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51. (II) An object is located 1.5 m from an 8.0-D lens. By
Chapter 23, Problem 51(choose chapter or problem)
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?
Questions & Answers
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.