51. (II) An object is located 1.5 m from an 8.0-D lens. By

Chapter 23, Problem 51

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QUESTION:

51. (II) An object is located 1.5 m from an 8.0-D lens. By how much does the image move if the object is moved (a) 1.0 m closer to the lens, and (b) 1.0 m farther from the lens?

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QUESTION:

51. (II) An object is located 1.5 m from an 8.0-D lens. By how much does the image move if the object is moved (a) 1.0 m closer to the lens, and (b) 1.0 m farther from the lens?

ANSWER:

Step 1 of 7

a) For the initial object distance , the image distance is . When the object moves closer to the lens, the object distance is , the image is formed in another place and the new image distance is .

From the difference  and  we can find how much the image is moved.

Image distance can be found using a thin lens equation.

Thin lens equation relates the object distance  and image distance  to the focal length .

Lens equation for the initial object distance is

Where is  focal length

 

 is the power of the lens.

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