diff --git a/00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.es.md b/00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.es.md index a9f001c9e..d318af371 100644 --- a/00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.es.md +++ b/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*
! *Resolution time : 10 minutes* ! -!
+!
! ! I choose it ! ! A lensball is a simple physical system: a sphere of glass of refractive index $`n=1.5`$ and of radius $`R=5\;cm`$. -! +!
! 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. -! +!
! Observe the 3 images of the painting given by the lensball : -! +!
! Image 1 -! +!
! ![](lentille-boule-1-transparence_L650.jpg) -! +!
! Images 2 (the smallest) and 3 -! +!
! ![](lentille-boule-2-reflexions_L650.jpg) -! +!
! 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? -! +!
! * _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> +!
!
! ! Ready to answer M3P2 team questions for image 1? ! -! +!
!
! ! Where is the painting located? ! ! * The painting is located on the other side of the lens, in relation to you. !
+!
!
! ! 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.
!
!
+!
!
! ! 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 :
! $`\overline{S_2C_2}=-|R|=-5\;cm`$ , ! $`n_{ini}=1.5`$ and $`n_{fin}=1`$ -! +!
! * Algebraic distance between $DS1$ and $DS2$ is : $`\overline{S_1S_2}=+10\;cm`$ -! +!
!
+!
!
! ! If you had to determine the characteristics of the image (position, size), how ! would you handle the problem? ! -! +!
! * $`DS1`$ 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 $`B_1`$ -! +!
!
!
-! +!
!
! ! Ready to answer M3P2 team questions for images 2 and 3? ! -! +!
!
! ! Where is the painting located? ! -! +!
! * The painting is located on the same side of the lens as you, behind you. -! +!
!
+!
!
! -! +!
! 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 ? !
-! +!
! * 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 : $`\overline{SC}=+5\;c`$. -! +!
! * The second optical system $`OS2`$ is composed of three simple optical elements :

! 1) The light crosses a spherical refracting surface $`DS1`$ with characteristics : ! $`\overline{S_1C_1}=+|R|=+5\;cm`$ , $`n_{ini}=1`$ and $`n_{fin}=1.5`$. -! +!
! 2) Then the light is reflected at the surface of the last lensball interface that ! acts like a spherical mirror of characteristics : $`\overline{S_2C_2}=-|R|=-5\;cm`$, ! $`n=1.5`$. -! +!
! 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 $n_{fin}=1`$. -! +!
! Relative algebraic distances between the different elements of $`OS2`$ are : -! +!
! $`\overline{S_1S_2}=+10\;cm`$ and $`\overline{S_2S_3}=-10\;cm`$ -! +!
!
+!
!
! ! Which image is associated with each of the optical systems? ! -! +!
! * It is difficult to be 100% sure before having made the calculations. -! +!
!
+!
!
! ! 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 ? ! -! +!
! * 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