent relative uncertainty

Absoluteuncertainty=3.12(±0.05)a)6.2±0.2-4.1±0.1=2.1±0.2or±11%b)9.43±0.05×0.0160.001=0.151±0.09or±6%c)6.2±0.2-4.1±0.1÷9.43±0.05=0.223±0.024or±11%d)9.43±0.05×6.2±0.2×10-3+4.1±0.1×10-3=0.0971±0.0022or±2.2%

02

To calculate the percent relative uncertainty

Percent relative uncertainty with formula (e represents the ±value)

=e12+e22+e32

03

To obtain the absolute uncertainty

The following is the formula;

percentrelativeuncertainty/100×thevalueofa)2.1;b)0.151c)0.223d)0.0971

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