Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-9702-PL2-0021 markL1 FoundationCalculatorGradient uncertainty

A best-fit line has gradient

4.03

and the worst acceptable line has gradient

4.21

. Calculate the absolute uncertainty in the gradient.

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SA-9702-PL2-0041 markL1 FoundationCalculatorError bars

A worst acceptable line must

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SA-9702-PL2-0071 markL1 FoundationCalculatorGradient uncertainty

An experiment gives

g=9.6\pm0.5

m s⁻². Compared with the accepted

9.81

m s⁻², the result

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SA-9702-PL2-0081 markL1 FoundationCalculatorError bars

For data quoted to

3

significant figures,

\lg

values should be given to

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SA-9702-PL2-0121 markL1 FoundationCalculatorError bars

An error bar on a plotted point shows

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SA-9702-PL2-0011 markL2 StandardCalculatorError bars

d=2.0\pm0.1

mm. Calculate the absolute uncertainty in

\lg(d/\text{mm})

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SA-9702-PL2-0032 marksL2 StandardCalculatorGradient uncertainty

Using gradient

m=4.03\pm0.18

s² m⁻¹ and

g=\dfrac{4\pi^2}m

, calculate the absolute uncertainty in

g

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SA-9702-PL2-0051 markL2 StandardCalculatorError bars

x=4.0\pm0.2

. Calculate the absolute uncertainty in

\ln x

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SA-9702-PL2-0061 markL2 StandardCalculatorError bars

T=1.50\pm0.02

s. Calculate the absolute uncertainty in

T^2

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SA-9702-PL2-0091 markL2 StandardCalculatorGradient uncertainty

The worst acceptable line has gradient

2.20

and passes through

(4.0, 10.6)

. Calculate its

y

-intercept.

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SA-9702-PL2-0101 markL2 StandardCalculatorGradient uncertainty

\lg y

against

\lg x

graph gives

n=1.92\pm0.10

. The hypothesis is

y\propto x^2

. The data

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SA-9702-PL2-0113 marksL3 ExamCalculatorGradient uncertainty

For

R=\dfrac{\rho L}A

, the best-fit gradient of

R

against

L

12.0

Ω m⁻¹ and the worst acceptable gradient is

12.8

Ω m⁻¹.

A=(9.0\pm0.4)\times10^{-8}

m². Calculate the percentage uncertainty in

\rho

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