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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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Most popular questions from this chapter

An old-fashioned slide projector needs to create a 98-cm-high image of a 2.0-cm-tall slide. The screen is 300 cm from the slide.

a. What focal length does the lens need? Assume that it is a thin lens.

b. How far should you place the lens from the slide?

A horizontal meter stick is centered at the bottom of a 3.0m-deep, 3.0m-wide pool of water. How long does the meter stick appear to be as you look at it from the edge of the pool?

An object is 40cmin front of a concave mirror with a focal length of 20cm. Use ray tracing to locate the image. Is the image upright or inverted?

A keratometer is an optical device used to measure the radius of curvature of the eye’s cornea—its entrance surface. This measurement is especially important when fitting contact lenses, which must match the cornea’s curvature. Most light incident on the eye is transmitted into the eye, but some light reflects from the cornea, which, due to its curvature, acts like a convex mirror. The keratometer places a small, illuminated ring of known diameter 7.5 cm in front of the eye. The optometrist, using an eyepiece, looks through the center of this ring and sees a small virtual image of the ring that appears to be behind the cornea. The optometrist uses a scale inside the eyepiece to measure the diameter of the image and calculate its magnification. Suppose the optometrist finds that the magnification for one patient is 0.049. What is the absolute value of the radius of curvature of her cornea?

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?
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