A concave lens forms a virtual image 0.8 times the size of the object. The distance between object and image is 5.3 cm: Find the focal length of the lens. Write your answer in units of cm.
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Answer:
Concave lens forms the virtual image of a real object. So, let
u=−4x and v=−x
Then, 3x=10 cm
or x=
3
10
cm
∴u=−
3
40
cm and v=−
3
10
cm
Substituting in
f
1
=
10
−3
+
40
3
or f=−
9
40
or f=−4.4 cm.
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