How Much Should the Microscope Be Raised After Adding a Plastic Layer?

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SUMMARY

The discussion focuses on the optical principles involved in adjusting a microscope's objective after placing a 1cm thick plastic layer with an index of refraction of 1.67 over a specimen. The key takeaway is that the black dot will appear closer due to the refraction of light, similar to the optical illusion of a swimming pool appearing shallower. The relationship between refractive index, real depth, and apparent depth is crucial for determining the necessary adjustment in the microscope's height to regain focus.

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Problem:
A microscope is focussed on a black dot. You place a 1cm thick piece of plastic, with an index of refraction of 1.67, over the dot. By how much must you raise the microscope's objective for the dot to be in focus again?

Ok, so I'm not sure how to that question at all. Waves and Lights don't seem to click well with me, and it's hard to visualize the problem. I don't even know what formula(s) I would use.

Any help with these is really appreciated! I just need to be steered in the right direction
Thank you very much!
 
Last edited:
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I solved the first problem posted, so I deleted it.
I still need major help with this one though!
 
The black dot will appear to be closer,for the same reason that a swimming pool seems to be shallower.There is a simple equation linking refractive index with real depth and apparent depth.
 

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