The nickel\'s image in the figure below has four times the diameter of the nicke
ID: 2199141 • Letter: T
Question
The nickel's image in the figure below has four times the diameter of the nickel when the lens is 2.76 cm from the nickel. Determine the focal length of the lens. answer in cm
The nickel's image in the figure below has four times the diameter of the nickel when the lens is 2.76 cm from the nickel. Determine the focal length of the lens. answer in cmExplanation / Answer
shown the figure mentioned if the image is real, or virtual. the magnification is always (-) di/do where di = image distance, and do = object distance. assuming a rea image: Magnification is 4, so di = 4do. Now you can use 1/di + 1/do = 1/f --> substitute di by 4do 1/(4do) + 1/do = 1/f (1 + 4)/(4do) = 1/f f = 4do/(1+4) f = 4*2.76/5 f = 2.208 cm assuming a virtual image: di = negative - 1/(4do) + 1/do = 1/f (-1 + 4)/(4do) = 1/f f = 4do/3 f = 4*2.76/3 f = 3.68 cm
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