Measurements made for a sample of metal wire are shown in Fig. 1.1. quantity measurement uncertainty --- --- --- length $1750\ \text{mm}$ $\pm 3\ \text{mm}$ diameter $0.38\ \text{mm}$ $\pm 0.01\ \text{mm}$ resistance $7.5\ \Omega$ $\pm 0.2\ \Omega$ (a) State the appropriate instruments used to make each of these measurements. (i) length (ii) diameter (iii) resistance (i) Show that the resistivity of the metal is calculated to be $4.86 \times 10^{-7}\ \Omega\ \text{m}$. (ii)…

Physics 9702/21 — May/June 2011

Cambridge AS Level · AS Level Structured Questions · worked solutions for every part, with the mark scheme

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Topics Electricity · Physical Quantities and Units · Dynamics · Forces, Density and Pressure · Measurement Techniques · Work, Energy and Power · +4 more

Q1Measurement TechniquesElectricityPhysical Quantities and UnitsFree sample

Measurements made for a sample of metal wire are shown in Fig. 1.1.

quantity	measurement	uncertainty
length	$1750\ \text{mm}$	$\pm 3\ \text{mm}$
diameter	$0.38\ \text{mm}$	$\pm 0.01\ \text{mm}$
resistance	$7.5\ \Omega$	$\pm 0.2\ \Omega$

Fig. 1.1

(a)

State the appropriate instruments used to make each of these measurements.

(i)

length

(ii)

diameter

(iii)

resistance

(b)

(i)

Show that the resistivity of the metal is calculated to be $4.86 \times 10^{-7}\ \Omega\ \text{m}$ .

(ii)

Calculate the uncertainty in the resistivity.

uncertainty = $\pm$ ______ $\Omega\ \text{m}$

(c)

Use the answers in (b) to express the resistivity with its uncertainty to the appropriate number of significant figures.

resistivity = ______ $\pm$ ______ $\Omega\ \text{m}$

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