The figure below shows an object $AB$ placed on the principal axis of a lens $L$. The two foci of the lens are $F_1$ and $F_2$. The image formed by the lens is erect,virtual and diminished. Copy the diagram and answer the following questions: $(i)$ Draw the outline of the lens $(L)$ used. $(ii)$ Draw a ray from $B$ passing through $O$. Show the ray after refraction by the lens. $(iii)$ Draw a ray of light starting from $B$,which after passing parallel to the principal axis,is incident on the lens and emerges after refraction from it. $(iv)$ Locate the final image formed.

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(N/A) The lens used is a concave lens because it forms an erect,virtual,and diminished image for an object placed anywhere in front of it.
$(i)$ The outline of the concave lens is drawn at the position $L$.
(ii) $A$ ray from $B$ passing through the optical center $O$ goes undeviated.
(iii) $A$ ray from $B$ parallel to the principal axis,after refraction,appears to diverge from the focus $F_2$.
(iv) The final image $A'B'$ is formed between the optical center $O$ and the focus $F_2$ on the same side as the object.

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