$(a)$ $A$ thin converging lens forms a:
$(i)$ Real magnified image.
$(ii)$ Virtual magnified image of an object placed in front of it.
Write the positions of the objects in each case.
$(b)$ Draw labelled ray diagrams to show the image formation in each case.
$(c)$ How will the following be affected on cutting this lens into two halves along the principal axis?
$(i)$ Focal length,
$(ii)$ Intensity of the image formed by half lens.

(N/A) $(i)$ The object is placed between $F_1$ and $2F_1$ of the lens.
$(ii)$ The object is placed between the optical center $O$ and the principal focus $F_1$.
$(b)$ Refer to the provided ray diagrams.
$(c)$ $(i)$ The focal length of the lens remains unchanged because the curvature and refractive index of the lens material remain the same.
$(ii)$ The intensity of the image decreases because the aperture of the lens is reduced,allowing less light to pass through the lens.