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Chapter 34: Q. 26 (page 991)

Find the focal length of the planoconvex polystyrene plastic lens in FIGURE EX34.26.

Short Answer

Expert verified

The focal length of the planoconvex polystyrene plastic lens is68cm.

Step by step solution

01

Figure for foal 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

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

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

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 with.

R1鈫�鈭�

WithR2=-40, the second surface behaves as a concave surface.

Focal length is,

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

Substitute the following numerical values:

1f=(1.59-1)1鈭�cm-1-40cm

1f=594000cm

f=400059cm=68cm

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Most popular questions from this chapter

A 2.0-cm-tall object is 15cmin front of a converging lens that has a20cm focal 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.
b Calculate the image position and height. Compare with your ray-tracing answers in part a.

An object is 30cmin front of a converging lens with a focal length of 5cm. Use ray tracing to determine the location of the image. Is the image upright or inverted?

A 1.0-cm-tall object is 60cmin front of a diverging lens that has a30cm 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.
bCalculate the image position and height. Compare with your ray-tracing answers in part a.

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.

To a fish in an aquarium, the 4.00鈭�mm-thick walls appear to be only 3.50mmthick. What is the index of refraction of the walls?
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