You measure a quantity, say A, and it has a 1% uncertainty.
If you calculate the value of 100A, its uncertainty will be
a. 100%
b. 10%
c. 1%
d. Need more information since it depends on what A is.
c. The relative uncertaibty remains the same when you multiply by a constant.
its just a simple ratio problem
solution:
100A X
A 0.01
THEN THE EQUATION WILL BE
100A/A=X/0.01
To calculate the uncertainty for the value of 100A, you need to understand how uncertainties propagate in calculations. The general rule is that when you multiply or divide two quantities, the relative uncertainties are added.
In this case, the quantity A has a 1% uncertainty. When you calculate 100A, you are multiplying A by 100.
So the uncertainty for 100A will be 1% of 100, which is 1.
Therefore, the answer is c. 1%