   Chapter 25, Problem 47PE

Chapter
Section
Textbook Problem

(a) What is the focal length of a magnifying glass that produces a magnification of 3.00 when held 5.00 cm from an object such as a rare coin? (b) Calculate the power of the magnifier in diopters. (c) Discuss how this power compares to those for store-bought reading glasses (typically 1.0 to 4.0 D).Is the magnifier's power greater, and should it be?

To determine

(a)

To find the focal length of the magnifying glass that produces a magnification of 3 when held 5cm away from an object.

Explanation

Given:

Object distance, u=5cm and magnification m=3.

Formula used:

The formula for magnification is given by:

m=vu     ...... (1)

Where,

• m is magnification.
• v is image distance.
• u is object distance.

Calculation:

Substitute 5cm for u and 3 for m in equation 1 we get:

3=v5v=15cm

The expression of thin lens formula is:

1v1u=1f     ...... (2)

Where,

• v is the image distance
To determine

(b)

To find the power of the magnifying lens.

To determine

(c)

To discuss how this power compares to those store-bought reading glasses of power 1.0D to 4D.

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