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CIE iGCSE Co-Ordinated Science P3.2.2 Refraction of light Exam Style Questions Paper 3

Question

(a) A scientist is studying a polar bear.
(i) State the minimum frequency audible to humans.
(ii) The scientist hears a loud sound of frequency 25 Hz. The sound has a wavelength of 14 m. Calculate the speed of this sound in air.
(iii) The polar bear jumps into a pool of water and makes water waves. Fig. 10.1 shows a wave.
Choose words from the list to identify Y and Z by completing the two sentences.
amplitude     frequency     pitch     trough     wave speed     wavelength
Y shows the              of the wave.
Z shows the              of the wave.
(iv) The scientist uses thermal imaging cameras to detect polar bears travelling on the ice. State the region of the electromagnetic spectrum detected in thermal imaging cameras.
(v) The scientist sees the polar bear under the water.
On Fig. 10.2, draw a ray of light to show how the light travels from the polar bear’s head to the scientist’s eye.
(b) In the Arctic, harmful ionising radiation reaches the Earth’s surface.
(i) State one danger to humans of ionising radiation.
(ii) α-particles, β-particles and γ-radiation are all types of ionising radiation. Place α-particles, β-particles and γ-radiation in order of their ionising effect, from most ionising to least ionising.

Topic codes:

• Topic P3.4 — Sound (Part (a)(i) & (a)(ii))
• Topic P3.1 — General properties of waves (Part (a)(iii))
• Topic P3.3 — Electromagnetic spectrum (Part (a)(iv))
• Topic P3.2.2 — Refraction of light (Part (a)(v))
• Topic P5.2.2 — The three types of nuclear emission (Part (b)(ii))
• Topic P5.2.5 — Applications and safety precautions (Part (b)(i))

▶️ Answer/Explanation

(a)(i) 20 Hz
The range of frequencies audible to humans is approximately 20 Hz to 20,000 Hz (20 kHz). The minimum frequency audible is 20 Hz.

(a)(ii) 350 m/s
Wave speed is calculated using the equation: \(v = f \times \lambda\)
\(v = 25 \times 14 = 350\) m/s

(a)(iii) Y shows the wavelength; Z shows the amplitude
Wavelength (Y) is the distance between two consecutive crests or troughs. Amplitude (Z) is the maximum displacement of a point on the wave from its equilibrium position.

(a)(iv) Infrared
Thermal imaging cameras detect infrared radiation emitted by objects based on their temperature. Infrared is part of the electromagnetic spectrum with wavelengths longer than visible light but shorter than microwaves.

(a)(v) Ray of light travelling from the polar bear’s head to the surface; correctly refracted ray from the surface into the eye
When light travels from water to air, it bends away from the normal because it is travelling from a denser medium (water) to a less dense medium (air). The diagram should show:

  • A straight ray from the polar bear’s head to the water surface
  • The ray bending away from the normal at the water-air boundary
  • The refracted ray continuing upwards to the scientist’s eye

(b)(i) Cell death / cancer / mutation
Ionising radiation has enough energy to remove electrons from atoms, damaging cells and DNA. This can lead to cell death, mutations, or the development of cancer. It can also cause radiation burns and damage to tissues.

(b)(ii) α → β → γ (most ionising to least ionising)
Alpha particles are the most ionising because they are large, heavy, and highly charged (+2). Beta particles are moderately ionising. Gamma radiation is the least ionising because it has no charge and is highly penetrating, passing through matter with less interaction.

Question

(a) A student uses the following equipment to determine the resistance of a lamp.
2 cells, ammeter, connecting wires, lamp, switch, voltmeter
(i) Draw the circuit diagram for the circuit that the student makes to determine the resistance of the lamp.
(ii) The student writes down the readings seen on the voltmeter and ammeter.
State the formula that the student uses to determine the resistance of the lamp.
(b) The lamp emits visible light. Visible light is part of the electromagnetic spectrum.
(i) Write visible light in the correct place in the incomplete electromagnetic spectrum in Fig. 11.1.
(ii) Name the region of the electromagnetic spectrum with waves of the highest frequency.
(c) Fig. 11.2 shows a ray of light of one frequency passing into a glass block.
(i) State the name of the line XY.
(ii) State the name of the effect shown in Fig. 11.2.
(iii) On Fig. 11.2, label the angle of incidence with the letter \(i\).
(iv) On Fig. 11.2, complete the diagram to show how the ray of light emerges into the air.

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

• Topic P4.3.1 — Circuit diagrams and circuit components (Part (a)(i))
• Topic P4.2.4 — Resistance (Part (a)(ii))
• Topic P3.3 — Electromagnetic spectrum (Part (b))
• Topic P3.2.2 — Refraction of light (Part (c))

▶️ Answer/Explanation

(a)(i) Circuit diagram should show: 2 cells in series with a switch, lamp, and ammeter connected in series; voltmeter connected in parallel with the lamp.
The ammeter must be in series to measure the current through the lamp. The voltmeter must be in parallel with the lamp to measure the potential difference across it.

(a)(ii) Resistance = voltage ÷ current \(R = \frac{V}{I}\)
Ohm’s law states that resistance is the ratio of potential difference to current. The student calculates resistance by dividing the voltmeter reading by the ammeter reading.

(b)(i) X-rays → visible light → microwaves
The electromagnetic spectrum in order of decreasing frequency (or increasing wavelength) is: gamma, X-rays, ultraviolet, visible light, infrared, microwaves, radio waves. Visible light sits between ultraviolet and infrared. In the given boxes, between X-rays and microwaves, visible light is correctly placed.

(b)(ii) Gamma rays
Gamma rays have the highest frequency and shortest wavelength in the electromagnetic spectrum. They are produced by nuclear reactions and radioactive decay.

(c)(i) Normal
The normal is an imaginary line drawn perpendicular to the surface at the point where the incident ray strikes the boundary between two media.

(c)(ii) Refraction
Refraction is the change in direction of a light ray when it passes from one medium to another due to a change in its speed.

(c)(iii) The angle of incidence \(i\) should be labelled between the incident ray and the normal line XY.
The angle of incidence is measured between the incident ray and the normal, not between the ray and the surface.

(c)(iv) The emergent ray should be drawn parallel to the incident ray, leaving the glass block into the air.
When light passes through a parallel-sided glass block, the emergent ray is parallel to the incident ray but laterally displaced. The ray bends towards the normal when entering the glass (from air to glass) and bends away from the normal when leaving (from glass to air).

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