Ondes — Quiz — Onde Stationnaire

{
  "quiz_title": "Onde Stationnaire",
  "quiz_slug": "05_onde_stationnaire_quiz",
  "quiz_description": "Quiz Edu509 : Onde Stationnaire",
  "quiz_settings": {
    "time_limit": {
      "time_value": 0,
      "time_type": "minutes"
    },
    "hide_quiz_time_display": false,
    "attempts_allowed": 0,
    "passing_grade": 70,
    "max_questions_for_answer": 0,
    "questions_order": "rand",
    "hide_question_number_overview": false,
    "short_answer_characters_limit": 200
  },
  "questions": [
    {
      "question_order": 1,
      "question_title": "Sur une corde de longueur \\\\( 1{,}2 \\\\, \\\\mathrm{m} \\\\) fixée à ses deux extrémités, la distance entre deux nœuds consécutifs est \\\\( 0{,}6 \\\\, \\\\mathrm{m} \\\\). Quelle est la longueur d’onde de l’onde stationnaire ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La distance entre deux nœuds consécutifs est \\\\( d = \\\\frac{\\\\lambda}{2} \\\\). Donc \\\\( \\\\lambda = 2 \\\\times 0{,}6 = 1{,}2 \\\\, \\\\mathrm{m} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 1{,}2 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 0{,}6 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 2{,}4 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 0{,}3 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 2,
      "question_title": "Une corde de \\\\( 2{,}4 \\\\, \\\\mathrm{m} \\\\) vibre en onde stationnaire avec 3 nœuds (aux extrémités et au centre). La vitesse de propagation de l’onde est \\\\( 120 \\\\, \\\\mathrm{m/s} \\\\). Quelle est la fréquence de cette onde stationnaire ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Il y a 3 nœuds donc 2 segments, donc \\\\( n = 2 \\\\). \\\\( L = n \\\\frac{\\\\lambda}{2} \\\\Rightarrow \\\\lambda = 2{,}4 \\\\, \\\\mathrm{m} \\\\). \\\\( v = \\\\lambda f \\\\Rightarrow f = \\\\frac{120}{2{,}4} = 50 \\\\, \\\\mathrm{Hz} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 50 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 60 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 40 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 80 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 3,
      "question_title": "Une corde de \\\\( 1{,}5 \\\\, \\\\mathrm{m} \\\\) tendue entre deux points fixes vibre selon son troisième harmonique. La vitesse de propagation de l’onde est \\\\( 90 \\\\, \\\\mathrm{m/s} \\\\). Quelle est la longueur d’onde de ce mode ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Pour le troisième harmonique, \\\\( n = 3 \\\\). \\\\( L = n \\\\frac{\\\\lambda}{2} \\\\Rightarrow 1{,}5 = 3 \\\\times \\\\frac{\\\\lambda}{2} \\\\Rightarrow \\\\lambda = 1{,}0 \\\\, \\\\mathrm{m} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 1{,}0 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 0{,}5 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 1{,}5 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 3{,}0 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 4,
      "question_title": "Pour la même corde de \\\\( 1{,}5 \\\\, \\\\mathrm{m} \\\\) au troisième harmonique et \\\\( v = 90 \\\\, \\\\mathrm{m/s} \\\\), quelle est la fréquence correspondante ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La longueur d’onde est \\\\( 1{,}0 \\\\, \\\\mathrm{m} \\\\). \\\\( v = \\\\lambda f \\\\Rightarrow f = \\\\frac{90}{1{,}0} = 90 \\\\, \\\\mathrm{Hz} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 90 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 60 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 45 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 30 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 5,
      "question_title": "Sur une corde de \\\\( 2{,}0 \\\\, \\\\mathrm{m} \\\\) tendue entre deux points fixes, on observe une onde stationnaire avec 5 nœuds (y compris les extrémités). Combien y a-t-il de ventres ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Le nombre de ventres est égal au nombre de segments, soit nœuds - 1 = 4.",
      "answers": [
        {
          "answer_title": "4",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "5",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "3",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "2",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 6,
      "question_title": "Quelle est la condition de formation d’une onde stationnaire sur une corde fixe aux deux extrémités ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La condition de formation est \\\\( L = n \\\\frac{\\\\lambda}{2} \\\\) pour une corde fixe aux deux extrémités.",
      "answers": [
        {
          "answer_title": "\\\\( L = n \\\\frac{\\\\lambda}{2} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( L = n \\\\lambda \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( L = \\\\frac{\\\\lambda}{n} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( L = 2n\\\\lambda \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 7,
      "question_title": "Dans une onde stationnaire, quels sont les points où l’amplitude est maximale ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Les ventres sont les points où l’amplitude de vibration est maximale.",
      "answers": [
        {
          "answer_title": "Les ventres",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Les nœuds",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "Les extrémités",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "Le centre uniquement",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 8,
      "question_title": "Sur une corde de \\\\( 1{,}8 \\\\, \\\\mathrm{m} \\\\) tendue entre deux points fixes, on observe une onde stationnaire avec 2 ventres. La vitesse de l’onde est \\\\( 60 \\\\, \\\\mathrm{m/s} \\\\). Quelle est la fréquence de cette onde stationnaire ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Nombre de ventres = 2 donc \\\\( n = 2 \\\\). \\\\( L = n \\\\frac{\\\\lambda}{2} \\\\Rightarrow \\\\lambda = 1{,}8 \\\\, \\\\mathrm{m} \\\\). \\\\( v = \\\\lambda f \\\\Rightarrow f = \\\\frac{60}{1{,}8} = 33{,}3 \\\\, \\\\mathrm{Hz} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 33{,}3 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 60 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 90 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 15 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 9,
      "question_title": "Quelle est la distance entre deux nœuds consécutifs dans une onde stationnaire ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La distance entre deux nœuds consécutifs est \\\\( \\\\frac{\\\\lambda}{2} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( \\\\frac{\\\\lambda}{2} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( \\\\lambda \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 2\\\\lambda \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( \\\\frac{\\\\lambda}{4} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 10,
      "question_title": "Une corde de \\\\( 2{,}0 \\\\, \\\\mathrm{m} \\\\) vibre avec une onde stationnaire de vitesse \\\\( 80 \\\\, \\\\mathrm{m/s} \\\\) et 5 nœuds. Quelle est la fréquence correspondante ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Nombre de segments = 4 donc \\\\( n = 4 \\\\). \\\\( L = n \\\\frac{\\\\lambda}{2} \\\\Rightarrow \\\\lambda = 1{,}0 \\\\, \\\\mathrm{m} \\\\). \\\\( v = \\\\lambda f \\\\Rightarrow f = \\\\frac{80}{1{,}0} = 80 \\\\, \\\\mathrm{Hz} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 80 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 40 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 20 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 100 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 11,
      "question_title": "Dans une onde stationnaire, que se passe-t-il au niveau des nœuds ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Au niveau des nœuds, l’amplitude de vibration est nulle.",
      "answers": [
        {
          "answer_title": "L’amplitude est nulle",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "L’amplitude est maximale",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "La vitesse est maximale",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "La fréquence est nulle",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 12,
      "question_title": "Quelle est la formule de la fréquence du n-ième harmonique pour une corde fixe aux deux extrémités ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La fréquence du n-ième harmonique est \\\\( f_n = \\\\frac{n v}{2L} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( f_n = \\\\frac{n v}{2L} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( f_n = \\\\frac{v}{nL} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( f_n = \\\\frac{2n v}{L} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( f_n = \\\\frac{v}{2nL} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 13,
      "question_title": "Pour une corde de \\\\( 1{,}6 \\\\, \\\\mathrm{m} \\\\) avec 2 nœuds (aux extrémités) et 1 ventre, quelle est la longueur d’onde de l’onde stationnaire ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Pour le mode fondamental (1 ventre), \\\\( n = 1 \\\\). \\\\( L = n \\\\frac{\\\\lambda}{2} \\\\Rightarrow 1{,}6 = 1 \\\\times \\\\frac{\\\\lambda}{2} \\\\Rightarrow \\\\lambda = 3{,}2 \\\\, \\\\mathrm{m} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 3{,}2 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 1{,}6 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 0{,}8 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 2{,}0 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 14,
      "question_title": "Une corde de \\\\( 1{,}2 \\\\, \\\\mathrm{m} \\\\) vibre à son deuxième harmonique. Combien y a-t-il de nœuds ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Pour le deuxième harmonique, il y a \\\\( n + 1 = 3 \\\\) nœuds.",
      "answers": [
        {
          "answer_title": "3",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "2",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "4",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "1",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 15,
      "question_title": "Quelle est l’équation générale d’une onde stationnaire (déplacement en fonction de \\\\( x \\\\) et \\\\( t \\\\)) ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "L’équation générale d’une onde stationnaire est \\\\( y(x, t) = 2A \\\\sin(kx) \\\\cos(\\\\omega t) \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( y(x, t) = 2A \\\\sin(kx) \\\\cos(\\\\omega t) \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( y(x, t) = A \\\\cos(kx - \\\\omega t) \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( y(x, t) = A \\\\sin(kx + \\\\omega t) \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( y(x, t) = 2A \\\\cos(kx) \\\\sin(\\\\omega t) \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 16,
      "question_title": "Sur une corde de \\\\( 2{,}4 \\\\, \\\\mathrm{m} \\\\), la distance entre deux ventres consécutifs est \\\\( 1{,}2 \\\\, \\\\mathrm{m} \\\\). Quelle est la longueur d’onde ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "La distance entre deux ventres consécutifs est \\\\( \\\\frac{\\\\lambda}{2} \\\\), donc \\\\( \\\\lambda = 2 \\\\times 1{,}2 = 2{,}4 \\\\, \\\\mathrm{m} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 2{,}4 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 1{,}2 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 0{,}6 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 4{,}8 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 17,
      "question_title": "Dans une onde stationnaire, que peut-on dire du transfert d’énergie ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Dans une onde stationnaire, il n’y a pas de transfert net d’énergie le long du milieu.",
      "answers": [
        {
          "answer_title": "Il n’y a pas de transfert net d’énergie le long du milieu",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "Toute l’énergie est transférée d’un bout à l’autre",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "L’énergie ne varie jamais localement",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "L’énergie est nulle aux ventres",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 18,
      "question_title": "Pour une corde de \\\\( 1{,}0 \\\\, \\\\mathrm{m} \\\\) tendue, la vitesse de l’onde est \\\\( 50 \\\\, \\\\mathrm{m/s} \\\\). Quelle est la fréquence du mode fondamental ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Pour le mode fondamental, \\\\( n = 1 \\\\). \\\\( f_1 = \\\\frac{v}{2L} = \\\\frac{50}{2 \\\\times 1{,}0} = 25 \\\\, \\\\mathrm{Hz} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 25 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 50 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 100 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 10 \\\\, \\\\mathrm{Hz} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 19,
      "question_title": "Sur une corde de \\\\( 2{,}0 \\\\, \\\\mathrm{m} \\\\), la distance entre deux nœuds consécutifs est \\\\( 0{,}5 \\\\, \\\\mathrm{m} \\\\). Combien y a-t-il de segments (demi-longueurs d’onde) sur la corde ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Nombre de segments = \\\\( \\\\frac{L}{d} = \\\\frac{2{,}0}{0{,}5} = 4 \\\\).",
      "answers": [
        {
          "answer_title": "4",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "2",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "1",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "5",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    },
    {
      "question_order": 20,
      "question_title": "Pour une corde de \\\\( 1{,}2 \\\\, \\\\mathrm{m} \\\\) avec 3 ventres, quelle est la longueur d’onde de l’onde stationnaire ?",
      "question_type": "single_choice",
      "question_mark": 1,
      "answer_required": true,
      "randomize_question": false,
      "show_question_mark": true,
      "question_description": "",
      "question_explanation": "Nombre de ventres = 3 donc \\\\( n = 3 \\\\). \\\\( L = n \\\\frac{\\\\lambda}{2} \\\\Rightarrow \\\\lambda = \\\\frac{2 \\\\times 1{,}2}{3} = 0{,}8 \\\\, \\\\mathrm{m} \\\\).",
      "answers": [
        {
          "answer_title": "\\\\( 0{,}8 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": true,
          "answer_order": 1
        },
        {
          "answer_title": "\\\\( 1{,}2 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 2
        },
        {
          "answer_title": "\\\\( 2{,}4 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 3
        },
        {
          "answer_title": "\\\\( 0{,}4 \\\\, \\\\mathrm{m} \\\\)",
          "is_correct": false,
          "answer_order": 4
        }
      ]
    }
  ]
}