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Chapter 34: Q. 28 (page 991)

Find the focal length of the meniscus polystyrene plastic lens in FIGURE EX34.28.

Short Answer

Expert verified

The focal length of meniscus polystyrene plastic lens is203cm.

Step by step solution

01

Formula for focal length

The lens-makers' equation gives the inverse of the focal length of a narrow lens surrounded by air.

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

For surfaces convex toward the object, the radius of curvaturelocalid="1649148884725" Ris positive.

For surfaces that are concave toward the object, the radius of curvature localid="1649148894449" Ris negative.

02

Calculation of focal length of lens

Assuming the object is on the left, the lens's initial surface is planar, and we can think of it as a part of a sphere withR=-40cm.

With R=-30cm, 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=(1.59-1)1-40cm-130cm

1f=5912000cm

f=1200059cm=203cm

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