A diverging lens with focal length f1 = −20 cm is placed 50cm to the left of a converging lens with f2 = 10 cm. If a 5 cm tall object is placed 20 cm to the left of the diverging lens then answer the following. a) What is position of the final image created by the two lens system with respect to the converging lens? Draw the ray tracing diagram in the figure above and be sure to include at least two special rays for each lens. b) What is the total magnification? c) What is the total height and orientation of the final image? Is the image real or virtual? Why?

Glencoe Physics: Principles and Problems, Student Edition
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Chapter18: Refraction And Lenses
Section: Chapter Questions
Problem 57A
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A diverging lens with focal length f1 = −20 cm is placed 50cm to the left of a converging
lens with f2 = 10 cm. If a 5 cm tall object is placed 20 cm to the left of the diverging lens then answer
the following.

a) What is position of the final image created by the two lens system with respect to the
converging lens? Draw the ray tracing diagram in the figure above and be sure to include at least two
special rays for each lens.

b) What is the total magnification?

c) What is the total height and orientation of the final image? Is the image real or virtual? Why? 

f₁
Figure 1: Two lens system
Transcribed Image Text:f₁ Figure 1: Two lens system
a (°℃−¹)
Material
Gold
Copper
Aluminum
1.65×10-5
2.3x10-5
Stainless Steel 1.75×10-5
Water
Ethyl Alcohol
Ice
1 atm = 1.01×105 Pa
NA = 6.022×102³ particles/mol
R = 8.3145 J/(mol K)
kB = 1.38×10-23 J/K
o = 5.67 × 10-8W/(m²K4)
c (J/(kg K)) C (J/(mol K)) | Lf (J/kg) Lv (J/kg) density (kg/m³)
129
25
19,300
8,960
2,700
7,500
4190
75
1,000
3.33×105 22.6×105
1.09×105 8.79×105
2400
110
790
2090
37.6
917
Transcribed Image Text:a (°℃−¹) Material Gold Copper Aluminum 1.65×10-5 2.3x10-5 Stainless Steel 1.75×10-5 Water Ethyl Alcohol Ice 1 atm = 1.01×105 Pa NA = 6.022×102³ particles/mol R = 8.3145 J/(mol K) kB = 1.38×10-23 J/K o = 5.67 × 10-8W/(m²K4) c (J/(kg K)) C (J/(mol K)) | Lf (J/kg) Lv (J/kg) density (kg/m³) 129 25 19,300 8,960 2,700 7,500 4190 75 1,000 3.33×105 22.6×105 1.09×105 8.79×105 2400 110 790 2090 37.6 917
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