Where will the image of the candle be formed?

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Homework Help Overview

The problem involves a candle flame positioned above a water tank, with specific measurements provided for the depth of the tank and the height of the flame. The context includes concepts of optics, particularly refraction and reflection, as well as the implications of the refractive index of water.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the implications of refraction and reflection in determining the image location of the candle. Some question the relevance of the tank's depth and the refractive index, while others consider the observer's perspective in interpreting the image.

Discussion Status

The discussion is active, with participants offering different interpretations of the problem. Some guidance has been provided regarding the nature of the image based on the observer's position, but there is no explicit consensus on the correct approach or interpretation of the given data.

Contextual Notes

Participants note potential confusion arising from the problem's details, such as the depth of the tank and the refractive index, suggesting that not all information may be necessary for solving the problem.

kihr
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Homework Statement



A water tank is 4 meters deep. A candle flame is kept 6 metres above the level of the water. Mu for water is 4/3. Where will the image of the candle be formed?

Homework Equations





The Attempt at a Solution



I need a few clues to proceed. If I consider refraction at the water surface the image will be formed above the candle flame. The answer given in the book is 6 metres below the water level.
 
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Hi kihr! :wink:
kihr said:
A water tank is 4 meters deep. A candle flame is kept 6 metres above the level of the water. Mu for water is 4/3. Where will the image of the candle be formed?

The answer given in the book is 6 metres below the water level.

I think they must mean reflection, not refraction. :smile:
 


It depends on the position of the observer. An observer above the water sees the mirror image of the candle. An observer looking up would see the candle flame above the real one.

ehild
 


If we consider the surface of water as a mirror the answer is simple. But then what is the significance of giving the depth of the tank and the refractive index of water in this problem? This is what has confused me. Could you throw some light on this please?
 


I can not read the mind of other people. Maybe, there are more questions in your book, concerning the same set-up. Sometimes more data are given in a problem than necessary so as the student should choose which are relevant.

ehild
 


Thanks. I think the whole idea might have been to confuse the student!
 

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