A component of a roller coaster car bogie is to be punched out from a 10 mm thick rectangular plate of mild steel as shown.
Calculate the shear force of the punching die if the shear stress is 345 MPa. (3 marks)
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A uniform 8-metre ladder with a mass of 12 kg has been placed against a smooth wall.
Determine the minimum coefficient of static friction between the ground and the ladder. Assume there is no friction between the ladder and the wall. (4 marks)
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Graphical solution:
Analytical solution:
Outline how GPS satellites determine a position on the planet. (2 marks)
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→ Position is determined when a GPS satellites triangulate signals.
→ Triangulation depends on the accurate measurement of the time differences between signals traveling from satellites to GPS receivers.
→ Position is determined when a GPS satellites triangulate signals.
→ Triangulation depends on the accurate measurement of the time differences between signals traveling from satellites to GPS receivers.
Explain the functions of a transistor in an electrical circuit. (3 marks)
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→ One transistor function is to act as an amplifier. It magnifies a signal by allowing a current to flow from the emitter to the collector when a small current passes through the base.
→ A transistor can also operate as a switch. In this capacity, it allows current to flow or not, depending on whether certain conditions are satisfied.
→ One transistor function is to act as an amplifier. It magnifies a signal by allowing a current to flow from the emitter to the collector when a small current passes through the base.
→ A transistor can also operate as a switch. In this capacity, it allows current to flow or not, depending on whether certain conditions are satisfied.
Describe the process of compression moulding when used to manufacture aircraft components. (3 marks)
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→ The process of compression moulding of aircraft components requires a polymer to be fed into an open, heated mould cavity.
→ Once the polymer is soft, the mould is then closed and compressed.
→ Compression allows the material to fill the mould entirely. The charge cures within the heated mould.
→ When the piece is cured it is removed and the mould can be reused.
→ The process of compression moulding of aircraft components requires a polymer to be fed into an open, heated mould cavity.
→ Once the polymer is soft, the mould is then closed and compressed.
→ Compression allows the material to fill the mould entirely. The charge cures within the heated mould.
→ When the piece is cured it is removed and the mould can be reused.
A roller coaster car is at rest at point
Determine the height,
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Using the Conservation of Energy:
Draw, label and describe the microstructure of a thermosetting polymer. (3 marks)
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Human blood is composed of various cellular and non-cellular components, each uniquely contributing to different processes and roles required by the circulatory system.
Explain the importance of TWO different non-cellular components of blood. (4 marks)
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Answers can include two of the following.
Water:
→ Water is a main constituent of blood and lymph. It is critical in blood as it is a solvent for many substances, helping transport nutrients to all cells in the body.
→ Water in blood also helps lubricate joints and helps replace fluids lost to metabolism, breathing and the removal of waste.
Mineral ions:
→ There are many different types of mineral ions which are dissolved in blood including sodium, bicarbonate, magnesium, potassium, calcium and chloride.
→ These mineral ions regulate osmotic balance, pH and membrane permeability, amongst many other functions.
Plasma proteins:
→ Plasma proteins make up a significant portion of blood by volume (7–9%).
→ They regulate osmotic balance and pH (serum albumin) and contain enzymes and antibodies.
Answers can include two of the following.
Water:
→ Water is a main constituent of blood and lymph. It is critical in blood as it is a solvent for many substances, helping transport nutrients to all cells in the body.
→ Water in blood also helps lubricate joints and helps replace fluids lost to metabolism, breathing and the removal of waste.
Mineral ions:
→ There are many different types of mineral ions which are dissolved in blood including sodium, bicarbonate, magnesium, potassium, calcium and chloride.
→ These mineral ions regulate osmotic balance, pH and membrane permeability, amongst many other functions.
Plasma proteins:
→ Plasma proteins make up a significant portion of blood by volume (7–9%).
→ They regulate osmotic balance and pH (serum albumin) and contain enzymes and antibodies.
A student hypothesises that increasing the temperature of an exothermic reaction slows down the reaction rate because less products are produced. Is this student correct? Give reasons. (4 marks)
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→ The student is incorrect.
→ Exothermic reactions release heat to the surrounding environment, as modelled in this general reaction equation:
→ Increasing the temperature will result in fewer products being produced as the position of equilibrium shifts to the left (as per Le Chatelier’s principle).
→ However, contrary to the student’s hypothesis, fewer products being produced does not cause the reaction rate to slow down.
→ In fact, the rate of reaction will increase as the kinetic energy of particles will increase, leading to more successful particle collisions that exceed
→ The mistake the student has made is viewing fewer products as causing a decrease in reaction rate. The actual occurrence has been a shift in equilibrium to the left and an increase in the (forward) reaction rate to reach equilibrium.
→ The student is incorrect.
→ Exothermic reactions release heat to the surrounding environment, as modelled in this general reaction equation:
→ Increasing the temperature will result in fewer products being produced as the position of equilibrium shifts to the left (as per Le Chatelier’s principle).
→ However, contrary to the student’s hypothesis, fewer products being produced does not cause the reaction rate to slow down.
→ In fact, the rate of reaction will increase as the kinetic energy of particles will increase, leading to more successful particle collisions that exceed
→ The mistake the student has made is viewing fewer products as causing a decrease in reaction rate. The actual occurrence has been a shift in equilibrium to the left and an increase in the (forward) reaction rate to reach equilibrium.
The countercurrent flow in the gills of fish allow for up to 95% of oxygen to be extracted from water.
Explain how the structure of fish gills and the countercurrent flow contribute to the efficiency of the gas exchange process. (4 marks)
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→ Fish do not breathe air like humans but instead acquire oxygen through water when it flows over their gills.
→ The gill is structured by a gill bar (in bony fish) and contains thousands of leaf like filaments called lamellae.
→ Gas exchange can occur when water flows over the lamellae and their abundance drastically increases surface area, allowing for a higher frequency of gas exchange.
→ Gills also utilise countercurrent flow, where the water and deoxygenated blood will flow in opposite directions.
→ This allows for a concentration gradient to be maintained, rather than co-current flow which results in diffusion stopping when the oxygen is ‘evenly split’ 50/50 between the water and the blood.
→ Fish do not breathe air like humans but instead acquire oxygen through water when it flows over their gills.
→ The gill is structured by a gill bar (in bony fish) and contains thousands of leaf like filaments called lamellae.
→ Gas exchange can occur when water flows over the lamellae and their abundance drastically increases surface area, allowing for a higher frequency of gas exchange.
→ Gills also utilise countercurrent flow, where the water and deoxygenated blood will flow in opposite directions.
→ This allows for a concentration gradient to be maintained, rather than co-current flow which results in diffusion stopping when the oxygen is ‘evenly split’ 50/50 between the water and the blood.
Explain how the structure of the alveoli is suited to their function of gas exchange. (3 marks)
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→ Alveoli are the millions of microscopic air sacs which are in mammalian lungs.
→ They are surrounded by capillaries which contain deoxygenated blood. When air is inhaled the oxygen is able to diffuse into the blood along its concentration gradient.
→ The miniature size of alveoli is what allows simple diffusion to occur, while their abundance in mammalian lungs maximises the surface area, allowing more frequent gas exchange.
→ Alveoli are the millions of microscopic air sacs which are in mammalian lungs.
→ They are surrounded by capillaries which contain deoxygenated blood. When air is inhaled the oxygen is able to diffuse into the blood along its concentration gradient.
→ The miniature size of alveoli is what allows simple diffusion to occur, while their abundance in mammalian lungs maximises the surface area, allowing more frequent gas exchange.
Write a balanced chemical equation for the complete combustion of butane
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→ Products of complete combustion are:
→ Balanced equation:
Draw Lewis electron dot structures for the following ionic molecular compounds
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Draw Lewis electron dot structures for the following covalent molecular compounds
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A 50 gram copper ball is placed into an insulated container containing 50 mL of water and immediately sealed. The initial temperature of the metal ball and water is 50°C and 10°C respectively.
A student hypothesises that since the water and copper ball both have the same mass, the temperature of the metal ball and water, once thermal equilibrium is established, would be 30°C.
When the student measured the temperature inside the container, it was 26°C.
Explain the results of the experiment and why the student's hypothesis is incorrect. (4 marks)
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→ Although the masses of the copper ball and water are the same, the specific heat capacities of the objects are different which leads to different changes in temperature.
→ The student’s hypothesis is incorrect as they did not take the specific heat capacity values into account.
→ The specific heat capacity of water is greater than that of copper, thus a greater amount of energy would be required to heat water to a certain temperature than to heat copper to that same temperature.
→ Therefore, when reaching a state of thermal equilibrium, the energy transfer between the copper ball and water cools the copper ball down faster than the water heats up.
→ This leads to the final temperature within the container of 26°C, which is closer to the initial temperature of the water than the copper ball.
→ Although the masses of the copper ball and water are the same, the specific heat capacities of the objects are different which leads to different changes in temperature.
→ The student’s hypothesis is incorrect as they did not take the specific heat capacity values into account.
→ The specific heat capacity of water is greater than that of copper, thus a greater amount of energy would be required to heat water to a certain temperature than to heat copper to that same temperature.
→ Therefore, when reaching a state of thermal equilibrium, the energy transfer between the copper ball and water cools the copper ball down faster than the water heats up.
→ This leads to the final temperature within the container of 26°C, which is closer to the initial temperature of the water than the copper ball.
Explain the process by which nutrients are absorbed in the small intestine, giving examples. (5 marks)
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→ When food is broken down in the stomach, it forms a slurry of nutrients called chyme.
→ When chyme travels through the small intestine it passes over millions of folds called villi, each containing its own set of millions of microvilli which increase its surface area to roughly 300m2. Each villi is lined with one epithelial cell before reaching the blood vessels and then the lymph.
→ When thew chyme passes through the lumen (the space between villi), certain molecules can be rapidly absorbed by simple or facilitated diffusion across a concentration gradient.
→ Large molecules cannot diffuse through the cells and instead must be actively transported. To accommodate this, villi contain many mitochondria which produce the ATP required for active transport.
→ When food is broken down in the stomach, it forms a slurry of nutrients called chyme.
→ When chyme travels through the small intestine it passes over millions of folds called villi, each containing its own set of millions of microvilli which increase its surface area to roughly 300m2. Each villi is lined with one epithelial cell before reaching the blood vessels and then the lymph.
→ When thew chyme passes through the lumen (the space between villi), certain molecules can be rapidly absorbed by simple or facilitated diffusion across a concentration gradient.
→ Large molecules cannot diffuse through the cells and instead must be actively transported. To accommodate this, villi contain many mitochondria which produce the ATP required for active transport.
A boat is being rowed due north at a constant speed of 15 ms
Using vectors, determine the resultant velocity of the boat. (3 marks)
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→ Using the cosine rule, the magnitude of
→ Using the sine rule, the direction of
A plane that can fly at 500 kmh
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i.
ii.
i.
ii.
A cricket ball is hit vertically upwards from ground level, it gains 70 metres vertically and then falls back to the ground.
At what time(s) will the ball be 40 metres above the ground? Ignore any air resistance, giving your answer in seconds, correct to two decimal places. (4 marks)
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"Electronegativity increases as you move across periods left to right and decreases as you move down groups".
Explain this trend with reference to the following periodic table. (4 marks)
Moving from left to right:
→ As you move across a period from left to right in the same row, the number of protons in the nucleus of elements increases in accordance with their atomic number.
→ eg.
→ This leads to a greater attractive force and thus higher electronegativity.
Moving down within a group (column):
→ Adding electron shells to a nucleus decreases electronegativity.
→ This is due to an increase in atomic radius and the effect that extra electron shells have in shielding the attractive forces of protons.
→ All the elements in a period (row) further down the periodic table have an extra electron shell than the period directly above them, decreasing electronegativity as you move down.
Moving from left to right:
→ As you move across a period from left to right in the same row, the number of protons in the nucleus of elements increases in accordance with their atomic number.
→ eg.
→ This leads to a greater attractive force and thus higher electronegativity.
Moving down within a group (column):
→ Adding electron shells to a nucleus decreases electronegativity.
→ This is due to an increase in atomic radius and the effect that extra electron shells have in shielding the attractive forces of protons.
→ All the elements in a period (row) further down the periodic table have an extra electron shell than the period directly above them, decreasing electronegativity as you move down.
Greenhouses have been used to generate higher crop yields than open-field agriculture. To encourage plant growth in greenhouses, the conditions required for photosynthesis are controlled. Commercial greenhouses, like the ones shown below, often use a lot of energy for heating, ventilation, lighting and water.
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a. Temperature maintenance:
→ Photosynthesis is regulated by different enzymes which are intrinsic to numerous processes involved in photosynthesis.
→ If the temperature of a greenhouse is changed, then the enzymes may decrease in activity or denature, causing a reduction in the rate of photosynthesis or even ceasing it all together.
→ This can cause problems in the plants such as a reduction in growth or plant death.
b. Crop yield increases:
→ Red wavelengths of light are used during photosynthesis, while green light is reflected off the plants.
→ This technology will allow an increase in crop yields by increasing the amount of red light which increases the rate of photosynthesis.
a. Temperature maintenance:
→ Photosynthesis is regulated by different enzymes which are intrinsic to numerous processes involved in photosynthesis.
→ If the temperature of a greenhouse is changed, then the enzymes may decrease in activity or denature, causing a reduction in the rate of photosynthesis or even ceasing it all together.
→ This can cause problems in the plants such as a reduction in growth or plant death.
b. Crop yield increases:
→ Red wavelengths of light are used during photosynthesis, while green light is reflected off the plants.
→ This technology will allow an increase in crop yields by increasing the amount of red light which increases the rate of photosynthesis.
A light ray from a laser passes from a glucose solution
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a.
→ When the light strikes the surface at an angle greater than the critical angle, Total Internal Reflection will occur.
→ As a result of the total internal reflection, all the light will be reflected off the boundary back into the glucose solution and therefore will not travel to the observer.
a. | ||
c. Observer cannot see the laser:
→ When the light strikes the surface at an angle greater than the critical angle, Total Internal Reflection will occur.
→ As a result of the total internal reflection, all the light will be reflected off the boundary back into the glucose solution and therefore will not travel to the observer.
Ancient cave drawings contribute evidence of cognitive changes that are unique to modern humans, Homo sapiens. Biologists argue that these unique cognitive changes in H. sapiens allowed cultural evolution that would have been impossible in other hominin species.
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A team of scientists dated the mineral deposits in the solid, transparent layer using uranium-thorium dating. They found that some of the mineral deposits are 65 000 years old.
What conclusion can be made about the age of the ancient drawings on the stalagmites? Justify your response. (2 marks)
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a. Answers could include two of the following:
→ Cave drawings show information being passed through generations.
→ The paintings often depict changing hunting techniques or dreaming stories over time.
→ Increasing complexity of these cave drawings over time shows the development of complex thought and symbolic relationships in H. sapien tribes.
b. → The drawings must be a minimum of 65,000 years old.
→ This is because they must be at least as old as the mineral layer on top of them.
c. → H. sapiens are believed to have arrived in Europe 45,000 years ago.
→ The dating shows the drawings are a minimum of 65,000 years old.
→ Therefore the data suggests that either H. neanderthalensis drew the art, or H. sapiens arrived earlier than currently believed.
a. Answers could include two of the following:
→ Cave drawings show information being passed through generations.
→ The paintings often depict changing hunting techniques or dreaming stories over time.
→ Increasing complexity of these cave drawings over time shows the development of complex thought and symbolic relationships in H. sapien tribes.
b. → The drawings must be a minimum of 65,000 years old.
→ This is because they must be at least as old as the mineral layer on top of them.
c. → H. sapiens are believed to have arrived in Europe 45,000 years ago.
→ The dating shows the drawings are a minimum of 65,000 years old.
→ Therefore the data suggests that either H. neanderthalensis drew the art, or H. sapiens arrived earlier than currently believed.
Many species of octopus can be found in the oceans surrounding Australia and New Zealand. Populations of octopus can be found on both the east and west coasts of Australia and on the north coast of New Zealand. The distribution of the populations is shown shaded on the map below.
Scientists investigated whether the octopus populations on Australia's east coast are a separate species from the populations on the west coast. After analysing both molecular and morphological results, the scientists concluded that all populations share a distant common ancestor. They also concluded that the populations of octopus on the east coast of Australia are a distinct species from the populations of octopus on the west coast of Australia.
Describe the process that may have led to the formation of the two distinct species of octopus from the distant common ancestor. (4 marks)
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a. → Geographical separation creates unique environmental selection pressures.
→ Random mutations that change the phenotype of an individual may then be beneficial and provide a survival advantage in their respective environment.
→ By Natural Selection, this survival advantage allows these beneficial traits to be preserved and carried through generations.
→ Over many generations this process produced two different octopus species on the east and west coast.
b. Answers can include any two of the following:
→ The populations could share a recent common ancestor which does not leave enough time to develop two seperate species.
→ The relatively close proximity (≈ 3000 km) may have led to very similar selection pressures in the two regions, thus leading to both communities developing similar characteristics.
→ The ability of octopi to travel long distances on wood or in the water currents may have led to interbreeding, causing gene flow between the populations.
a. → Geographical separation creates unique environmental selection pressures.
→ Random mutations that change the phenotype of an individual may then be beneficial and provide a survival advantage in their respective environment.
→ By Natural Selection, this survival advantage allows these beneficial traits to be preserved and carried through generations.
→ Over many generations this process produced two different octopus species on the east and west coast.
b. Answers can include any two of the following:
→ The populations could share a recent common ancestor which does not leave enough time to develop two seperate species.
→ The relatively close proximity (≈ 3000 km) may have led to very similar selection pressures in the two regions, thus leading to both communities developing similar characteristics.
→ The ability of octopi to travel long distances on wood or in the water currents may have led to interbreeding, causing gene flow between the populations.
Scientists measured the metabolic activity of mammalian cells by measuring the uptake of glucose into the cells. The cells were maintained at 37 °C with a pH of 7.4 and suspended in a nutrient solution containing glucose. The uptake of glucose into the cells was recorded for the next 30 minutes.
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The scientists repeated the experiment. They kept all conditions the same as for the first experiment, except that the cells were kept in low-oxygen conditions.
Would the uptake of glucose into the cells be expected to be higher, lower or the same as for the first experiment? Justify your response. (4 marks)
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a. → Metabolic activity requires energy in the form of ATP molecules.
→ ATP molecules are made via aerobic cellular respiration, a process which requires glucose.
b. Low oxygen environment:
→ By depriving the cell of oxygen it would struggle to respire aerobically, producing less ATP per molecule of glucose.
→ This would lead to a higher uptake of glucose to produce the same amount of ATP.
Answer could also include:
→ Being deprived of oxygen would cause the cell to respire anaerobically, producing toxins that damage the cell.
→ This anaerobic respiration does not require glucose. Therefore, the uptake of glucose by the cell would be less than in an oxygen rich environment.
a. → Metabolic activity requires energy in the form of ATP molecules.
→ ATP molecules are made via aerobic cellular respiration, a process which requires glucose.
b. Low oxygen environment:
→ By depriving the cell of oxygen it would struggle to respire aerobically, producing less ATP per molecule of glucose.
→ This would lead to a higher uptake of glucose to produce the same amount of ATP.
Answer could also include:
→ Being deprived of oxygen would cause the cell to respire anaerobically, producing toxins that damage the cell.
→ This anaerobic respiration does not require glucose. Therefore, the uptake of glucose by the cell would be less than in an oxygen rich environment.
The diagram below shows a small part of a cross-section of the plasma membrane of a cell.
Some substances can move directly through the phospholipid bilayer.
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Some very large substances and/or large particles that do not dissolve in the phospholipid bilayer can still move into or out of a cell.
Using one example, explain how the phospholipid bilayer transports these very large substances and/or large particles without the use of channel or carrier proteins either into a cell or out of a cell. (3 marks)
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a.
b. Into a cell:
→ Endocytosis is a process which allows large particles such as proteins or antigens to enter a cell.
→ Endocytosis involves the folding over of a membrane to form a vesicle. The contents of the vesicle can then be digested by enzymes within the cell.
Out of a cell:
→ Exocytosis is a process which allows large particles such as proteins, antibodies or neurotransmitters to exit a cell.
→ Exocytosis involves the formation of a vesicle around the materials which need to exit the cell.
→ This vesicle then fuses with the plasma membrane, releasing the contents into the environment.
a.
b. Into a cell:
→ Endocytosis is a process which allows large particles such as proteins or antigens to enter a cell.
→ Endocytosis involves the folding over of a membrane to form a vesicle. The contents of the vesicle can then be digested by enzymes within the cell.
Out of a cell:
→ Exocytosis is a process which allows large particles such as proteins, antibodies or neurotransmitters to exit a cell.
→ Exocytosis involves the formation of a vesicle around the materials which need to exit the cell.
→ This vesicle then fuses with the plasma membrane, releasing the contents into the environment.
Which one of the following statements about enthalpy change is correct?
→
→ When gas condensation occurs, energy is released in an exothermic reaction.
→ When gas condensation occurs, stronger bonds are formed between molecules and as bond forming is exothermic, condensation is an exothermic process.
→ Enthalpy change does not involve activation energy levels (eliminate
The molar heat of combustion of glucose,
Which one of the following statements about cellular respiration is correct?
→ Chemical equation for respiration:
→ Exothermic redox reaction where
→ 6 mol of
→ 1 mol
Optical fibres are constructed using transparent materials with different refractive indices.
Figure 14 shows one type of optical fibre that has a cylindrical core and surrounding cladding. Laser light of wavelength 565 nm is shone from air into the optical fibre (
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a.
b.
c.
a. | ||
b. | ||
c. | ||
Two blocks,
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a.
b.
a. → Using
→ |
||
b. Newton’s third law of motion:
→
→
A student sets up an experiment involving a source of white light, a glass prism and a screen. The path of a single ray of white light when it travels through the prism and onto the screen is shown in Figure 14.
A spectrum of colours is observed by the student on the screen, which is positioned to the right of the prism.
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a. → The observed effect is dispersion.
→ As light enters the glass it slows down as it is entering a denser medium.
→ As the refractive index for different wavelengths of light differs, the angle at which individual wavelengths refract differs slightly.
→ This causes the white light to split up as each wavelength refracts differently through the glass resulting in a rainbow spectrum on the screen.
b. Point
Point
a. → The observed effect is dispersion.
→ As light enters the glass it slows down as it is entering a denser medium.
→ As the refractive index for different wavelengths of light differs, the angle at which individual wavelengths refract differs slightly.
→ This causes the white light to split up as each wavelength refracts at different angles through the glass resulting in a rainbow spectrum on the screen.
b. Point
Point
In an experimental set-up used to investigate standing waves, a 6.0 m length of string is fixed at both ends, as shown in Figure 12. The string is under constant tension, ensuring that the speed of the wave pulses created is a constant 40 ms
In an initial experiment, a continuous transverse wave of frequency 7.5 Hz is generated along the string.
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a.
b. → A standing wave will not form.
→ A standing wave will form only if the wavelength of the wave is equal to an integer multiple
a.
b. → A standing wave will not form.
→ A standing wave will only form if the length of the string is equal to an integer multiple of
→ Since 6.0 m is not an integer multiple of
There are 13 species of small birds commonly known as Darwin's finches, found only on the Galápagos Islands in the Pacific Ocean, 1000 km west of South America. Their closest living relative is the dull-coloured grassquit, Asemospiza obscura, which is found on mainland South America. It is believed that Darwin's finches evolved from A. obscura or from its ancestor on the mainland.
The different finch species are similar in colour but vary in beak size and shape, habitat and diet.
Discuss how the different species of Darwin's finches arose from an ancestral population on the mainland. In your response, name the type of speciation that occurred and identify the main selection pressure(s) that has acted on finch populations. (6 marks)
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→ The variation in Darwin’s finches can be explained by allopatric speciation, where a few million years ago geographical separation of an ancestral finch species prevented gene flow between these isolated groups.
→ On the separate islands, varying factors including available food, water and shelter acted as selection pressures on the finch communities.
→ Random mutations in the finches, including ones which caused changes in beak size and shape, were potentially beneficial to the finch on it’s respective island. For example, if grubs were a common sauce of food on an island, a random mutation in a finch that produced a longer beak would make the grubs more accessible.
→ By Natural Selection, these traits would then be passed on by generations and overtime creating a new species of finch which is unique compared to those found on the other islands.
→ The variation in Darwin’s finches can be explained by allopatric speciation, where a few million years ago geographical separation of an ancestral finch species prevented gene flow between these isolated groups.
→ On the separate islands, varying factors including available food, water and shelter acted as selection pressures on the finch communities.
→ Random mutations in the finches, including ones which caused changes in beak size and shape, were potentially beneficial to the finch on it’s respective island. For example, if grubs were a common sauce of food on an island, a random mutation in a finch that produced a longer beak would make the grubs more accessible.
→ By Natural Selection, these traits would then be passed on by generations and overtime creating a new species of finch which is unique compared to those found on the other islands.
At what temperature range would the following reaction occur spontaneously.
where
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→ The reaction is spontaneous at temperatures greater than 2140.37 K.
→ As
→ Reaction is spontaneous when
→ Therefore the reaction is spontaneous at temperatures greater than 2140.37 K.
The following reaction represents the conversion of diamond to graphite:
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i.
→ Reaction is spontaneous.
ii. Rate of reaction and
→ Gibbs Free Energy doesn’t indicate anything about the kinetics of the reaction. While the conversion of diamond to graphite is spontaneous, it occurs over millions of year
→ Standard enthalpy and entropy of elements in their natural state is 0.
→ The reaction is spontaneous as
ii. Rate of reaction and
→ Gibbs Free Energy doesn’t indicate anything about the kinetics of the reaction. While the conversion of diamond to graphite is spontaneous, it occurs over millions of year
A 3.1g sample of
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i.
ii. | ||
iii.
Which one of the following reactions is a redox reaction?
→ In option
→ Other reactions are: precipitation (option
Hydrogen peroxide solutions are commercially available and have a range of uses. The active ingredient, hydrogen peroxide,
In this reaction, oxygen
→ The oxidation number of oxygen has decreased from –1 to –2 when
→ Also, the oxidation number of oxygen has increased from –1 to 0 when
A desalination plant produces 200 gigalitres (GL) of fresh water each year. The maximum level of boron permitted in desalinated water is 0.5 ppm (0.5 mg L
Calculate the maximum mass, in kilograms, of boron that is permitted in one year's production of desalinated water. (2 marks)
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A sinusoidal wave of wavelength 1.40 m is travelling along a stretched string with constant speed
Calculate the speed of the wave,
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→ Using
As part of their Physics course, Anna, Bianca, Chris and Danshirou investigate the physics of car crashes. On an internet site that describes what happens during car crashes, they find the following statement.
"It happens in a flash: your car goes from driving to impacting ... As the vehicle crashes into something, it stops or slows very abruptly, and at the point of impact the car's structure will bend or break. That crumpling action works to absorb some of the initial crash forces, protecting the passenger compartment to some degree."
The students disagree about the use of the word 'forces' in the statement, 'That crumpling action works to absorb some of the initial crash forces, protecting the passenger compartment to some degree',
Which one of the following students best identifies the physics of how the crumpling action protects the passengers?
A. | Anna | '... to absorb some of the initial crash speed, protecting ...' |
B. | Bianca | '... to absorb some of the initial crash kinetic energy, protecting ...' |
C. | Chris | '... to absorb some of the initial crash momentum, protecting ...' |
D. | Danshirou | '... to absorb some of the initial crash forces, protecting ...' |
→ It is the kinetic energy of the car which is transferred as the car hits the wall.
→ Part of the car’s kinetic energy goes into crumpling the front of the vehicle to protect the driver.
In an experiment, 5.85 g of ethanol was ignited with 14.2 g of oxygen.
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i.
i.
ii.
The emergency oxygen system in a passenger aircraft uses the decomposition of sodium chlorate to produce oxygen.
At 76.0 kPa and 292 K, each adult passenger needs about 1.60 L of oxygen per minute. The equation for the reaction is
Calculate the mass of sodium chlorate required to provide the required volume of oxygen for each adult passenger per minute. (3 marks)
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\(\text{3.56 grams\)
Students are modelling the effect of the resistance of electrical cables,
The students investigate the effect of changing
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a. |
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b.
c.
d. → The equation for the line:
→ The
→ Reading from the graph,
a. |
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b.
c.
d. → The equation for the line:
→ The
→ Reading from the graph,
Two blocks of mass 5 kg and 10 kg are placed in contact on a frictionless horizontal surface, as shown in the diagram below. A constant horizontal force,
Which one of the following statements is correct?
If the force
Using Newton’s second Law:
→ The blocks will experience the same acceleration.
→ Both blocks will have the same force to mass ratio. Since the 5 kg block is half the mass of the 10 kg block, it will experience half the magnitude of the net force as the 10 kg block.
A Physics teacher is conducting a demonstration involving the transmission of light within an optical fibre. The optical fibre consists of an inner transparent core with a refractive index of 1.46 and an outer transparent cladding with a refractive index of 1.42. A single monochromatic light ray is incident on the optical fibre, as shown in Figure 12.
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a.
b. Find the critical angle for Total Internal Reflection (TIR):
→ The angle of incidence is
→ As the angle of incidence is less than the critical angle, TIR will not occur and light will be transmitted into the cladding.
a. Using Snell’s Law:
b. Find the critical angle for Total Internal Reflection (TIR):
→ The angle of incidence is
→ As the angle of incidence is less than the critical angle, TIR will not occur and light will be transmitted into the cladding.
Figure 5 shows a stationary electron
The switch is now closed.
Determine the magnitude and the direction of any electric force now acting on the electron. Show your working. (3 marks)
→ Determine the magnitude of the electric force on the electron:
→ The longer line of the battery cell represents the positive terminal, hence the bottom plate will be the positive plate and the electric force on the electron will be towards the bottom plate.
Two identical bar magnets of the same magnetic field strength are arranged at right angles to each other and at the same distance from point
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a.
b.
b.
A ray of green light from a light-emitting diode (LED) strikes the surface of a tank of water at an angle of 40.00° to the surface of the water, as shown in Figure 11. The ray arrives at the base of the tank at point
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a.
b.
a.
b.
Kym and Kelly are experimenting with trolleys on a ramp inclined at 25°, as shown in Figure 7. They release a trolley with a mass of 2.0 kg from the top of the ramp. The trolley moves down the ramp, through two light gates and onto a horizontal, frictionless surface. Kym and Kelly calculate the acceleration of the trolley to be 3.2 m s
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a.i. See Worked Solutions
a.ii.
b.i.
b.ii. For the collision to be elastic, the kinetic energy must be conserved.
→ As the kinetic energy of the system decreases after the collision, it is not an elastic collision.
a.i. The gravitational force down the slope:
a.ii. | ||
b.i. By the conservation of momentum:
b.ii. For the collision to be elastic, the kinetic energy must be conserved.
→ As the kinetic energy of the system decreases after the collision, it is not an elastic collision.
A 45° glass prism is submerged in water and oriented as shown in the diagram below. It is used to reflect a light ray through 90°.
What is the lowest refractive index of the glass prism that will ensure that total internal reflection occurs inside the prism? (2 marks)
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→ Using snell’s law where
A railway truck
After the collision, they are joined together and move off at speed
Which one of the following is closest to the mass of railway truck
Which one of the following best describes the force exerted by the railway truck
→ By the law of conservation of momentum, the momentum before the collision is equal to the momentum after the collision.
→ By Newton’s 3rd law of motion, each action has an equal and opposite reaction.
→ Hence, the force of
Two students pull on opposite ends of a rope, as shown in the diagram below. Each student pulls with a force of 400 N.
Which one of the following is closest to the magnitude of the force of the rope on each student?
→ Newton’s 3rd Law states that every action has an equal and opposite reaction.
→ As each student exerts a force of 400 N on the rope, the rope will exert a force of 400 N on the student.
Victoria’s fossil emblem Koolasuchus cleelandi, shown on the stamp above, was chosen in January 2022.
K. cleelandi fossils have been found in Boonwurrung country in Gippsland. Studies of K. cleelandi fossils have revealed many interesting findings. Several of these findings are summarised below.
K. cleelandi findings
Part 1
Which combination of findings from the list above is most likely to be associated with an increased chance of formation of K. cleelandi fossils?
Part 2
It is most likely that scientists determined the absolute age of K. cleelandi fossils
→ K. cleelandi has large, dense bones (finding 2) which are less likely to decay overtime and hence have a higher chnace of being fossilised for a long period of time.
→ Because these bones are remaining in a river carrying many sediments (finding 4) the bones are more likely to be fossilised as they are covered quicker, reducing disturbance and hiding them from scavnegers.
→ Radioisotope dating of rocks is extremely accurate and reliable source of dating. Therefore it ios likely that scientists dated K. cleelandi fossils by dating the surrounding rock.
Which one of the following statements describes the effect that adding a catalyst will have on the energy profile diagram for an exothermic reaction?
→ The energy content of both the products and reactants is the same in both reactions (
→ Although the activation energy of the forward and reverse reaction decreases by the same amount in the uncatalysed vs catalysed reactions, the proportions are different (i.e. the decrease is a higher proportion of the forward reaction’s activation energy).
The heat of combustion of ethanoic acid,
Which one of the following pairs is correct?
A. | ||
B. | ||
C. | ||
D. |
→ Ethanoic acid converts less chemical energy to heat energy per mole (–876 kJ vs –973 kJ) indicating a lower chemical energy per mole.
→ Methyl methanoate’s lower autoignition temperature (449°C vs 485°C) indicates that a lower activation energy for combustion is needed.
The combustion of which fuel provides the most energy per 100 g?
A sample of olive oil with a wick in a jar is ignited and used to heat a beaker containing 500.0 g of water,
After complete combustion of 2.97 g of olive oil, calculate the final temperature of the water, in degrees Celsius. (3 marks)
The heat of combustion of a sample of crude oil is to be determined using a bomb calorimeter. All of the students in a class are given the same method to follow. The apparatus used by the students is shown below.
For this experiment, the students could maximise
Consider each option:
→ Option A: Error involved in reading the thermometer would be improved by this measure.
→ Option B: Energy per mole is inappropriate as crude oil is used.
→ Option C: Accuracy dependent on process technique, not the source of samples.
→ Option D: If the procedure itself creates inaccuracy, this is incorrect.