   Chapter 25, Problem 49PE

Chapter
Section
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=10cm

For object distance , u=7.5cm magnification is m=3 .

Formula used:

. The expression of thin lens formula is:

1v1u=1f …………………….(1)

Where,

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

Calculation:

Substituting 10cm for f and 8.5cm for u in equation (1) we get:

1v18.5=1101v=11018

(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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