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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

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

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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: .