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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→∞

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∞cm-1-40cm

1f=594000cm

f=400059cm=68cm

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Most popular questions from this chapter

The 80-cm-tall, 65-cm-wide tank shown in FIGURE P34.49 is completely filled with water. The tank has marks every 10 cm along one wall, and the 0 cm mark is barely submerged. As you stand beside the opposite wall, your eye is level with the top of the water.

a. Can you see the marks from the top of the tank (the 0 cm mark) going down, or from the bottom of the tank (the 80 cm mark) coming up? Explain.

b. Which is the lowest or highest mark, depending on your answer to part a, that you can see?

Consider one point on an object near a lens.

a. What is the minimum number of rays needed to locate its image point? Explain.

b. How many rays from this point actually strike the lens and refract to the image point?

A 1.0-cm-tall candle flame is 60cmfrom a lens with a focal length of 20cm. What are the image distance and the height of the flame's image?

Consider an object of thickness ds (parallel to the axis) in front of a lens or mirror. The image of the object has thickness ds′. Define the longitudinal magnification as M = ds′/ds. Prove that M = -m2, where m is the lateral magnification

A point source of light illuminates an aperture 2.0maway. A 12.0-cm-wide bright patch of light appears on a screen 1.0mbehind the aperture. How wide is the aperture?
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