Answer: The percentage relative uncertainty for 8.8mm is 1.1%
Explanation: We are given a length which is 8.8mm and we are asked to write the percentage relative uncertainty for this number.
The uncertainty for this number is not specified, then we assume that it is [tex]\pm {1}[/tex] in the final digit of the given number. Hence, the absolute uncertainty associated with the given number will be [tex]\pm {0.1}mm[/tex]
Formula for percentage relative uncertainty is given by:
[tex]\%\text{ relative uncertainty}=\frac{\text{Absolute uncertainty}}{\text{True value}}\times 100[/tex]
Putting the values, in above equation, we get
[tex]\% \text{ relative uncertainty}=\frac{0.1}{8.8}\times 100[/tex]
[tex]\% \text{ relative uncertainty}=1.136\%\approx 1.1\%[/tex]
