Two lenses problem, multiple interpretations, no true answer

AI Thread Summary
The discussion revolves around solving a problem involving two lenses with a focal length of 20 cm, positioned 1 m apart, and a body located 60 cm from the right lens. The initial approach used a complex equation, which led to incorrect results. The correct method involves using the simpler lens equation and adjusting the object distance for the second lens based on the new reference point between the two lenses. After correcting the interpretation and calculations, the final solution was determined to be 28 cm, aligning with the lecturer's answer. This highlights the importance of correctly interpreting lens problems and using appropriate equations.
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Homework Statement



Two lenses, with 20cm focals are in 1m distance from each other.
A body is located 60cm from the right lens.

Homework Equations


I figured that the relevant equation should be:
\frac{n1}{u} + \frac{n2}{v} = \frac{n2 - n1}{r}
but perhaps a I'm wrong.

The Attempt at a Solution



Using the equation above, when u = 60, n1=1(air), n2=1.5(glass) and r=f*2=40
and then again for u=v' (that we got at the first use of the equation) and my answers vary on my interpretation of the problem - my final answers was 20cm right to the right lense and v=51.42cm to the left of the left lense...
They both were wrong.
 
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I understood my mistakes:
a. the correct equation to use is the simpler lens equation (although we can use the above one, but no need)
b. on the second iteration we need to take the new u from the old v but to do the conversion 100-u=u(new) because the new reference image is between the two lenses.

now the final solution is 28cm (and correct, according to the final solution sheet that our lecturer gave us)
 
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