A small lightbulb is 1.04 from a screen.If you have a convex lens with 19 focal

Question

A small lightbulb is 1.04 from a screen.If you have a convex lens with 19 focal length, where are the two lens locations that will project an image of the lightbulb onto the screen? What

Explanation / Answer

f = 19 cm di+do = 104 cm =>di = 104-do 1/f = 1/di + 1/do =>1/19 = 1/(104-do) + 1/do =>1/19 = 104/(104-do)do =>104do - do^2 = 104*19 =>do^2-104do+1976 = 0 =>do = 25.018524873535917cm, 78.981475126464cm Magnification in first case = -di/do = do-104/do = (25.018524873535917-104)/(25.018524873535917) = -3.156919743 Magnification in second case = -di/do = do-104/do = (78.981475126464-104)/(78.981475126464) = -0.316764467

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