Optimizing Mirror Widths for Periscope Design

L+l)/l. This is because the function of the mirrors is to deviate the path of rays so that objects at a higher position can be viewed from a lower position. This can be simplified by considering a single straight tube, and the objects being viewed at a great distance away.
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ananya17
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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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hi ananya17! welcome to pf! :smile:

pretend that they're windows :wink:​
 

What is the purpose of minimum widths for mirrors?

The minimum width of a mirror is important for ensuring that the mirror is large enough to reflect an adequate amount of light. This is especially important for mirrors used in scientific instruments such as telescopes or microscopes, where the amount of light reflected can greatly impact the quality of the image produced.

What factors determine the minimum width of a mirror?

The minimum width of a mirror is determined by the size and shape of the object being reflected, the distance between the mirror and the object, and the desired intensity of the reflected light. Additionally, the material and thickness of the mirror also play a role in determining the minimum width.

Can the minimum width of a mirror be smaller than its focal length?

No, the minimum width of a mirror cannot be smaller than its focal length. This is because the focal length is the distance at which parallel rays of light will converge after being reflected off the mirror. If the mirror is smaller than the focal length, the reflected rays will not converge and the image will be distorted.

What are the consequences of using a mirror with a width smaller than the minimum width?

If a mirror with a width smaller than the minimum width is used, the amount of light reflected will be reduced and the image produced will be dimmer. The smaller mirror may also cause distortion and aberrations in the image due to the limited amount of light being reflected.

How is the minimum width of a mirror calculated?

The minimum width of a mirror is typically calculated using the formula W = D * tan(A), where W is the minimum width, D is the distance between the mirror and the object, and A is the angle of incidence of the light rays. However, this formula may vary depending on the specific application and optical system being used.

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