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maniacp08
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Lenses/Images -- Find final image
Two converging lenses, each having a focal length equal to 8 cm, are separated by 35 cm. An object is 30 cm to the left of the first lens.
(a) Find the position of the final image using both a ray diagram and the thin-lens equation
(c) What is the overall lateral magnification?
What I did:
s1' = f1s1/(s1-f1)
s1' = (8cm)(35cm)/(35cm-8cm) = 10.37cm
m1 = - s1'/s = -10.37cm/35cm = -.296285cm
s2' = f2s2/(s2-f2)
s2 = 35cm-30cm = 5cm
s2' = (8cm)(5cm)/(5cm-8cm) = -13.333cm
m2 = - s2'/s = - (-13.333cm)/5cm = 2.666cm
For question a isn't it 35cm+s1'+s2'=32.04cm or 32cm? This answer was marked wrong can anyone tell me what I did wrong?
For question c - m = m1*m2 = -.296285cm*2.666cm = -.78989581cm but this is again wrong
Please help, thanks!
Two converging lenses, each having a focal length equal to 8 cm, are separated by 35 cm. An object is 30 cm to the left of the first lens.
(a) Find the position of the final image using both a ray diagram and the thin-lens equation
(c) What is the overall lateral magnification?
What I did:
s1' = f1s1/(s1-f1)
s1' = (8cm)(35cm)/(35cm-8cm) = 10.37cm
m1 = - s1'/s = -10.37cm/35cm = -.296285cm
s2' = f2s2/(s2-f2)
s2 = 35cm-30cm = 5cm
s2' = (8cm)(5cm)/(5cm-8cm) = -13.333cm
m2 = - s2'/s = - (-13.333cm)/5cm = 2.666cm
For question a isn't it 35cm+s1'+s2'=32.04cm or 32cm? This answer was marked wrong can anyone tell me what I did wrong?
For question c - m = m1*m2 = -.296285cm*2.666cm = -.78989581cm but this is again wrong
Please help, thanks!