Solving Ray Optics Problem 2: Mirror Positions and Image Formation

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Homework Help Overview

The discussion revolves around a ray optics problem involving the positions of mirrors and the formation of images from a point source. Participants are analyzing how the movement of a lower mirror affects the image location as depicted in provided diagrams.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants suggest considering multiple rays from the source rather than focusing on a single ray. There are questions about whether other rays might still activate a detector when the mirror is moved. Some participants propose tracing additional rays to better understand the image formation.

Discussion Status

The discussion is ongoing, with participants providing guidance on how to approach the problem by considering more rays and their interactions with the mirrors. There is no explicit consensus on the correct answer, as different interpretations of the ray behavior are being explored.

Contextual Notes

Participants are working with diagrams that illustrate the positions of the mirrors and the corresponding images. There is mention of a discrepancy between the original poster's conclusion and the book's provided answers, which adds to the complexity of the discussion.

thunderhadron
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Hi friends,
Please help me in answering this problem

The problem is as follows,

https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-prn1/s480x480/11130_2937865262994_1085043361_n.jpg

Well,
Friends when the lower mirror would be at position 'A', which is moving in the upward direction, the img of the source 'S' will be at position (I') as shown in the figure below. And and after some time when the mirror will be at position 'B' the same ray will make the img of the source and the new position (I').
https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-ash3/60754_2937792661179_1384286388_n.jpg

Hence the answer of the question should be option (A). But in the book the answer of the problem is given options (B) & (D)

Please friends help me in this problem.
Thank you very much in advance.
 
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You have only drawn what happens to one ray in the point source - draw in the others.
OR you can try it with an LED.
 
... that was a little terse.
Imagine the mirror in position A in your diagram, put a detector at the place the ray ends up. The detector goes off - fine.

Move the mirror to position B, will the detector go off?
The same angle ray won't set it off, but that is not the only ray coming from the source.
Is there another ray that will set the detector off?

Think about the spot of light - where is it centered? How does the brightness fall off towards the edge? Is there anywhere you could put the detector and not detect any light?
 
thunderhadron said:
Hi friends,
Please help me in answering this problem

The problem is as follows,

https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-prn1/s480x480/11130_2937865262994_1085043361_n.jpg

Well,
Friends when the lower mirror would be at position 'A', which is moving in the upward direction, the img of the source 'S' will be at position (I') as shown in the figure below. And and after some time when the mirror will be at position 'B' the same ray will make the img of the source and the new position (I').
https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-ash3/60754_2937792661179_1384286388_n.jpg

Hence the answer of the question should be option (A). But in the book the answer of the problem is given options (B) & (D)

Please friends help me in this problem.
Thank you very much in advance.

The two rays you have drawn, while correct, are not helping with the solution.

You need 4 other rays.

A ray from S to the left end of mirror in position A - then trace on to the wall
A ray from S to the left end of mirror in position B - then trace it to the wall.

Then do two rays - one each to the right hand ends of the mirror in position A and B.
 
Consider what happens to the incident angle when the normal is kept at the same position on the mirror.
 

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