{
  "schema_version": 1,
  "id": "physics-ms-official-sample-01",
  "subject": "physics",
  "exam_type": "milliy_sertifikat",
  "title": "Fizika Milliy sertifikat — BMBA namunaviy test",
  "source_title": "Fizika fanidan namunaviy test topshiriqlari",
  "source_disclosure": "BMBA rasmiy namunaviy topshiriqlari interaktiv shaklga o‘tkazildi. Rasmiy PDFda javob kaliti berilmagan; javoblar UzbekEdu tomonidan fizik hisob-kitob bilan tekshirildi. 13-savoldagi mazmuniy xato izoh bilan tuzatildi.",
  "solution_url": "/assets/data/physics-ms/physics_ms_official_sample_01_solutions.json",
  "source_author": "Bilim va malakalarni baholash agentligi (BMBA)",
  "source_url": "https://www.uzbmb.uz/upload/file/pdf/milliytest/Fizika_uz.pdf",
  "total_questions": 45,
  "automatically_graded_questions": 45,
  "scored_elements": 55,
  "duration_minutes": 150,
  "questions": [
    {
      "number": 1,
      "topic": "kinematika",
      "prompt_uz": "Avtomobilning boshlang‘ich tezligi 10 m/s, tezlanishi −2 m/s² ga teng. U qancha masofa bosib o‘tib to‘xtaydi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 1
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "25 m"
        },
        {
          "label": "B",
          "text": "100 m"
        },
        {
          "label": "C",
          "text": "20 m"
        },
        {
          "label": "D",
          "text": "50 m"
        }
      ],
      "answer_display": "A) 25 m"
    },
    {
      "number": 2,
      "topic": "dinamika",
      "prompt_uz": "Silliq gorizontal sirtda turgan 5 kg massali jismga 20 N va 55 N kuchlar ta’sir qilmoqda. Jismning minimal tezlanishini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 2
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4 m/s²"
        },
        {
          "label": "B",
          "text": "7 m/s²"
        },
        {
          "label": "C",
          "text": "11 m/s²"
        },
        {
          "label": "D",
          "text": "15 m/s²"
        }
      ],
      "answer_display": "B) 7 m/s²"
    },
    {
      "number": 3,
      "topic": "mexanik energiya",
      "prompt_uz": "7200 m balandlikda 216 km/h doimiy tezlik bilan uchayotgan samolyotning potensial energiyasi kinetik energiyasidan necha marta katta?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 3
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "30"
        },
        {
          "label": "B",
          "text": "20"
        },
        {
          "label": "C",
          "text": "10"
        },
        {
          "label": "D",
          "text": "40"
        }
      ],
      "answer_display": "D) 40"
    },
    {
      "number": 4,
      "topic": "kinematika grafigi",
      "prompt_uz": "Grafikning BC qismida jism bosib o‘tgan masofani toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/official-sample/q04-velocity-time.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 4
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "475 m"
        },
        {
          "label": "B",
          "text": "337,5 m"
        },
        {
          "label": "C",
          "text": "425,5 m"
        },
        {
          "label": "D",
          "text": "400 m"
        }
      ],
      "answer_display": "B) 337,5 m"
    },
    {
      "number": 5,
      "topic": "ishqalanish",
      "prompt_uz": "Tormoz bergan avtomobil asfaltda 25 m iz qoldirib to‘xtagan. G‘ildirak bilan asfalt orasidagi ishqalanish koeffitsiyenti 0,45 bo‘lsa, dastlabki tezlikni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 5
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "18 m/s"
        },
        {
          "label": "B",
          "text": "17 m/s"
        },
        {
          "label": "C",
          "text": "16 m/s"
        },
        {
          "label": "D",
          "text": "15 m/s"
        }
      ],
      "answer_display": "D) 15 m/s"
    },
    {
      "number": 6,
      "topic": "aylana bo‘ylab harakat",
      "prompt_uz": "1,2 m uzunlikdagi chilvirga bog‘langan 0,9 kg massali shar vertikal tekislikda aylantirilmoqda. Pastki nuqtada tezlik 4 m/s bo‘lsa, chilvir tarangligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 6
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "3 N"
        },
        {
          "label": "B",
          "text": "9 N"
        },
        {
          "label": "C",
          "text": "21 N"
        },
        {
          "label": "D",
          "text": "19 N"
        }
      ],
      "answer_display": "C) 21 N"
    },
    {
      "number": 7,
      "topic": "Nyuton qonunlari",
      "prompt_uz": "Rasmda vaznsiz bloklarga m va 2m massali sharchalar osilgan. A sharcha g/2 tezlanish bilan yuqoriga, B sharcha g/2 tezlanish bilan pastga harakatlanmoqda. F₁/F₂ nisbatni toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/official-sample/q07-pulleys.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 7
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1"
        },
        {
          "label": "B",
          "text": "1/3"
        },
        {
          "label": "C",
          "text": "3"
        },
        {
          "label": "D",
          "text": "3/2"
        }
      ],
      "answer_display": "D) 3/2"
    },
    {
      "number": 8,
      "topic": "bosim",
      "prompt_uz": "Har bir granit ustunning hajmi 9 m³, asosining yuzi 1,4 m². Granit zichligi 2800 kg/m³. Bitta ustun o‘z og‘irligi ta’sirida poydevorga qancha bosim beradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 8
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "160 kPa"
        },
        {
          "label": "B",
          "text": "200 kPa"
        },
        {
          "label": "C",
          "text": "180 kPa"
        },
        {
          "label": "D",
          "text": "220 kPa"
        }
      ],
      "answer_display": "C) 180 kPa"
    },
    {
      "number": 9,
      "topic": "suyuqliklar mexanikasi",
      "prompt_uz": "Suv sirtidan 5 m balandda quvvatli so‘ruvchi nasos o‘rnatilgan. Nasos ishlaganda quvurdagi suvning maksimal tezligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 9
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "8 m/s"
        },
        {
          "label": "B",
          "text": "6 m/s"
        },
        {
          "label": "C",
          "text": "10 m/s"
        },
        {
          "label": "D",
          "text": "9 m/s"
        }
      ],
      "answer_display": "C) 10 m/s"
    },
    {
      "number": 10,
      "topic": "to‘lqinlar",
      "prompt_uz": "Suv sirtidagi to‘lqinning 1- va 3-do‘ngliklari orasidagi masofa 20 cm, tarqalish tezligi 0,1 m/s. Tebranish davrini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 10
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1,2 s"
        },
        {
          "label": "B",
          "text": "0,2 s"
        },
        {
          "label": "C",
          "text": "0,5 s"
        },
        {
          "label": "D",
          "text": "1 s"
        }
      ],
      "answer_display": "D) 1 s"
    },
    {
      "number": 11,
      "topic": "molekulyar fizika",
      "prompt_uz": "Ideal gazning bosimi 2,5·10⁵ Pa, zichligi 12 kg/m³. Gaz molekulalarining o‘rtacha kvadratik tezligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 11
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "160 m/s"
        },
        {
          "label": "B",
          "text": "250 m/s"
        },
        {
          "label": "C",
          "text": "300 m/s"
        },
        {
          "label": "D",
          "text": "200 m/s"
        }
      ],
      "answer_display": "B) 250 m/s"
    },
    {
      "number": 12,
      "topic": "issiqlik sig‘imi",
      "prompt_uz": "0,4 kg massali alyuminiyning issiqlik sig‘imini aniqlang.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 12
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "900 J/K"
        },
        {
          "label": "B",
          "text": "360 J/K"
        },
        {
          "label": "C",
          "text": "640 J/K"
        },
        {
          "label": "D",
          "text": "420 J/K"
        }
      ],
      "answer_display": "B) 360 J/K"
    },
    {
      "number": 13,
      "topic": "ideal gaz",
      "prompt_uz": "Yopiq idishdagi ozon O₃ 727 °C da turibdi. Barcha ozon kislorod O₂ ga aylangach temperatura 600 °C bo‘ldi. Idishdagi bosim qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 13
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "60% kamayadi"
        },
        {
          "label": "B",
          "text": "50% kamayadi"
        },
        {
          "label": "C",
          "text": "30% ortadi"
        },
        {
          "label": "D",
          "text": "40% kamayadi"
        }
      ],
      "answer_display": "C) taxminan 30% ortadi",
      "editorial_note": "Rasmiy PDF savolida ‘kamayganligini’ deb yozilgan, ammo 2O₃→3O₂ va Kelvin shkalasi bo‘yicha bosim taxminan 31% ortadi. C varianti mazmunga mos ravishda tuzatildi."
    },
    {
      "number": 14,
      "topic": "termodinamika",
      "prompt_uz": "Asos yuzi 1 dm² bo‘lgan vertikal silindrda 20 kg massali porshen ostida geliy bor. Izobarik qizdirilganda porshen 30 cm ko‘tarildi. Gaz bajargan ishni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 14
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "540 J"
        },
        {
          "label": "B",
          "text": "360 J"
        },
        {
          "label": "C",
          "text": "480 J"
        },
        {
          "label": "D",
          "text": "240 J"
        }
      ],
      "answer_display": "B) 360 J"
    },
    {
      "number": 15,
      "topic": "namlik",
      "prompt_uz": "19 °C temperaturali 5 m³ havoda 34,5 g suv bug‘i bor. Jadval bo‘yicha 19 °C dagi to‘yingan bug‘ zichligi 16,3 g/m³. Havo to‘yinishi uchun qancha suv bug‘latish kerak?",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/official-sample/q15-saturation-table.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 15
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "43 g"
        },
        {
          "label": "B",
          "text": "47 g"
        },
        {
          "label": "C",
          "text": "41 g"
        },
        {
          "label": "D",
          "text": "45 g"
        }
      ],
      "answer_display": "B) 47 g"
    },
    {
      "number": 16,
      "topic": "elektr maydon",
      "prompt_uz": "Zaryadli jismga ta’sir etuvchi ikki kuchning natijaviysi 32 mN va gorizontal yo‘nalgan. Og‘irlik kuchi 24 mN bo‘lsa, elektr maydon ta’sirining modulini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 16
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "56 mN"
        },
        {
          "label": "B",
          "text": "12 mN"
        },
        {
          "label": "C",
          "text": "64 mN"
        },
        {
          "label": "D",
          "text": "40 mN"
        }
      ],
      "answer_display": "D) 40 mN"
    },
    {
      "number": 17,
      "topic": "doimiy tok",
      "prompt_uz": "Reostatning surgichi chapga surilsa, ampermetr ko‘rsatishi qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/official-sample/q17-rheostat.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 17
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "o‘zgarmaydi"
        },
        {
          "label": "B",
          "text": "kamayadi"
        },
        {
          "label": "C",
          "text": "ortadi"
        },
        {
          "label": "D",
          "text": "nolga teng bo‘ladi"
        }
      ],
      "answer_display": "C) ortadi"
    },
    {
      "number": 18,
      "topic": "elektromagnit tebranish",
      "prompt_uz": "200 m to‘lqin uzunligida ishlaydigan radiostansiyani eshitish uchun 6 MHz ga sozlangan radiopriyomnik sxemasidagi sig‘imni qanday o‘zgartirish kerak?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 18
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4 marta kamaytirish"
        },
        {
          "label": "B",
          "text": "16 marta oshirish"
        },
        {
          "label": "C",
          "text": "16 marta kamaytirish"
        },
        {
          "label": "D",
          "text": "4 marta oshirish"
        }
      ],
      "answer_display": "B) 16 marta oshirish"
    },
    {
      "number": 19,
      "topic": "kondensator",
      "prompt_uz": "Sig‘imi C bo‘lgan yassi havo kondensatoriga dielektrik singdiruvchanligi ε bo‘lgan modda kiritildi. Unga Cₓ kondensator ketma-ket ulanganda umumiy sig‘im C/2 bo‘ldi. Cₓ ni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 19
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "εC/(2ε−1)"
        },
        {
          "label": "B",
          "text": "2εC/(ε−2)"
        },
        {
          "label": "C",
          "text": "εC/(ε−1)"
        },
        {
          "label": "D",
          "text": "2εC/(ε−1)"
        }
      ],
      "answer_display": "A) εC/(2ε−1)"
    },
    {
      "number": 20,
      "topic": "elektrostatika",
      "prompt_uz": "Zaryadlari 3·10⁻⁸ C bo‘lgan ikkita nuqtaviy zaryad orasidagi masofa 50 cm dan 10 cm gacha kamaytirildi. Bajarilgan ishni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 20
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "32,4 μJ"
        },
        {
          "label": "B",
          "text": "8 μJ"
        },
        {
          "label": "C",
          "text": "4 μJ"
        },
        {
          "label": "D",
          "text": "64,8 μJ"
        }
      ],
      "answer_display": "D) 64,8 μJ"
    },
    {
      "number": 21,
      "topic": "tok manbai",
      "prompt_uz": "Tok manbaining EYuKi 6 V, ichki qarshiligi 1/4 Ω. Zanjirdagi tok 2 A bo‘lsa, qutblardagi kuchlanishni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 21
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "6,5 V"
        },
        {
          "label": "B",
          "text": "7 V"
        },
        {
          "label": "C",
          "text": "5,5 V"
        },
        {
          "label": "D",
          "text": "5 V"
        }
      ],
      "answer_display": "C) 5,5 V"
    },
    {
      "number": 22,
      "topic": "qarshilik",
      "prompt_uz": "Alyuminiy simning 0 °C dagi qarshiligi 3,5 Ω. α=0,0028 K⁻¹. 200 °C da qarshilik qanchaga ortadi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 22
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1,87 Ω"
        },
        {
          "label": "B",
          "text": "1,96 Ω"
        },
        {
          "label": "C",
          "text": "2,12 Ω"
        },
        {
          "label": "D",
          "text": "3,14 Ω"
        }
      ],
      "answer_display": "B) 1,96 Ω"
    },
    {
      "number": 23,
      "topic": "magnit maydon",
      "prompt_uz": "O‘lchamlari 2 cm va 3 cm bo‘lgan to‘g‘ri to‘rtburchak ramka induksiyasi 10 T bo‘lgan magnit maydonda turibdi. Ramkadan 2 A tok o‘tganda maksimal kuch momentini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 23
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "96 mN·m"
        },
        {
          "label": "B",
          "text": "12 mN·m"
        },
        {
          "label": "C",
          "text": "48 mN·m"
        },
        {
          "label": "D",
          "text": "24 mN·m"
        }
      ],
      "answer_display": "B) 12 mN·m"
    },
    {
      "number": 24,
      "topic": "Lorens kuchi",
      "prompt_uz": "Elektron magnit maydonda y o‘qi bo‘ylab harakatlanmoqda. Lorens kuchi x o‘qiga qarshi yo‘nalgan bo‘lsa, magnit maydon yo‘nalishini aniqlang.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 24
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "x o‘qi bo‘ylab"
        },
        {
          "label": "B",
          "text": "z o‘qi bo‘ylab"
        },
        {
          "label": "C",
          "text": "y o‘qiga qarshi"
        },
        {
          "label": "D",
          "text": "z o‘qiga qarshi"
        }
      ],
      "answer_display": "B) z o‘qi bo‘ylab"
    },
    {
      "number": 25,
      "topic": "o‘zgaruvchan tok",
      "prompt_uz": "8 Ω aktiv, 9 Ω sig‘im va 3 Ω induktiv qarshiliklar ketma-ket ulangan. Effektiv kuchlanish 140 V. Zanjirdagi foydali quvvatni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 25
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1568 W"
        },
        {
          "label": "B",
          "text": "1960 W"
        },
        {
          "label": "C",
          "text": "1764 W"
        },
        {
          "label": "D",
          "text": "588 W"
        }
      ],
      "answer_display": "A) 1568 W"
    },
    {
      "number": 26,
      "topic": "optika",
      "prompt_uz": "To‘lqin uzunligi λ bo‘lgan nur optik zichligi 4/3 bo‘lgan suyuqlikka tushib sinadi. Nurning chastotasi qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 26
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "25% ortadi"
        },
        {
          "label": "B",
          "text": "25% kamayadi"
        },
        {
          "label": "C",
          "text": "o‘zgarmaydi"
        },
        {
          "label": "D",
          "text": "33% ortadi"
        }
      ],
      "answer_display": "C) o‘zgarmaydi"
    },
    {
      "number": 27,
      "topic": "linza",
      "prompt_uz": "Linza o‘zidan 40 cm masofadagi buyumning 2 marta kichiklashgan mavhum tasvirini hosil qildi. Linzaning optik kuchini aniqlang.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 27
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2,5 dptr"
        },
        {
          "label": "B",
          "text": "−2,5 dptr"
        },
        {
          "label": "C",
          "text": "−7,5 dptr"
        },
        {
          "label": "D",
          "text": "7,5 dptr"
        }
      ],
      "answer_display": "B) −2,5 dptr"
    },
    {
      "number": 28,
      "topic": "nisbiylik",
      "prompt_uz": "Harakatdagi jismning massasi m=(5/3)m₀. Jismning tezligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 28
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "0,4c"
        },
        {
          "label": "B",
          "text": "0,5c"
        },
        {
          "label": "C",
          "text": "0,6c"
        },
        {
          "label": "D",
          "text": "0,8c"
        }
      ],
      "answer_display": "D) 0,8c"
    },
    {
      "number": 29,
      "topic": "yadro fizikasi",
      "prompt_uz": "²⁰⁹₈₄Po yadrosining tarkibini aniqlang.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 29
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "84 ta elektron, 209 ta neytron"
        },
        {
          "label": "B",
          "text": "84 ta elektron, 125 ta neytron"
        },
        {
          "label": "C",
          "text": "125 ta neytron, 84 ta proton"
        },
        {
          "label": "D",
          "text": "209 ta nuklon, 84 ta neytron"
        }
      ],
      "answer_display": "C) 125 ta neytron, 84 ta proton"
    },
    {
      "number": 30,
      "topic": "fotoeffekt",
      "prompt_uz": "Qizil chegarasi ν bo‘lgan metallga 5ν, qizil chegarasi 2ν bo‘lgan metallga 4ν chastotali fotonlar tushmoqda. Fotoelektronlar maksimal kinetik energiyalari E₁ va E₂ bo‘lsa, E₁/E₂ ni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 30
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "5/4"
        },
        {
          "label": "B",
          "text": "2"
        },
        {
          "label": "C",
          "text": "5/2"
        },
        {
          "label": "D",
          "text": "1/2"
        }
      ],
      "answer_display": "B) 2"
    },
    {
      "number": 31,
      "topic": "atom fizikasi",
      "prompt_uz": "Vodorod atomidagi elektron 4-kvant holatidan 2-kvant holatiga o‘tdi. Nurlangan foton energiyasini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 31
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2,55 eV"
        },
        {
          "label": "B",
          "text": "4,15 eV"
        },
        {
          "label": "C",
          "text": "6,82 eV"
        },
        {
          "label": "D",
          "text": "12,38 eV"
        }
      ],
      "answer_display": "A) 2,55 eV"
    },
    {
      "number": 32,
      "topic": "o‘lchash xatoligi",
      "prompt_uz": "Arqon uzunligi l=(17,2±0,005) m deb o‘lchandi. O‘lchovning nisbiy xatoligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 32
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "0,06%"
        },
        {
          "label": "B",
          "text": "0,05%"
        },
        {
          "label": "C",
          "text": "0,04%"
        },
        {
          "label": "D",
          "text": "0,03%"
        }
      ],
      "answer_display": "D) 0,03%"
    },
    {
      "number": 33,
      "topic": "termodinamika sikli",
      "prompt_uz": "Gazning bir siklda bajargan ishini toping.",
      "context_uz": "Grafikda bir atomli ideal gazning 1→2→3→1 o‘tishi tasvirlangan. Javob variantlari: A) 11,5P₀V₀; B) 8,5P₀V₀; C) 12P₀V₀; D) 6P₀V₀; E) 10P₀V₀; F) 2P₀V₀.",
      "diagram": "/assets/images/physics-ms/official-sample/q33-35-pv-cycle.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 33
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "11,5P₀V₀"
        },
        {
          "label": "B",
          "text": "8,5P₀V₀"
        },
        {
          "label": "C",
          "text": "12P₀V₀"
        },
        {
          "label": "D",
          "text": "6P₀V₀"
        },
        {
          "label": "E",
          "text": "10P₀V₀"
        },
        {
          "label": "F",
          "text": "2P₀V₀"
        }
      ],
      "answer_display": "D) 6P₀V₀"
    },
    {
      "number": 34,
      "topic": "termodinamika sikli",
      "prompt_uz": "1→2 o‘tishda gaz qancha issiqlik chiqargan?",
      "context_uz": "Grafikda bir atomli ideal gazning 1→2→3→1 o‘tishi tasvirlangan. Javob variantlari: A) 11,5P₀V₀; B) 8,5P₀V₀; C) 12P₀V₀; D) 6P₀V₀; E) 10P₀V₀; F) 2P₀V₀.",
      "diagram": "/assets/images/physics-ms/official-sample/q33-35-pv-cycle.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 34
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "E"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "11,5P₀V₀"
        },
        {
          "label": "B",
          "text": "8,5P₀V₀"
        },
        {
          "label": "C",
          "text": "12P₀V₀"
        },
        {
          "label": "D",
          "text": "6P₀V₀"
        },
        {
          "label": "E",
          "text": "10P₀V₀"
        },
        {
          "label": "F",
          "text": "2P₀V₀"
        }
      ],
      "answer_display": "E) 10P₀V₀"
    },
    {
      "number": 35,
      "topic": "termodinamika sikli",
      "prompt_uz": "3→1 o‘tishda gazga qancha issiqlik miqdori berilgan?",
      "context_uz": "Grafikda bir atomli ideal gazning 1→2→3→1 o‘tishi tasvirlangan. Javob variantlari: A) 11,5P₀V₀; B) 8,5P₀V₀; C) 12P₀V₀; D) 6P₀V₀; E) 10P₀V₀; F) 2P₀V₀.",
      "diagram": "/assets/images/physics-ms/official-sample/q33-35-pv-cycle.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 35
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "11,5P₀V₀"
        },
        {
          "label": "B",
          "text": "8,5P₀V₀"
        },
        {
          "label": "C",
          "text": "12P₀V₀"
        },
        {
          "label": "D",
          "text": "6P₀V₀"
        },
        {
          "label": "E",
          "text": "10P₀V₀"
        },
        {
          "label": "F",
          "text": "2P₀V₀"
        }
      ],
      "answer_display": "A) 11,5P₀V₀"
    },
    {
      "number": 36,
      "topic": "kinematika",
      "prompt_uz": "175 m balandlikdan boshlang‘ich tezlik bilan erkin tashlangan jism 2-sekundda 25 m yo‘l o‘tdi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 36
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Boshlang‘ich tezlikni (m/s) toping.",
            "accepted": [
              "10",
              "10 m/s"
            ],
            "answer_display": "10 m/s"
          },
          {
            "key": "b",
            "prompt": "Dastlabki 4 s da bosib o‘tgan masofani (m) toping.",
            "accepted": [
              "120",
              "120 m"
            ],
            "answer_display": "120 m"
          }
        ]
      },
      "answer_display": "a) 10 m/s; b) 120 m"
    },
    {
      "number": 37,
      "topic": "gravitatsiya va mayatnik",
      "prompt_uz": "Yer sirtida uzunligi 0,5 m bo‘lgan matematik mayatnik massasi ham, radiusi ham Yernikidan 2 marta katta Y sayyoraga ko‘chirildi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 37
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Y sayyora sirtidagi erkin tushish tezlanishini (N/kg) aniqlang.",
            "accepted": [
              "5",
              "5 N/kg"
            ],
            "answer_display": "5 N/kg"
          },
          {
            "key": "b",
            "prompt": "Y sayyorada mayatnik 5 m/s² tezlanish bilan yuqoriga harakatlangandagi davrining Yerda tekis ko‘tarilgandagi davriga nisbatini toping.",
            "accepted": [
              "1"
            ],
            "answer_display": "1"
          }
        ]
      },
      "answer_display": "a) 5 N/kg; b) 1"
    },
    {
      "number": 38,
      "topic": "Atvud mashinasi",
      "prompt_uz": "Vaznsiz qo‘zg‘almas blokdan o‘tgan ip uchlariga og‘irliklari P va 20 N bo‘lgan yuklar osilgan. 20 N yuk 2,5 s da tinch holatdan 6,25 m pastga tushdi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 38
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Yuklarning tezlanishini (m/s²) toping.",
            "accepted": [
              "2",
              "2 m/s²"
            ],
            "answer_display": "2 m/s²"
          },
          {
            "key": "b",
            "prompt": "Harakat vaqtida blok o‘qiga ta’sir etuvchi kuchni (N) toping.",
            "accepted": [
              "32",
              "32 N"
            ],
            "answer_display": "32 N"
          }
        ]
      },
      "answer_display": "a) 2 m/s²; b) 32 N"
    },
    {
      "number": 39,
      "topic": "namlik",
      "prompt_uz": "400 l yopiq idishda 27 °C temperaturali to‘yinmagan havo bor. 2 g suv bug‘latilganda bug‘ to‘yingan holatga o‘tadi. To‘yingan bug‘ning parsial bosimi 3,6 kPa.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 39
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Dastlabki havoning absolyut namligini (g/m³) toping.",
            "accepted": [
              "21",
              "21 g/m3",
              "21 g/m³"
            ],
            "answer_display": "21 g/m³"
          },
          {
            "key": "b",
            "prompt": "Dastlabki havoning nisbiy namligini (%) toping.",
            "accepted": [
              "80.8",
              "80,8",
              "81",
              "81%",
              "80.8%"
            ],
            "answer_display": "≈80,8%"
          }
        ]
      },
      "answer_display": "a) 21 g/m³; b) ≈80,8%"
    },
    {
      "number": 40,
      "topic": "termodinamika",
      "prompt_uz": "Bir atomli ideal gazga 6 kJ issiqlik berildi. Jarayonda V=k√T qonuniyat bajariladi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 40
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Gaz bajargan ishni (J) toping.",
            "accepted": [
              "1500",
              "1500 J",
              "1.5 kJ",
              "1,5 kJ"
            ],
            "answer_display": "1500 J"
          },
          {
            "key": "b",
            "prompt": "Ichki energiya qanchaga (kJ) ortishini toping.",
            "accepted": [
              "4.5",
              "4,5",
              "4.5 kJ",
              "4,5 kJ",
              "4500 J"
            ],
            "answer_display": "4,5 kJ"
          }
        ]
      },
      "answer_display": "a) 1500 J; b) 4,5 kJ"
    },
    {
      "number": 41,
      "topic": "energiya",
      "prompt_uz": "1200 kg massali elektromobil akkumulyatorining EYuKi 400 V. Elektromobil tezligini 30 m/s dan 5 m/s gacha kamaytirdi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 41
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Akkumulyatorda to‘plangan energiyani (kJ) toping.",
            "accepted": [
              "525",
              "525 kJ"
            ],
            "answer_display": "525 kJ"
          },
          {
            "key": "b",
            "prompt": "Akkumulyatorda to‘plangan zaryadni (kC) toping.",
            "accepted": [
              "1.3125",
              "1,3125",
              "1.31",
              "1,31",
              "1.3125 kC",
              "1,3125 kC"
            ],
            "answer_display": "1,3125 kC"
          }
        ]
      },
      "answer_display": "a) 525 kJ; b) 1,3125 kC"
    },
    {
      "number": 42,
      "topic": "o‘zgaruvchan tok",
      "prompt_uz": "Sxemada R=60 Ω, L=0,2 H va u=160sin400t [V].",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/official-sample/q42-rl-circuit.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 42
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Kalit a vaziyatda bo‘lganda ampermetr ko‘rsatishini (A) toping.",
            "accepted": [
              "1.89",
              "1,89",
              "4sqrt2/3",
              "4√2/3"
            ],
            "answer_display": "4√2/3 A ≈ 1,89 A"
          },
          {
            "key": "b",
            "prompt": "Kalit b vaziyatda bo‘lganda ampermetr ko‘rsatishini (A) toping.",
            "accepted": [
              "1.13",
              "1,13",
              "4sqrt2/5",
              "4√2/5"
            ],
            "answer_display": "4√2/5 A ≈ 1,13 A"
          }
        ]
      },
      "answer_display": "a) 4√2/3 A ≈ 1,89 A; b) 4√2/5 A ≈ 1,13 A"
    },
    {
      "number": 43,
      "topic": "geometrik optika",
      "prompt_uz": "Linza yordamida a buyumning 5/4 marta kattalashgan b mavhum tasviri hosil qilindi. Buyum va tasvir orasidagi masofa 2 cm.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/official-sample/q43-lens.png",
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 43
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Linzaning optik kuchini (dptr) toping.",
            "accepted": [
              "2.5",
              "2,5",
              "2.5 dptr",
              "2,5 dptr"
            ],
            "answer_display": "2,5 dptr"
          },
          {
            "key": "b",
            "prompt": "Buyum linzaga 3 cm yaqinlashtirilsa, kattalashtirishni toping.",
            "accepted": [
              "8/7",
              "1.142857",
              "1,142857"
            ],
            "answer_display": "8/7"
          }
        ]
      },
      "answer_display": "a) 2,5 dptr; b) 8/7"
    },
    {
      "number": 44,
      "topic": "nisbiylik",
      "prompt_uz": "Zarra 0,5c tezlik bilan harakatlangandagi massasi m/√3 ga teng.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 44
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Zarraning tinchlikdagi massasini toping.",
            "accepted": [
              "m/2",
              "0.5m",
              "0,5m"
            ],
            "answer_display": "m/2"
          },
          {
            "key": "b",
            "prompt": "Zarra 0,6c tezlik bilan harakatlangandagi kinetik energiyasini toping.",
            "accepted": [
              "mc2/8",
              "mc²/8",
              "m c2/8",
              "m c²/8"
            ],
            "answer_display": "mc²/8"
          }
        ]
      },
      "answer_display": "a) m/2; b) mc²/8"
    },
    {
      "number": 45,
      "topic": "Bor atomi",
      "prompt_uz": "G‘alayonlangan vodorod atomining ionlashish energiyasi 3,4 eV.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "BMBA_SAMPLE",
        "source_question_no": 45
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Atom foton yutib impuls momentini ℏ ga oshirsa, yangi ionlashish energiyasini (eV) toping.",
            "accepted": [
              "1.51",
              "1,51",
              "1.5",
              "1,5",
              "13.6/9",
              "13,6/9"
            ],
            "answer_display": "13,6/9 eV ≈ 1,51 eV"
          },
          {
            "key": "b",
            "prompt": "Dastlabki atom foton nurlatib impuls momentini ℏ ga kamaytirsa, yangi ionlashish energiyasini (eV) toping.",
            "accepted": [
              "13.6",
              "13,6",
              "13.6 eV",
              "13,6 eV"
            ],
            "answer_display": "13,6 eV"
          }
        ]
      },
      "answer_display": "a) 13,6/9 eV ≈ 1,51 eV; b) 13,6 eV"
    }
  ]
}