Optics question, can anyone confirm my answer?

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The discussion centers on calculating the final image position and total magnification produced by two converging lenses with a focal length of 27 cm, placed 16.5 cm apart. The initial calculations yield a first image distance (di1) of 118.125 cm and a second object distance (do2) of -101.625 cm, leading to a second image distance (di2) of 21.33 cm. While one participant agrees with the calculated di2, they suggest re-evaluating the total magnification due to potential discrepancies in the sign of M1 and M2. The conversation emphasizes the importance of correctly determining the signs of magnification to arrive at an accurate total magnification value.
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Homework Statement


Two converging lenses of focal length=27cm are placed 16.5cm apart. If an object is placed 35cm in front of the first lens, where will the final image be produced? What will be the total magnification?


Homework Equations


1/f=1/di+1/do
do2=D-di1
M=-di/do

The Attempt at a Solution


1/f1=1/di1+1/do1
1/27=1/35+1/di1
di1=118.125cm

do2=D-di1
do2=16.5-116.125
do2=-101.625cm

1/f2=1/do2+1/di2
1/27=1/-101.625+1/di2
di2=21.33cm<<<<<

Mt=M1M2=(-21.33/-101.626)(118.125/35)=0.785X<<<<<


If something is wrong, please show me my mistake, and if it's right please let me know!
 
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It_Angel said:

Homework Statement


Two converging lenses of focal length=27cm are placed 16.5cm apart. If an object is placed 35cm in front of the first lens, where will the final image be produced? What will be the total magnification?

Homework Equations


1/f=1/di+1/do
do2=D-di1
M=-di/do

The Attempt at a Solution


1/f1=1/di1+1/do1
1/27=1/35+1/di1
di1=118.125cm

do2=D-di1
do2=16.5-116.125
do2=-101.625cm

1/f2=1/do2+1/di2
1/27=1/-101.625+1/di2
di2=21.33cm<<<<<

Mt=M1M2=(-21.33/-101.626)(118.125/35)=0.785X<<<<<If something is wrong, please show me my mistake, and if it's right please let me know!
I agree with your value of di2.

For the magnification, try calculating it again -- I agree with the values 21.33, 101.6, 118.1, and 35, but I get a different final answer.

Also -- again on the magnification -- is M1 positive or negative? How about M2? What does that make Mt?

Hope that helps.

p.s. Welcome to Physics Forums.
 
Thanks a lot :)
 
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