Image distance after passing through lens and mirror

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Homework Help Overview

The discussion revolves around a problem involving a lens and a mirror, where participants are trying to determine the final image distance after light passes through the lens and reflects off the mirror. The focal lengths of the lens and mirror, as well as the distances involved, are provided, but the original poster expresses confusion about their calculations.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the lens formula but encounters difficulties with the results. They describe their calculations for both the lens and the mirror, noting different approaches to find the image distance. Some participants question the validity of one approach and suggest checking for errors in the calculations.

Discussion Status

Participants are actively engaging in the problem, with some providing guidance on checking calculations and clarifying assumptions. There is a recognition of potential mistakes in the original poster's reasoning, but no consensus has been reached on a definitive solution.

Contextual Notes

The original poster is working under the constraints of a homework assignment, which may limit the types of assistance they can receive. The discussion includes a focus on understanding the behavior of light as it interacts with the lens and mirror system.

Dhananjay97
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The lens and mirror in the figure below are separated by d = 1.00 m and have focal lengths of +77.9 cm and -59.0 cm, respectively. An object is placed p = 1.00 m to the left of the lens as shown. i need to find the final object distance and have no idea what am i doing wrong. I am just using the equation 1/f=1/p+1/q over and over again but the answer is always wrong
 
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Post your working here and we'll help you find your mistakes, yeah? We don't provide full solutions here at PF. :)
 
first i started with the object and the lens and substituted the values in the equation 1/f=1/q+1/p since we know focal length of the lens and the object distance, and got 352.489 cm. This put the image to the right side of the mirror. Now the object of the mirror (the image of the lens) is on the same side as the focal point of the mirror so I solved for q again using the same equation and using -252.489 cm as my p (subtracted 100 cm because that was the distance between the lens and mirror). i got - 76.9907cm which meant the image was still to the right of the mirror. from there i followed two approaches:-
1) assume that the image from the image goes straight to the lens and use -176.9907 cm as p to solve for q to get 38.72 cm to the left of the lens
2) assume that the image from the mirror goes through the mirror again solve for the mirror again, using the same equation but the image kept going further to the right.
 
Dhananjay97 said:
2) assume that the image from the mirror goes through the mirror again solve for the mirror again, using the same equation but the image kept going further to the right.

This approach is incorrect. The light ray has already reflected off the mirror at that point, and is going towards the lens. It just appears to be coming from behind the mirror (virtual image).

Dhananjay97 said:
1) assume that the image from the image goes straight to the lens and use -176.9907 cm as p to solve for q to get 38.72 cm to the left of the lens

Check your working for this step again. I suspect you might have a careless mistake here.
 
you were right! thank you so much
 
Dhananjay97 said:
you were right! thank you so much

Yup, it's my pleasure! :smile:
 

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