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CIE iGCSE Co-Ordinated Science P1.6.4 Power Exam Style Questions Paper 4

Question

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

Fig. 6.1 shows a boiler that uses combustion of natural gas to heat water.
(a) Natural gas is a non-renewable energy source.
Describe one environmental impact of using natural gas in this way.
(b) The boiler has an efficiency of 90%.
The combustion of natural gas provides an input energy of 1.50 kJ.
Calculate the useful energy output from the boiler.
(c) Thermal energy is transferred through the water in the boiler by convection.
Describe the process of convection in terms of density changes.
(d) Light from the gas flame has a wavelength of \(4.6 \times 10^{-7}\ \text{m}\).
(i) Calculate the frequency of the light from the flame.
(ii) The light from the flame is a transverse wave. Complete the sentences to describe the differences between a transverse wave and a longitudinal wave.
Transverse waves are produced by vibrations acting ………………………………………………. to the direction of energy transfer.
Longitudinal waves are produced by vibrations acting ………………………………………………. to the direction of energy transfer.
An example of a longitudinal wave is a ………………………………………………. wave.

Most-appropriate topic codes (Cambridge IGCSE Co-ordinated Sciences 0654, 2025–2027 syllabus):

• Topic C10.2 — Air quality and climate (Part (a))
• Topic P1.6.4 — Power (Part (b))
• Topic P2.3.2 — Convection (Part (c))
• Topic P3.1 — General properties of waves (Part (d))

▶️ Answer/Explanation

(a) Contributes to global warming / enhanced greenhouse effect

Burning natural gas releases carbon dioxide.
This is a greenhouse gas that contributes to global warming/climate change.

(b) useful energy output = 1.35 kJ

\( \text{Output} = \text{efficiency} \times \text{input} \)
\( = 0.90 \times 1.50 = 1.35\ \text{kJ} \)

(c) Heated water becomes less dense and rises

Water near the flame is heated and expands, becoming less dense.
This less dense (hotter) water rises, while cooler, denser water sinks to take its place, setting up a convection current.

(d)(i) frequency \( \approx 6.5 \times 10^{14}\ \text{Hz}\)

Speed of light, \(c = 3 \times 10^8\ \text{m/s}\)
\( f = \dfrac{c}{\lambda} = \dfrac{3\times10^{8}}{4.6\times10^{-7}} \approx 6.5\times10^{14}\ \text{Hz} \)

(d)(ii) Transverse: perpendicular; Longitudinal: parallel; example: sound

In transverse waves, vibrations act perpendicular to the direction of energy transfer.
In longitudinal waves, vibrations act parallel to the direction of energy transfer.
Sound is a common example of a longitudinal wave.

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