Answer to Question #261038 in Optics for maheshi

Question #261038

An object is placed 25 cm in front of the convex lens whose focal length is 10 cm. (a) Find the image distance and where it is located Now a concave lens is placed 6 cm behind the convex lens and a new image is formed 20 cm behind the convex lens. Draw a rough diagram and indicate the length measurements (b) Calculate the focal length of the concave lens (hint: the image formed by the convex lens will be the object to the concave lens)


1
Expert's answer
2021-11-07T17:07:20-0500

a)

d=fFfF=16.7 cm,d=\frac{fF}{f-F}=16.7~cm, behind the lens,

b)

1dl+1F=1dl,\frac 1{d-l}+\frac 1{F'}=\frac 1{d'-l},

F=(dl)(dl)dd=44.8 cm.F'=\frac{(d'-l)(d-l)}{d-d'}=44.8~cm .


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