Ch 26, problem 7An object is 21.0 cm from a converging lens, and the image falls on a screen. When the object is moved 3.50 cm closer to the lens, the screen must be moved 2.20 cm farther away from the lens to register a sharp image. Determine the focal length of the lens.

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Asked Nov 16, 2019
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Ch 26, problem 7

An object is 21.0 cm from a converging lens, and the image falls on a screen. When the object is moved 3.50 cm closer to the lens, the screen must be moved 2.20 cm farther away from the lens to register a sharp image. Determine the focal length of the lens.

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Expert Answer

Step 1

According to the lens equation,

1 1
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1 1

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Step 2

the value of the image distance can be ...

1
1
1
(1)
f 21.0cm
1
1
- +
v+2.20cm
1
(2)
f 17.5cm
1
1
v17.5cm
21.0cm
v2.20cm
v=14.138
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1 1 1 (1) f 21.0cm 1 1 - + v+2.20cm 1 (2) f 17.5cm 1 1 v17.5cm 21.0cm v2.20cm v=14.138

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