Question

~With the help of graduated cylinder made of ordinary glass, volume can be measured accurately at 10 oC. If it is used at 70 oC, what will be the percentage error in measurement? Coefficient linear expansion of glass = 9 * 10-6 oC-1 [Answer as given in the book = 0.162%]

Answer 1

$$\begin{gathered} Dearstudent \\ v=v_0(1+\gamma ∆T) \\ v=v_0(1+3\alpha ∆T) \\ v-v_0=v_{0}3\alpha ∆T \\ \frac{v-v_0}{v_0}=3\alpha ∆T \\ \frac{v-v_0}{v_0}=3\times 9\times {10}^{-6}\times 60 \\ \frac{v-v_0}{v_0}\times 100=\%errorinthemeasurement(\sin cewearemeasuringvolume)=3\times 9\times {10}^{-6}\times 60\times 100=0.162\% \\ symbolshavetheirusualmeanings \\ Regards \end{gathered}$$