{
  "schema_version": 1,
  "id": "physics-ms-source-mock-02",
  "title": "Fizika Milliy sertifikat — Test 2",
  "subject": "physics",
  "exam_type": "milliy-sertifikat",
  "duration_minutes": 150,
  "total_questions": 45,
  "scored_elements": 55,
  "automatically_graded_questions": 45,
  "solution_url": "/assets/data/physics-ms/physics_ms_source_mock_02_solutions.json",
  "source_title": "13.05.2025 savollari asosidagi manbali rekonstruksiya",
  "source_author": "Sobirov Ulug‘bek va ochiq manba rekonstruksiyalari",
  "source_date": "2025-05-13",
  "source_disclosure": "Post-exam rekonstruksiya: rasmiy BMBA original blanki emas. Savollar manba materiallaridan tiklangan va BMBA mavzu-slot tartibiga manba savollarining o‘zi qayta joylangan; yangi savol tuzilmagan. Fizik xatolar tekshirilgan, chizmalar watermarksiz qayta chizilgan.",
  "questions": [
    {
      "number": 1,
      "topic": "simple_harmonic_motion",
      "prompt_uz": "x=Acos(ωt) qonun bilan garmonik tebranayotgan jismning tezlik tenglamasini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 1,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "Aωcos(ωt)"
        },
        {
          "label": "B",
          "text": "Aωsin(ωt)"
        },
        {
          "label": "C",
          "text": "−Aωsin(ωt)"
        },
        {
          "label": "D",
          "text": "Asin(ωt)"
        }
      ],
      "answer_display": "C) −Aωsin(ωt)"
    },
    {
      "number": 2,
      "topic": "friction_braking",
      "prompt_uz": "Avtomobil shinalari bilan yo‘l orasidagi ishqalanish koeffitsiyenti 4 marta ortsa, bir xil boshlang‘ich tezlikdagi tormozlanish yo‘li qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 3,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4 marta ortadi"
        },
        {
          "label": "B",
          "text": "4 marta kamayadi"
        },
        {
          "label": "C",
          "text": "16 marta ortadi"
        },
        {
          "label": "D",
          "text": "16 marta kamayadi"
        }
      ],
      "answer_display": "B) 4 marta kamayadi"
    },
    {
      "number": 3,
      "topic": "kinematics",
      "prompt_uz": "Jism x=−10+12t−2t² (m) qonun bo‘yicha harakat qiladi. To‘xtaguncha bosib o‘tgan yo‘lini toping (m).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 4,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "72"
        },
        {
          "label": "B",
          "text": "144"
        },
        {
          "label": "C",
          "text": "18"
        },
        {
          "label": "D",
          "text": "36"
        }
      ],
      "answer_display": "C) 18 m"
    },
    {
      "number": 4,
      "topic": "newtons_second_law",
      "prompt_uz": "Bir xil F kuch m₁ jismga 6 m/s², m₂ jismga 2 m/s² tezlanish beradi. Shu F kuch (m₂−m₁) massali jismga qanday tezlanish beradi (m/s²)?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 6,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "3"
        },
        {
          "label": "B",
          "text": "2"
        },
        {
          "label": "C",
          "text": "4"
        },
        {
          "label": "D",
          "text": "1"
        }
      ],
      "answer_display": "A) 3 m/s²"
    },
    {
      "number": 5,
      "topic": "oscillation_period",
      "prompt_uz": "Tebranish chastotasi 200 Hz bo‘lgan jismning tebranish davrini toping (ms).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "TV FIZIKA / Shavkat Azimov — May 2025 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 8,
        "source_type": "post_exam_reedited_reconstruction"
      },
      "editorial_note": "Manbadagi takror javob variantlari boshqa ishonchli rekonstruksiya bilan tiklangan.",
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "5"
        },
        {
          "label": "B",
          "text": "50"
        },
        {
          "label": "C",
          "text": "0.005"
        },
        {
          "label": "D",
          "text": "0.05"
        }
      ],
      "answer_display": "A) 5 ms"
    },
    {
      "number": 6,
      "topic": "piecewise_motion",
      "prompt_uz": "Jism tinch holatdan harakat boshlaydi: 5 s da 7.5 m yuradi, so‘ng 12 s tekis harakat qiladi, keyin 6 s tekis sekinlanib to‘xtaydi. Oxirgi 12 s dagi o‘rtacha tezlikni toping (m/s).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 9,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4"
        },
        {
          "label": "B",
          "text": "2.5"
        },
        {
          "label": "C",
          "text": "3"
        },
        {
          "label": "D",
          "text": "2.25"
        }
      ],
      "answer_display": "D) 2.25 m/s"
    },
    {
      "number": 7,
      "topic": "statics_moment",
      "prompt_uz": "Rasmda m=2 kg, OA=1.5 m sterjen muvozanatda. sinα=0.8. F kuchning O nuqtaga nisbatan momentini toping (N·m).",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-02/q24-rod-moment.svg",
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 24,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "6"
        },
        {
          "label": "B",
          "text": "18"
        },
        {
          "label": "C",
          "text": "9"
        },
        {
          "label": "D",
          "text": "12"
        }
      ],
      "answer_display": "D) 12 N·m"
    },
    {
      "number": 8,
      "topic": "orbital_mechanics",
      "prompt_uz": "Yer sirtidan 6400 km balandlikda aylana orbitada harakatlanayotgan 4 kg jismning kinetik energiyasini toping (MJ).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 26,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "64"
        },
        {
          "label": "B",
          "text": "128"
        },
        {
          "label": "C",
          "text": "32"
        },
        {
          "label": "D",
          "text": "16"
        }
      ],
      "answer_display": "A) 64 MJ"
    },
    {
      "number": 9,
      "topic": "fluid_outflow",
      "prompt_uz": "Teshikli idishga har sekund 0.3 L suv quyiladi. Suv sathi 5 cm ga yetganda barqarorlashadi. Teshik yuzini toping (cm²).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 30,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4"
        },
        {
          "label": "B",
          "text": "2"
        },
        {
          "label": "C",
          "text": "3"
        },
        {
          "label": "D",
          "text": "5"
        }
      ],
      "answer_display": "C) 3 cm²"
    },
    {
      "number": 10,
      "topic": "rotating_liquid",
      "prompt_uz": "Aylanayotgan katta idishdagi neft sirtining chet va markaz balandliklari farqi 0.45 m. Chetki nuqtadagi oqim tezligini toping (m/s).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 31,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2"
        },
        {
          "label": "B",
          "text": "3"
        },
        {
          "label": "C",
          "text": "4"
        },
        {
          "label": "D",
          "text": "5"
        }
      ],
      "answer_display": "B) 3 m/s"
    },
    {
      "number": 11,
      "topic": "thermal_phase_change",
      "prompt_uz": "0°C li muz ustidagi mis bo‘lagi muzga to‘liq botishi uchun misning eng kam boshlang‘ich haroratini toping (°C).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 2,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "72"
        },
        {
          "label": "B",
          "text": "78"
        },
        {
          "label": "C",
          "text": "88"
        },
        {
          "label": "D",
          "text": "98"
        }
      ],
      "answer_display": "C) ≈88°C"
    },
    {
      "number": 12,
      "topic": "ideal_gas_density",
      "prompt_uz": "Bosimi 10 MPa va harorati 770 K bo‘lgan CO₂ gazining zichligini toping (kg/m³).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2023_12_03",
        "source_label": "03.12.2023 deep-crosschecked reconstruction",
        "source_date": "2023-12-03",
        "source_question_no": null,
        "source_type": "audited_replacement_source"
      },
      "editorial_note": "Manbadagi javob variantlari fizik natijaga mos kelmagani uchun tekshirilgan boshqa manba savoli ishlatilgan.",
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "68.8"
        },
        {
          "label": "B",
          "text": "57.9"
        },
        {
          "label": "C",
          "text": "32"
        },
        {
          "label": "D",
          "text": "62"
        }
      ],
      "answer_display": "A) ≈68.8 kg/m³"
    },
    {
      "number": 13,
      "topic": "isobaric_work",
      "prompt_uz": "20 g geliy gazi o‘zgarmas bosimda 20°C ga qizdirildi. Gaz bajargan ishni toping (J).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 17,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "831"
        },
        {
          "label": "B",
          "text": "8.31"
        },
        {
          "label": "C",
          "text": "83.1"
        },
        {
          "label": "D",
          "text": "0.831"
        }
      ],
      "answer_display": "A) ≈831 J"
    },
    {
      "number": 14,
      "topic": "ideal_gas_process",
      "prompt_uz": "Ideal gaz P/√T=const qonun bo‘yicha kengayib/siqilib, hajmi 4 marta kamaydi. Ichki energiya qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 18,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2 marta ortadi"
        },
        {
          "label": "B",
          "text": "16 marta kamayadi"
        },
        {
          "label": "C",
          "text": "4 marta kamayadi"
        },
        {
          "label": "D",
          "text": "8 marta ortadi"
        }
      ],
      "answer_display": "B) 16 marta kamayadi"
    },
    {
      "number": 15,
      "topic": "molecular_counting",
      "prompt_uz": "5 mol CO₂ tarkibidagi kislorod atomlari sonini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 21,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "6×10²⁴"
        },
        {
          "label": "B",
          "text": "3×10²⁴"
        },
        {
          "label": "C",
          "text": "1×10²⁴"
        },
        {
          "label": "D",
          "text": "6×10²³"
        }
      ],
      "answer_display": "A) ≈6.02×10²⁴ ta"
    },
    {
      "number": 16,
      "topic": "electrostatic_self_energy",
      "prompt_uz": "Zaryadi o‘zgarmaydigan izolyatsiyalangan sharning radiusi 4 marta oshirilsa, elektr maydon energiyasi qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 10,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "16 marta kamayadi"
        },
        {
          "label": "B",
          "text": "4 marta kamayadi"
        },
        {
          "label": "C",
          "text": "4 marta ortadi"
        },
        {
          "label": "D",
          "text": "16 marta ortadi"
        }
      ],
      "answer_display": "B) 4 marta kamayadi"
    },
    {
      "number": 17,
      "topic": "electrochemistry_faraday",
      "prompt_uz": "Al³⁺ ionli elektrolizda 5·96500 C zaryad o‘tsa, ajraladigan modda miqdorini toping (mol).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 12,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "5/3"
        },
        {
          "label": "B",
          "text": "2/3"
        },
        {
          "label": "C",
          "text": "3/5"
        },
        {
          "label": "D",
          "text": "3/2"
        }
      ],
      "answer_display": "A) 5/3 mol"
    },
    {
      "number": 18,
      "topic": "electromagnetic_induction",
      "prompt_uz": "G‘altakdagi tok I=2.4+1.6t (A) qonun bo‘yicha o‘zgaradi. L=5 mH bo‘lsa, o‘zinduksiya EYuK ni toping (mV).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 15,
        "source_type": "post_exam_reconstruction"
      },
      "editorial_note": "O‘zinduksiya EYuK ishorasi Lents qonuniga ko‘ra manfiy saqlangan.",
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4"
        },
        {
          "label": "B",
          "text": "−8"
        },
        {
          "label": "C",
          "text": "6"
        },
        {
          "label": "D",
          "text": "2"
        }
      ],
      "answer_display": "B) −8 mV"
    },
    {
      "number": 19,
      "topic": "dielectrics",
      "prompt_uz": "Vakuumda nuqtaviy zaryad r masofada E=8.82 V/m maydon hosil qiladi. Kerosin ichida (εr=2.1) shu masofadagi maydon kuchlanganligini toping (V/m).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 16,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2.2"
        },
        {
          "label": "B",
          "text": "1.1"
        },
        {
          "label": "C",
          "text": "18.5"
        },
        {
          "label": "D",
          "text": "4.2"
        }
      ],
      "answer_display": "D) 4.2 V/m"
    },
    {
      "number": 20,
      "topic": "electron_acceleration_voltage",
      "prompt_uz": "Vakuum diodida anod-katod kuchlanishi 48 V. Anodga yetib borayotgan elektronning minimal kinetik energiyasini toping (eV).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 19,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "48"
        },
        {
          "label": "B",
          "text": "96"
        },
        {
          "label": "C",
          "text": "24"
        },
        {
          "label": "D",
          "text": "12"
        }
      ],
      "answer_display": "A) 48 eV"
    },
    {
      "number": 21,
      "topic": "magnetic_torque_loop",
      "prompt_uz": "B=0.25 T bir jinsli maydonda S=20 cm² ramkadan I=0.6 A tok o‘tadi. Maksimal aylantiruvchi momentni toping (N·m).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 20,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "3×10⁻⁴"
        },
        {
          "label": "B",
          "text": "4×10⁻⁴"
        },
        {
          "label": "C",
          "text": "1×10⁻⁴"
        },
        {
          "label": "D",
          "text": "2×10⁻⁴"
        }
      ],
      "answer_display": "A) 3×10⁻⁴ N·m"
    },
    {
      "number": 22,
      "topic": "infinite_capacitor_ladder",
      "prompt_uz": "Rasmda berilgan cheksiz kondensatorlar sistemasining a-b orasidagi ekvivalent sig‘imini toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-02/q23-capacitor-ladder.svg",
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 23,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "(√5+1)C/2"
        },
        {
          "label": "B",
          "text": "(√2+1)C/2"
        },
        {
          "label": "C",
          "text": "(√5−1)C/2"
        },
        {
          "label": "D",
          "text": "(√3−1)C/2"
        }
      ],
      "answer_display": "C) (√5−1)C/2"
    },
    {
      "number": 23,
      "topic": "rc_discharge",
      "prompt_uz": "C sig‘imli kondensator U gacha zaryadlangan. Qoplamalar R qarshilik orqali ulanganda boshlang‘ich zaryadning 0.1% qismi qancha vaqtda o‘tadi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 25,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "CR/1000"
        },
        {
          "label": "B",
          "text": "CR/100"
        },
        {
          "label": "C",
          "text": "R/(1000C)"
        },
        {
          "label": "D",
          "text": "C/(1000R)"
        }
      ],
      "answer_display": "A) ≈RC/1000"
    },
    {
      "number": 24,
      "topic": "magnetic_torque_loop",
      "prompt_uz": "Tokli ramkaning maksimal momenti 4.8 N·m, yuzi 0.25 m², toki 3 A. Magnit induksiyani toping (T).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 32,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "6.4"
        },
        {
          "label": "B",
          "text": "3.6"
        },
        {
          "label": "C",
          "text": "5.4"
        },
        {
          "label": "D",
          "text": "4.8"
        }
      ],
      "answer_display": "A) 6.4 T"
    },
    {
      "number": 25,
      "topic": "resistor_network",
      "prompt_uz": "Chizmadagi barcha rezistorlarning qarshiligi R. A va B nuqtalari orasidagi ekvivalent qarshilikni toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-02/q25-resistor-network.svg",
      "source": {
        "source_code": "RECON_2025_05_13_S2",
        "source_label": "13.05.2025 2-smena post-exam reconstruction",
        "source_date": "2025-05-13",
        "source_question_no": 17,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "3R/7"
        },
        {
          "label": "B",
          "text": "R/2"
        },
        {
          "label": "C",
          "text": "5R/3"
        },
        {
          "label": "D",
          "text": "R"
        }
      ],
      "answer_display": "A) 3R/7"
    },
    {
      "number": 26,
      "topic": "special_relativity_relative_velocity",
      "prompt_uz": "Ikki kosmik kema qarama-qarshi yo‘nalishda 2c/3 va 3c/4 tezliklarda harakat qiladi. Ularning nisbiy tezligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 13,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "17c/18"
        },
        {
          "label": "B",
          "text": "18c/17"
        },
        {
          "label": "C",
          "text": "17c/12"
        },
        {
          "label": "D",
          "text": "12c/17"
        }
      ],
      "answer_display": "A) 17c/18"
    },
    {
      "number": 27,
      "topic": "special_relativity_relative_velocity",
      "prompt_uz": "Ikki zarra bir-biriga tomon 0.7c va 0.4c tezliklarda harakat qiladi. Ularning relativistik nisbiy tezligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 22,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "0.86c"
        },
        {
          "label": "B",
          "text": "0.95c"
        },
        {
          "label": "C",
          "text": "1.1c"
        },
        {
          "label": "D",
          "text": "0.3c"
        }
      ],
      "answer_display": "A) ≈0.859c"
    },
    {
      "number": 28,
      "topic": "plane_mirror_motion",
      "prompt_uz": "Rasmda A nuqta 8 m/s vertikal, yassi ko‘zgu 3 m/s gorizontal tezlik bilan harakatlanadi. A tasvirining Yerga nisbatan tezlik modulini toping (m/s).",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-02/q27-mirror-motion.svg",
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 27,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "10"
        },
        {
          "label": "B",
          "text": "√52"
        },
        {
          "label": "C",
          "text": "8"
        },
        {
          "label": "D",
          "text": "13"
        }
      ],
      "answer_display": "A) 10 m/s"
    },
    {
      "number": 29,
      "topic": "bohr_model",
      "prompt_uz": "Vodorod atomida elektron orbitasi radiusi 4 marta ortsa, orbital tezlik qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 5,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4 marta ortadi"
        },
        {
          "label": "B",
          "text": "2 marta ortadi"
        },
        {
          "label": "C",
          "text": "4 marta kamayadi"
        },
        {
          "label": "D",
          "text": "2 marta kamayadi"
        }
      ],
      "answer_display": "D) 2 marta kamayadi"
    },
    {
      "number": 30,
      "topic": "annihilation",
      "prompt_uz": "Deyarli tinch elektron va pozitron annigilyatsiyalanganda hosil bo‘lgan har bir gamma-kvant impulsini toping. mₑ — elektron massasi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 11,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "mₑc"
        },
        {
          "label": "B",
          "text": "2mₑc/h"
        },
        {
          "label": "C",
          "text": "mₑc/(2h)"
        },
        {
          "label": "D",
          "text": "mₑc/2"
        }
      ],
      "answer_display": "A) mₑc"
    },
    {
      "number": 31,
      "topic": "nuclear_binding_energy",
      "prompt_uz": "⁴He yadrosining bog‘lanish energiyasi 27 MeV. Solishtirma bog‘lanish energiyasini toping (MeV/nuklon).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 29,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "27/4"
        },
        {
          "label": "B",
          "text": "27/2"
        },
        {
          "label": "C",
          "text": "27"
        },
        {
          "label": "D",
          "text": "54"
        }
      ],
      "answer_display": "A) 6.75 MeV/nuklon"
    },
    {
      "number": 32,
      "topic": "density_geometry",
      "prompt_uz": "To‘la sirt yuzi 96 cm² bo‘lgan kubning massasi 160 g. Zichligini toping (kg/m³).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "Sobirov Ulug‘bek — FIZIKA milliy sertifikat 13.05.2025, 1-smena",
        "source_date": "2025-05-13",
        "source_question_no": 7,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2.5"
        },
        {
          "label": "B",
          "text": "2500"
        },
        {
          "label": "C",
          "text": "3000"
        },
        {
          "label": "D",
          "text": "1500"
        }
      ],
      "answer_display": "B) 2500 kg/m³"
    },
    {
      "number": 33,
      "topic": "friction_coupled_rotation",
      "prompt_uz": "1–6 nuqtalarning qaysi birida markazga intilma tezlanish eng katta?",
      "context_uz": "Massalari teng bo‘lgan ikki disk sirpanmasdan friksion bog‘langan. Chizmada O₁ va O₂ markazlar hamda 1–6 nuqtalar ko‘rsatilgan.",
      "diagram": "/assets/images/physics-ms/mock-02/q33-35-friction-disks.svg",
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "13.05.2025 1-smena post-exam reconstruction",
        "source_date": "2025-05-13",
        "source_question_no": 33,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1"
        },
        {
          "label": "B",
          "text": "2"
        },
        {
          "label": "C",
          "text": "5"
        },
        {
          "label": "D",
          "text": "4"
        },
        {
          "label": "E",
          "text": "6"
        },
        {
          "label": "F",
          "text": "3"
        }
      ],
      "answer_display": "D) 4-nuqta"
    },
    {
      "number": 34,
      "topic": "friction_coupled_rotation",
      "prompt_uz": "2, 4 va 6 nuqtalardan qaysi birining chiziqli tezligi eng kichik?",
      "context_uz": "Massalari teng bo‘lgan ikki disk sirpanmasdan friksion bog‘langan. Chizmada O₁ va O₂ markazlar hamda 1–6 nuqtalar ko‘rsatilgan.",
      "diagram": "/assets/images/physics-ms/mock-02/q33-35-friction-disks.svg",
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "13.05.2025 1-smena post-exam reconstruction",
        "source_date": "2025-05-13",
        "source_question_no": 34,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "E"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1"
        },
        {
          "label": "B",
          "text": "2"
        },
        {
          "label": "C",
          "text": "5"
        },
        {
          "label": "D",
          "text": "4"
        },
        {
          "label": "E",
          "text": "6"
        },
        {
          "label": "F",
          "text": "3"
        }
      ],
      "answer_display": "E) 6-nuqta"
    },
    {
      "number": 35,
      "topic": "friction_coupled_rotation",
      "prompt_uz": "1–6 nuqtalarning qaysi biriga eng kichik natijaviy kuch ta’sir qiladi?",
      "context_uz": "Massalari teng bo‘lgan ikki disk sirpanmasdan friksion bog‘langan. Chizmada O₁ va O₂ markazlar hamda 1–6 nuqtalar ko‘rsatilgan.",
      "diagram": "/assets/images/physics-ms/mock-02/q33-35-friction-disks.svg",
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "13.05.2025 1-smena post-exam reconstruction",
        "source_date": "2025-05-13",
        "source_question_no": 35,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1"
        },
        {
          "label": "B",
          "text": "2"
        },
        {
          "label": "C",
          "text": "5"
        },
        {
          "label": "D",
          "text": "4"
        },
        {
          "label": "E",
          "text": "6"
        },
        {
          "label": "F",
          "text": "3"
        }
      ],
      "answer_display": "A) 1-nuqta"
    },
    {
      "number": 36,
      "topic": "inclined_plane_friction",
      "prompt_uz": "Balandligi 3 m va uzunligi 5 m bo‘lgan qiya tekislik tepasidan jism tinch qo‘yib yuborildi; pastda v=6 m/s.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 36,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Qiya tekislikning foydali ish koeffitsiyentini toping.",
            "accepted": [
              "60%",
              "60",
              "0.6",
              "0,6"
            ],
            "answer_display": "60%"
          },
          {
            "key": "b",
            "prompt": "Ishqalanish koeffitsiyentini toping.",
            "accepted": [
              "0.30",
              "0.3",
              "0,30",
              "0,3"
            ],
            "answer_display": "0.30"
          }
        ]
      },
      "answer_display": "a) 60%; b) 0.30"
    },
    {
      "number": 37,
      "topic": "center_of_mass_inelastic_collision",
      "prompt_uz": "1 kg jism 3 m/s sharqqa, 0.5 kg jism 8 m/s janubga harakatlanadi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 43,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Sistemaning massa markazi tezligi modulini toping (m/s).",
            "accepted": [
              "10/3 m/s",
              "10/3",
              "3.33 m/s",
              "3,33 m/s",
              "3.33",
              "3,33"
            ],
            "answer_display": "10/3 m/s"
          },
          {
            "key": "b",
            "prompt": "To‘liq noelastik to‘qnashuvda issiqlikka aylangan energiyani toping (J).",
            "accepted": [
              "73/6 J",
              "73/6",
              "12.17 J",
              "12,17 J",
              "12.17",
              "12,17"
            ],
            "answer_display": "73/6 J"
          }
        ]
      },
      "answer_display": "a) 10/3 m/s; b) 73/6 J"
    },
    {
      "number": 38,
      "topic": "impulse_energy_rebound",
      "prompt_uz": "Tennis koptogi raketkaga 12 m/s tezlik bilan urilib, qarama-qarshi yo‘nalishda 16 m/s tezlik bilan qaytadi. Koptok kinetik energiyasining o‘zgarish moduli 14 J.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S2",
        "source_label": "13.05.2025 2-smena post-exam reconstruction",
        "source_date": "2025-05-13",
        "source_question_no": 36,
        "source_type": "post_exam_reconstruction"
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Koptok massasini toping (kg).",
            "accepted": [
              "0.25 kg",
              "0,25 kg",
              "0.25",
              "0,25"
            ],
            "answer_display": "0.25 kg"
          },
          {
            "key": "b",
            "prompt": "Koptok impulsi o‘zgarishining modulini toping (kg·m/s).",
            "accepted": [
              "7 kg·m/s",
              "7 kg*m/s",
              "7",
              "7 N·s"
            ],
            "answer_display": "7 kg·m/s"
          }
        ]
      },
      "answer_display": "a) 0.25 kg; b) 7 kg·m/s"
    },
    {
      "number": 39,
      "topic": "ideal_gas_open_closed_vessel",
      "prompt_uz": "Usti ochiq idishdagi gaz 200 K dan 400 K gacha qizdirildi, so‘ng idish germetik yopilib 320 K gacha sovutildi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 37,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Birinchi bosqichda gaz bosimi qanday o‘zgaradi?",
            "accepted": [
              "O‘zgarmaydi",
              "O'zgarmaydi",
              "Ozgarmaydi",
              "bir xil qoladi"
            ],
            "answer_display": "O‘zgarmaydi"
          },
          {
            "key": "b",
            "prompt": "Ikkinchi bosqichda gaz bosimi qanday o‘zgaradi?",
            "accepted": [
              "1.25 marta kamayadi",
              "1,25 marta kamayadi",
              "0.8",
              "0,8",
              "20% kamayadi"
            ],
            "answer_display": "1.25 marta kamayadi (p₂/p₁=0.8)"
          }
        ]
      },
      "answer_display": "a) O‘zgarmaydi; b) 1.25 marta kamayadi"
    },
    {
      "number": 40,
      "topic": "ideal_gas_mixing",
      "prompt_uz": "Bir xil haroratdagi ikki idishda mos ravishda N₁=12×10³⁰, p₁=40 kPa va N₂=5×10³⁰, p₂=25 kPa gaz bor; idishlar kran bilan tutashtiriladi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 40,
        "source_type": "later_full45_crosscheck"
      },
      "editorial_note": "Hisob natijasida birinchi idish bosimi 40 kPa dan 34 kPa gacha kamayadi; savol matnidagi yo‘nalish fizik natijaga mos tahrirlangan.",
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Kran ochilgach umumiy bosimni toping (kPa).",
            "accepted": [
              "34 kPa",
              "34 kpa",
              "34"
            ],
            "answer_display": "34 kPa"
          },
          {
            "key": "b",
            "prompt": "Birinchi idish bosimi qancha kamayadi (kPa)?",
            "accepted": [
              "6 kPa",
              "6 kpa",
              "6"
            ],
            "answer_display": "6 kPa"
          }
        ]
      },
      "answer_display": "a) 34 kPa; b) 6 kPa"
    },
    {
      "number": 41,
      "topic": "ac_series_circuit",
      "prompt_uz": "Ketma-ket zanjirda R=8 Ω, X_L=11 Ω, X_C=5 Ω.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 39,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Quvvat koeffitsiyentini toping.",
            "accepted": [
              "0.8",
              "0,8"
            ],
            "answer_display": "0.8"
          },
          {
            "key": "b",
            "prompt": "Umumiy impedansni toping (Ω).",
            "accepted": [
              "10 Ω",
              "10 Om",
              "10 ohm",
              "10"
            ],
            "answer_display": "10 Ω"
          }
        ]
      },
      "answer_display": "a) 0.8; b) 10 Ω"
    },
    {
      "number": 42,
      "topic": "coulomb_orbit",
      "prompt_uz": "M≫m, Q>0 va q<0. Kichik zaryadli zarra katta qo‘zg‘almas zaryad atrofida r radiusli aylana orbitada harakat qiladi; gravitatsiya hisobga olinmaydi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 41,
        "source_type": "later_full45_crosscheck"
      },
      "editorial_note": "Aylana orbitani Coulomb tortishishi ta’minlashi uchun zaryadlar qarama-qarshi ishorali bo‘lishi kerak.",
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Kichik zarraning tezligini toping.",
            "accepted": [
              "√(k|Qq|/(mr))",
              "sqrt(k|Qq|/(mr))",
              "sqrt(kQq/(mr))"
            ],
            "answer_display": "√(k|Qq|/(mr))"
          },
          {
            "key": "b",
            "prompt": "Kichik zarraning kinetik energiyasini toping.",
            "accepted": [
              "k|Qq|/(2r)",
              "kQq/(2r)",
              "k*|Qq|/(2r)"
            ],
            "answer_display": "k|Qq|/(2r)"
          }
        ]
      },
      "answer_display": "a) √(k|Qq|/(mr)); b) k|Qq|/(2r)"
    },
    {
      "number": 43,
      "topic": "thin_lens",
      "prompt_uz": "Fokus masofasi 20 cm bo‘lgan linzada buyumning to‘g‘ri, mavhum tasviri linzadan 60 cm masofada hosil bo‘ladi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 38,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Linzaning kattalashtirishini toping.",
            "accepted": [
              "4",
              "4 marta"
            ],
            "answer_display": "4"
          },
          {
            "key": "b",
            "prompt": "Buyumdan linzagacha bo‘lgan masofani toping (cm).",
            "accepted": [
              "15 cm",
              "15 cm",
              "15 sm",
              "15"
            ],
            "answer_display": "15 cm"
          }
        ]
      },
      "answer_display": "a) 4; b) 15 cm"
    },
    {
      "number": 44,
      "topic": "special_relativity_energy_momentum",
      "prompt_uz": "Zarraning impulsi p, to‘la energiyasi 4pc.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 42,
        "source_type": "later_full45_crosscheck"
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Zarraning tinchlik massasini toping.",
            "accepted": [
              "√15·p/c",
              "sqrt(15)p/c",
              "sqrt15 p/c"
            ],
            "answer_display": "√15·p/c"
          },
          {
            "key": "b",
            "prompt": "Impulsi 2p bo‘lgandagi to‘la energiyasini toping.",
            "accepted": [
              "√19·pc",
              "sqrt(19)pc",
              "sqrt19 pc"
            ],
            "answer_display": "√19·pc"
          }
        ]
      },
      "answer_display": "a) √15·p/c; b) √19·pc"
    },
    {
      "number": 45,
      "topic": "radioactive_decay",
      "prompt_uz": "Radioaktiv preparatning 6 minutda 15/16 qismi yemiriladi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "RECON_2025_05_13_S1",
        "source_label": "@msfizika — 2025-yil 13-maydagi savollar (1-smena)",
        "source_date": "2025-05-13",
        "source_question_no": 45,
        "source_type": "later_full45_crosscheck"
      },
      "editorial_note": "Turli qayta tiklashlardagi vaqt ziddiyati keyingi to‘liq manbadagi 6 minut asosida yechilgan.",
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Yarim yemirilish davrini toping (s).",
            "accepted": [
              "90 s",
              "90 sekund",
              "90"
            ],
            "answer_display": "90 s"
          },
          {
            "key": "b",
            "prompt": "Yemirilish doimiysini toping (s⁻¹).",
            "accepted": [
              "ln2/90",
              "0.00770 s⁻¹",
              "0.0077",
              "0,0077",
              "7.70×10⁻3 s⁻¹"
            ],
            "answer_display": "ln2/90 ≈ 7.70×10⁻3 s⁻¹"
          }
        ]
      },
      "answer_display": "a) 90 s; b) ≈7.70×10⁻³ s⁻¹"
    }
  ]
}