Optimizing Mirror Widths for Periscope Design

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SUMMARY

The discussion focuses on optimizing the widths of mirrors in a periscope design, specifically addressing the ratio of minimum widths based on the distances involved. The derived formula for the ratio of the minimum widths of the mirrors is (L+l)/l, where L is the distance between the mirrors and l is the distance from the lower mirror to the observer's eye. This solution simplifies the problem by treating the periscope as a straight tube, emphasizing the mirrors' role in redirecting light paths for optimal viewing.

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Homework Statement


A periscope is made of two good mirrors. Find the ratio of the minimum widths of the mirrors if the distance between them is L and the distance from the lower mirror to the eye of the observer is l.The objects viewed through the periscope are at a great distance from it.


Homework Equations





The Attempt at a Solution


We can straighten the tube and consider a single straight tube because the function of the mirror is only to deviate the path of rays so that the object at higher position can be seen from lower position.
The answer to this question is (L+l)/l. Explain the solution of this question.
 
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