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
4.1
(173 Votes)
Kai
Master ยท Tutor for 5 years
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.