Let
The line
Find the equation of the line
Aussie Maths & Science Teachers: Save your time with SmarterEd
Let
The line
Find the equation of the line
Consider the following equilibrium system.
The solution is orange.
Justify TWO ways to shift the equilibrium to the left to change the colour of the solution. (3 marks)
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Answers could include two of the following methods.
Add
→ This would increase the concentration of
→ According to Le Chatelier’s Principle, this would cause the equilibrium to shift left to counteract the change and decrease the concentration of
Decrease the concentration of
→ This would decrease the concentration of
→ According to Le Chatelier’s Principle, this would cause the equilibrium to shift left to counteract the change and increase the concentration of
Increase the temperature:
→ According to Le Chatelier’s Principle, this would cause the equilibrium to shift left towards the endothermic side to counteract the change and decrease the temperature.
Answers could include two of the following methods.
Add
→ This would increase the concentration of
→ According to Le Chatelier’s Principle, this would cause the equilibrium to shift left to counteract the change and decrease the concentration of
Decrease the concentration of
→ This would decrease the concentration of
→ According to Le Chatelier’s Principle, this would cause the equilibrium to shift left to counteract the change and increase the concentration of
Increase the temperature:
→ According to Le Chatelier’s Principle, this would cause the equilibrium to shift left towards the endothermic side to counteract the change and decrease the temperature.
Four organic liquids are used in an experiment. The four liquids are
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a. A safety concern is that the organic liquids are flammable.
To address this, keep substance away from open flames and keep away from ignition sources.
b. Flask 1: propanoic acid (carboxylic acids can’t be oxidised and are polar)
Flask 2: hex-1-ene (alkenes can be oxidised and are non-polar)
Flask 3: propan-1-ol (primary alcohols can be oxidised and are polar)
Flask 4: hexane (alkanes don’t react with acidified oxidants and are non-polar)
c. Hex-1-ene
→ Could be identified using the bromine water test.
→ The addition of brown bromine water to an alkene causes an addition reaction where the solution changes colours from brown to colourless.
Propanoic acid
→ Could be identified through a neutralisation reaction using
→ Effervescent reaction will result.
Propan-1-ol
→ Could be identified through an oxidation reaction using acidified dichromate.
→ The reaction would cause the solution to change from green to orange.
a. A safety concern is that the organic liquids are flammable.
To address this, keep substance away from open flames and keep away from ignition sources.
b. Flask 1: propanoic acid (carboxylic acids can’t be oxidised and are polar)
Flask 2: hex-1-ene (alkenes can be oxidised and are non-polar)
Flask 3: propan-1-ol (primary alcohols can be oxidised and are polar)
Flask 4: hexane (alkanes don’t react with acidified oxidants and are non-polar)
c. Hex-1-ene
→ Could be identified using the bromine water test.
→ The addition of brown bromine water to an alkene causes an addition reaction where the solution changes colours from brown to colourless.
Propanoic acid
→ Could be identified through a neutralisation reaction using
→ Effervescent reaction will result.
Propan-1-ol
→ Could be identified through an oxidation reaction using acidified dichromate.
→ The reaction would cause the solution to change from green to orange.
A triangle is formed in three-dimensional space with vertices
Find the size of
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Evaluate
Due to a reduction in air travel, an airline company has had to store some of its unused aircraft.
Explain why the desert is a suitable place to store the unused aircraft. (3 marks)
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→ Aircraft are susceptible to corrosion as they are constructed from aluminium. Specifically, crevice corrosion in the joints between the aluminium sheets.
→ While the aircraft are in storage they should be kept in a dry area to prevent any moisture from entering the crevices.
→ A desert provides this environment at a low cost.
Successful answers could also include:
→ Deserts also have fewer insects/wildlife which could nest in the aircraft.
→ The surface of the desert is also hard and dry so paving is not required.
→ Aircraft are susceptible to corrosion as they are constructed from aluminium. Specifically, crevice corrosion in the joints between the aluminium sheets.
→ While the aircraft are in storage they should be kept in a dry area to prevent any moisture from entering the crevices.
→ A desert provides this environment at a low cost.
Successful answers could also include:
→ Deserts also have fewer insects/wildlife which could nest in the aircraft.
→ The surface of the desert is also hard and dry so paving is not required.
The diagram illustrates a method of forming a thermosetting polymer.
Which method is illustrated?
What is the purpose of cloning in agriculture?
→ Cloning is often used in agricultural practises within both flora and fauna to preserve favourable market characteristics, such as muscle size in cows.
In maintaining homeostasis, which of the following is a behavioural adaptation?
Curling into a ball to keep warm is a behavioural response of an organism that helps it maintain body temperature.
Scientists conducted an experiment to investigate the effectiveness of treating water from storage dams with UV radiation.
The experiment was conducted more than three times. The results are shown in the table.
What conclusion may be drawn from the data obtained?
→ As the UV dose increased, the number of bacteria decreased.
A laser emits light of wavelength 550 nm.
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a.
b. | ||
a. | ||
b. | ||
→ The work function of the metal sample is
→ Since the incident photon energy of
A rocket is launched vertically from a planet of mass
Show that the magnitude of the change in kinetic energy from point 1 to point 2 is
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Determine the mass
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a.
This change has a magnitude of
b. Applying the law of conservation of energy:
→ The magnitude of kinetic energy lost is equal to the magnitude of potential energy gained by the rocket:
a.
This change has a magnitude of
b. Applying the law of conservation of energy:
→ The magnitude of kinetic energy lost is equal to the magnitude of potential energy gained by the rocket:
The radioactive decay curve for americium-242 is shown.
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a.
b.
a. The half life of Am-242 is 16 hours.
b. | |
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The positions of two stars,
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a. Surface Temperature: The surface temperature of
Luminosity: The luminosity of
b. →
→
a. Surface Temperature:
→ The surface temperature of
Luminosity:
→ The luminosity of
b. →
→
A patient visited an audiologist for a hearing test. The audiologist tested both ears at specific frequencies. The volumes at which each frequency could be heard are shown.
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a.
b. Right ear is within normal hearing range.
Left ear has a deficit and cannot hear at a normal level.
c. Effective technology: Bone Conduction Implants
Bone conduction implants would prove to be the most effective technology to restore hearing to this patient.
Bone conduction implants detect sound waves via a microphone, relaying them to a sound processor that converts the waves into vibrations which are then directly transferred to the cochlea. This process bypasses the ear blockage, therefore restoring hearing to the patient.
a.
b. → Right ear is within normal hearing range.
→ Left ear has a deficit and cannot hear at a normal level.
c. Effective technology: Bone Conduction Implants
→ Bone conduction implants would prove to be the most effective technology to restore hearing to this patient.
→ Bone conduction implants detect sound waves via a microphone, relaying them to a sound processor that converts the waves into vibrations which are then directly transferred to the cochlea.
→ This process bypasses the ear blockage, therefore restoring hearing to the patient.
Ovulation in women is associated with a rapid increase in luteinising hormone (LH). Test strips can be used to detect high levels of LH in urine. Once a test strip is used, a control line should appear and the presence of a test line indicates high levels of LH in urine. The image below represents four different results that were obtained.
Which of the results indicates a valid test which shows that ovulation is NOT occurring? Justify your answer. (3 marks)
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→ Test strips 3 and 4 do not contain a control line, therefore are invalid.
→ Test strip 2 contains a control line but no test line, indicating that there was no LH surge.
→ Therefore, test strip 2 indicates a valid negative result that shows ovulation is not occurring.
→ Test strips 3 and 4 do not contain a control line, therefore are invalid.
→ Test strip 2 contains a control line but no test line, indicating that there was no LH surge.
→ Therefore, test strip 2 indicates a valid negative result that shows ovulation is not occurring.
Which of the following is used to transmit data in a fibre optic cable?
The orbital velocity,
Which graph is consistent with this relationship?
Squaring both sides of the given equation gives:
→
→ A line of
The radiation emitted by a black body has a peak wavelength of
What is its temperature?
An object is launched with an initial velocity,
Which statement correctly compares components of
The vertical velocity of the projectile decreases under the influence of gravity. The horizontal velocity of the projectile remains constant.
A photon has an energy of
What is the frequency of this radiation?
Protons and neutrons are made up of quarks. The table shows the charges of these quarks.
What combination of quarks forms a neutron?
Baryons such as neutrons are always are made up of three quarks.
Neutrons are electrically neutral
→ comprised of one up quark and two down quarks.
A radioisotope emits radiation which is deflected by an electric field, as shown.
What type of radiation is this?
The radiation experiences a force of attraction towards the positive plate.
→ it must be negatively charged.
The absorption lines in a star's spectrum are shown.
What feature of the star is directly responsible for these absorption lines?
Elements and compounds in the stars’ atmosphere will absorb specific wavelengths of light which correspond to these absorption lines.
→ chemical composition is responsible.
An ideal transformer has 20 turns on the primary coil and an input voltage of 100 V.
How many turns are there on the secondary coil if the output voltage is 400 V ?
Outline ONE benefit and ONE limitation of the strategies used on each farm. (3 marks)
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a. Include two of the following labels:
b. Box 2: Bacteria grown in pure culture and identified.
Box 4: Healthy pig became ill with diarrhoea.
c. Benefits and Limitations of the strategies used on each farm.
→ The use of antibiotics on farm 1 has resulted in a rapid elimination of diarrhoea cases, however may induce antibiotic resistance in the
future, rendering the strategy less effective.
→ The removal of rats and mice from pig sheds to increase hygiene on farm 2 is slow to eliminate diarrhoea cases, however provides reassurance to prevent future outbreaks.
Other correct answers:
→ Proper hygiene practices can reduce incidence of other diseases, not just diarrhoea.
a. Include two of the following labels:
b. Box 2: Bacteria grown in pure culture and identified.
Box 4: Healthy pig became ill with diarrhoea.
c. Benefits and Limitations of the strategies used on each farm.
The use of antibiotics on farm 1 has resulted in a rapid elimination of diarrhoea cases, however may induce antibiotic resistance in the
future, rendering the strategy less effective.
The removal of rats and mice from pig sheds to increase hygiene on farm 2 is slow to eliminate diarrhoea cases, however provides reassurance to prevent future outbreaks.
Other correct answers:
In a room with temperature 12°C, coffee is poured into a cup. The temperature of the coffee when it is poured into the cup is 92°C, and it is far too hot to drink.
The temperature,
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i.
ii.
A sports association manages 13 junior teams. It decides to check the age of all players. Any team that has more than 3 players above the age limit will be penalised.
A total of 41 players are found to be above the age limit.
Will any team be penalised? Justify your answer. (2 marks)
Solve
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The vectors
What are the possible values of
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Find the exact value of
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For the vectors
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i.
ii. | ||
Let
It is given that
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A scientist is studying the growth of bacteria. The scientist models the number of bacteria,
where
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a. | ||
b.
c. | ||
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a.
b. | ||
Cards are stacked to build a 'house of cards'. A house of cards with 3 rows is shown.
A house of cards requires 3 cards in the top row, 6 cards in the next row, and each successive row has 3 more cards than the previous row.
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a.
b.
Which of the following is the range of the function
The table shows the types of customer complaints received by an online business in a month.
a.
b.
Which of the following could be the graph of
A teacher surveyed the students in her Year 8 class to investigate the relationship between the average number of hours of phone use per day and the average number of hours of sleep per day.
The results are shown on the scatterplot below.
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a.
b.
A company purchases a machine for $50 000. The two methods of depreciation being considered are the declining-balance method and the straight-line method.
a.i.
a.ii.
b.
A real estate agent's commission for selling houses is 2% for the first $800 000 of the sale price and 1.5% for any amount over $800 000.
Calculate the commission earned in selling a house for $1 500 000. (2 marks)
The table below shows the distances, in kilometres, between a number of towns.
Tom is 25 years old, and likes to keep fit by exercising.
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a. | ||
b.
Alex purchased 800 shares. The total cost was $2.60 per share. Alex sold the shares one year later for $3.40 each and paid a fee of $24.95 for selling the shares.
What profit did Alex make on these shares?
An object is projected vertically into the air. Its height,
For how long is the object at a height of 300 metres or more above the ground?
Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day.
What are Tian's total earnings if she works 9 hours per day for 5 days?
A step-up transformer is constructed using a solid iron core. The coils are made using copper wires of different thicknesses as shown.
The table shows electrical data for this transformer.
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a. The energy input into this transformer is 500 J
The energy output is given by:
This is consistent with the law of conservation of energy as 500 J
b. → Laminating the iron core prevents large eddy currents from being induced in it.
→ This reduces energy loss in the form of heat, increasing efficiency.
→ Increasing the thickness of the wire in the primary coil reduces its resistance, increasing the transformer’s efficiency.
a. The energy input into this transformer is 500 J
The energy output is given by:
This is consistent with the law of conservation of energy as 500 J
b. Modification 1:
→ Laminating the iron core prevents large eddy currents from being induced in it.
→ This reduces energy loss in the form of heat, increasing efficiency.
Modification 2:
→ Increasing the thickness of the wire in the primary coil.
→ This reduces its resistance, increasing the transformer’s efficiency.
Two stars were observed from Earth. Their spectra are shown with the wavelength in nanometres.
Using these spectra, what can be concluded about the motion of the stars relative to Earth and their chemical compositions?
Both stars have the same set of spectral lines → Chemical composition is the same.
Spectral lines at different wavelengths → Different doppler shift → Different motion relative to the earth.
A projectile is launched by a cannon as shown.
Which arrow represents the velocity of the projectile at its maximum height?
At its maximum height the vertical velocity of the projectile is zero.
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i.
ii. See Worked Solutions
i. | |
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ii. Due to momentum dilation:
→ The momentum of the proton is greater than that predicted by classical mechanics.
→ Since
→ The wavelength of the proton is shorter than would be predicted by classical mechanics.
The graph shows data for a motor connected to a 240 V power supply.
The equation for the torque,
where | ||
A circuit breaker cuts the current to the motor if the current exceeds 5 A.
Determine what will happen when the motor produces a torque of 2.95 N m. Show relevant calculations. (3 marks)
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Current is below 5 A, so the circuit breaker will not cut the current and the motor will continue to run.
From the graph, when
Current is below 5 A, so the circuit breaker will not cut the current and the motor will continue to run.
A uranium isotope,
Which row of the table correctly shows the decay process
Decay process
Thorium has atomic number 90.
The graph shows the mass of a radioactive isotope as a function of time.
What is the decay constant, in
What was the basis for Maxwell's prediction of the velocity of electromagnetic waves?
Maxwell used equations to show interactions between electric and magnetic fields.
The structure of ethyl pentanoate is shown.
Which pair of chemicals would produce ethyl pentanoate by esterification?
→ Esterification involves a reaction between a carboxylic aciand an alcohol.
→ Creating ethyl pentanoate requires ethanol (which is an alcohol) and pentanoic acid (which is a carboxylic acid).
→ Ethanol + pentanoic acid ↔ ethyl pentanoate + water