Physics 9702/23 — October/November 2022

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

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Topics Physical Quantities and Units · Kinematics · Dynamics · Forces, Density and Pressure · Deformation of Solids · Work, Energy and Power · +5 more

Q1Physical Quantities and UnitsFree sample

The rate of flow $Q$ of a liquid along a narrow pipe of length $L$ and radius $r$ is given by

Q = \frac{\alpha r^4}{L}

where $\alpha$ is a constant.

An experiment is carried out to determine the value of $\alpha$ . The data from the experiment are shown in Table 1.1.

Table 1.1

quantity	value	percentage uncertainty
$Q$	$2.72 \times 10^{-8}\ \text{m}^3\ \text{s}^{-1}$	$\pm 3\%$
$r$	$7.1 \times 10^{-5}\ \text{m}$	$\pm 2\%$
$L$	$2.5 \times 10^{-2}\ \text{m}$	$\pm 4\%$

(a)

Use information in Table 1.1 to show that the SI base unit of $\alpha$ is $\text{s}^{-1}$ .

(b)

Show that the percentage uncertainty in $\alpha$ is $15\%$ .

(c)

Calculate $\alpha$ with its absolute uncertainty. Give your answer to an appropriate number of significant figures.

$\alpha$ = ( ______ $\pm$ ______ ) $\times 10^7\ \text{s}^{-1}$

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5 more questions

Q2Kinematics · Dynamics9M
Q3Forces, Density and Pressure · Deformation of Solids · Work, Energy and Power13M
Q4Waves · Superposition13M
Q5D.C. Circuits · Electricity14M
Q6Particle Physics6M

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