Thick convex mirror or a thin one for the anti-theft mirror?

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Discussion Overview

The discussion revolves around the choice between thick and thin convex mirrors for use as anti-theft mirrors, focusing on the implications of mirror thickness on image formation and focal length. Participants explore the technical aspects of mirror curvature, focal length, and the practical considerations for security applications.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants question the teacher's assertion that a thin convex mirror does not form multiple images compared to a thick mirror, seeking clarification on the relationship between thickness and image formation.
  • There is a suggestion that the thickness of a mirror does not directly affect its focal length, but rather its curvature does, which is a point of contention among participants.
  • Some participants propose that a longer focal length is desirable for security mirrors to provide a wider angle of view, while others challenge the idea that a larger mirror necessarily means it is flatter.
  • One participant introduces the concept of constructing mirrors with varying focal lengths and curvatures, referencing the design principles of Fresnel lenses.
  • There is confusion regarding the terminology used, particularly the phrase "lens of mirror," prompting further clarification on focal length and its implications for image formation.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between mirror thickness, focal length, and image formation. Multiple competing views remain regarding the technical explanations and practical implications for using thick versus thin convex mirrors.

Contextual Notes

Limitations include unresolved definitions of thickness and curvature, as well as the dependence of image formation on various factors that are not fully explored in the discussion.

  • #31
nasu said:
Did you read the posts above?
The telescope mirror is silvered on the front so the thickness of glass is irrelevant for image construction. There are no reflections due to the glass.

Yes, but i was actually referring to this post
sophiecentaur said:
If the exam question had been about an astronomical telescope with a back-silvered (concave, as it happens) mirror, the multiple reflections could have been relevant to the image quality. As it happens, the mirrors you see in supermarkets could well be surface silvered and plastic, in any case.

So, it's possible that the answer is thin bcs thin mirror would have less internal reflections?
 
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  • #32
Oh, but astronomical mirrors do not have silvered backs but fronts.

Yes, it may be that they refer to the multiple reflections produced by the glass, in the case of back silvered mirrors.
But I still think this is not an important point. The reflection from glass may be an order of magnitude weaker than the one from the metal.
 
  • #33
I can't say I read every comment so excuse me if I missed something. The terms "thick" and "thin" have special meaning when applied to lenses as there is an entire field of "thin lens" design techniques. But when it come to mirrors - to the best of my knowledge - there is only the physical thickness of a back side coated optic to consider. As just mentioned "The reflection from glass may be an order of magnitude weaker than the one from the metal." - in fact for a silver mirror it is about 4% vs 94% (~2% loss in the silver). However that is for normal incidence. At high angles (45 deg or so) the balance changes. By 60 degrees its more like 15% to 83% and get progressively worse. Most security/safety mirrors are front side (aluminum) coated polished metal or plastic.
 
  • #34
It has taken many knowledgeable replies to determine that thickness means thickness.
The problem appears to be a very poorly worded exam question.
But it may not be so easily dismissed:
No student could be expected to answer on a logical basis, without more information particularly what is meant by a "security mirror".
So I would have expected any decent teacher to realize that many of the class could not adequately respond, & he or she should have prepared a full explanation, even to the point of providing a complete written answer.
Alas maybe the teacher was not at full strength on the subject.
 
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  • #35
_Anthony_ said:
With respect sophiecentur, astronomical mirrors are generally silvered on the front.
Yes. I know. And one good reason is to avoid multiple reflections. That was my point. Maybe I didn't write the comment well enough.
 
  • #36
sophiecentaur, Or maybe more likely I didn't read it right. I'm new here and I don't want to offend anyone, I've got lots of questions to ask the "knowledge database" donating their time. I apologize for the miscommunication.
 

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