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Question 1

(a) Sensitivity is one of the characteristics of living organisms.
Define the term sensitivity.
(b) Fig. 1.1 is a diagram of a human eye.
(i) Draw an X on Fig. 1.1 to identify the position of the blind spot.
(ii) Identify the letter from Fig. 1.1 that shows the part that:
contains receptor cells                                            ………………………….
controls the amount of light entering the eye    ………………………….
refracts light.                                                             ………………………….
(iii) A person changes their focus from a near object to a distant object.
Describe the changes that occur to the parts labelled A, E and F in Fig. 1.1 when focusing on a distant object.
(c) The eye forms part of the peripheral nervous system.
Name the two parts of the central nervous system.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic B1.1 — Characteristics of living organisms (Part (a))
• Topic B13.1 — Coordination and response (Parts (b)(i)–(iii), (c))

▶️ Answer/Explanation

(a) Sensitivity is the ability to detect and respond to changes in the environment

Living organisms sense stimuli in their surroundings.
They then respond appropriately to these changes.
This ability is essential for survival and adaptation.

(b)(i) X drawn on the blind spot (where the optic nerve leaves the eye)

The blind spot is where the optic nerve exits the retina.
No photoreceptor cells are present at this point.
Light falling here therefore cannot be detected.

(b)(ii) H — receptor cells; B — controls light entering; C — refracts light

H is the retina, which contains the light-sensitive receptor cells.
B is the iris, which controls pupil size and hence light entering the eye.
C is the cornea, which does most of the refracting of light entering the eye.

(b)(iii) A becomes thinner; E tightens/stretches; F relaxes

A (the lens) becomes thinner to reduce its refractive power for distant objects.
E (the ciliary muscle) tightens/contracts, pulling the lens flatter.
F (the suspensory ligaments) become taut, increasing tension on the lens.

(c) Brain; spinal cord

The central nervous system (CNS) is made up of the brain and spinal cord.
It processes information received from receptors via the peripheral nervous system.
The eye, as a receptor organ, is part of the peripheral nervous system, not the CNS.

Question 2

Potassium is in Group I of the Periodic Table.
(a) Potassium-39 is an isotope of potassium.
(i) Explain what is meant by an isotope.
(ii) Potassium-39 has a proton number (atomic number) of 19 and a nucleon number (mass number) of 39.
Complete Table 2.1 to give the number of particles in
  • a potassium atom
  • a potassium ion.
(b) Sodium is another element in Group I.
Sodium reacts with water.
Sodium hydroxide, NaOH, and hydrogen are made.
Construct the balanced symbol equation for this reaction.
(c) Fig. 2.1 is a dot-and-cross diagram which shows the electronic structure of a sodium atom and a fluorine atom.
A sodium ion and a fluoride ion are formed when sodium reacts with fluorine.
Complete the dot-and-cross diagram in Fig. 2.2 to show the electronic structure of a sodium ion and a fluoride ion.
Include the charges on the ions.
(d) A student wants to identify a metal halide, compound X.
(i) The student does a flame test, as shown in Fig. 2.3.

The flame colour turns from blue to yellow.
State the name of the metal ion in compound X.
(ii) The student dissolves compound X in distilled water,
The student then adds a little dilute nitric acid followed by a few drops of aqueous silver nitrate. A white precipitate is formed.
Suggest which halide ion is in compound X.
Choose from:
  • bromide
  • chloride
  • iodide

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic C2.3 — Isotopes (Part (a)(i))
• Topic C2.2 — Atomic structure and the Periodic Table (Part (a)(ii))
• Topic C8.2 — Group I properties (Part (b))
• Topic C2.4 — Ions and ionic bonds (Part (c))
• Topic C12.5 — Identification of ions and gases (Parts (d)(i)–(ii))

▶️ Answer/Explanation

(a)(i) Atoms with the same proton number but different nucleon number

Isotopes are atoms of the same element with identical proton numbers.
They have different nucleon (mass) numbers.
This means they differ in the number of neutrons only.

(a)(ii) Atom: 19 protons, 19 electrons, 20 neutrons; Ion (K⁺): 19 protons, 18 electrons, 20 neutrons

Number of neutrons = nucleon number − proton number = \(39 – 19 = 20\).
A potassium atom has 19 protons and 19 electrons (neutral).
A K⁺ ion has lost one electron, giving 18 electrons but still 19 protons and 20 neutrons.

(b) \(2Na + 2H_2O \rightarrow 2NaOH + H_2\)

Sodium reacts with water to give sodium hydroxide and hydrogen gas.
Balancing sodium, oxygen, and hydrogen atoms gives the coefficients above.
Two moles of sodium react with two moles of water to give two moles of NaOH and one mole of H₂.

(c) Na⁺ has 10 electrons (2,8); F⁻ has 10 electrons (2,8), with charges shown

Sodium (2,8,1) loses its outer electron to form Na⁺ (2,8).
Fluorine (2,7) gains that electron to form F⁻ (2,8).
Both ions must be shown in square brackets with the correct charge.

(d)(i) Sodium ion

A yellow flame colour is characteristic of sodium compounds.
This flame test is used to identify sodium ions (Na⁺) in a sample.

(d)(ii) Chloride

A white precipitate with acidified silver nitrate indicates a halide ion.
Silver chloride (AgCl) forms a white precipitate.
Silver bromide is cream and silver iodide is yellow, so the ion must be chloride.

Question 3

Fig. 3.1 shows an electric train.
(a) The train has a total mass of 680 000 kg.
During one journey, the train travels 180 km in 1 hour.
(i) Show that the average speed of the train during this journey is 50 m/s.
(ii) Calculate the average kinetic energy of the train during this journey.
(b) When the train passes through a station, the driver sounds a horn.
(i) In air, the frequency of the sound from the horn is 250 Hz and the wavelength is 1.32 m.
Calculate the speed of sound in air.
(ii) Describe how the sound wave travels through the air.
(c) The rails for the track are made of steel which has a density of 8100 kg/m³.
(i) A length of rail has a mass of 324 kg.
Calculate the volume of each length of rail.
(ii) Fig. 3.2 shows two lengths of train track.
Explain why the lengths of train track are laid with small gaps between them.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic P1.2 — Motion (Parts (a)(i)–(ii))
• Topic P3.4 — Sound (Parts (b)(i)–(ii))
• Topic P1.4 — Density (Part (c)(i))
• Topic P2.2.1 — Thermal expansion of solids, liquids and gases (Part (c)(ii))

▶️ Answer/Explanation

(a)(i) 50 m/s

Distance travelled = \(180 \, \text{km} = 180\,000 \, \text{m}\).
Time taken = \(1 \, \text{hour} = 3600 \, \text{s}\).
Speed \(= \dfrac{180\,000}{3600} = 50 \, \text{m/s}\).

(a)(ii) \(8.5 \times 10^8\) J

Kinetic energy \( = \dfrac{1}{2}mv^2\).
\( = \dfrac{1}{2} \times 680\,000 \times 50^2\).
\( = 850\,000\,000 \, \text{J}\).

(b)(i) 330 m/s

Wave speed \(v = f\lambda\).
\(v = 250 \times 1.32\).
\(v = 330 \, \text{m/s}\).

(b)(ii) Sound travels as a longitudinal wave via vibrating air particles

Air particles vibrate/oscillate parallel to the direction of travel.
This produces regions of compression, where particles are close together.
It also produces regions of rarefaction, where particles are spread apart.

(c)(i) 0.04 m³

Volume \(= \dfrac{\text{mass}}{\text{density}}\).
Volume \(= \dfrac{324}{8100}\).
Volume \(= 0.04 \, \text{m}^3\).

(c)(ii) Gaps allow for thermal expansion and prevent buckling

When temperature increases, the steel rails expand.
Without gaps, the expanding rails would have nowhere to go.
The small gaps prevent the tracks from buckling or bending under this expansion.

Question 4

(a) A student investigates the effect of bile and lipase on the digestion of fat in milk.
Fat is digested into fatty acids and glycerol.
The student
  • sets up three test-tubes, as shown in Table 4.1
  • uses an indicator which turns pink when fatty acid is present
  • records how long it takes the indicator to turn pink in each test-tube
(i) Explain the results for test-tube 2.
(ii) Calculate the difference in time taken for the indicator to turn pink between test-tubes 1 and 3.
(iii) Explain the difference between the results for test-tube 1 and 3.
(b) State the name of the organ that produces bile.
(c) After food has been digested, it is absorbed.
(i) Explain how villi increase the rate of absorption of digested food.
(ii) State the part of the alimentary canal where villi are found.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic B5 — Enzymes (Parts (a)(i)–(iii))
• Topic B7.2 — Digestive system (Part (b))
• Topic B7.3 — Digestion (Parts (c)(i)–(ii))

▶️ Answer/Explanation

(a)(i) The boiled lipase is denatured and cannot digest the fat

Boiling denatures the lipase enzyme.
The shape of its active site is permanently changed.
It is no longer complementary to the substrate, so fat is not broken down and the indicator never turns pink.

(a)(ii) 182 seconds

Time for test-tube 1 = 378 s.
Time for test-tube 3 = 196 s.
Difference \(= 378 – 196 = 182 \, \text{s}\).

(a)(iii) Bile in test-tube 3 emulsifies the fat, speeding up digestion

Bile emulsifies the fat into smaller droplets.
This increases the surface area of fat exposed to lipase.
Digestion is therefore faster in test-tube 3 than in test-tube 1, which has no bile.

(b) Liver

Bile is produced by the liver.
It is stored in the gallbladder before being released into the small intestine.

(c)(i) Villi provide a large surface area for absorption

Villi are finger-like projections lining the small intestine.
They greatly increase the surface area available for absorption of digested nutrients.

(c)(ii) Small intestine

Villi are found lining the small intestine.
This is where most absorption of digested food takes place.

Question 5

This question is about hydrocarbons. Fig. 5.1 shows the displayed formulae of three hydrocarbons: ethane, propane and propene.
(a) The molecular formula of ethane is \(C_2H_6\).
Write down the molecular formula of propene.
(b) Ethane and propane are members of the same group of hydrocarbons called the alkanes.
State which group of hydrocarbons propene belongs to.
(c) Propene is an unsaturated hydrocarbon.
State what is meant by the word unsaturated.
(d) Propene can be changed into propane by reaction with hydrogen, as shown in Fig. 5.2.
State the name of this type of reaction.
(e) Aqueous bromine is used to tell the difference between propene and propane.
State what you would see when aqueous bromine is added to propene and propane.
(f) (i) Propene can be used as a monomer.
Propene can be converted into a polymer, poly(propene), in an addition polymerisation reaction.
Complete Fig. 5.3 to show the structure of poly(propene).
(ii) Nylon is another polymer.
Nylon is made in a condensation polymerisation reaction.
Describe the differences between addition polymerisation and condensation polymerisation.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic C11.4 — Alkanes (Parts (a)–(b))
• Topic C11.5 — Alkenes (Parts (c), (e))
• Topic C6.3 — Redox (Part (d))
• Topic C11.7 — Polymers (Parts (f)(i)–(ii))

▶️ Answer/Explanation

(a) \(C_3H_6\)

Propene has three carbon atoms and one carbon-carbon double bond.
Counting the hydrogens attached gives the molecular formula \(C_3H_6\).

(b) Alkenes

Propene contains a carbon-carbon double bond.
Hydrocarbons with at least one C=C double bond belong to the alkene homologous series.

(c) Contains a carbon-to-carbon double bond

An unsaturated hydrocarbon has at least one C=C double bond.
This allows it to undergo addition reactions, unlike saturated hydrocarbons.

(d) Addition (reaction) / reduction / hydrogenation

Hydrogen is added across the carbon-carbon double bond of propene.
This converts the unsaturated alkene into the saturated alkane, propane.

(e) Propene: orange to colourless; Propane: stays orange (no change)

Propene reacts with aqueous bromine because of its C=C double bond, decolourising it.
Propane has no double bond, so it does not react and the bromine water stays orange.

(f)(i) Repeating unit \(-CH_2-CH(CH_3)-\) with the double bond opened

In addition polymerisation, the C=C double bond in propene opens.
Monomer units join together with single C–C bonds to form a long repeating chain.

(f)(ii) Addition: one large molecule, no by-product; Condensation: two products, often with water lost

Addition polymerisation joins monomers with double bonds, forming only one large polymer molecule.
Condensation polymerisation joins monomers with the loss of a small molecule, usually water.
Nylon is therefore made with water as a by-product of each linkage formed.

Question 6

Fig. 6.1 shows a child’s slide. The slide is made from plastic and is 1.8 m high.
(a) Calculate the work done in lifting a 15 kg child to the top of the slide.
State the unit for your answer.
The gravitational field strength \(g\) is 10 N/kg.
(b) Fig. 6.2 shows how the speed of the child changes as they slide down the plastic slide.
Describe how the motion of the child changes as they slide down the plastic slide.
(c) As the child slides down the plastic slide, they become positively charged.
Describe how the child becomes positively charged.
(d) A plastic slide is made from either black plastic or white plastic.
Complete the sentences below using the words more or less:
A white plastic slide will absorb infrared radiation ……… than a black plastic slide.
A white plastic slide will reflect infrared radiation ……… than a black plastic slide.
On a sunny day, a white plastic slide will heat up ……… than a black plastic slide.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic P1.6.2 — Work (Part (a))
• Topic P1.2 — Motion (Part (b))
• Topic P4.2.1 — Electrical charge (Part (c))
• Topic P2.3.3 — Radiation (Part (d))

▶️ Answer/Explanation

(a) 270 J

Work done \(= mgh\).
\(= 15 \times 10 \times 1.8\).
\(= 270 \, \text{J}\) (unit: joules, J).

(b) The child accelerates, with the acceleration decreasing over time

The speed increases throughout the slide, so the child accelerates.
The gradient of the graph is steeper at first, showing higher acceleration.
The gradient decreases later on, showing the acceleration reduces as friction increasingly opposes motion.

(c) Friction transfers electrons from the child to the slide

As the child rubs against the plastic slide, friction occurs.
Electrons are transferred from the child to the slide.
Losing negative electrons leaves the child with an overall positive charge.

(d) Less; more; less

A white surface absorbs less infrared radiation than a black surface.
A white surface reflects more infrared radiation than a black surface.
Because it absorbs less radiation, a white slide heats up less than a black slide on a sunny day.

Question 7

(a) Fig. 7.1 is a marine food web.
Table 7.1 shows some of the terms that can be used to describe the organisms in Fig. 7.1.
Put ticks (✓) in Table 7.1 to show all the terms used to describe each organism.
One has been done for you.
(b) Describe how producers are able to make their own carbohydrates.
(c) Describe three ways energy is lost between trophic levels.
(d) Marine organisms have developed adaptations such as gills.
(i) Complete the sentences to describe the process of adaptation:
Adaptation results from the process of natural ……… .
Some organisms are better adapted to the ……… than others.
These organisms survive and breed, passing on their ……… .
This process takes many ……… .
(ii) Gills are the gas exchange surface in fish.
List two features of gas exchange surfaces.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic B18.2 — Food chains and food webs (Part (a))
• Topic B6.1 — Photosynthesis (Part (b))
• Topic B18.1 — Energy flow (Part (c))
• Topic B17.2 — Selection (Part (d)(i))
• Topic B11 — Gas exchange in humans (Part (d)(ii))

▶️ Answer/Explanation

(a) Arctic cod: carnivore, quaternary consumer; Krill: herbivore; Orca: carnivore, quaternary consumer; Phytoplankton: producer

Phytoplankton is a producer, forming the base of the food web.
Krill feeds directly on phytoplankton, making it a herbivore.
Arctic cod and orca both feed on other consumers, so they are carnivores and, following the food chain to the top, quaternary consumers.

(b) Photosynthesis, using light energy, carbon dioxide and water

Producers absorb light energy using chlorophyll.
This energy converts carbon dioxide and water into glucose during photosynthesis.
Glucose can then be built into other carbohydrates such as starch and cellulose.

(c) Heat lost through respiration; energy lost in excretion/egestion; energy used for movement/metabolism

Some energy is lost as heat during respiration.
Some energy is lost in waste products, such as faeces and urea.
Some energy is used for movement and other metabolic processes, and not all parts of an organism are eaten or digested by the next trophic level.

(d)(i) Selection; environment; alleles; generations

Adaptation results from the process of natural selection.
Organisms best suited to their environment are more likely to survive and reproduce.
These organisms pass on their advantageous alleles to offspring, and this process occurs gradually over many generations.

(d)(ii) Large surface area; thin walls (short diffusion distance)

Gas exchange surfaces have a large surface area to maximise the rate of diffusion.
They also have thin walls to keep the diffusion distance short, along with a good blood supply and good ventilation.

Question 8

A student investigates how metals react with different solutions.
Table 8.1 shows the student’s experiments and some of the results.
The order of reactivity of the metals is shown.
(a) Use the order of reactivity and the information in Table 8.1 to predict the missing results. Write your answers in the boxes in Table 8.1.
(b) Zinc reacts with a solution of iron sulfate, \(FeSO_4\).
Iron and zinc sulfate are made.
Construct the balanced symbol equation for the reaction.
Include the state symbols.
(c) In the reaction between magnesium and zinc sulfate, magnesium ions, \(Mg^{2+}\), are formed from magnesium atoms.
Construct the balanced ionic half-equation for this reaction.
Use the symbol e⁻ for an electron.
(d) Magnesium reacts with hydrochloric acid.
Magnesium chloride, \(MgCl_2\), and hydrogen gas are made.
\(Mg + 2HCl \rightarrow MgCl_2 + H_2\)
(i) Calculate the maximum mass of magnesium chloride that can be made from 0.48 g of magnesium. Show your working. [\(A_r\): Cl, 35.5; Mg, 24]
(ii) State the test for hydrogen gas and give the observation for a positive result.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic C9.4 — Reactivity series (Parts (a)–(c))
• Topic C3.3 — The mole and the Avogadro constant (Part (d)(i))
• Topic C12.5 — Identification of ions and gases (Part (d)(ii))

▶️ Answer/Explanation

(a) Fe/CuSO₄: pink/brown metal; Mg/CuSO₄: silver-coloured metal, colourless solution

Iron is more reactive than copper, so it displaces copper metal (appearing pink/brown) from CuSO₄.
Magnesium is more reactive than copper, so it fully displaces the copper, leaving the metal silver-coloured.
The solution becomes colourless as the blue Cu²⁺ ions are removed and replaced by colourless Mg²⁺ ions.

(b) \(Zn(s) + FeSO_4(aq) \rightarrow Fe(s) + ZnSO_4(aq)\)

Zinc is more reactive than iron, so it displaces iron from iron sulfate.
Zinc forms zinc sulfate in solution, while solid iron is deposited.
The equation is already balanced with one mole of each species.

(c) \(Mg \rightarrow Mg^{2+} + 2e^-\)

Magnesium atoms lose two electrons to become Mg²⁺ ions.
This is an oxidation half-equation, balanced for charge and mass.

(d)(i) 1.9 g

Moles of Mg \(= \dfrac{0.48}{24} = 0.02 \, \text{mol}\).
From the equation, 1 mol Mg produces 1 mol MgCl₂, so moles of MgCl₂ = 0.02 mol.
\(M_r\) of MgCl₂ \(= 24 + (2 \times 35.5) = 95\), so mass \(= 0.02 \times 95 = 1.9 \, \text{g}\).

(d)(ii) Test: lighted splint; Observation: squeaky pop

A lighted splint is held at the mouth of the test tube containing the gas.
Hydrogen gas ignites rapidly, producing a characteristic squeaky pop sound.

Question 9

A student investigates the spring constant of three springs, A, B, and C, using Hooke’s law and the equipment shown in Fig. 9.1.
The student
  • measures the unloaded lengths of each spring
  • hangs identical masses from each spring, measuring the extended lengths.
(a) Table 9.1 shows the results.
(i) Spring A has a spring constant of 0.50 N/cm.
Calculate the weight of the mass hanging from spring A.
(ii) In the investigation, the student hangs identical masses from each spring.
State and explain which of the three springs has the largest spring constant.
(b) The springs are all made of metals and conduct electricity.
The student sets up a circuit to determine the electrical resistance of one of the springs.
Fig. 9.2 shows the circuit used.
The ammeter reads 0.75 A and the voltmeter reads 7.5 V.
(i) Calculate the resistance of the metal spring.
(ii) The spring acts like a solenoid when there is a current in it.
Draw on Fig. 9.3 to show the shape, and direction, of the magnetic field due to the current in the solenoid.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic P1.5.1 — Effects of forces (Parts (a)(i)–(ii))
• Topic P4.5.3 — Magnetic effect of current (Parts (b)(i)–(ii))

▶️ Answer/Explanation

(a)(i) 0.6 N

Extension \(= 3.4 – 2.2 = 1.2 \, \text{cm}\).
Force \(= k \times x = 0.50 \times 1.2\).
Force (weight) \(= 0.6 \, \text{N}\).

(a)(ii) Spring B; it has the smallest extension for the same load

All three springs carry the same mass, so the same force acts on each.
Spring B extends the least (from 4.0 cm to 4.3 cm, an extension of 0.3 cm).
Since extension is inversely proportional to spring constant, the smallest extension means Spring B has the largest spring constant.

(b)(i) 2 Ω

Voltage across the spring \(= 9 – 7.5 = 1.5 \, \text{V}\) (supply voltage minus the reading across the known 10 Ω resistor).
Resistance \(= \dfrac{V}{I} = \dfrac{1.5}{0.75}\).
Resistance \(= 2 \, \Omega\).

(b)(ii) Concentric loops forming a bar-magnet-like field, direction found using the right-hand grip rule

The magnetic field inside the solenoid runs parallel to its axis, like a bar magnet.
Field lines emerge from one end (forming a north pole) and loop back into the other end (south pole).
The direction is determined by the direction of current flow shown in the diagram, using the right-hand grip rule.

Question 10

(a) Fig. 10.1 shows a photomicrograph of some plant cells.
Fig. 10.2 shows a photomicrograph of the same plant cells immersed in a concentrated glucose solution.
(i) State the name of the effect shown by the change in appearance of the cells.
(ii) Explain the process that causes the cells in Fig. 10.1 to change appearance when immersed in concentrated glucose solution.
(b) Phloem cells in plants are responsible for translocation.
State the two main substances transported during translocation.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic B3.2 — Osmosis (Parts (a)(i)–(ii))
• Topic B8.4 — Translocation (Part (b))

▶️ Answer/Explanation

(a)(i) Plasmolysis

Plasmolysis is the shrinking of the cell contents away from the cell wall.
It occurs when plant cells lose water in a hypertonic (concentrated) external solution.

(a)(ii) Water leaves the cells by osmosis down a water potential gradient

The glucose solution outside has a lower (more negative) water potential than the cell contents.
Water moves out of the cell, across the partially permeable membrane, from high to low water potential.
This is osmosis, and the loss of water causes the cell membrane and cytoplasm to pull away from the cell wall.

(b) Sucrose; amino acids

Translocation is the movement of dissolved substances through phloem tissue.
Sucrose and amino acids are transported from sources, such as leaves, to sinks, such as roots and growing parts.

Question 11

Diamond and graphite are two forms of carbon shown in Fig. 11.1.
(a) Diamond is used in cutting tools. State one property of diamond that makes it suitable for this use.
(b) Graphite is soft and slippery. It is also a good conductor of electricity. State a use for graphite.
(c) Explain how graphite conducts electricity.
(d) There are strong bonds between the carbon atoms in diamond. State the name of this type of bond.
(e) Carbon bonds to oxygen in carbon dioxide, CO₂.
Complete the dot-and-cross diagram to show the bonding in carbon dioxide.
Show only the outer shell electrons.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic C2.6 — Giant covalent structures (Parts (a)–(d))
• Topic C2.5 — Simple molecules and covalent bonds (Part (e))

▶️ Answer/Explanation

(a) Hardness

Diamond is an extremely hard substance.
This property makes it suitable for cutting and drilling tools.

(b) Lubricant / pencils / electrodes

Graphite’s soft, slippery layers make it useful as a lubricant.
Its ability to leave marks makes it useful in pencils, and its conductivity makes it useful as electrodes.

(c) Delocalised electrons move through the structure

Each carbon atom in graphite is bonded to only three others, leaving one delocalised electron per atom.
These delocalised electrons are free to move between the layers.
The movement of these charged particles constitutes an electric current.

(d) Covalent

Diamond has a giant covalent structure.
Each carbon atom forms four strong covalent bonds to neighbouring carbon atoms.

(e) Two C=O double bonds, each sharing two pairs of electrons

Carbon dioxide has a linear structure, \(O=C=O\).
Carbon shares two pairs of electrons with each oxygen atom, forming two double covalent bonds.
Each oxygen also has two non-bonding lone pairs shown in the diagram.

Question 12

(a) Fig. 12.1 shows an incomplete electromagnetic spectrum.
State the names of the forms of radiation labelled P, Q and R.
(b) Visible light can be used to demonstrate refraction.
Fig. 12.2 shows refraction of visible light through a glass block.
Calculate the refractive index of the glass block.
(c) γ-rays are a form of ionising radiation emitted during radioactive decay.
(i) Draw lines to match each form of ionising radiation with its nature and relative ionising effect.
(ii) Lead-210 (\(^{210}_{82}Pb\)) will decay to form an isotope of bismuth. Use the correct nuclide notation to complete the decay equation for lead-210.
(iii) Fig. 12.3 shows the activity of a sample of lead-210. Use Fig. 12.3 to determine the half-life of lead-210.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654):

• Topic P3.3 — Electromagnetic spectrum (Part (a))
• Topic P3.2.2 — Refraction of light (Part (b))
• Topic P5.2.2 — The three types of nuclear emission (Parts (c)(i)–(iii))

▶️ Answer/Explanation

(a) P: microwaves; Q: infrared; R: ultraviolet

The electromagnetic spectrum is ordered by increasing frequency from radio waves to gamma rays.
Between radio waves and visible light lie microwaves (P) and infrared (Q).
Between visible light and X-rays lies ultraviolet (R).

(b) 1.93

Refractive index \(n = \dfrac{\sin i}{\sin r}\).
\(n = \dfrac{\sin 30°}{\sin 15°}\).
\(n \approx 1.93\).

(c)(i) α-particle: helium nucleus, high; β-particle: electron, medium; γ-ray: electromagnetic radiation, low

α-particles are helium nuclei and have the highest ionising effect due to their large mass and charge.
β-particles are fast-moving electrons and have a medium ionising effect.
γ-rays are electromagnetic radiation with no mass or charge, giving the lowest ionising effect.

(c)(ii) \(^{210}_{82}Pb \rightarrow \, ^{210}_{83}Bi + \, ^{0}_{-1}\beta\)

In β-decay, a neutron converts into a proton and an electron.
The proton number increases by 1 (82 → 83), while the nucleon number stays the same (210).
The emitted β-particle is represented as \(^{0}_{-1}\beta\).

(c)(iii) 22 years

Half-life is the time for activity to fall to half its original value.
Starting at about 380 counts/min, half of this is 190 counts/min.
Reading across from the graph, this activity occurs at approximately 22 years.

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