Question

Calculate the maximum absolute uncertainty for R if:R = B - AA = 32 +/- 2 seconds B = 11 +/- 3 seconds

Answer 1

R=B-A

Given,

$A=32\pm2\text{ seconds}$$B=11\pm3\text{ seconds}$$\Delta R=\Delta B+\Delta A$

the uncertainty in A is

$\Delta A=\pm2$

The uncertainty in B is,

$\Delta B=\pm3$

The uncertainty in R is,

$\begin{gathered} \Delta R=\pm(2+3) \\ =\pm5 \end{gathered}$

Hence the uncertainty in R is

+-5.