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Question 1 Report
| Instrument | Typical use |
|---|---|
| metre rule | lengths of a few cm up to 1 m |
| micrometer screw gauge | very small thicknesses and diameters |
| measuring cylinder | volume of a liquid |
| stopwatch | time intervals |
Table 1.1 lists four instruments and their typical uses. A student wants to measure the diameter of a thin copper wire as accurately as possible. Which instrument is most suitable?
The correct answer is a micrometer screw gauge. A micrometer measures to 0.01 mm, making it the most suitable for the small diameter of a thin wire. A metre rule (1 mm divisions) is far too imprecise, a stopwatch measures time not length, and a measuring cylinder measures volume.
Question 2 Report
The graph shows a wave on a string frozen at one instant; the whole picture spans 8 cm. The distance P is one wavelength. What is the wavelength?
The correct answer is 4 cm. The graph spans 8 cm of distance and shows exactly two complete cycles. The distance P marks one full wavelength, so \( \lambda = \frac{8}{2} = 4 \text{ cm} \). Choosing 8 cm counts the whole graph as one wavelength; 2 cm gives half a wavelength; 16 cm doubles the total span.
Question 3 Report
The diagram shows two atoms of oxygen written in nuclide notation, one with nucleon number 16 and one with nucleon number 18. Both have the same proton number. Which single statement correctly describes the relationship between these two oxygen atoms?
The correct answer is They are isotopes of the same element. Both atoms have the same proton number (8), so they are the same element (oxygen). They have different nucleon numbers (16 and 18), meaning they contain different numbers of neutrons (8 and 10 respectively). Atoms of the same element with different neutron counts are called isotopes. They are not different elements, not ions, and they do not have the same number of neutrons.
Question 4 Report
Two bar magnets rest end to end on a bench with a short gap between them. The right-hand end of the left magnet is a N pole and the left-hand end of the right magnet is a S pole. Curved field lines link the two ends across the gap. What is the force between these ends?
The right-hand end of the left magnet is a N pole, and the left-hand end of the right magnet is a S pole. A N pole and a S pole are unlike poles, so they attract each other. The curved field lines linking the two ends in the diagram show the field running from the N pole to the S pole across the gap, which is the characteristic pattern of attraction.
Like poles (N-N or S-S) repel, but unlike poles (N-S) always attract. The field lines between attracting poles curve smoothly from one magnet to the other, whereas between repelling poles the field lines push outward and a neutral point may form between them.
Question 5 Report
Fig. 1.1 shows a glass greenhouse in sunlight. Why does the air inside a greenhouse become warmer than the air outside?
The correct answer is that short-wave radiation enters, but the warmed inside re-emits longer-wave radiation that is trapped. Short-wave radiation from the Sun passes through the glass and is absorbed by the plants and soil, which warm up and re-radiate at longer infrared wavelengths that the glass does not transmit, so the energy stays inside. Convection of cold air inward would cool it, not warm it; the glass does not reflect all radiation away, and it is a poor conductor, so heating by conduction is not the cause.
Question 6 Report
| Angle of incidence | Angle of reflection |
|---|---|
| 10° | 10° |
| 25° | 25° |
| 40° | ? |
| 60° | 60° |
Table 1.1 shows results from an experiment on reflection at a plane mirror. Using the law of reflection, what value should replace the ? in the table?
The correct answer is 40°. The law of reflection states that the angle of incidence equals the angle of reflection. Every other row in the table confirms this (10 = 10, 25 = 25, 60 = 60), so the missing value for a 40° angle of incidence must also be 40°.
Question 7 Report
A single railway carriage of mass 2000 kg is pulled along a smooth, level track by a resultant force of 5000 N. There is no other force acting along the track. Using F = ma, find the acceleration of the carriage.
The acceleration is 2.5 m/s\(^2\). From \( F = ma \), \( a = \dfrac{F}{m} = \dfrac{5000}{2000} = 2.5\ \text{m/s}^2 \). The value 0.4 m/s\(^2\) inverts the fraction \( \left( \tfrac{2000}{5000} \right) \), 2500 m/s\(^2\) and 400 m/s\(^2\) come from misplacing the decimal or multiplying, so only \( \tfrac{5000}{2000} \) gives the correct 2.5 m/s\(^2\).
Question 8 Report
Fig. 2.6 shows the particles of the air trapped inside a large balloon. The particles are far apart and spread out to fill the whole space.
Why does this gas have no shape of its own?
The correct answer is that its particles move about and spread to fill the container. A gas has no shape of its own because its particles move freely and spread out to occupy whatever space is available, taking the shape of the container. The particles are not joined in a rigid frame, not frozen in place, and not too heavy to move, all of which would prevent the free movement that a gas actually has.
Question 9 Report
A glider pilot looks for a 'thermal' to gain height without a motor. A thermal is
A thermal is a rising column of warm, less dense air (a convection current). Ground warmed by the Sun heats the air above it, which expands, becomes less dense and rises as a column, and a glider circling in it is carried upward. It is not a conduction current or a downward flow of cold air, and it is a movement of air, not a beam of radiation.
Question 10 Report
Two identical metal bars have the same dull surface. One bar is kept at a steady 300 °C and the other at a steady 600 °C. The diagram shows infra-red radiation leaving each bar. Which bar gives out thermal radiation at the greater rate?
The rate at which an object emits thermal radiation increases with its temperature. The hotter an object is, the more infrared radiation it emits per second. Since the bar at 600 °C is at a much higher temperature than the bar at 300 °C, it radiates energy at a significantly greater rate.
In fact, the rate of radiation is proportional to the fourth power of the absolute temperature (the Stefan-Boltzmann law), so even a moderate increase in temperature produces a dramatic increase in radiation output. Both bars have identical surfaces and dimensions, so the only variable is temperature. The diagram illustrates this by showing more radiation waves leaving the hotter bar. Neither bar stops emitting radiation at any temperature above absolute zero.
Question 11 Report
The diagram shows a simple shell model of a neutral carbon atom. Each dot stands for one electron placed on a circular shell around the central nucleus. Count every dot in both shells to find the total number of electrons in this atom.
Counting the black dots (electrons) in the diagram: the inner shell (smaller circle around the nucleus) holds 2 electrons, and the outer shell (larger circle) holds 4 electrons. The total is 2 + 4 = 6 electrons, consistent with carbon having proton number 6. The other options do not match the number of dots shown.
Question 12 Report
In a metal, tiny free electrons can move between the fixed positive ions. The diagram shows one end of a metal bar being heated. How do the free electrons transfer the energy so quickly?
In metals, free electrons at the heated end gain kinetic energy from the vibrating lattice ions. Because they are free to move, they drift rapidly towards the cooler end of the bar, carrying that kinetic energy with them and transferring it to cooler ions through collisions. This is why metals conduct heat much faster than non-metals. The other options are wrong: electrons do not turn into infrared radiation, they do not join to form new atoms, and they are not stationary during conduction.
Question 13 Report
Fig. 1 shows a nut being loosened with a spanner. To turn the nut using a smaller force, what should you do?
The best change is to use a spanner with a longer handle. The moment is force times distance from the pivot, so a longer handle increases the distance and produces the same turning effect with a smaller force. A shorter handle or holding nearer the nut both reduce the distance and so need a larger force, and pushing in line with the handle gives no perpendicular distance and therefore no turning moment at all.
Question 14 Report
A damp cloth is laid on the forehead of someone with a fever. As water evaporates from the cloth, the skin below feels cooler because evaporation
The correct answer is removes energy from the skin as the fastest particles escape. As water evaporates from the damp cloth, the most energetic particles escape from the surface, taking thermal energy away from the cloth and the skin beneath it. This lowers the average kinetic energy of the remaining water and cools the skin. Evaporation does not seal warm air against the skin, does not add heat energy, and its cooling effect is well established - not "no effect."
Question 15 Report
A quantity is measured in an experiment on motion.
What is the correct unit for acceleration?
The correct answer is m/s². Acceleration is change of velocity (m/s) divided by time (s), giving \(\frac{\text{m/s}}{\text{s}}=\text{m/s}^2\). m/s is the unit of speed, m is distance and s is time.
Question 16 Report
The regions of the electromagnetic spectrum are shown in order of increasing frequency from left to right, so the energy of each wave also rises across the diagram. Which region has the greatest energy and is the most strongly ionising?
The correct answer is gamma rays. Photon energy rises with frequency, so gamma rays at the top of the spectrum carry the most energy and are the most strongly ionising. Radio waves and infra-red are low-frequency, low-energy regions, and visible light sits in the middle, all far less ionising.
Question 17 Report
The diagram is a snapshot of a wave on a rope. Four distances are labelled P, Q, R and S. Which distance is equal to the amplitude of the wave?
The amplitude of a wave is the maximum displacement from the equilibrium (rest) position. On a transverse wave diagram, this is the vertical distance from the central horizontal line to either the crest or the trough.
Looking at the labelled distances in the diagram:
A common mistake is to confuse R with S. The full crest-to-trough height (S) is double the amplitude. Amplitude is always measured from the rest position to one extreme, giving R as the correct answer.
Question 18 Report
A bimetallic strip is made of brass and iron. Brass expands more than iron for the same rise in temperature. When the strip is heated it bends as shown. Which metal is on the OUTSIDE of the curve?
The correct answer is D (metal P, because it expands more). When a bimetallic strip is heated, the metal that expands more becomes longer and is forced onto the outside of the curve, while the metal that expands less stays on the inside. In the diagram metal P is on the outside, so it must be the one that expands more.
Saying metal Q expands more contradicts the bending shown, and saying metal P expands less is inconsistent with it being on the longer, outer edge.
Question 19 Report
The diagram shows the particles in a non-metal solid, held in fixed positions by bonds. One end of the solid is heated. How is the thermal energy passed toward the cooler end?
The correct answer is that particles at the hot end vibrate more strongly and pass energy to neighbouring particles. In a non-metal solid the particles are fixed in place by bonds, so heating makes them vibrate harder and they hand kinetic energy on to their neighbours down the rod. Convection cannot happen because the particles cannot flow, they do not leave their fixed positions, and a non-metal has no free electrons to carry the energy.
Question 20 Report
Oil of density 0.9 g/cm³ is poured onto water of density 1.0 g/cm³. Where does the oil end up?
A liquid that is less dense than another does not sink into it, because a given volume of the less dense liquid weighs less than the same volume of the denser liquid, so it experiences a net upward force and rises above it. Since oil (0.9 g/cm³) is less dense than water (1.0 g/cm³), the oil rises to the top and forms a separate layer floating on the water rather than mixing with it or sinking.
The oil cannot mix evenly with the water (oil and water are immiscible) or sink or collect at the sides; the density difference alone determines that it settles as a layer on top.
Question 21 Report
Green light has a frequency of 6.0 × 1014 Hz. Using a speed of 3.0 × 108 m/s, what is its wavelength?
Using \(c = f\lambda\), rearrange for wavelength:
\[\lambda = \frac{c}{f} = \frac{3.0 \times 10^8}{6.0 \times 10^{14}} = 5.0 \times 10^{-7} \text{ m}\]
This is 500 nm, which lies in the visible light range and matches green light. The option \(1.8 \times 10^{23}\) m comes from multiplying \(c \times f\). The option \(5.0 \times 10^{-6}\) m has the wrong power of ten. The option \(2.0 \times 10^{6}\) m uses \(f/c\) instead of \(c/f\).
Question 22 Report
A technician needs to measure the mass of a component directly. Which instrument should be chosen?
The correct answer is a balance. A balance compares or measures mass directly in grams or kilograms. A forcemeter measures force (weight) in newtons, a stopwatch measures time, and a thermometer measures temperature.
Question 23 Report
Fig. 1.1 shows a tidal barrage built across the mouth of a river. How does the barrage generate electricity?
The correct answer is water flowing through it turns turbines as the tide rises and falls. A tidal barrage traps water at high tide. As the tide falls, the difference in water level forces water through turbines inside the barrage, driving generators. It does not work like a battery, it does not burn fuel, and sunlight is not directly converted to current.
Question 24 Report
Fig. 1.1 shows how the displacement of the air particles varies with distance for a sound wave in air at one instant. What is the wavelength of this sound wave?
The correct answer is 20 cm. The wavelength is the distance for one complete cycle of the wave, and the graph completes one full wave between 0 cm and 20 cm before repeating. Reading 40 cm counts two whole waves, and 10 cm is only half a wave, so both are wrong.
Question 25 Report
A radiant heater shines on a highly polished silver sheet. Most of the radiation that hits the sheet bounces off it instead of being taken in, as shown by the arrows. This shows that a shiny, polished surface is
The correct answer is that a shiny, polished surface is a poor absorber and a good reflector of radiation. The arrows show most of the incoming radiation bouncing off rather than being absorbed, which is exactly how a polished silver surface behaves. Radiation is not conducted, and a shiny surface is also a poor emitter, not a good one, so it neither absorbs strongly nor radiates strongly.
Question 26 Report
Four solid rods, each a different metal, project from the side of a tank of boiling water. A small ball is stuck near the free tip of every rod with candle wax. As energy travels along the rods the wax softens and the balls drop off. Which ball is the last to fall off?
The correct answer is the ball on the steel rod. Steel is the poorest conductor of the four metals, so energy travels along it most slowly and its wax takes longest to soften, making its ball the last to drop. Copper is the best conductor and its ball falls first, with brass and iron falling before steel.
Question 27 Report
The diagram shows a liquid of density 800 kg/m3 filling a container to a depth of 0.5 m. Using g = 10 N/kg, what is the pressure at the bottom due to the liquid?
The pressure at a point in a liquid due to the liquid above it is given by:
\[ p = \rho g h \]
where \(\rho\) is the density of the liquid, \(g\) is the gravitational field strength, and \(h\) is the depth below the surface.
Substituting the given values:
\[ p = 800 \times 10 \times 0.5 = 4000 \text{ Pa} \]
A common error is to confuse which quantities to multiply. All three must be multiplied together. If you only multiply two of the three values, you get 400, 4000, or 1600 depending on which pair you choose. With all three, the answer is 4000 Pa.
Question 28 Report
The particles of a gas move in continuous random motion and repeatedly strike the container walls. Averaged over the whole surface and over time, this bombardment is measured as the gas
As the diagram shows, gas particles are in continuous random motion, moving in all directions and repeatedly striking the container walls. Each collision between a particle and a wall exerts a tiny force on the wall. When this bombardment is averaged over the entire wall surface and over time, the cumulative effect of all these collisions produces a steady force per unit area.
Force per unit area is the definition of pressure. The gas pressure is therefore the macroscopic result of the microscopic collisions of vast numbers of particles with the container walls.
Weight and mass are properties of the gas as a whole, not the result of wall bombardment. Volume describes the space the gas occupies, not the effect of collisions. Pressure is the only quantity that directly corresponds to the average force exerted per unit area by the particle bombardment.
Question 29 Report
Fig. 5.2 shows the particles of a gas before and after the gas is warmed. After warming, the arrows on the particles are longer.
What has happened to the average kinetic energy of the particles?
After warming, the arrows on the particles are longer, indicating the particles are moving faster. Faster particles have greater kinetic energy, since \( E_k = \frac{1}{2}mv^2 \). Therefore the average kinetic energy of the particles has increased.
Temperature is directly related to the average kinetic energy of the particles. When a gas is heated, energy is transferred to the particles, increasing their speed and thus their kinetic energy. The kinetic energy cannot fall to zero (the particles are still moving), stay the same (the arrows are clearly longer), or decrease (the gas was warmed, not cooled).
Question 30 Report
A nitride ion is written in nuclide notation, with its charge shown beside the chemical symbol. The three negative charges mean the atom has gained three electrons compared with the neutral atom. How many electrons does this nitride ion contain in total?
The nuclide notation shows nitrogen with a proton number of 7 and a nucleon number of 14. The superscript \(3-\) tells you this is a nitride ion with three extra negative charges, meaning the atom has gained three electrons beyond its neutral state.
A neutral nitrogen atom has 7 protons and therefore 7 electrons. When it gains 3 electrons to form the \(\text{N}^{3-}\) ion:
\[ \text{electrons in ion} = 7 + 3 = 10 \]
A negative ion (anion) always has more electrons than protons. The gain of electrons gives the ion its negative charge because the total negative charge from electrons now exceeds the total positive charge from protons.
Question 31 Report
| Quantity | Unit |
|---|---|
| length | metre |
| time | second |
| mass | newton |
| current | ampere |
Which pairing is INCORRECT?
Table 1.1 pairs each quantity with a unit. One pairing is incorrect.
The correct answer is mass : newton. The newton is the SI unit of force, not mass. The SI unit of mass is the kilogram. All other pairings are correct: current is measured in amperes, length in metres, and time in seconds.
Question 32 Report
A manometer contains water of density 1000 kg/m3. The level on the gas side is 20 cm (0.20 m) lower than on the open side. Using g = 10 N/kg, by how much does the gas pressure exceed atmospheric pressure?
The excess pressure of the gas above atmospheric pressure equals the pressure produced by the extra height of liquid on the open side. Using \( p = \rho g h \) with density = 1000 kg/m3, g = 10 N/kg, and \( h \) = 0.20 m:
\[ p = 1000 \times 10 \times 0.20 = 2000 \text{ Pa} \]
20000 Pa comes from using 2 m instead of 0.20 m. 200 Pa uses 0.02 m, and 20 Pa uses 0.002 m. The key step is converting 20 cm to 0.20 m before substituting.
Question 33 Report
Fig. 2.16 shows radiation entering a magnetic field into the page. Alpha particles and beta particles carry opposite charges, so they curve in opposite directions along paths 1 and 3. The beta particles are deflected much more than the alpha particles by the same field. What is the main reason?
The correct answer is A (a beta particle has a much smaller mass than an alpha particle). In a magnetic field a charged particle moves on a circular arc of radius \( r = \frac{mv}{qB} \), so the smaller the mass \( m \), the tighter the curve and the greater the deflection. A beta particle is an electron with roughly \( \frac{1}{7000} \) of the mass of an alpha particle, so for the same field it is bent far more sharply along the strongly curved path.
Gamma radiation is uncharged and is not deflected at all, so it cannot push the beta particles sideways; a beta particle certainly does carry charge (it is negative); and nothing can move faster than light. The mass difference dominates over the fact that the alpha has the larger charge.
Question 34 Report
An object is dropped and falls freely near the surface of the Earth.
What is the approximate value of the acceleration of free fall?
The acceleration of free fall (often written as \( g \)) is a well-known constant near the Earth's surface. Its value is approximately 9.8 m/s2 (often rounded to 10 m/s2 in calculations).
This means that every second an object is in free fall, its downward speed increases by about 9.8 m/s (ignoring air resistance).
The value 100 m/s2 and 20 m/s2 are far too large, and 0.98 m/s2 is ten times too small. Knowing that \( g \approx 9.8 \text{ m/s}^2 \) (or \( \approx 10 \text{ m/s}^2 \)) is a fundamental fact required throughout the IGCSE Physics course.
Question 35 Report
| Method | Example |
|---|---|
| conduction | warm air rising above a heater |
| convection | a spoon heating in hot soup |
| radiation | the Sun warming the Earth |
| conduction | a spoon becoming hot by contact |
Table 1.1 tries to match each method of thermal energy transfer to an example. Only one row is matched correctly. Which row is correct?
The correct answer is radiation: the Sun warming the Earth. Energy from the Sun crosses empty space with no particles, which is radiation, so this pairing is right. A spoon heating in hot soup is conduction, not convection; warm air rising above a heater is convection, not conduction; and a spoon warming by contact is conduction, not radiation, so those rows are mismatched.
Question 36 Report
Convection can take place in liquids and gases but NOT in solids. Why can convection not happen in a solid?
Convection cannot happen in a solid because The particles are fixed in place and cannot flow to carry energy. Convection needs a fluid whose particles can move bodily, carrying their energy with them; in a solid the particles only vibrate about fixed positions, so no current can form. Solids do contain thermal energy and are not always the coldest state, and free electrons relate to conduction, not convection.
Question 37 Report
Two bar magnets are lined up with a small gap between them. The field lines run straight across the gap, as shown. What can you conclude about the poles facing each other across the gap?
The correct answer is that they are unlike poles and attract. Field lines running straight and unbroken from one magnet across the gap into the other show a N pole facing a S pole, and unlike poles attract. Like poles would repel, and their lines would bend apart rather than cross the gap.
Question 38 Report
A fitted brush called a draught excluder is placed along the bottom of a door. It keeps a room warmer by reducing energy loss by
The correct answer is that it reduces energy loss by convection, by stopping warm air escaping and cold air entering. The gap under a door lets warm room air leave and cold outside air flow in, a convection exchange, and the brush seals that gap. Cooling the door would be conduction, reflecting radiation describes a shiny foil, and evaporation from the walls is not involved.
Question 39 Report
You can feel the warmth of a bonfire on your face even though the air between you and the fire is cool. Which process transfers this energy to your face?
Radiation (infra-red) transfers the energy from the bonfire to your face. Thermal radiation is an electromagnetic wave that travels through the air (and even through a vacuum) at the speed of light. You feel the warmth on your face because infra-red radiation emitted by the fire is absorbed by your skin.
Conduction requires direct contact between materials. Evaporation is a cooling process. Convection carries warm air upward from the fire, not sideways to your face (the air between you and the fire is cool, confirming convection is not the mechanism here).
Question 40 Report
Power is the rate at which energy is transferred. Which is the correct SI unit for power?
Power is defined as the rate of energy transfer: \( P = \frac{E}{t} \), where \( E \) is energy in joules and \( t \) is time in seconds. The SI unit of power is the watt (W), where 1 W = 1 J/s.
The newton is the SI unit of force, the pascal is the SI unit of pressure, and the joule is the SI unit of energy. Since power is energy per unit time, not energy itself, the joule alone is not sufficient. Dividing joules by seconds gives watts.
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