Physics 9702 · AS & A Level · Errors and uncertainties

Errors and uncertainties — practice question

The liquid volume $V$ that passes in time $t$ through a pipe of radius $r$ is described by $\frac{V}{t} = \frac{\pi P r^4}{8 C l}$, where $P$ is the pressure difference across the two ends of a pipe of length $l$, and $C$ is determined by the liquid’s frictional effects. An experiment is carried out in order to find $C$. The readings obtained are shown in Fig. 1.1.
(a)[2]

Calculate $C$.

(b)[3]

Calculate the uncertainty of $C$.

(c)[1]

State $C$ and its uncertainty to the correct number of significant figures.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $\frac{V}{t} = \frac{\pi P r^4}{8Cl}$ or an equivalent rearrangement

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