EXAMCOPY Algebra, STD2 A2 2009 HSC 24d
A factory makes boots and sandals. In any week
• the total number of pairs of boots and sandals that are made is 200
• the maximum number of pairs of boots made is 120
• the maximum number of pairs of sandals made is 150.
The factory manager has drawn a graph to show the numbers of pairs of boots (`x`) and sandals (`y`) that can be made.
- Find the equation of the line `AD`. (1 mark)
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- Explain why this line is only relevant between `B` and `C` for this factory. (1 mark)
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- The profit per week, `$P`, can be found by using the equation `P = 24x + 15y`.
Compare the profits at `B` and `C`. (2 marks)
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EXAMCOPY Algebra, STD2 A2 2010 HSC 27c
The graph shows tax payable against taxable income, in thousands of dollars.
- Use the graph to find the tax payable on a taxable income of $21 000. (1 mark)
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- Use suitable points from the graph to show that the gradient of the section of the graph marked `A` is `1/3`. (1 mark)
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- How much of each dollar earned between $21 000 and $39 000 is payable in tax? (1 mark)
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- Write an equation that could be used to calculate the tax payable, `T`, in terms of the taxable income, `I`, for taxable incomes between $21 000 and $39 000. (2 marks)
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EXAMCOPY Algebra, STD2 A2 2007 HSC 27b
A clubhouse uses four long-life light globes for five hours every night of the year. The purchase price of each light globe is $6.00 and they each cost `$d` per hour to run.
- Write an equation for the total cost (`$c`) of purchasing and running these four light globes for one year in terms of `d`. (2 marks)
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- Find the value of `d` (correct to three decimal places) if the total cost of running these four light globes for one year is $250. (1 mark)
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- If the use of the light globes increases to ten hours per night every night of the year, does the total cost double? Justify your answer with appropriate calculations. (1 mark)
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- The manufacturer’s specifications state that the expected life of the light globes is normally distributed with a standard deviation of 170 hours.
What is the mean life, in hours, of these light globes if 97.5% will last up to 5000 hours? (1 mark)
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v1 Algebra, STD2 A2 2004 HSC 22 MC
Mary-Anne knows that
• one Australian dollar (AUD) is worth 0.64 euros, and
• one Canadian dollar (CAD) is worth 0.97 euros.
Mary-Anne changes 75 AUD to Canadian dollars.
How many Canadian dollars will she get?
- 46.56 CAD
- 49.48 CAD
- 113.67 CAD
- 120.75 CAD
EXAMCOPY Algebra, STD2 A2 2016 HSC 29e
The graph shows the life expectancy of people born between 1900 and 2000.
- According to the graph, what is the life expectancy of a person born in 1932? (1 mark)
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- With reference to the value of the gradient, explain the meaning of the gradient in this context. (2 marks)
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EXAMCOPY Algebra, STD2 A2 SM-Bank 2
The weight of a steel beam, `w`, varies directly with its length, `ℓ`.
A 1200 mm steel beam weighs 144 kg.
Calculate the weight of a 750 mm steel beam. (2 marks)
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EXAMCOPY Algebra, STD2 A2 SM-Bank 3
The average height, `C`, in centimetres, of a girl between the ages of 6 years and 11 years can be represented by a line with equation
`C = 6A + 79`
where `A` is the age in years. For this line, the gradient is 6.
- What does this indicate about the heights of girls aged 6 to 11? (1 mark)
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- Give ONE reason why this equation is not suitable for predicting heights of girls older than 12. (1 mark)
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EXAMCOPY Algebra, STD2 A2 2019 HSC 34
The relationship between British pounds `(p)` and Australian dollars `(d)` on a particular day is shown in the graph.
- Write the direct variation equation relating British pounds to Australian dollars in the form `p = md`. Leave `m` as a fraction. (1 mark)
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- The relationship between Japanese yen `(y)` and Australian dollars `(d)` on the same day is given by the equation `y = 76d`.
Convert 93 100 Japanese yen to British pounds. (2 marks)
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EXAMCOPY Algebra, STD1 A3 2021 HSC 25
The diagram shows a container which consists of a small cylinder on top of a larger
cylinder.
The container is filled with water at a constant rate to the top of the smaller cylinder. It takes 5 minutes to fill the larger cylinder.
Draw a possible graph of the water level in the container against time. (2 marks)
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v1 Algebra, STD2 A2 2020 HSC 10 MC
An electrician charges a call-out fee of $75 as well as $1.50 per minute while working.
Suppose the electrician works for \(t\) hours.
Which equation expresses the amount the plumber charges ($\(C\)) as a function of time (\(t\) hours)?
- \(C=75+1.50t\)
- \(C=150+75t\)
- \(C=75+90t\)
- \(C=90+75t\)
EXAMCOPY Algebra, STD1 A2 2020 HSC 20
The weight of a bundle of A4 paper (`W` kg) varies directly with the number of sheets (`N`) of A4 paper that the bundle contains.
This relationship is modelled by the formula `W = kN`, where `k` is a constant.
The weight of a bundle containing 500 sheets of A4 paper is 2.5 kilograms.
- Show that the value of `k` is 0.005. (1 mark)
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- A bundle of A4 paper has a weight of 1.2 kilograms. Calculate the number of sheets of A4 paper in the bundle. (2 marks)
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v1 Algebra, STD2 A2 2012 HSC 5 MC
v1 Algebra, STD2 A2 2009 HSC 14 MC
If \(C=5x+4\), and \(x\) is increased by 3, what will be the corresponding increase in \(C\) ?
- \(3\)
- \(15\)
- \(3x\)
- \(5x\)
v1 Algebra, STD2 A2 2014 HSC 7 MC
Which of the following is the graph of \(y=-3x-3\)?
A. | B. | ||
C. | D. |
EXAMCOPY Algebra, STD2 A1 2009 HSC 16 MC
v1 Algebra, STD2 A2 2011 HSC 23b
Sticks were used to create the following pattern.
The number of sticks used is recorded in the table.
\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \text{Shape $(S)$} \rule[-1ex]{0pt}{0pt} & \;\;\; 1 \;\;\; & \;\;\; 2 \;\;\; & \;\;\; 3 \;\;\; \\
\hline
\rule{0pt}{2.5ex} \text{Number of sticks $(N)$}\; \rule[-1ex]{0pt}{0pt} & \;\;\; 6 \;\;\; & \;\;\; 10 \;\;\; & \;\;\; 14 \;\;\; \\
\hline
\end{array}
- Draw Shape 4 of this pattern. (1 mark)
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- How many sticks would be required for Shape 128? (1 mark)
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- Is it possible to create a shape in this pattern using exactly 609 sticks?
Show suitable calculations to support your answer. (2 marks)
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v1 Algebra, STD2 A2 2005 HSC 17 MC
The total cost, \($C\), of a school excursion is given by \(C=4n+9\), where \(n\) is the number of students.
If five extra students go on the excursion, by how much does the total cost increase?
- $4
- $20
- $18
- $29
v1 Algebra, STD2 A2 2015 HSC 13 MC
v1 Algebra, STD2 A2 2017 HSC 20 MC
A pentagon is created using matches.
By adding more matches, a row of two pentagons is formed.
Continuing to add matches, a row of three pentagons can be formed.
Continuing this pattern, what is the maximum number of complete pentagons that can be formed if 230 matches in total are available?
- 55
- 56
- 57
- 58
v1 Algebra, STD2 A2 2022 HSC 2 MC
Which of the following could be the graph of \(y=-2-2x\)?
v1 Algebra, STD2 A1 2011 HSC 21 MC
A train departs from Town A at 4.00 pm to travel to Town B. Its average speed for the journey is 80 km/h, and it arrives at 6.00 pm. A second train departs from Town A at 4.30 pm and arrives at Town B at 6.10 pm.
What is the average speed of the second train?
- 96 km/h
- 114 km/h
- 224 km/h
- 280 km/h
v1 Algebra, STD2 A1 2009 HSC 16 MC
v1 Algebra, STD2 A1 2014 HSC 4 MC
Young’s formula below is used to calculate the required dosages of medicine for children aged 1–12 years.
\(\text{Dosage}=\dfrac{\text{age of child (in years)}\ \times\ \text{adult dosage}}{\text{age of child (in years)}\ +\ 12}\)
How much of the medicine should be given to an 18-month-old child in a 24-hour period if each adult dosage is 27 mL? The medicine is to be taken every 8 hours by both adults and children.
- 3 mL
- 6 mL
- 9 mL
- 12 mL
v1 Algebra, STD2 A1 2015 HSC 30d
Monica is driving on a motorway at a speed of 105 kilometres per hour and has to brake suddenly. She has a reaction time of 1.3 seconds and a braking distance of 54.3 metres.
Stopping distance can be calculated using the following formula
\(\text{stopping distance = {reaction time distance} + {braking distance}}\)
What is Monica's stopping distance? Give your answer to 1 decimal place. (2 marks)
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v1 Algebra, STD2 A1 SM-Bank 4
Yuan is driving in a school zone at a speed of 30 kilometres per hour and needs to stop immediately to avoid an accident.
It takes him 1.4 seconds to react and his breaking distance is 6.2 metres.
Stopping distance can be calculated using the following formula
\(\text{stopping distance = {reaction time distance} + {braking distance}}\)
What is Yuan's total stopping distance? Give your answer to 1 decimal place. (2 marks)
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v1 Algebra, STD2 A1 2018 HSC 28e
Drake is driving at 80 km/h. He notices a branch on the road ahead and decides to apply the brakes. His reaction time is 1.2 seconds. His braking distance (\(D\) metres) is given by \(D=0.01v^2\), where \(v\) is speed in km/h.
Stopping distance can be calculated using the following formula
\(\text{stopping distance = {reaction time distance} + {braking distance}}\)
What is Drake’s stopping distance, to the nearest metre? (3 marks)
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v1 Algebra, STD2 A1 2013 HSC 29a
Jeremy tried to solve this equation and made a mistake in Line 2.
\(\dfrac{M+3}{2}-\dfrac{2M-1}{5}\) | \(=1\) | \(\text{... Line 1}\) |
\(5M+15-4M-2\) | \(=10\) | \(\text{... Line 2}\) |
\(M+13\) | \(=10\) | \(\text{... Line 3}\) |
\(M\) | \(=-3\) | \(\text{... Line 4}\) |
Copy the equation in Line 1 and continue your solution to solve this equation for \(M\).
Show all lines of working. (2 marks)
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v1 Algebra, STD2 A1 2010 HSC 7 MC
If \(M=-8\), what is the value of \(\dfrac{4M^2+3M}{8}\)
- \(-1027\)
- \(-35\)
- \(29\)
- \(125\)
v1 Algebra, STD2 A1 2018 HSC 28b
Solve the equation \(\dfrac{3x}{4}+1=\dfrac{5x+1}{3}\), leaving your answer as a fraction. (3 marks)
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v1 Algebra, STD2 A1 2021 HSC 29
Solve \(x+\dfrac{x-3}{4}=5\), leaving your answer as a fraction. (2 marks)
v1 Algebra, STD2 A1 2013 HSC 21 MC
Which equation correctly shows \(n\) as the subject of \(V=600(1-n)\)?
- \(n=\dfrac{V-600}{600}\)
- \(n=\dfrac{600-V}{600}\)
- \(n=V-600\)
- \(n=600-V\)
v1 Algebra, STD2 A1 2011 HSC 18 MC
Which of the following correctly expresses \(b\) as the subject of \(y= ax+\dfrac{1}{4}bx^2\)?
- \(b=\dfrac{4y-ax}{x^2}\)
- \(b=\dfrac{4(y-ax)}{x^2}\)
- \(b=\dfrac{\dfrac{1}{4}y-ax}{x^2}\)
- \(b=\dfrac{\dfrac{1}{4}(y-ax)}{x^2}\)
v1 Algebra, STD2 A1 2006 HSC 18 MC
What is the formula for \(g\) as the subject of \(7d=8e+5g^2\)?
- \(g =\pm\sqrt{\dfrac{8e-7d}{5}}\)
- \(g =\pm\sqrt{\dfrac{7d-8e}{5}}\)
- \(g =\pm\dfrac{\sqrt{7d+8e}}{5}\)
- \(g =\pm\dfrac{\sqrt{8e-7d}}{5}\)
v1 Algebra, STD2 A1 2007 HSC 19 MC
Which of the following correctly expresses \(X\) as the subject of \(Y=4\pi\Bigg(\dfrac{X}{4}+L\Bigg)\)?
- \(X=\dfrac{Y}{\pi}-L\)
- \(X=\dfrac{Y}{\pi}-4L\)
- \(X=4L-\dfrac{Y}{2\pi}\)
- \(X=\dfrac{Y}{8\pi}-\dfrac{L}{4}\)
v1 Algebra, STD2 A1 2005 HSC 24c
Make \(r\) the subject of the equation \(V=4\pi r^2\). (2 marks)
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v1 Algebra, STD2 A1 2017 HSC 28d
Make \(b\) the subject of the equation \(a=\sqrt{bc-4}\). (2 marks)
v1 Algebra, STD2 A1 2019 HSC 11 MC
Which of the following correctly expresses \(y\) as the subject of the formula \(5x-2y-9=0\)?
- \(y=\dfrac{5}{2}x-9\)
- \(y=\dfrac{5}{2}x+9\)
- \(y=\dfrac{5x+9}{2}\)
- \(y=\dfrac{5x-9}{2}\)
CHEMISTRY, M8 2022 VCE 5*
A chemist uses spectroscopy to identify an unknown organic molecule, Molecule \(\text{J}\), that contains chlorine. The \({}^{13}\text{C NMR}\) spectrum of Molecule \(\text{J}\) is shown below. The infra-red (IR) spectrum of Molecule \(\text{J}\) is shown below. --- 2 WORK AREA LINES (style=lined) --- The mass spectrum of Molecule \(\text{J}\) is shown below --- 2 WORK AREA LINES (style=lined) --- The \({ }^1 \text{H NMR}\) spectrum of Molecule \(\text{J}\) is shown below. --- 3 WORK AREA LINES (style=lined) --- --- 5 WORK AREA LINES (style=blank) ---
CHEMISTRY, M8 2021 VCE 7*
Two students are given a homework assignment that involves analysing a set of spectra and identifying an unknown compound. The unknown compound is one of the molecules shown below. The \(^{13}\text{C NMR}\) spectrum of the unknown compound is shown below. --- 1 WORK AREA LINES (style=lined) --- --- 6 WORK AREA LINES (style=lined) --- --- 1 WORK AREA LINES (style=lined) --- --- 4 WORK AREA LINES (style=lined) ---
CHEMISTRY, M8 2023 VCE 7-1*
Molecule \(\text{V}\) contains only carbon atoms, hydrogen atoms and one oxygen atom. The mass spectrum of molecule \(\text{V}\) is shown below. --- 4 WORK AREA LINES (style=lined) --- --- 1 WORK AREA LINES (style=lined) --- The \({ }^1 \text{H NMR}\) spectrum of molecule \(\text{V}\) is shown below. --- 2 WORK AREA LINES (style=lined) --- The \({ }^{13} \text{C NMR}\) spectrum of molecule \(\text{V}\) is shown below. --- 8 WORK AREA LINES (style=blank) ---
CHEMISTRY, M8 2022 VCE 28 MC
CHEMISTRY, M8 2023 VCE 29 MC
Which one of the following statements about mass spectrometry is always correct?
- The relative molecular mass of a molecule is determined from the base peak.
- The peaks in a mass spectrum are caused by the presence of different isotopes.
- The base peak is formed when an uncharged species is removed from the molecule.
- The height of each peak in the mass spectrum is measured relative to the height of the base peak.
CHEMISTRY, M8 2023 VCE 16 MC
Consider the following molecule.
How many peaks will be observed in a \({ }^{13} \text{C NMR}\) spectrum of this molecule
- 5
- 6
- 7
- 8
CHEMISTRY, M8 2014 VCE 16-17 MC
An atomic absorption spectrometer can be used to determine the level of copper in soils. The calibration curve below plots the absorbance of four standard copper solutions against the concentration of copper ions in ppm.
The concentrations of copper ions in the standard solutions were 1.0, 2.0, 3.0 and 4.0 mg L\(^{-1}\). (1 mg L\(^{-1}\) = 1 ppm)
Question 16
The concentration of copper in a test solution can be determined most accurately from the calibration curve if it is between
- 0.0 ppm and 5.0 ppm.
- 0.0 ppm and 4.0 ppm.
- 1.0 ppm and 4.0 ppm.
- 1.0 ppm and 5.0 ppm.
Question 17
If the test solution gave an absorbance reading of 0.40, what would be the concentration of copper ions in the solution in mol L\(^{-1}\)?
- 2.5
- 3.9 × 10\(^{-2}\)
- 3.9 × 10\(^{-5}\)
- 2.5 × 10\(^{-6}\)
CHEMISTRY, M8 2015 VCE 4
UV-visible spectroscopy was used to measure the spectra of two solutions, \(\text{A}\) and \(\text{B}\). Solution \(\text{A}\) was a pink colour, while Solution \(\text{B}\) was a green colour. The analyst recorded the absorbance of each solution over a range of wavelengths on the same axes. The resultant absorbance spectrum is shown below. --- 3 WORK AREA LINES (style=lined) --- The analyst used two sets of standard solutions and blanks to determine the calibration curves for the two solutions. The absorbances were plotted on the same axes. The graph is shown below. --- 6 WORK AREA LINES (style=lined) --- --- 4 WORK AREA LINES (style=lined) ---
CHEMISTRY, M8 2016 VCE 2*
A common iron ore, fool’s gold, contains the mineral iron pyrite, \(\ce{FeS2}\).
Typically, the percentage by mass of \(\ce{FeS2}\) in a sample of fool’s gold is between 90% and 95%. The actual percentage in a sample can be determined by gravimetric analysis.
The sulfur in \(\ce{FeS2}\) is converted to sulfate ions, \(\ce{SO4^2–}\) as seen below:
\(\ce{4FeS2 + 11O2 \rightarrow 2Fe2O3 + 8SO4^2-}\)
This is then mixed with an excess of barium chloride, \(\ce{BaCl2}\), to form barium sulfate, \(\ce{BaSO4}\), according to the equation
\(\ce{Ba^2+(aq) + SO4^2–(aq)\rightarrow BaSO4(s)}\)
When the reaction has gone to completion, the \(\ce{BaSO4}\) precipitate is collected in a filter paper and carefully washed. The filter paper and its contents are then transferred to a crucible. The crucible and its contents are heated until constant mass is achieved.
The data for an analysis of a mineral sample is as follows.
\(\text{initial mass of mineral sample}\) | \(\text{14.3 g}\) |
\(\text{mass of crucible and filter paper}\) | \(\text{123.40 g}\) |
\(\text{mass of crucible, filter paper and dry}\ \ce{BaSO4}\) | \(\text{174.99 g}\) |
\(\ce{M(FeS2)}\) | \(\text{120.0 g mol}^{-1}\) |
\(\ce{M(BaCl2)}\) | \(\text{208.3 g mol}^{-1}\) |
\(\ce{M(BaSO4)}\) | \(\text{233.4 g mol}^{-1}\) |
- Calculate the percentage by mass of \(\ce{FeS2}\) in this mineral sample. (4 marks)
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- State one assumption that was made in completing the calculations for this analysis. (1 mark)
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CHEMISTRY, M3 2013 VCE 11*
The following is a student’s summary of catalysts. It contains some correct and incorrect statements.
-
- A catalyst increases the rate of a reaction.
- All catalysts are solids.
- The mass of a catalyst is the same before and after the reaction.
- All catalysts align the reactant particles in an orientation that is favourable for a reaction to occur.
- A catalyst lowers the enthalpy change of a reaction, enabling more particles to have sufficient energy to successfully react.
- Identify two correct statements. (1 mark)
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- Evaluate the student’s summary by identifying two incorrect statements. In each case, explain why it is incorrect. (4 marks)
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CHEMISTRY, M4 2016 VCE 10a*
A senior Chemistry student created an experiment to calculate the molar heat of combustion of butane.
The experimental steps are as follows:
-
- Measure the initial mass of a butane canister
- Measure the mass of a metal can, add 250 mL of water and re-weigh.
- Set up the apparatus as in the diagram and measure the initial temperature of the water.
- Burn the butane gas for five minutes.
- Immediately measure the final temperature of the water.
- Measure the final mass of the butane canister when cool.
Results
Quantity | Measurement |
mass of empty can | 52.14 g |
mass of can + water before combustion | 303.37 g |
mass of butane canister before heating | 260.15 g |
mass of butane canister after heating | 259.79 g |
initial temperature of water | 22.1 °C |
final temperature of water | 32.7 °C |
The balanced thermochemical equation for the complete combustion of butane is
\(\ce{2C4H10(g) + 13O2(g) \rightarrow 8CO2(g) + 10H2O(l)},\ \ \Delta H=-5748\ \text{kJ mol}^{-1}\)
- Calculate the amount of heat energy absorbed by the water when it was heated by burning the butane. Give your answer in kilojoules. (2 marks)
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- Calculate the experimental value of the molar heat of combustion of butane. Give your answer in kJ mol\(^{–1}\). (2 marks)
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- Use the known enthalpy change for butane to calculate the percentage energy loss to the environment. (2 marks)
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CHEMISTRY, M4 2014 VCE 3a*
The combustion of ethanol is represented by the following equation.
\(\ce{C2H5OH(l) + 3O2(g)\rightarrow 2CO2(g) + 3H2O(l)}\ \ \ \ \ \ \Delta H=-1364\ \text{kJ mol}^{-1}\)
A spirit burner used 1.80 g of ethanol to raise the temperature of 100.0 g of water in a metal can from 25.0 °C to 40.0 °C.
Calculate the percentage of heat lost to the environment and to the apparatus. (5 marks)
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PHYSICS, M8 2019 VCE 17
Students are comparing the diffraction patterns produced by electrons and X-rays, in which the same spacing of bands is observed in the patterns, as shown schematically in Figure 18. Note that both patterns shown are to the same scale.
The electron diffraction pattern is produced by 3.0 × 10\(^3\) eV electrons.
- Explain why electrons can produce the same spacing of bands in a diffraction pattern as X-rays. (3 marks)
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- Calculate the frequency of X-rays that would produce the same spacing of bands in a diffraction pattern as for the electrons. Show your working. (4 marks)
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PHYSICS, M7 2019 VCE 16
Students are studying the photoelectric effect using the apparatus shown in Figure 15. Figure 16 shows the results the students obtained for the maximum kinetic energy \((E_{\text{k max }})\) of the emitted photoelectrons versus the frequency of the incoming light. --- 2 WORK AREA LINES (style=lined) --- --- 2 WORK AREA LINES (style=lined) --- --- 2 WORK AREA LINES (style=lined) --- --- 0 WORK AREA LINES (style=blank) ---
On Figure 17, draw the line that would be obtained if a different metal, with a work function of \(\dfrac{1}{2} \phi\), were used in the photocell. The original graph is shown as a dashed line. (2 marks)
PHYSICS, M7 2019 VCE 14*
Students have set up a double-slit experiment using microwaves. The beam of microwaves passes through a metal barrier with two slits, shown as \(\text{S}_1\) and \(\text{S}_2\) in Figure 13. The students measure the intensity of the resulting beam at points along the line shown. They determine the positions of maximum intensity to be at the points labelled \(\text{P}_0,\) \(\text{P}_1\), \(\text{P}_2\) and \(\text{P}_3\).
The distance from \(\text{S}_1\) to \(\text{P}_3\) is 72.3 cm and the distance from \(\text{S}_2\) to \(\text{P}_3\) is 80.6 cm.
- What is the frequency of the microwaves transmitted through the slits? Show your working. (2 marks)
- The signal strength is at a minimum approximately midway between points \(\text{P}_0\) and \(\text{P}_1\).
- Explain the reason why the signal strength would be a minimum at this location. (2 marks)
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- The microwaves from the source are polarised.
- Explain what is meant by the term 'polarised'. You may use a diagram in your answer. (2 marks)
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PHYSICS, M7 2019 VCE 11
What is the second postulate of Einstein's theory of special relativity regarding the speed of light? Explain how the second postulate differs from the concept of the speed of light in classical physics. (3 marks)
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PHYSICS, M5 2019 VCE 8
A 250 g toy car performs a loop in the apparatus shown in Figure 8. The car starts from rest at point \(\text{A}\) and travels along the track without any air resistance or retarding frictional forces. The radius of the car's path in the loop is 0.20 m. When the car reaches point \(\text{B}\) it is travelling at a speed of 3.0 m s\(^{-1}\). --- 6 WORK AREA LINES (style=lined) --- --- 6 WORK AREA LINES (style=lined) --- --- 4 WORK AREA LINES (style=lined) ---
PHYSICS, M6 2019 VCE 7*
Students in a Physics practical class investigate the piece of electrical equipment shown in Figure 5. It consists of a single rectangular loop of wire that can be rotated within a uniform magnetic field. The loop has dimensions 0.50 m × 0.25 m and is connected to the output terminals with slip rings. The loop is in a uniform magnetic field of strength 0.40 T. --- 1 WORK AREA LINES (style=lined) --- --- 3 WORK AREA LINES (style=lined) --- The students connect the output terminals of the piece of electrical equipment to an oscilloscope. One student rotates the loop at a constant rate of 20 revolutions per second. --- 3 WORK AREA LINES (style=lined) --- --- 4 WORK AREA LINES (style=lined) --- --- 3 WORK AREA LINES (style=lined) ---
PHYSICS, M5 2019 VCE 5*
Navigation in vehicles or on mobile phones uses a network of global positioning system (GPS) satellites. The GPS consists of 31 satellites that orbit Earth.
In December 2018, one satellite of mass 2270 kg, from the GPS Block \(\text{IIIA}\) series, was launched into a circular orbit at an altitude of \(20\ 000\) km above Earth's surface.
- Identify the type(s) of force(s) acting on the satellite and the direction(s) in which the force(s) must act to keep the satellite orbiting Earth. (2 marks)
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- Calculate the period of the satellite to three significant figures. You may use data from the table below in your calculations. Show your working. (3 marks)
mass of satellite | 2.27 × 10\(^3\) kg |
altitude of satellite above Earth's surface | 2.00 × 10\(^7\) m |
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PHYSICS, M6 2019 VCE 1
A particle of mass \(m\) and charge \(q\) travelling at velocity \(v\) enters a uniform magnetic field \(\text{B}\), as shown in Figure 1. --- 1 WORK AREA LINES (style=lined) --- --- 3 WORK AREA LINES (style=lined) ---
PHYSICS, M8 2019 VCE 15 MC
Electrons pass through a fine metal grid, forming a diffraction pattern.
If the speed of the electrons was doubled using the same metal grid, what would be the effect on the fringe spacing?
- The fringe spacing would increase.
- The fringe spacing would decrease.
- The fringe spacing would not change.
- The fringe spacing cannot be determined from the information given.
PHYSICS, M8 2023 HSC 27b
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