Chapter 25, Problem 52PE

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

Chapter
Section

### College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

# Combine thin lens equations to show that the magnification for a mm lens is determined by its focal length and the object distance and is given by m = f / ( f − d o ) .

To determine

To prove:

The Magnification of thin lens is determined by its focal length and object distance.

Explanation

Formula used:

Formula for focal length of thin lens is,

â€ƒâ€ƒ1f=1d0+1di

Here,

• f is the focal length.
• d0 is the object distance.
• di is the image distance.

Formula for magnification is,

â€ƒâ€ƒm=âˆ’dido

Here,

• m is the magnification.

Rearranging the formula we get,

â€ƒâ€ƒdi=âˆ’mdo

Calculation:

Using the above two equations,

â€ƒâ€ƒ1âˆ’mdo+1do

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