derive lens formula for convex lens when virtual image is formed.
derive lens formula for concave lens.
Asked by Shomyajit Misra Misra | 24th Apr, 2014, 07:09: PM
Please post different questions as separate queries.
Derivation of Lens Formula for concave lens:
Let AB represent an object placed at right angles to the principal axis at a distance greater than the focal length f of the convex lens. The image A1B1 is formed between O and F1 on the same side as the object is kept and the image is erect and virtual.

OF1 = Focal length = f
OA = Object distance = u
OA1 = Image distance = v





But from the ray diagram we see that OC = AB


From equation (1) and equation (2), we get



Dividing throughout by uvf


Derivation of Lens Formula for concave lens:
Let AB represent an object placed at right angles to the principal axis at a distance greater than the focal length f of the convex lens. The image A1B1 is formed between O and F1 on the same side as the object is kept and the image is erect and virtual.
OF1 = Focal length = f
OA = Object distance = u
OA1 = Image distance = v
But from the ray diagram we see that OC = AB
From equation (1) and equation (2), we get
Dividing throughout by uvf
Answered by | 25th Apr, 2014, 09:23: AM
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