derive the lens formula.

Asked by haritsourabhharit | 7th Oct, 2010, 11:45: AM

Expert Answer:

Dear student
 
Dear Student
Following is the detailed derivation of lens formula:
 
 

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 beyond 2F2 and is real and inverted.

OA = Object distance = u

OA1 = Image distance = v

OF2 = Focal length = f

OAB and OA1B1 are similar

But we know that OC = AB

the above equation can be written as

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

Dividing equation (3) throughout by uvf

We hope that clarifies your query.

Regards

Team

Topperlearning

Answered by  | 8th Oct, 2010, 06:20: AM

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