From 609eebe6f244695e548bad39861ecceb1c7aeab4 Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Fri, 26 Feb 2021 15:05:20 +0100 Subject: [PATCH] Update 00.brainstorming-pedagogical-teams/45.synthesis-structuring/instructions-for-levels/30.beyond/annex.es.md --- .../30.beyond/annex.es.md | 96 +++++++------------ 1 file changed, 36 insertions(+), 60 deletions(-) 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 c0142fde4..a51988e76 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 @@ -206,6 +206,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son ##### Algunos ejemplos + ! *YOUR CHALLENGE* : An object (a painting), a physical system (a lensball), how many scenarios and optical systems? ! ! _Skill tested : understanding of physical situations_ @@ -214,7 +215,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son ! ! *Discovery time : 30 minutes*
! *Resolution time : 10 minutes* - +! !
! ! I choose it @@ -234,48 +235,26 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son ! Images 2 (the smallest) and 3 ! ! ![](lentille-boule-2-reflexions_L650.jpg) -! ! -!
-! -! 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> -!
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! ! Ready to answer M3P2 team questions for image 1? ! -!
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+! +!
! ! Where is the painting located? ! ! * The painting is located on the other side of the lens, in relation to you. !
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! ! What is the optical system giving the image of the painting? ! @@ -283,8 +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.
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! ! How do you characterize each of the single optical elements that make up this optical system, ! and their relative distances? @@ -303,83 +281,80 @@ 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 : $`\overline{S_1S_2}=+10\;cm`$ -!
+! !
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! ! 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 $`B_1`$ -!
+! !
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+! +! +!
! ! Ready to answer M3P2 team questions for images 2 and 3? ! -!
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+! +!
! ! Where is the painting located? ! -!
+! ! * The painting is located on the same side of the lens as you, behind you. -!
+! !
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+! ! 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 ? !
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+! ! * 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 $`\overline{S_2S_3}=-10\;cm`$ -!
+! !
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! ! Which image is associated with each of the optical systems? ! -!
+! ! * It is difficult to be 100% sure before having made the calculations. -!
+! !
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! ! 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 @@ -389,6 +364,7 @@ Se ofrecen las siguientes categorías, pero para discusión, todas las ideas son !
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+ ! *YOUR CHALLENGE* : Looking at a cathedral through a lensball. Can you predict your observation? ! ! _Skill tested : to know how to carry out calculations_