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.