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Date	November 2020	Marks available	2	Reference code	20N.3.SL.TZ0.11
Level	Standard level	Paper	Paper 3	Time zone	0 - no time zone
Command term	Draw	Question number	11	Adapted from	N/A

Question

A beam of monochromatic light from infinity is incident on a converging lens A. The diagram shows three wavefronts of the light and the focal point $f$ of the lens.

Draw on the diagram the three wavefronts after they have passed through the lens.

[2]

a.

Lens A has a focal length of $4.00 cm$ . An object is placed $4.50 cm$ to the left of A. Show by calculation that a screen should be placed about $0.4 m$ from A to display a focused image.

[2]

b.

The screen is removed and the image is used as the object for a second diverging lens B, to form a final image. Lens B has a focal length of $2.00 cm$ and the final real image is $8.00 cm$ from the lens. Calculate the distance between lens A and lens B.

[3]

c.

Calculate the total magnification of the object by the lens combination.

[2]

d.

Markscheme

wavefront separation identical and equal to separation before the lens ✓

wavefronts converging, approximately centered on $f$ ✓

By eye.

Dotted construction lines are not required, allow wavefronts to extend beyond or be inside the dotted lines here.

Allow [1 max] if only two wavefronts drawn.

a.

$\frac{1}{v} = \frac{1}{4.00} - \frac{1}{4.50}$ ✓

$v = 36.0 « cm »$ ✓

b.

$A : \frac{1}{- 2.0} = \frac{1}{8} + \frac{1}{u}$ ✓

$u = - 1.6 « cm »$ ✓

distance necessary = $« 36.0 - 1.6 = » 34.4 « cm »$ ✓

Allow [2 max] for ECF for no negative in MP1. Gives $u = 2.7$ and distance of $38.7 « cm »$

Allow ECF from (b) in MP3.EG use of $0.4 m / 40 c m$ .

c.

« $m = - \frac{i}{o} = \frac{- 36}{4.5}$ for A or $\frac{- 8}{- 1.6}$ for B»

$m_{A} = « - » 8$ OR $m_{B} = « + » 5$ ✓

total magnification $= « - » 40$ ✓

Allow [2] marks for a bald correct answer

Allow ECF from (b) and (c).

Eg if $u = 2.7 c m$ in (c) then $m_{B} = 3$ and total $m = 24$

d.

Examiners report

[N/A]

a.

[N/A]

b.

[N/A]

c.

[N/A]

d.

Syllabus sections

Option C: Imaging » Option C: Imaging (Core topics) » C.1 – Introduction to imaging

Show 51 related questions

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17N.3.SL.TZ0.9c.i: On the diagram, draw two rays to locate the point Q′ on the image that corresponds to point Q...
17N.3.SL.TZ0.9c.iv: The screen is now correctly positioned to form a focused image of point R. However, the top...
17N.3.SL.TZ0.9b.ii: State three characteristics of the image.
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Identify, with the letter X, the position of the focus of the primary mirror.
18M.3.SL.TZ2.8b:
The diagram shows an incomplete ray diagram which consists of a red ray of light and a blue ray of light which are incident on a converging glass lens. In this glass lens the refractive index for blue light is greater than the refractive index for red light.

Using the diagram, outline the phenomenon of chromatic aberration.
17N.3.SL.TZ0.9a.i: Sketch a ray diagram to show how the magnifying glass produces an upright image.
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16N.3.SL.TZ0.12d: The lens is moved to a second position where the image on the screen is again focused. The...
18M.3.SL.TZ2.8a.i:
determine the focal length of the lens.
18M.3.SL.TZ1.8a.iii:
Light passing through this lens is subject to chromatic aberration. Discuss the effect that chromatic aberration has on the image formed on the screen.
18M.3.SL.TZ2.8a.ii:
calculate the linear magnification.
16N.3.SL.TZ0.11a: A ray of light is incident on a converging mirror. On the diagram, draw the reflection of the...
17M.3.SL.TZ2.8a.i:
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18N.3.SL.TZ0.8b.ii:
Hence state how the defect of the converging lens in (a) may be corrected.
20N.3.SL.TZ0.11c:
The screen is removed and the image is used as the object for a second diverging lens B, to form a final image. Lens B has a focal length of $2.00 cm$ and the final real image is $8.00 cm$ from the lens. Calculate the distance between lens A and lens B.
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18N.3.SL.TZ0.9b.i:
Calculate the distance between the lenses.
17M.3.SL.TZ1.7a.iii:
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19M.3.SL.TZ2.11aii:
Determine, by calculation, the linear magnification produced in the above diagram.
17M.3.SL.TZ1.7a.ii:
Show that the image of the object formed by L₁ is 12 cm to the right of L₁.
17M.3.SL.TZ1.7a.iv:
On the diagram draw rays to locate the focal point of L₂. Label this point F.
17M.3.SL.TZ2.8b:
Explain your sketch in (a)(i).
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16N.3.SL.TZ0.12b:
Determine the distance between the lamp and the lens.
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18N.3.SL.TZ0.8b.i:
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17N.3.SL.TZ0.9b.i:
Determine the position of the image.
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20N.3.SL.TZ0.11b:
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Option C: Imaging » Option C: Imaging (Core topics)

Option C: Imaging