<test_artifact identifier="jee-main-10q-mock" format="mock-exam" title="JEE Main Quick Mock — 10 Questions">
{
"title": "JEE Main Quick Mock — 10 Questions",
"examName": "JEE Main",
"durationMinutes": 24,
"marking": { "correct": 4, "wrong": -1, "unattempted": 0 },
"sections": [
{ "name": "Physics", "questionCount": 4 },
{ "name": "Chemistry", "questionCount": 3 },
{ "name": "Mathematics", "questionCount": 3 }
],
"questions": [
{
"answerNature": "computational",
"id": 1,
"section": "Physics",
"topic": "Work, Energy and Power",
"type": "mcq-computed",
"stem": "A block of mass 2 kg is pulled up a smooth inclined plane (angle 30°) through a distance of 5 m along the plane. The work done against gravity is (g = 10 m/s²):",
"compute": "2 * 10 * 5 * sin(30 * pi / 180)",
"precision": 0,
"unit": "J",
"distractors": [
{ "value": 100 },
{ "value": 25 },
{ "value": 86 }
],
"explanation": "Height gained h = 5 sin 30° = 2.5 m. Work done against gravity = mgh = 2 × 10 × 2.5 = {V} J.",
"source": "Work, Energy and Power — NCERT Class 11 Physics Ch. 6"
},
{
"answerNature": "recall",
"id": 2,
"section": "Physics",
"topic": "Oscillations",
"type": "mcq",
"stem": "A particle executes simple harmonic motion. At the mean position, which physical quantity is at its maximum?",
"options": [
"Potential energy",
"Kinetic energy",
"Acceleration",
"Restoring force"
],
"correct": 1,
"explanation": "At the mean position, displacement x = 0, so potential energy (½kx²), restoring force (−kx), and acceleration are all zero. Since total mechanical energy is conserved, kinetic energy is maximum here.",
"source": "Oscillations — NCERT Class 11 Physics Ch. 14"
},
{
"answerNature": "computational",
"id": 3,
"section": "Physics",
"topic": "Alternating Current",
"type": "nvq-computed",
"stem": "A series RL circuit has resistance 6 Ω and inductive reactance 8 Ω at a given frequency. The impedance of the circuit is _____ Ω.",
"compute": "sqrt(6^2 + 8^2)",
"precision": 0,
"unit": "Ω",
"tolerance": 0,
"explanation": "Impedance Z = √(R² + X_L²) = √(36 + 64) = √100 = {V} Ω. (This is a 6-8-10 Pythagorean triple.)",
"source": "Alternating Current — NCERT Class 12 Physics Ch. 7"
},
{
"answerNature": "computational",
"id": 4,
"section": "Physics",
"topic": "Ray Optics",
"type": "mcq-computed",
"stem": "An object is placed 30 cm in front of a thin convex lens of focal length 20 cm. Using the lens formula (1/v − 1/u = 1/f) with sign convention u = −30 cm, the image distance v is:",
"compute": "1 / (1/20 + 1/(-30))",
"precision": 0,
"unit": "cm",
"distractors": [
{ "value": 12 },
{ "value": -60 },
{ "value": 30 }
],
"explanation": "1/v = 1/f + 1/u = 1/20 + 1/(−30) = 3/60 − 2/60 = 1/60. So v = {V} cm (real, inverted image beyond 2F).",
"source": "Ray Optics and Optical Instruments — NCERT Class 12 Physics Ch. 9"
},
{
"answerNature": "computational",
"id": 5,
"section": "Chemistry",
"topic": "Solutions",
"type": "mcq-computed",
"stem": "What mass of NaOH (molar mass = 40 g/mol) must be dissolved to prepare 500 mL of a 0.1 M solution?",
"compute": "0.1 * 0.5 * 40",
"precision": 1,
"unit": "g",
"distractors": [
{ "value": 4.0 },
{ "value": 1.0 },
{ "value": 20.0 }
],
"explanation": "Moles required = Molarity × Volume (L) = 0.1 × 0.5 = 0.05 mol. Mass = 0.05 × 40 = {V} g.",
"source": "Solutions — NCERT Class 12 Chemistry Ch. 2"
},
{
"answerNature": "recall",
"id": 6,
"section": "Chemistry",
"topic": "Chemical Bonding and Molecular Structure",
"type": "mcq",
"stem": "Among NH₃, H₂O, PCl₅, and BF₃, which central atom has the maximum number of lone pairs?",
"options": [
"N in NH₃ (1 lone pair)",
"O in H₂O (2 lone pairs)",
"P in PCl₅ (0 lone pairs)",
"B in BF₃ (0 lone pairs)"
],
"correct": 1,
"explanation": "N in NH₃ carries 1 lone pair; P in PCl₅ and B in BF₃ carry none. O in H₂O has 2 lone pairs, the highest among the four. Water's bent geometry arises from these two lone pairs on oxygen.",
"source": "Chemical Bonding and Molecular Structure — NCERT Class 11 Chemistry Ch. 4"
},
{
"answerNature": "computational",
"id": 7,
"section": "Chemistry",
"topic": "Electrochemistry",
"type": "nvq-computed",
"stem": "Two half-cells have standard reduction potentials of +0.80 V and −0.44 V respectively. The standard EMF (in V) of the cell formed by coupling them, with the higher reduction potential as cathode, is _____.",
"compute": "0.80 - (-0.44)",
"precision": 2,
"unit": "V",
"tolerance": 0.01,
"explanation": "E°cell = E°cathode − E°anode (both as reduction potentials) = 0.80 − (−0.44) = {V} V.",
"source": "Electrochemistry — NCERT Class 12 Chemistry Ch. 3"
},
{
"answerNature": "computational",
"id": 8,
"section": "Mathematics",
"topic": "Quadratic Equations",
"type": "mcq-computed",
"stem": "If α and β are the roots of the equation 2x² − 7x + 3 = 0, the value of α² + β² is:",
"compute": "(7/2)^2 - 2*(3/2)",
"precision": 2,
"unit": "",
"distractors": [
{ "value": 12.25 },
{ "value": 7.50 },
{ "value": 3.50 }
],
"explanation": "By Vieta's formulas: α + β = 7/2, αβ = 3/2. Then α² + β² = (α + β)² − 2αβ = (7/2)² − 2(3/2) = 12.25 − 3 = {V}.",
"source": "Quadratic Equations — NCERT Class 11 Mathematics Ch. 5"
},
{
"answerNature": "computational",
"id": 9,
"section": "Mathematics",
"topic": "Integrals",
"type": "mcq-computed",
"stem": "Evaluate the definite integral: ∫₀³ (2x + 1) dx",
"compute": "(3^2 + 3) - (0^2 + 0)",
"precision": 0,
"unit": "",
"distractors": [
{ "value": 9 },
{ "value": 15 },
{ "value": 6 }
],
"explanation": "Antiderivative of (2x + 1) is x² + x. Evaluating at the bounds: (9 + 3) − (0 + 0) = {V}.",
"source": "Integrals — NCERT Class 12 Mathematics Ch. 7"
},
{
"answerNature": "computational",
"id": 10,
"section": "Mathematics",
"topic": "Straight Lines",
"type": "mcq-computed",
"stem": "The perpendicular distance of the point (3, 4) from the line 3x − 4y + 5 = 0 is:",
"compute": "abs(3*3 - 4*4 + 5) / sqrt(3^2 + 4^2)",
"precision": 1,
"unit": "units",
"distractors": [
{ "value": 1.0 },
{ "value": 2.0 },
{ "value": 0.8 }
],
"explanation": "Distance = |ax₁ + by₁ + c| / √(a² + b²) = |9 − 16 + 5| / √(9 + 16) = |−2| / 5 = {V} units.",
"source": "Straight Lines — NCERT Class 11 Mathematics Ch. 10"
}
]
}
</test_artifact>
