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Question 1

(a) Fig. 1.1 shows medical notes from a person at risk of developing coronary heart disease (CHD).
(i) Complete this sentence about coronary heart disease.
Coronary heart disease is caused by a ………………………………….. of the coronary arteries.
(ii) Use Fig. 1.1 to state two ways that the person can reduce their risk of developing coronary heart disease.
(iii) The person cannot control one of the factors in Fig. 1.1 that puts them at greater risk of developing coronary heart disease. Identify this factor.
(b) Fig. 1.2 is a photomicrograph of a cross-section of an artery.
(i) Describe and explain the adaptations of the feature labelled X in Fig. 1.2 for the transport of blood.
(ii) State the type of circulation that mammals have.

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

• Topic B9.2 — Heart (Part (a))
• Topic B9.3 — Blood vessels (Part (b))

▶️ Answer/Explanation

(a)(i) blockage

Coronary heart disease results from fatty deposits building up inside the coronary arteries.
This narrows the artery lumen, restricting blood flow to the heart muscle.

(a)(ii) Stop smoking; do more exercise

From Fig. 1.1, the person smokes tobacco, which increases CHD risk — so stopping smoking reduces risk.
The person only walks for 10 minutes a week, so increasing exercise also reduces risk.

(a)(iii) Age

Age (68) is a risk factor the person cannot change or control.
Diet, weight, exercise, and smoking are all lifestyle factors that can be modified.

(b)(i) Thick, elastic/muscular wall

Feature \( X \) (the artery wall) is thick to withstand the high pressure of blood pumped from the heart.
The wall is elastic and muscular, allowing it to stretch and recoil.
This recoil helps maintain the high pressure of blood as it flows through the artery.

(b)(ii) Double circulation

Mammals have a double circulatory system.
Blood passes through the heart twice for each complete circuit of the body — once to the lungs (pulmonary circulation) and once to the rest of the body (systemic circulation).

Question 2

This question is about metals.
(a) Aluminium is used to make aircraft.
Identify from the list below one property of aluminium that makes it suitable for this purpose.
(b) Aluminium is used to make food containers because it is resistant to corrosion.
Explain why aluminium is resistant to corrosion.
(c) Metals can be mixed with other elements to form alloys.
Fig. 2.1 shows the structures of pure aluminium and an alloy of aluminium.
An alloy of aluminium called duralumin is often used to make aircraft instead of pure aluminium.
Explain, in terms of their structures and properties, why the alloy is used instead of pure aluminium.
(d) Steel is an alloy of iron. Steel is used to make car bodies.
The steel is usually coated with zinc before it is painted.
The zinc prevents rusting, even if the zinc layer is damaged.
Describe how the zinc prevents rusting.
(e) Table 2.1 shows a reactivity series for some metals.
Carbon, a non-metal, is also shown in Table 2.1.
State a metal from Table 2.1 that is extracted from its ore by electrolysis. Explain your answer.

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

• Topic C9.2 — Uses of metals (Part (a), (b))
• Topic C9.3 — Alloys and their properties (Part (c))
• Topic C9.5 — Corrosion of metals (Part (d))
• Topic C9.4/C9.6 — Reactivity series / Extraction of metals (Part (e))

▶️ Answer/Explanation

(a) Low density

Aircraft need to be as light as possible to reduce fuel consumption and allow flight.
Aluminium’s low density makes it much lighter than most other structural metals of similar strength.

(b) Forms a protective oxide layer

Aluminium reacts with oxygen in the air to form a thin layer of aluminium oxide on its surface.
This oxide layer adheres tightly to the metal and prevents further oxygen or water from reaching the aluminium beneath, so corrosion does not continue.

(c) Alloy structure prevents layers sliding

In the alloy, atoms of other elements (different sizes) are mixed in among the aluminium atoms, creating an irregular arrangement.
This distorts the regular layers of atoms found in pure aluminium.
The layers can no longer slide over each other as easily, so more energy/force is needed to deform the metal, making duralumin harder and stronger than pure aluminium.

(d) Sacrificial protection

Zinc is more reactive than iron.
Since zinc is more reactive, it oxidises/corrodes in preference to the iron, even where the zinc coating is scratched or damaged.
This is called sacrificial protection.

(e) Metal: sodium (or calcium or magnesium)

This metal is more reactive than carbon in the reactivity series.
Since carbon cannot displace it from its compound/ore by heating, it cannot be extracted by reduction with carbon.
Instead, it must be extracted using electrolysis, which is used for metals above carbon in reactivity.

Question 3

Meteoroids are lumps of rock which travel through space.
(a) During its journey through space, a meteoroid travels at a constant speed of \( 25\,000 \, \text{m/s} \).
(i) Calculate the time taken for the meteoroid to travel \( 1000 \, \text{m} \).
(ii) Fig. 3.1 shows a speed–time graph for the meteoroid as it enters the atmosphere of a planet.
Describe the motion of the meteoroid shown in Fig. 3.1.
(b) When the meteoroid lands on Earth, it is called a meteorite.
A small meteorite has a mass of \( 1720 \, \text{g} \) and a volume of \( 200 \, \text{cm}^3 \).
Calculate the density of the meteorite.
(c) When meteorites land on Earth, they produce very loud sound waves that travel through all materials including air, solid rock and liquid water.
(i) Describe how sound waves are transmitted in air.
(ii) Draw one line from each material to show the average speed of sound in that material.

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

• Topic P1.2 — Motion (Part (a))
• Topic P1.4 — Density (Part (b))
• Topic P3.4 — Sound (Part (c))

▶️ Answer/Explanation

(a)(i) \( t = 0.04 \, \text{s} \)

Speed is defined as \( v = \dfrac{d}{t} \), so \( t = \dfrac{d}{v} \).
\( t = \dfrac{1000}{25\,000} = 0.04 \, \text{s} \).

(a)(ii) Constant speed, then decelerates, then stops

From \( 0 \) to \( 3 \, \text{s} \), the meteoroid moves at a constant speed of \( 25\,000 \, \text{m/s} \) (horizontal line on the graph).
From \( 3 \, \text{s} \) onward, it slows down / decelerates, with the deceleration increasing (curve gets steeper).
At \( 7 \, \text{s} \), the speed reaches zero — the meteoroid stops or hits the ground.

(b) \( 8.60 \, \text{g/cm}^3 \)

Density is calculated using \( \rho = \dfrac{m}{V} \).
\( \rho = \dfrac{1720}{200} = 8.60 \, \text{g/cm}^3 \).

(c)(i) Compressions and rarefactions

Sound waves are longitudinal waves.
They are transmitted through air as a series of compressions (regions of higher pressure) and rarefactions (regions of lower pressure) as air particles vibrate back and forth.

(c)(ii) 

Sound travels fastest through solids, since particles are closely packed and transmit vibrations most efficiently.
It travels faster in liquids than in gases, since liquid particles are more closely packed than gas particles.
So: air (least dense, particles far apart) = 340 m/s; rock (solid) = 1500 m/s; water (liquid) = 4200 m/s — matching the given values exactly as per the mark scheme.

Question 4

(a) A scientist compares the relative concentrations of bacteria and dissolved oxygen in a river before and after fertiliser is added.
Fig. 4.1 is a graph of the results.
Complete the sentences to describe and explain the changes seen in Fig. 4.1.
Fertilisers entering the water contain ……………. ions.
An increase in the availability of these ions enables an increase in the ……………… of producers on the surface of the water.
Producers underneath the water are unable to ……………. due to a lack of light and they die.
The population of bacteria increases as they …………… the dead material.
The concentration of dissolved oxygen decreases because the bacteria need oxygen for the process of ……………. ……………. .
This entire process is called ………….. .
(b) Bacteria reproduce by a type of asexual reproduction.
(i) State the type of cell division used in asexual reproduction.
(ii) Describe two ways that asexual reproduction is different from sexual reproduction.
(iii) State the name of one type of cell adapted for sexual reproduction in humans.

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

• Topic B19.1 — Habitat destruction / freshwater pollution (Part (a))
• Topic B16.2 — Cell division; B15.1/B15.2 — Asexual/Sexual reproduction (Part (b))

▶️ Answer/Explanation

(a) nitrate; growth; photosynthesise; decompose; aerobic respiration; eutrophication

Fertilisers add nitrate ions, which increase the growth of producers (algae) on the water’s surface.
Producers below the surface are shaded from light and cannot photosynthesise, so they die.
Bacteria increase in number as they decompose this dead plant material, using up oxygen for aerobic respiration.
This whole process — from nutrient enrichment to oxygen depletion — is called eutrophication.

(b)(i) Mitosis

Asexual reproduction produces genetically identical offspring through mitosis, a type of nuclear division.

(b)(ii) Any two: identical offspring / one parent / no gametes

Asexual reproduction creates genetically identical offspring (clones), whereas sexual reproduction creates genetically varied offspring.
Asexual reproduction only requires one parent, while sexual reproduction requires two parents.
Asexual reproduction does not involve gametes or fertilisation, unlike sexual reproduction.

(b)(iii) Gamete (egg or sperm)

Gametes (the egg cell and sperm cell) are the specialised sex cells adapted for sexual reproduction in humans.

Question 5

(a) Particles can be atoms, ions or molecules. Particles either form pure substances or mixtures.
Draw one line from each word to the correct definition. One has been done for you.
(b) Particles can diffuse at different rates.
Fig. 5.1 shows an experiment to investigate diffusion of gas particles.
Ammonia gas, \( \text{NH}_3 \), and hydrogen chloride gas, \( \text{HCl} \), diffuse along the tube. When the gases meet, they react to form a white cloud of ammonium chloride.
(i) The ammonium chloride forms at the end of the tube furthest from the ammonia. Explain why, in terms of the movement of molecules.
(ii) Calculate the volume occupied by \( 5.1 \, \text{g} \) of ammonia gas.
The molar gas volume at room temperature and pressure is \( 24 \, \text{dm}^3 \).
Show your working.
[\(A_r\) : H, 1; N, 14]

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

• Topic C2.1 — Elements, compounds and mixtures (Part (a))
• Topic C1.2 — Diffusion (Part (b)(i))
• Topic C3.3 — The mole and the Avogadro constant (Part (b)(ii))

▶️ Answer/Explanation

(a) 

(b)(i) Ammonia molecules are lighter and diffuse faster

The molecular mass of ammonia (\( M_r = 17 \)) is less than that of hydrogen chloride (\( M_r = 36.5 \)).
Lighter molecules move faster and diffuse a greater distance in the same time, so ammonia travels further along the tube before meeting the hydrogen chloride, forming the cloud nearer the HCl end.

(b)(ii) \( 7.20 \, \text{dm}^3 \)

\( M_r \) of \( \text{NH}_3 = 14 + (3 \times 1) = 17 \).
moles of \( \text{NH}_3 = \dfrac{5.1}{17} = 0.3 \, \text{mol} \).
volume \( = 0.3 \times 24 = 7.2 \, \text{dm}^3 \).

Question 6

Fig. 6.1 shows an electric refrigerator.
(a) The cooling unit inside the refrigerator is placed at the top of the refrigerator.
(i) State the name of the process which transfers most thermal energy from the food to the cooling unit inside the refrigerator.
(ii) Explain, in terms of density changes, why the cooling unit being fitted at the top of the refrigerator allows all of the air inside to be cooled.
(b) The refrigerator uses the compression and expansion of gases in order to transfer thermal energy to the outside of the refrigerator.
Complete Table 6.1 to show how the pressure of a fixed mass of gas changes with temperature and with volume.
(c) The cooling unit in the refrigerator uses a motor.
Fig. 6.2 shows a simple d.c. motor.
Describe two ways to make a motor turn more slowly.

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

• Topic P2.3.2 — Convection (Part (a))
• Topic P2.1.3 — Pressure changes (Part (b))
• Topic P4.5.5 — The d.c. motor (Part (c))

▶️ Answer/Explanation

(a)(i) Convection

Most thermal energy is transferred from the food to the cooling unit by convection.

(a)(ii) Cooled air sinks, warm air rises

Air at the top is cooled by the cooling unit, becoming denser.
This cooled, denser air sinks to the bottom of the refrigerator.
Warmer air, which has a lower density, rises to take its place near the cooling unit, setting up a convection current that cools all the air inside.

(b) 

At constant volume, increasing the temperature increases the pressure of a fixed mass of gas.
At constant temperature, increasing the volume decreases the pressure — so completing the table: temperature increases → pressure increases; volume increases (temperature constant) → pressure decreases.

(c) Any two: decrease current; fewer turns; weaker magnet

Decreasing the current flowing through the coil reduces the turning effect, slowing the motor.
Using fewer turns on the coil also reduces the turning effect.
Using a weaker magnet (weaker magnetic field) similarly reduces the force on the coil, slowing its rotation.

Question 7

(a) Fig. 7.1 is a diagram of a cross-section of a leaf.
(i) State the names of the parts labelled A and B in Fig. 7.1.
(ii) Describe one way the part labelled C in Fig. 7.1 is adapted for gas exchange.
(iii) Draw a label line and the correct name on Fig. 7.1 to identify one cell that controls the entry of gas into the leaf.
(b) Describe the use of three different carbohydrates produced in a plant.

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

• Topic B6.2 — Leaf structure (Part (a))
• Topic B6.1 — Photosynthesis (Part (b) — use and storage of carbohydrates)

▶️ Answer/Explanation

(a)(i) A – (upper) epidermis; B – palisade mesophyll

Layer A is the upper epidermis, a protective outer layer.
Layer B is the palisade mesophyll, containing tightly packed cells rich in chloroplasts for photosynthesis.

(a)(ii) Large air spaces between loosely packed cells

The spongy mesophyll (C) has large air spaces between loosely packed cells.
This increases the surface area available for gas diffusion, allowing carbon dioxide and oxygen to exchange efficiently.

(a)(iii) Guard cell

A guard cell, found in pairs surrounding a stoma (pore), controls the opening and closing of the stoma, regulating gas entry into the leaf.

(b) Any three: glucose (respiration); starch (storage); cellulose (cell walls); sucrose (transport)

Glucose is used in respiration to release energy for the plant.
Starch is used as an insoluble storage carbohydrate.
Cellulose is used to build strong cell walls.
Sucrose is used to transport sugars around the plant in the phloem.

Question 8

Electrolysis is used to break down ionic compounds.
(a) Complete the sentences about electrolysis. Choose words from the list.
Each word may be used once, more than once, or not at all.
anions     cations     electrolytes     gain     lose     share
Electrolysis is the breakdown of an ionic compound when molten or in aqueous solution. The positive ions move to the negative electrode and ………………………………….. electrons to form atoms. The ………………………………….. move to the positive electrode and ………………………………….. electrons to form atoms.
(b) In an electrolysis experiment, using carbon electrodes, aqueous copper(II) sulfate is broken down. State the product made at each electrode.
(c) Aluminium is extracted from aluminium oxide by electrolysis.
Aluminium ions, \( \text{Al}^{3+} \), make aluminium, \( \text{Al} \).
Construct the balanced ionic half-equation for the reaction.

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

• Topic C4.1 — Electrolysis (all parts)

▶️ Answer/Explanation

(a) gain; anions; lose

Positive ions (cations) move to the negative electrode (cathode) and gain electrons to form atoms.
Negative ions (anions) move to the positive electrode (anode) and lose electrons to form atoms.

(b) Anode – oxygen; Cathode – copper

With inert carbon electrodes, oxygen gas is produced at the anode.
Copper metal is deposited at the cathode, since copper is less reactive than hydrogen.

(c) \( \text{Al}^{3+} + 3e^- \rightarrow \text{Al} \)

Aluminium ions each carry a charge of \( 3+ \).
To form neutral aluminium atoms, each ion must gain 3 electrons, giving the balanced half-equation \( \text{Al}^{3+} + 3e^- \rightarrow \text{Al} \).

Question 9

Tellurium is a rare element which exists as several isotopes, some of which are unstable.
(a) A nucleus of tellurium-109 decays by emitting an alpha-particle.
(i) Describe the effect of emitting an alpha-particle on the proton number (\( Z \)), number of neutrons and nucleon number (\( A \)) of a nucleus.
(ii) The decay of tellurium-109 produces an isotope of tin.
The half-life of tellurium-109 is \( 4.63 \, \text{s} \).
Calculate the time taken for a sample of pure tellurium-109 to contain 87.5% tin.
(b) Stable isotopes of tellurium can be used to make solar cells.
(i) State one advantage and one disadvantage of using solar cells to generate electricity.
(ii) Suggest why it is an advantage for a solar cell to be coloured black.
(iii) Fig. 9.1 shows a panel of solar cells.
On a sunny day, there is \( 1400 \, \text{W/m}^2 \) of sunlight hitting the solar cells shown in Fig. 9.1.
The solar cells have an efficiency of 16%.
Calculate the power output from the solar cells.

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

• Topic P5.2.3/P5.2.4 — Radioactive decay / Half-life (Part (a))
• Topic P1.6.3/P1.6.4 — Energy resources / Power (Part (b))

▶️ Answer/Explanation

(a)(i) Z reduces by 2; neutrons reduce by 2; A reduces by 4

An alpha particle consists of 2 protons and 2 neutrons (like a helium nucleus).
Emitting one therefore reduces the proton number (\( Z \)) by 2, the number of neutrons by 2, and the nucleon number (\( A \)) by 4.

(a)(ii) \( 13.9 \, \text{s} \)

87.5% tin means 12.5% tellurium-109 remains.
\( 100\% \rightarrow 50\% \rightarrow 25\% \rightarrow 12.5\% \) is 3 half-lives.
Time \( = 3 \times 4.63 = 13.9 \, \text{s} \).

(b)(i) Advantage: no CO₂ emissions; Disadvantage: doesn’t work at night

Solar cells generate electricity without producing carbon dioxide or contributing to climate change.
However, they don’t generate electricity at night, and require a large surface area to produce significant power.

(b)(ii) Black absorbs light/radiation well

A black surface is a good absorber of light and thermal radiation, meaning more of the incoming solar energy is absorbed rather than reflected, improving efficiency.

(b)(iii) \( 168 \, \text{W} \)

Area of the panel \( = 1.5 \times 0.5 = 0.75 \, \text{m}^2 \).
Power input \( = 1400 \times 0.75 = 1050 \, \text{W} \).
Power output \( = 1050 \times 0.16 = 168 \, \text{W} \).

Question 10

(a) Fig. 10.1 shows the effect of adrenaline on blood glucose concentration.
(i) Calculate the percentage increase in blood glucose concentration between 0 and 10 minutes in Fig. 10.1.
(ii) Explain the changes to blood glucose concentration shown between 10 and 30 minutes in Fig. 10.1.
(b) State the name of one hormone, apart from adrenaline, that increases the blood glucose concentration.
(c) Table 10.1 contains some definitions of processes that occur in the alimentary canal.
Complete Table 10.1 with the terms of each definition.
(d) Fig. 10.2 is a diagram of a structure found lining the small intestine.
(i) State the name of the structure shown in Fig. 10.2.
(ii) State the name and function of the part labelled X in Fig. 10.2.

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

• Topic B13.2 — Hormones (Parts (a), (b))
• Topic B7.2 — Digestive system (Parts (c), (d))

▶️ Answer/Explanation

(a)(i) 81%

Blood glucose concentration at 0 minutes \( \approx 1050 \, \text{g/m}^3 \); at 10 minutes \( \approx 1900 \, \text{g/m}^3 \).
Percentage increase \( = \dfrac{1900 – 1050}{1050} \times 100 \approx 81\% \).

(a)(ii) Insulin released, glucose converted to glycogen

The rise in blood glucose is detected by the pancreas.
Insulin is released, which stimulates the conversion of glucose to glycogen.
Glycogen is stored in the liver, causing blood glucose concentration to fall back towards normal.

(b) Glucagon

Glucagon, also secreted by the pancreas, raises blood glucose concentration by stimulating the breakdown of glycogen to glucose.

(c) mechanical digestion; assimilation; absorption

Mechanical digestion breaks food into smaller pieces without chemical change.
Assimilation is the uptake and use of digested nutrients by body cells.
Absorption is the movement of digested food molecules through the intestinal wall into the blood.

(d)(i) Villus

The finger-like projection shown lining the small intestine is called a villus.

(d)(ii) Lacteal – absorbs fats/lipids

Part \( X \) is the lacteal, a small lymphatic vessel at the centre of the villus.
Its function is to absorb digested fats and lipids from the small intestine.

Question 11

(a) An aqueous solution of dilute hydrochloric acid is acidic.
(i) Suggest the pH of an aqueous solution of dilute hydrochloric acid.
(ii) State the definition of an acid in terms of proton transfer.
(b) A student investigates the rate of reaction between magnesium and dilute hydrochloric acid.
Magnesium chloride and a gas are made.
(i) Construct the word equation for the reaction.
………………………. + ………………………. → ………………………. + ………………………. 
(ii) State how the rate of reaction can be increased. Tick (✓) one box.
(iii) The student measures the volume of hydrogen gas made until all the magnesium has reacted.
Fig. 11.1 shows a graph of the results.
Sketch, on Fig. 11.1, the results that the student would obtain by repeating the experiment under the same conditions but using more concentrated hydrochloric acid.
(iv) Explain why the rate of reaction can be increased by increasing the temperature of the dilute hydrochloric acid. Use ideas about particles in your answer.
(c) The student adds \( 0.1 \, \text{g} \) of magnesium to \( 40 \, \text{cm}^3 \) of \( 0.5 \, \text{mol/dm}^3 \) hydrochloric acid.
\( \text{Mg} + 2\text{HCl} \rightarrow \text{MgCl}_2 + \text{H}_2 \)
Show, by calculation, that the magnesium is the limiting reactant.
[\(A_r\) : Mg, 24]

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

• Topic C7.1 — Characteristic properties of acids and bases (Part (a))
• Topic C6.2 — Rate of reaction (Part (b))
• Topic C3.3 — The mole and the Avogadro constant (Part (c) — limiting reactant)

▶️ Answer/Explanation

(a)(i) Any value between 0 and 6.9

Dilute hydrochloric acid is acidic, so its pH must be below 7 (any value from 0 up to 6.9 is accepted).

(a)(ii) Proton donor

An acid is defined as a substance that donates protons (\( \text{H}^+ \) ions) in a reaction.

(b)(i) magnesium + hydrochloric acid → magnesium chloride + hydrogen

This word equation matches the given symbol equation \( \text{Mg} + 2\text{HCl} \rightarrow \text{MgCl}_2 + \text{H}_2 \).

(b)(ii) Using powdered magnesium instead of magnesium ribbon

Powdered magnesium has a much greater surface area than ribbon, increasing the frequency of collisions between reacting particles and speeding up the reaction.

(b)(iii) Steeper line from the origin, levelling off at the same volume

A more concentrated acid reacts faster, so the graph should start at the origin but rise more steeply than the original curve.
Since the same mass of magnesium is used (the limiting reactant), the curve should level off at the same final volume of hydrogen gas.

(b)(iv) Particles have more kinetic energy, collide more often and more successfully

At a higher temperature, particles have greater kinetic energy and move faster.
This increases the frequency of collisions between particles.
More particles also have energy greater than or equal to the activation energy, so a greater proportion of collisions are successful, increasing the rate of reaction.

(c) Magnesium is the limiting reactant

Moles of \( \text{HCl} = 0.5 \times \dfrac{40}{1000} = 0.02 \, \text{mol} \).
Moles of \( \text{Mg} = \dfrac{0.1}{24} = 0.00417 \, \text{mol} \).
From the equation, 1 mol Mg needs 2 mol HCl, so \( 0.00417 \, \text{mol} \) Mg needs only \( 0.00833 \, \text{mol} \) HCl — since \( 0.02 \, \text{mol} \) HCl is available (more than enough), magnesium is used up first and is the limiting reactant.

Question 12

A student investigates light dependent resistors (LDRs).
Fig. 12.1 shows the circuit the student uses.
(a) The ammeter in Fig. 12.1 reads \( 0.24 \, \text{A} \).
(i) Calculate the amount of charge flowing through the LDR each minute.
State the unit for your answer.
(ii) The student shines a bright desk lamp on the LDR.
State and explain the effect this has on the ammeter reading.
(iii) The desk lamp emits light with wavelengths ranging from \( 3.8 \times 10^{-7} \, \text{m} \) to \( 7.5 \times 10^{-7} \, \text{m} \).
Calculate the minimum frequency of light emitted by the desk lamp.
(b) The student calculates the resistance of the LDR using the current reading from the ammeter.
State what other measurement is required for this calculation.
(c) The variable power supply used by the student uses a transformer to reduce the output.
The current in the primary coil of the transformer is \( 10.5 \, \text{A} \) and the current in the secondary coil is \( 4.2 \, \text{A} \).
The primary coil contains 360 turns and the transformer can be assumed to be 100% efficient.
Calculate the number of turns in the secondary coil.

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

• Topic P4.2.2 — Electric current (Part (a)(i))
• Topic P4.2.4 — Resistance (Parts (a)(ii), (b))
• Topic P3.1 — General properties of waves (Part (a)(iii))
• Topic P4.5.6 — The transformer (Part (c))

▶️ Answer/Explanation

(a)(i) \( 14.4 \, \text{C} \)

Charge is calculated using \( Q = It \).
\( Q = 0.24 \times 60 = 14.4 \, \text{coulombs (C)} \), since one minute \( = 60 \, \text{s} \).

(a)(ii) Reading increases

Shining bright light on the LDR decreases its resistance.
With lower resistance in the circuit, the current — and therefore the ammeter reading — increases.

(a)(iii) \( 4.0 \times 10^{14} \, \text{Hz} \)

Using \( v = f\lambda \), so \( f = \dfrac{v}{\lambda} \), with \( v = 3 \times 10^8 \, \text{m/s} \) (speed of light).
Minimum frequency occurs at the longest wavelength: \( f = \dfrac{3 \times 10^8}{7.5 \times 10^{-7}} = 4.0 \times 10^{14} \, \text{Hz} \).

(b) Potential difference (p.d.) across the LDR

Resistance is calculated using \( R = \dfrac{V}{I} \), so the potential difference across the LDR must also be measured (using a voltmeter).

(c) 900 turns

For a 100% efficient transformer, \( I_p N_p = I_s N_s \).
\( N_s = \dfrac{I_p N_p}{I_s} = \dfrac{10.5 \times 360}{4.2} = 900 \) turns.

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