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Introductory Physics Volume Two

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176 Geometric Optics 8.11<br />

position of the final image using both a ray diagram and the thin-lens<br />

equation. (b) Is the image real or virtual? Upright or inverted? (c)<br />

What is the overall magnification of the image?<br />

⊲ Problem 8.12<br />

An object is 15 cm in front of a positive lens of focal length 15 cm. A<br />

second negative lens of focal length -15 cm is 20 cm from the first lens.<br />

Find the final image and draw a ray diagram.<br />

⊲ Problem 8.13<br />

A concave mirror has a focal length of 40.0cm. Determine the object<br />

position for which the resulting image is upright and four times the size<br />

of the object.<br />

⊲ Problem 8.14<br />

A concave mirror has a radius of curvature of 60 cm, (f = 30cm).<br />

Calculate the image position and magnification of an object placed in<br />

front of the mirror at distances of 90 cm and 20 cm. Draw ray diagrams<br />

to obtain the image in each case.<br />

⊲ Problem 8.15<br />

Under what conditions will a concave mirror produce and erect image?<br />

A virtual image? An image smaller than the object? An image larger<br />

than the object? Repeat the exercise for a convex mirror.<br />

⊲ Problem 8.16<br />

A dentist wants a small mirror that will produce an upright image with<br />

a magnification of 5.5 when the mirror is located 2.1 cm from a tooth.<br />

(a) What should the radius of curvature of the mirror be? (b) Should<br />

it be concave or convex?

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