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What focal length of lens to image the object at a magnification of -3

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Assume that you have an object that you want to image onto a viewing screen 1500mm away from the object. What are the possible image magnifications if you image the object onto the screen with a thin lens of focal length f=160mm? What focal length of the lens would you need to image the object at a magnification of -3?

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With good narrative statements and formulas, the problem is solved. The focal length of lens to image the object at a magnification of -3 is determined.

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