Optics question, can anyone confirm my answer?

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In summary: And I got 0.785X as my answer for magnification and I think it should be positive since the final image is real and upright. So, Mt should also be positive. Did I make any mistake?In summary, two converging lenses with focal length of 27cm and placed 16.5cm apart have an object placed 35cm in front of the first lens. The final image is produced at 21.33cm and the total magnification is 0.785X. The final image is real and upright, making the magnification positive.
  • #1
It_Angel
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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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  • #2
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.
 
  • #3
Thanks a lot :)
 

1. What is optics?

Optics is the branch of physics that deals with the behavior and properties of light and its interactions with matter.

2. Can you explain the difference between reflection and refraction?

Reflection is the bouncing back of light when it hits a surface, while refraction is the bending of light when it passes through a medium with a different optical density.

3. How do lenses work?

Lenses work by refracting light, causing it to converge or diverge, depending on the shape and curvature of the lens. This allows lenses to manipulate the direction and focus of light, enabling us to see more clearly.

4. What are the three primary colors of light?

The three primary colors of light are red, green, and blue. These colors can be combined in different ways to create all the colors we see in the visible spectrum.

5. What is the difference between convex and concave lenses?

Convex lenses are thicker in the middle and thinner at the edges, causing light to converge and create a magnified image. Concave lenses are thinner in the middle and thicker at the edges, causing light to diverge and create a smaller, virtual image.

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