data which is expressed in form of following way
[tex]a = a_o + \Delta a[/tex]
here in above expression
[tex]a_o[/tex] = true value
[tex]\Delta a[/tex] = uncertainty in the value
now the relative uncertainty is given as
[tex]\frac{\Delta a}{a_o}[/tex]
now by above formula we can say
a) 2.70 ± 0.05cm
here
True value = 2.70
uncertainty = 0.05
Relative uncertainty = [tex]\frac{0.05}{2.70}[/tex] = 0.0185
b) 12.02 ± 0.08cm
here
True value = 12.02
uncertainty = 0.08
Relative uncertainty = [tex]\frac{0.08}{12.02}[/tex] = 0.00665
