10 302017 Inverted Chapter 21, 22, 23 Light-Reflection and Refract (d) Find the

Question

10 302017 Inverted Chapter 21, 22, 23 Light-Reflection and Refract (d) Find the magnification for the object at distance 33.6 cm Find the magnification for the object at distance 16.8 cm Find the magnification for the object at distance 8.4 cm Need Help? Read it 20.-/3 pointsSerCP10 23.P.041.WI Two converging lenses, each of focal length 14.9 cm, are placed 40.1 cm apart, and an object is placed 30.0 cm in front of the first lens. Where is the final image formed? The image is located ]cm[- Location- What is the magnification of the system? M= Watch 3 6cm >

Explanation / Answer

20

Given

focal length of the two converging lenses are f = 14.9 cm ,

separation of the lens is 40.1 cm

object distance s = 30 cm from the first lens

the image distance of the first lens is  

from the lens equation  

1/s + 1/s' = 1/f

1/s' = 1/f - 1/s

1/s' = 1/14.9 - 1/30

s' = 29.60 cm from the first lens and which is at (40.1-29.60 = 10.5 cm infront of the second lens)

now the lens equation for lens 2 is  

1/s2' = 1/f - 1/s2  

1/s2' = 1/14.9 - 1/10.5

s2' = -35.55 cm infront of the lens 2

the magnification is M = -s2'/s2 = - (-35.55/10.5) = 3.3857

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