Draw a ray diagram in each of the following cases to show the formation of the image, when the object is placed :(i) between optical centre and principal focus of a convex lens.(ii) anywhere in front of a concave lens.(iii) at 2F of a convex lens.State the signs and values of magnifications in the above mentioned cases (i) and (ii).


(i) A ray diagram showing the formation of the image when the object is placed between optical centre $(C)$ and principal focus $(F)$ of a convex lens.

When an object is placed between optical centre $(C)$ and principal focus $(F)$ of a convex lens, then the image formed is virtual, erect, magnified, and in front of the lens.


In this case, since the image formed is virtual and erect so the sign of magnification will be positive $(+)$. Also, the image formed is magnified therefore the values of magnifications will be greater than one.


(ii) A ray diagram showing the formation of the image when the object is placed anywhere in front of a concave lens.

When an object is placed anywhere in front of a concave lens, then the image formed is virtual, erect, diminished, and in front of the lens.


In this case, since the image formed is virtual and erect so the sign of magnification will be positive $(+)$. Also, the image formed is diminished therefore the values of magnifications will be less than one.


(iii) A ray diagram showing the formation of the image when the object is placed at $2F$ of a convex lens.

When an object is placed at $2F$ of a convex lens, then the image formed is real, inverted, the same size as the object and behind the lens.


Updated on: 10-Oct-2022

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