Chapter 25, Problem 49PE

### 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

# In Example 25.7, the magnification of a book held 7.50 cm from a 10.0 cm focal length lens was found to be 3.00. (a) Find the magnification for the book when it is held 8.50 cm from the magnifier. (b) Do the same for when it is held 9.50 cm from the magnifier. (c) Comment on the trend in m as the object distance increases as in these two calculations.

(a)

To determine

The magnification for the book that is held 8.5cm away from the magnifying lens.

Explanation

Given:

Focal length of the lens is f=10â€‰cm

For object distance , u=âˆ’7.5â€‰cm magnification is m=3 .

Formula used:

. The expression of thin lens formula is:

â€ƒâ€ƒ1vâˆ’1u=1f â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦.(1)

Where,

• v is the image distance.
• u is the object distance.
• f is the focal length

Calculation:

Substituting 10â€‰cm for f and âˆ’8.5â€‰cm for u in equation (1) we get:

â€ƒâ€ƒ1vâˆ’1âˆ’8.5=1101v=110âˆ’18

(b)

To determine

The magnification if the object is placed 9.5cm away from the lens.

(c)

To determine

The trend of magnification as object distance increases in this problem.

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