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  1. ---
  2. title: 'new course : beyond'
  3. ---
  4. ! *YOUR CHALLENGE* :
  5. !
  6. ! *CHALLENGE n°1* : The enigma of the cup of icecream.
  7. !
  8. ! ![](defi_glace_650.jpg)
  9. !
  10. ! Why does the volume of the cup seem to be completely filled with ice cream, when it contains so little?
  11. !
  12. ! <details markdown=1>
  13. ! <summary>
  14. ! I choose this challenge.
  15. ! </summary>
  16. ! Information : the refractive index of the air is $n_1=1$, the one for the cup is $n_2=1.5$. a $R_1$ is the inner radius of the cup, $R_2$ its outer radius.
  17. !
  18. ! _Don’t look at the answer, take some time to think, a few days if necessary. The time to build your mental representation of the phenomenon, to formulate it in words is important, a thousand times more important than the ephemeral moment of reading the few words of the solution._
  19. !
  20. ! <details markdown=1>
  21. ! <summary>
  22. ! CLUE 1 : keywords
  23. ! </summary>
  24. ! angle of total reflection.
  25. ! </details>
  26. ! <details markdown=1>
  27. ! <summary>
  28. ! CLUE 2 : trail
  29. ! </summary>
  30. ! The colored ray that reaches the eye of the observer comes from a point of the strawberry ice cream located at the interface with the inner wall of the glass cup.
  31. ! </details>
  32. ! <details markdown=1>
  33. ! <summary>
  34. ! ANSWER
  35. ! </summary>
  36. ! to write
  37. ! </details>
  38. ! </details>
  39. !
  40. ! -----------
  41. !
  42. ! *CHALLENGE n°2* : Automatic rain detector
  43. !
  44. ! ![](detecteur_pluie_650.jpg)
  45. !
  46. ! How to detect the rain on a windshield, the detection system being inside the car?
  47. !
  48. ! <details markdown=1>
  49. ! <summary>
  50. ! I choose this challenge
  51. ! </summary>
  52. ! Information : the refractive indices of air, water and glass of the windshield are respectively $n_ {air} = 1$, $n_ {glass} = 1.5$ and $n_ {water} = 1.33$. The detection system includes a diode light emitter and then a light detector, both attached to the windshield on the inside of the car. The light emitted by the diode propagates in the windshield.
  53. !
  54. ! _Don’t look at the answer, take some time to think, a few days if necessary. The time to build your mental representation of the phenomenon, to formulate it in words is important, a thousand times more important than the ephemeral moment of reading the few words of the solution._
  55. !
  56. ! <details markdown=1>
  57. ! <summary>
  58. ! CLUE 1 : keywords
  59. ! </summary>
  60. ! total reflection angle
  61. ! </details>
  62. ! <details markdown=1>
  63. ! <summary>
  64. ! CLUE 2 : trail
  65. ! </summary>
  66. ! Both the light emitter and the light receiver are in contact with the windshield inside the car. The refractive interface of the windshield on the outside of the car is a glass-air refracting surface if it does not rain, and a glass-water refracting surface if there is a drop of water.
  67. ! </details>
  68. ! <details markdown=1>
  69. ! <summary>
  70. ! ANSWER
  71. ! </summary>
  72. ! to write
  73. ! </details>
  74. ! </details>
  75. !
  76. ! -----------
  77. !
  78. ! *CHALLENGE n°3* : A multi touch screen technology (challenge under construction)
  79. !
  80. ! -----------
  81. !
  82. ! *CHALLENGE n°4* : Luminous fountain (challenge under construction)
  83. !
  84. !!!! *DIFFICULT POINT* (contribute, or indicate a difficult point of understanding)
  85. !!!!
  86. !! *BEYOND* (to contribute)
  87. !!
  88. !! *CULTURAL POINT* (contributor)
  89. !!
  90. !!! *DO YOU MASTER ?*
  91. !!! <details markdown=1>
  92. !!! <Summary>
  93. !!! Describe the test
  94. !!! </summary>
  95. !!! The text of the test (and its images, figures, audio, video, etc ...)
  96. !!!
  97. !!! Question text
  98. !!! <details markdown=1>
  99. !!! <summary>
  100. !!! Answer choice 1
  101. !!! </summary>
  102. !!! Text if this answer 1 is chosen
  103. !!! </details>
  104. !!! <details markdown=1>
  105. !!! <summary>
  106. !!! Answer choice 2
  107. !!! </summary>
  108. !!! Text if this answer 2 is chosen
  109. !!! </details>
  110. !!! <!--possibility to add answers, questions-->
  111. !!! -----
  112. !!! <details markdown=1>
  113. !!! <summary>
  114. !!! Complete solution.
  115. !!! </summary>
  116. !!! text of the solution
  117. !!! </details>