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Date May 2018 Marks available 3 Reference code 18M.3.SL.TZ1.8
Level Standard level Paper Paper 3 Time zone Time zone 1
Command term Calculate Question number 8 Adapted from N/A

Question

A converging (convex) lens forms an image of an object on a screen.

Identify whether the image is real or virtual.

[1]
a.i.

The lens is 18 cm from the screen and the image is 0.40 times smaller than the object. Calculate the power of the lens, in cm–1. 

[3]
a.ii.

Light passing through this lens is subject to chromatic aberration. Discuss the effect that chromatic aberration has on the image formed on the screen.

[3]
a.iii.

A system consisting of a converging lens of focal length F1 (lens 1) and a diverging lens (lens 2) are used to obtain the image of an object as shown on the scaled diagram. The focal length of lens 1 (F1) is 30 cm.

Determine, using the ray diagram, the focal length of the diverging lens.

[3]
b.

Markscheme

image is real «as projected on a screen»

[1 mark]

a.i.

«\( - \frac{{18}}{u} =  - 0.40\)»

u = 45

\(\frac{1}{{45}} + \frac{1}{{18}} = \frac{1}{f}\)

OR

f = 13 «cm»

P = \(\frac{1}{f}\) = «\(\frac{1}{{13}}\)» = 0.078 «cm–1»

 

Accept answer 7.7«D».

[3 marks]

a.ii.

refractive index depends on wavelength

light of different wavelengths have different focal points / refract differently

there will be coloured fringes around the image / image will be blurred

[3 marks]

a.iii.

any 2 correct rays to find image from lens 1

ray to locate F2

focal length = «»70 «cm»

M18/4/PHYSI/SP3/ENG/TZ1/08.b/M

 

Accept values in the range: 65 cm to 75 cm.

Accept correct MP3 from accepted range also if working is incorrect or unclear, award [1].

[3 marks]

b.

Examiners report

[N/A]
a.i.
[N/A]
a.ii.
[N/A]
a.iii.
[N/A]
b.

Syllabus sections

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