   Chapter 25, Problem 48PE

Chapter
Section
Textbook Problem

What magnification will be produced by a lens of power −4.00 D (such as might be used to correct myopia) if an object is held 25.0 cm away?

To determine

To find the magnification of the lens produced by a lens of power 4D if an object is held 25cm away.

Explanation

Given info:

The power of the lens is P=4D and object distance is u=25cm

Formula used:

The expression to find power of the lens is given by:

P=1f     ...... (1)

Where,

• P is power of the lens.
• f is focal length of the lens.

The expression of thin lens formula is:

1v1u=1f     ...... (2)

Where,

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

Calculation:

Substituting P=4D in equation 1 we get:

4=1ff=14f=0.25mf=25cm

Hence the focal length of the lens is 25cm

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