AQA GCSE Physics Physics Paper 2 (Higher), November 2021: Question 4

10 marks · Standard Demand difficulty · Short Answer

Describe concave and convex lens images, complete a convex lens ray diagram, analyze image distance graphs and calculate measurement uncertainty, and explain why a blue object appears black under red light.

Practise this question

Question

A series of five physics questions numbered 04.1 to 04.5 about lenses and light. Question 04.1 features Figure 6 showing a ray diagram for a concave lens and asks for two other words to describe the upright image. Question 04.2 shows Figure 7 with an object and a convex lens grid, asking to complete the ray diagram. Question 04.3 provides Figure 8, a line graph showing the distance of the image from the lens versus the distance between the object and the lens, and asks to describe the trend. Question 04.4 gives four repeated measurements of image distance and asks to calculate the uncertainty. Question 04.5 shows Figure 9 depicting a spotlight passing through a red filter onto a blue object, and asks to explain why the object appears black.
Question text

04 Lenses are used to form images of objects.

04.1 Figure 6 shows how a concave lens forms an image of an object.

Figure 6

The image of the object in Figure 6 is upright.

Give two other words that describe the image.

[1 mark]

04.2 Figure 7 shows an object near to a convex lens.

Complete the ray diagram to show how the image is formed.

Use an arrow to represent the image.

[3 marks]

Figure 7

The position of an image formed by a convex lens varies with the distance between

the object and the lens.

Figure 8 shows the results of a student’s investigation using a convex lens.

Figure 8

04.3 Describe how the distance of the image from the lens decreases as the distance

between the object and the lens increases.

[1 mark]

04.4 The student measured the distance from the image to the lens four times.

The distance between the object and the lens did not change.

The 4 measurements from the image to the lens were:

1.9 cm 1.7 cm 2.2 cm 1.4 cm

Calculate the uncertainty in the measurements.

[2 marks]

Uncertainty = ± cm

04.5 Figure 9 shows a spotlight containing a convex lens.

A red filter is placed in front of the spotlight.

The spotlight is directed at a blue object.

Figure 9

Explain why the blue object appears black.

[3 marks]

Mark scheme

Show the mark scheme A mark scheme table containing answers and mark allocations for questions 04.1 through 04.5. Question 04.1 accepts 'virtual' and 'diminished' (1 mark). Question 04.2 awards marks for correct ray lines and image position (3 marks). Question 04.3 accepts descriptions of the non-linear decrease (1 mark). Question 04.4 requires calculating the range divided by 2 or half the range from the mean, yielding an uncertainty of plus or minus 0.4 cm (2 marks). Question 04.5 explains that red light is transmitted by the filter, absorbed by the blue object, reflecting no light so it appears black (3 marks).

Question 4

AO/

Question Answers Extra information Mark

Spec. Ref

04.1 both answers correct answers may be in either order 1 AO3

4.6.2.5

virtual

diminished allow a description of diminished

(eg smaller / reduced)

04.2 any two correct lines drawn allow construction lines that are 2 AO2

from the top of the object, not dashed 4.6.2.5

passing through the lens and allow 1 mark for two correct

traced backwards lines drawn from the top of the

object, passing through the lens

BUT not traced backwards

image drawn in the correct mark only scores if first two

position and with the correct marks score

orientation

04.3 (increasing the object distance) do not accept inversely 1 AO3

decreases the image distance proportional 4.6.2.5

more rapidly at small (object)

distances / more gradually at

larger (object) distances

04.4 (2.2 – 1.4) 1 AO3

2 4.6.2.5

uncertainty = (±) 0.4 (cm) 1

allow

1.9 + 1.7 + 2.2+ 1.4 = 1.8 (1)

(2.2 – 1.8 = ) (±) 0.4 (cm) (1)

04.5 only red is transmitted by the 1 AO1

filter 4.6.2.6

red is absorbed by the (blue) 1

object

(so) no light is reflected by the 1

(blue) object

Total 10

How to answer it

Study Guide: Lenses and Wave Properties

What this question tests

This question assesses your understanding of ray diagrams for concave and convex lenses, describing relationships from graphs, calculating experimental uncertainty, and applying knowledge of colour filters and light absorption/reflection.

Part 04.1: Describing Lens Images

Spec reference: 4.6.2.5

✅ Correct Answer

  • Virtual
  • Diminished (or smaller / reduced)

💡 Key Knowledge

  • A concave lens (diverging lens) always produces an image that is upright, virtual (formed where diverging rays appear to come from), and diminished (smaller than the object).

🧠 Exam Technique

Both words must be correct to secure the single mark. Make sure you learn the standard trio of descriptors for lens images: magnified/diminished, real/virtual, and upright/inverted.

Mark: 1 mark

Part 04.2: Convex Lens Ray Diagram

Spec reference: 4.6.2.5

✅ Correct Answer

  • Two correct construction lines drawn from the top of the object passing through the lens and traced backwards to form the image.
  • Image drawn upright, virtual, and larger (magnified) at the correct position behind the lens.

💡 Key Knowledge

  • When an object is placed closer to a convex lens than its focal length (F), it acts as a magnifying glass.
  • Rays diverge through the lens and must be extended backward using dashed lines to locate the virtual image.

🧠 Exam Technique

Use a sharp pencil and a ruler! Draw at least two standard rays: one parallel to the axis then refracting through the far focal point, and one passing straight through the optical centre. Trace refracted rays backwards with dashed lines.

❌ Common Errors

Students often forget to trace the diverging rays backwards with dashed lines on the left side of the lens, losing marks for the image location.

Marks: 3 marks (2 for correct lines, 1 for correct image position/orientation)

Part 04.3: Interpreting Graph Trends

Spec reference: 4.6.2.5

✅ Correct Answer

As object distance increases, image distance decreases more rapidly at small distances and more gradually at larger distances.

🧠 Exam Technique

Look closely at the gradient (steepness) of the curve. Examiners explicitly note: do not accept "inversely proportional"—you must describe the changing rate of decrease shown by the curve shape.

Mark: 1 mark

Part 04.4: Calculating Uncertainty

Spec reference: 4.6.2.5

📐 Step-by-Step Calculation

  1. Find mean (if not using range directly):
    Mean = (1.9 + 1.7 + 2.2 + 1.4) / 4 = 1.8 cm
  2. Calculate uncertainty using half the range:
    Uncertainty = (Maximum value − Minimum value) / 2
    Uncertainty = (2.2 − 1.4) / 2 = 0.4 cm

✅ Final Answer

Uncertainty = ± 0.4 cm

❌ Common Calculation Traps

Forgetting to divide the range by 2 is the most common error. Uncertainty is defined as plus-or-minus half the range of repeated measurements.

Marks: 2 marks

Part 04.5: Colour Filters and Reflection

Spec reference: 4.6.2.6

✅ Correct Answer

  • Only red light is transmitted by the red filter.
  • Red light is absorbed by the blue object.
  • Therefore, no light is reflected by the blue object into the observer's eye, making it appear black.

💡 Key Knowledge

  • Filters work by absorbing certain wavelengths and transmitting others. A red filter only transmits red light.
  • Colored objects absorb specific wavelengths of light corresponding to their complementary colors and reflect their own color. A blue object absorbs red and green light, reflecting blue.

🧠 Exam Technique

Structure your answer sequentially: 1) What light passes the filter? 2) What happens to that light when it hits the object? 3) What reaches the eye?

Marks: 3 marks

Topics

Physics · P6: Waves

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 2 (Higher), November 2021. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.