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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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Most popular questions from this chapter

A 1.0-cm-tall object is 75cmin front of a converging lens that has a 30cmfocal length.

a Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper with a grid. Determine the image distance and image height by making measurements on your diagram.
bCalculate the image position and height. Compare with your ray-tracing answers in part a.

A light beam can use reflections to form a closed, N-sided polygon inside a solid, transparent cylinder if N is sufficiently large. What is the minimum possible value of N for light inside a cylinder of (a) water, (b) polystyrene plastic, and (c) cubic zirconia? Assume the cylinder is surrounded by air.

A2.0-cm-tall object is15cm in front of a diverging lens that has a20cm focal length.
a Use ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper with a grid. Determine the image distance and image height by making measurements on your diagram.
b Calculate the image position and height. Compare with your ray-tracing answers in parta.

A concave mirror has a 40cmradius of curvature. How far from the mirror must an object be placed to create an upright image three times the height of the object?

A 1.0-cm-tall object is 10cmin front of a converging lens that has a30cmfocal length.
aUse ray tracing to find the position and height of the image. To do this accurately, use a ruler or paper with a grid. Determine the image distance and image height by making measurements on your diagram.
bCalculate the image position and height. Compare with your ray-tracing answers in part a.
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