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Update 00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.es.md

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00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.es.md

@ -215,44 +215,45 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son
! *Discovery time : 30 minutes*<br>
! *Resolution time : 10 minutes*
!
! <details markdown=1>
! <details>
! <summary>
! I choose it
! </summary>
! A lensball is a simple physical system: a sphere of glass of refractive index $`n=1.5`$ and of radius $`R=5\;cm`$.
!
! <br>
! A ball lensball is placed in front of a painting. Depending on the position of the observer or the camera,
! the optical system (the sequence of simple optical elements crossed by light between the physical object
! and the observed image) that forms the image differs.
!
! <br>
! Observe the 3 images of the painting given by the lensball :
!
! <br>
! Image 1
!
! <br>
! ![](lentille-boule-1-transparence_L650.jpg)
!
! <br>
! Images 2 (the smallest) and 3
!
! <br>
! ![](lentille-boule-2-reflexions_L650.jpg)
!
! <br>
! For each image of the painting, can you identify the optical system, then specify `
! the characteristics of the various simple elements that constitute the system and their relative distances?
!
! <br>
! * _The resolution time is the typical expected time to be allocated to this problem if it was part of an examen for an optics certificate._
! * _The discovery time is the expected time required to prepare this challenge if you don't have practice. But take as much time as you need._
!
! <\details>
! <br>
! <details>
! <summary>
! Ready to answer M3P2 team questions for image 1?
! </summary>
!
! <br>
! <details>
! <summary>
! Where is the painting located?
! </summary>
! * The painting is located on the other side of the lens, in relation to you.
! </details>
! <br>
! <details>
! <summary>
! What is the optical system giving the image of the painting?
@ -261,6 +262,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son
! * The optical system is composed of two spherical refracting surfaces, centered on the same optical axis.<br>
! <br>
! </details>
! <br>
! <details>
! <summary>
! How do you characterize each of the single optical elements that make up this optical system,
@ -280,79 +282,83 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son
! $DS2$ encountered by the light has the follwing characteristics :<br>
! $`\overline{S_2C_2}=-|R|=-5\;cm`$ ,
! $`n_{ini}=1.5`$ and $`n_{fin}=1`$
!
! <br>
! * Algebraic distance between $DS1$ and $DS2$ is : $`\overline{S_1S_2}=+10\;cm`$
!
! <br>
! </details>
! <br>
! <details>
! <summary>
! If you had to determine the characteristics of the image (position, size), how
! would you handle the problem?
! </summary>
!
! <br>
! * $`DS1`$ gives an image $`B_1`$ of an object $`B`$. This image $`B_1`$ for $`DS1`$
! becomes the object for $`DS2`$. $`DS2`$ gives an image $`B'1`$ of the object $`B_1`$
!
! <br>
! </details>
! </details>
!
! <br>
! <details>
! <summary>
! Ready to answer M3P2 team questions for images 2 and 3?
! </summary>
!
! <br>
! <details>
! <summary>
! Where is the painting located?
! </summary>
!
! <br>
! * The painting is located on the same side of the lens as you, behind you.
!
! <br>
! </details>
! <br>
! <details>
! <summary>
!
! <br>
! What are the two optical systems at the origin of the two images of the painting? And
! can you characterize each of the single optical elements (+ their relative distances)
! that make up each of these optical systems ?
! </summary>
!
! <br>
! * A first optical system $`OS1`$ is composed of a simple convexe spherical mirror
! (the object is reflected on the front face of the ball lensball). Keaping the optical
! axis positively oriented in the direction of the incident light propagation on the lensball,
! the algebraic value of the mirror radius is : $`\overline{SC}=+5\;c`$.
!
! <br>
! * The second optical system $`OS2`$ is composed of three simple optical elements :<br><br>
! 1) The light crosses a spherical refracting surface $`DS1`$ with characteristics :
! $`\overline{S_1C_1}=+|R|=+5\;cm`$ , $`n_{ini}=1`$ and $`n_{fin}=1.5`$.
!
! <br>
! 2) Then the light is reflected at the surface of the last lensball interface that
! acts like a spherical mirror of characteristics : $`\overline{S_2C_2}=-|R|=-5\;cm`$,
! $`n=1.5`$.
!
! <br>
! 3) Finally the light crosses back the first interface of the lensball that acts
! like a spherical refracting surface those characteristics are :
! $`\overline{S_3C_3}=+|R|=+5\;cm`$ , $`n_{ini}=1.5$ and $n_{fin}=1`$.
!
! <br>
! Relative algebraic distances between the different elements of $`OS2`$ are :
!
! <br>
! $`\overline{S_1S_2}=+10\;cm`$ and $`\overline{S_2S_3}=-10\;cm`$
!
! <br>
! </details>
! <br>
! <details>
! <summary>
! Which image is associated with each of the optical systems?
! </summary>
!
! <br>
! * It is difficult to be 100% sure before having made the calculations.
!
! <br>
! </details>
! <br>
! <details>
! <summary>
! Why do we had to take the picture in the darkness, with only the painting
! illuminated behind the camera, to obtain images 2 and 3 ?
! </summary>
!
! <br>
! * At a refracting interface, part of the light incident power is refracted,
! and part is reflected. For transparent material like glass and for visible light,
! the part of the reflected power is small. If the room had been homogeneously

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