Question
Consider: a=3.2pm 0.5 b=1.5pm 0.1 c=0.07pm 0.06 What is the uncertainty in a-(b)/(2)+11c
Solution
4.1
(270 Votes)
Nora
Veteran ยท Tutor for 10 years
Answer
### 1.21
Explanation
## Step 1: Calculate the partial uncertainties### The uncertainty in a quantity obtained by multiplication or division is the sum of the fractional uncertainties of the quantities involved. The uncertainty in a sum or difference is the sum of the absolute uncertainties. The uncertainty in
is
. The uncertainty in
is
.## Step 2: Calculate the total uncertainty### The total uncertainty is the sum of the individual uncertainties:
.