ACSEE (Form 6) Measurement — practice questions

Explore 4 free Measurement questions in ACSEE (Form 6) Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Measurement questions and exercises with answers

Showing questions 1–4 of 4.

For $P=\dfrac{F}{\pi R^2}$ with percentage errors of $\pm2$ in $F$ and $\pm1$ in $R$, the percentage error in $P$ is:Read the answer and worked solution →The correct way to write the dimensions of area is:Read the answer and worked solution →Fix the error formulaRead the answer and worked solution →Dimension or dimensional formula?Read the answer and worked solution →

Worked practice questions

For $P=\dfrac{F}{\pi R^2}$ with percentage errors of $\pm2$ in $F$ and $\pm1$ in $R$, the percentage error in $P$ is:

$\pm1\%$
$\pm4\%$
$\pm3\%$
$\pm5\%$

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Correct answer: B. $\pm4\%$

1. Take logarithms: $\ln P=\ln F-\ln\pi-2\ln R$. 2. Differentiating gives $\dfrac{\Delta P}{P}=\dfrac{\Delta F}{F}+2\dfrac{\Delta R}{R}$ — the terms ADD when errors are maximised. 3. Multiply through by 100%: $\pm(2\%+2\times1\%)$. 4. That gives $\pm4\%$. 5. Subtracting instead of adding gives $-1\%$, which was the recorded error and shows a misunderstanding of maximising errors. _Source: NECTA ACSEE 2023 Physics 131/1, Question 1: Measurement_

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The correct way to write the dimensions of area is:

$\text{Area}=[L]^2$
$[\text{Area}]=L^2$
$[\text{Area}]=L^2[\;]$
$[\text{Area}]=[L][L][\;]$

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Correct answer: B. $[\text{Area}]=L^2$

1. Square brackets denote 'the dimensions of' the quantity inside them. 2. So the bracket belongs around the quantity, on the left of the equation. 3. Area is a length multiplied by a length, giving $L^2$ on the right. 4. The correct notation is therefore $[\text{Area}]=L^2$. 5. Writing $\text{Area}=[L]^2$ or trailing an empty bracket misplaces the notation, both of which were recorded errors. _Source: NECTA ACSEE 2023 Physics 131/1, Question 1: Measurement_

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Fix the error formula

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Questions

Statement parts
1. dP/P
2. =
3. dF/F
4. -
5. 2
6. dR/R
Correction
plus — errors add when you maximise them, never subtract
Incorrect part
-
Statement parts
1. dP/P
2. =
3. dF/F
4. +
5. 1
6. dR/R
Correction
2 — R is squared, so its error counts twice
Incorrect part
1

Instructions

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