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Chapter 34: Q. 27 (page 991)

Find the focal length of the glass lens in FIGUREEX34.27.

Short Answer

Expert verified

The focal length of glass lens is-40cm.

Step by step solution

01

Figure for focal length of lens

Figure is,

For surfaces convex toward the object, the radius of curvatureRis positive.

For surfaces that are concave toward the object, the radius of curvature Ris negative.

02

Calculation of focal length of lens

Substitute numerical values:If the object is on the left, the lens's initial surface is planar, which we can think of as a part of a sphere with ,R=-40cm

Withlocalid="1649147855071" R=40cm, the second surface serves as a concave surface.

The focal length of the lens is ,

1f=(n-1)1R1-1R2

Substitute the following numerical values:

1f=(1.50-1)1-40cm-1+40cm

1f=-140cmR=-40cm

f=-40cm

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