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Consider: A=3.2pm 0.5 B=1.5pm 0.1 C=6.07pm 0.09 What Is the Uncertainty in A+(c)/(b) 7

Question

Consider: a=3.2pm 0.5 b=1.5pm 0.1 c=6.07pm 0.09 What is the uncertainty in a+(c)/(b) 7

Solution

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Answer

Here's how to calculate the uncertainty in :1. **Calculate the value of the expression:** 2. **Calculate the fractional uncertainty of :** Fractional uncertainty in *c* = Fractional uncertainty in *b* = Fractional uncertainty in = Fractional uncertainty in *c* + Fractional uncertainty in *b* = 3. **Calculate the absolute uncertainty of :** Absolute uncertainty in = Fractional uncertainty in * Value of = 4. **Calculate the absolute uncertainty of :** Since *a* and are added, we add their absolute uncertainties: Absolute uncertainty in = Absolute uncertainty in *a* + Absolute uncertainty in = 5. **Final Result:** (We round the final value to one significant figure in the uncertainty and align the decimal place in the value accordingly.)Therefore, the uncertainty in is approximately 0.8.