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Question 18M.3.SL.TZ1.8

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Date May 2018 Marks available [Maximum mark: 10] Reference code 18M.3.SL.TZ1.8
Level SL Paper 3 Time zone TZ1
Command term Calculate, Determine, Discuss, Identify Question number 8 Adapted from N/A
8.
[Maximum mark: 10]
18M.3.SL.TZ1.8

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

(a.i)

Identify whether the image is real or virtual.

[1]

Markscheme

image is real «as projected on a screen»

[1 mark]

(a.ii)

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]

Markscheme

« 18 u = 0.40 »

u = 45

1 45 + 1 18 = 1 f

OR

f = 13 «cm»

P 1 f « 1 13 » = 0.078 «cm–1»

 

Accept answer 7.7«D».

[3 marks]

(a.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.

[3]

Markscheme

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]

(b)

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]

Markscheme

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]