Convert the following absolute uncertainties to relative uncertainties.

a. 20.9 ± 0.4

b. 15.1 ± 0.8

c. 388 ± 23

d. 2.465 ± 0.009

Step 1 of 5:

Here we have to convert the given absolute uncertainties to relative uncertainties.

The absolute uncertainty is denoted by ‘’ and the relative uncertainty is denoted by ‘’.

Step 2 of 5:

(a)

Here we have to convert the given absolute uncertainty into relative uncertainty.

Given 20.90.4.

Here the absolute uncertainty is 0.4.

The relative uncertainty of 0.4 is given by,

= *100

=0.01914*100

=1.9138%

Thus,the relative uncertainty of 0.4 is 1.9138%.

Step 3 of 5:

(b)

We have to find the relative uncertainty to the given absolute uncertainty 15.10.8.

Here the absolute uncertainty is 0.8.

We have to find its relative uncertainty.

It is given by,

*100

=0.05298*100

=5.2980%

Thus the relative uncertainty of 0.8 is 5.2980%.