An object is placed on a metre scale at 8 cm mark was focused on a white screen placed at 92 cm mark, using a converging lens placed on the scale at 50 cm mark.
(i)Find the focal length of the converging lens.
(ii)Find the position of the image formed if the object is shifted towards the lens at a position of 29.0 cm.
(iii)State the nature of the image formed if the object is further shifted towards the lens.
(i) Given: object is placed at 8cm.
Real image is formed at 92 cm mark.
Therefore, object distance u=-42 cm
Applying the lens formula:



f=+21 cm
(ii) Focal length of lens f =+21 cm
Object distance u = -21 cm
Applying the lens formula:





v=infinity
(iii) If the object is further shifted towards the lens, the image formed will be virtual, erect and magnified.

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