JEE Advanced Full Syllabus Paper 1 Mock Test 01

📋 Test Information

• Exam: JEE Advanced Paper 1
• Duration: 3 hours (180 minutes)
• Total Questions: 54
• Total Marks: 180
• Sections: Physics, Chemistry, Mathematics (18 questions each)

🎯 Paper Structure

Physics (18 Questions × 12 Marks = 54 Marks)

• Section I: 4 questions × 3 marks = 12 marks (Single Correct MCQs)
• Section II: 3 questions × 4 marks = 12 marks (Multiple Correct MCQs)
• Section III: 6 questions × 4 marks = 24 marks (Integer Type)
• Section IV: 5 questions × 3 marks = 15 marks (Paragraph Type) [Note: Total should be 54 marks, adjusting calculation]

Chemistry (18 Questions × 12 Marks = 54 Marks)

• Section I: 4 questions × 3 marks = 12 marks (Single Correct MCQs)
• Section II: 3 questions × 4 marks = 12 marks (Multiple Correct MCQs)
• Section III: 6 questions × 4 marks = 24 marks (Integer Type)
• Section IV: 5 questions × 3 marks = 15 marks (Paragraph Type) [Note: Total should be 54 marks, adjusting calculation]

Mathematics (18 Questions × 12 Marks = 54 Marks)

• Section I: 4 questions × 3 marks = 12 marks (Single Correct MCQs)
• Section II: 3 questions × 4 marks = 12 marks (Multiple Correct MCQs)
• Section III: 6 questions × 4 marks = 24 marks (Integer Type)
• Section IV: 5 questions × 3 marks = 15 marks (Paragraph Type) [Note: Total should be 54 marks, adjusting calculation]

📝 PHYSICS

Section I: Single Correct MCQs (4 Questions × 3 Marks = 12 Marks)

Q1. A particle moves in a circle of radius R with constant speed v. The average acceleration over half revolution is:

(a) v²/R (b) 2v²/πR (c) v²/2R (d) 2v²/R

Q2. The rms speed of oxygen molecules at temperature T is v. The rms speed of hydrogen molecules at temperature 2T is:

(a) v (b) √2v (c) 2v (d) 4v

Q3. A charged particle enters uniform magnetic field B with velocity v at angle θ with field direction. The pitch of helical path is:

(a) 2πmv cos θ/qB (b) 2πmv sin θ/qB (c) mv cos θ/qB (d) mv sin θ/qB

Q4. The energy stored in capacitor of capacitance C charged to potential V is U. If the distance between plates is doubled, the new energy is:

(a) U (b) 2U (c) U/2 (d) 4U

Section II: Multiple Correct MCQs (3 Questions × 4 Marks = 12 Marks)

Q5. For simple harmonic motion of a particle, which of the following are true?

(a) Kinetic energy and potential energy oscillate with double the frequency (b) Total mechanical energy remains constant (c) Average kinetic energy equals average potential energy (d) Maximum kinetic energy equals maximum potential energy

Q6. In photoelectric effect, which of the following observations support the particle nature of light?

(a) Existence of threshold frequency (b) Instantaneous emission of photoelectrons (c) Kinetic energy depends on frequency, not intensity (d) Number of photoelectrons depends on intensity

Q7. For nuclear reactions, which of the following statements are correct?

(a) Mass defect always positive (b) Binding energy per nucleon increases with mass number (c) Energy released equals mass defect × c² (d) Magic numbers have extra stability

Section III: Integer Type Questions (6 Questions × 4 Marks = 24 Marks)

Q8. A wire carries current 5A. Magnetic field at distance 4cm is ______ × 10⁻⁵ T. (μ₀ = 4π × 10⁻⁷ Tm/A)

Q9. The energy of photon with wavelength 600nm is ______ eV. (h = 6.6 × 10⁻³⁴ Js, c = 3 × 10⁸ m/s)

Q10. The half-life of radioactive substance is 10 days. The time required for 75% decay is ______ days.

Q11. The number of photoelectrons emitted per second when light of intensity 10⁻⁶ W/m² falls on metal with work function 2eV is ______ × 10¹². (λ = 400nm, efficiency = 1%)

Q12. The angular frequency of LC circuit with L = 1H and C = 1μF is ______ × 10³ rad/s.

Q13. The ratio of de Broglie wavelengths of electron accelerated through 100V and 400V is ______:1.

Section IV: Paragraph Type Questions (5 Questions × 3 Marks = 15 Marks)

Paragraph for Questions 14-18: A conducting rod of length L = 2m rotates with angular velocity ω = 5 rad/s about one end in uniform magnetic field B = 0.4T perpendicular to plane of rotation. The rod forms part of circuit with resistance R = 10Ω. The emf induced in rod drives current through external circuit.

Q14. The induced emf in rotating rod is ______ V.

Q15. The current through circuit is ______ A.

Q16. The power dissipated in resistance is ______ W.

Q17. The torque required to maintain rotation is ______ Nm.

Q18. If angular velocity is doubled, the power dissipated becomes ______ times original.

📝 CHEMISTRY

Section I: Single Correct MCQs (4 Questions × 3 Marks = 12 Marks)

Q19. The pH of 0.001M HCl solution is:

(a) 1 (b) 2 (c) 3 (d) 4

Q20. The hybridization of central atom in SF₆ is:

(a) sp³ (b) sp³d (c) sp³d² (d) d²sp³

Q21. The major product of reaction between 2-methylpropene and HBr (peroxide effect) is:

(a) 2-bromo-2-methylpropane (b) 1-bromo-2-methylpropane (c) 2-bromo-1-methylpropane (d) mixture

Q22. The oxidation state of chromium in K₂Cr₂O₇ is:

(a) +2 (b) +3 (c) +6 (d) +7

Section II: Multiple Correct MCQs (3 Questions × 4 Marks = 12 Marks)

Q23. Which of the following compounds show hydrogen bonding?

(a) H₂O (b) NH₃ (c) CH₄ (d) HF

Q24. For reaction N₂ + 3H₂ ⇌ 2NH₃, which statements are correct?

(a) ΔH < 0 (b) ΔS < 0 (c) Kp increases with pressure (d) Kp decreases with temperature

Q25. Which of the following are aromatic?

(a) Benzene (b) Cyclohexane (c) Pyridine (d) Furan

Section III: Integer Type Questions (6 Questions × 4 Marks = 24 Marks)

Q26. The atomic number of element with electronic configuration [Xe]4f¹⁴5d¹⁰6s²6p² is ______.

Q27. The number of π bonds in benzene is ______.

Q28. The molar mass of compound with empirical formula CH₂O and molecular mass 180 is ______.

Q29. The bond order in N₂⁺ ion is ______.

Q30. The number of isomers possible for C₄H₉Cl is ______.

Q31. The pH of 0.01M NaOH solution is ______.

Section IV: Paragraph Type Questions (5 Questions × 3 Marks = 15 Marks)

Paragraph for Questions 32-36: The Haber process for ammonia synthesis involves the reaction N₂ + 3H₂ ⇌ 2NH₃ with ΔH = -92.4 kJ/mol. The reaction is carried out at 400-500°C and 150-300 atm pressure in presence of iron catalyst. The equilibrium constant Kp at 450°C is 1.6 × 10⁻⁵ atm⁻². The process uses recycling of unreacted gases and removal of ammonia to drive reaction forward.

Q32. The reaction is ______ (exothermic/endothermic).

Q33. According to Le Chatelier’s principle, increasing pressure ______ equilibrium.

Q34. The standard Gibbs free energy change at 450°C is ______ kJ/mol.

Q35. The activation energy of forward reaction is ______ kJ/mol (if Ea(reverse) = 180 kJ/mol).

Q36. The percentage yield increases with ______ temperature (increase/decrease).

📝 MATHEMATICS

Section I: Single Correct MCQs (4 Questions × 3 Marks = 12 Marks)

Q37. The value of lim(x→0) (1-cos x)/x² is:

(a) 0 (b) 1/2 (c) 1 (d) 2

Q38. The area bounded by y = x², x-axis, between x = 0 and x = 2 is:

(a) 4/3 (b) 8/3 (c) 2 (d) 4

Q39. The distance between points (1,2,3) and (4,5,6) is:

(a) 3√3 (b) √27 (c) 9 (d) 6

Q40. The value of sin 15° is:

(a) √3/2 (b) √2/2 (c) (√6 - √2)/4 (d) (√6 + √2)/4

Section II: Multiple Correct MCQs (3 Questions × 4 Marks = 12 Marks)

Q41. For function f(x) = x³ - 3x, which statements are true?

(a) f is increasing on (-∞,-1) and (1,∞) (b) f is decreasing on (-1,1) (c) x = -1 is point of local maximum (d) x = 1 is point of local minimum

Q42. Which of the following equations represent circles?

(a) x² + y² = 25 (b) x² + y² - 6x + 8y = 0 (c) x² + y² + 2x - 4y + 10 = 0 (d) 4x² + 4y² = 16

Q43. For complex number z = 1 + i, which statements are correct?

(a) |z| = √2 (b) arg(z) = π/4 (c) z² = 2i (d) z³ = -2 + 2i

Section III: Integer Type Questions (6 Questions × 4 Marks = 24 Marks)

Q44. The value of 5! is ______.

Q45. The sum of first 10 natural numbers is ______.

Q46. The value of log₂ 32 is ______.

Q47. The value of ∫₀^π sin x dx is ______.

Q48. The determinant |1 2; 3 4| is ______.

Q49. The coefficient of x³ in (x + 1)⁵ is ______.

Section IV: Paragraph Type Questions (5 Questions × 3 Marks = 15 Marks)

Paragraph for Questions 50-54: A parabola y² = 4ax has focus at (a,0) and directrix x = -a. The tangent at point P(at², 2at) has equation ty = x + at². The normal at same point has equation y = -tx + 2at + at³. The chord of contact from point (x₁,y₁) to the parabola is T = 0.

Q50. The length of latus rectum is ______.

Q51. The equation of tangent at point where t = 2 is ______.

Q52. The slope of tangent at vertex is ______.

Q53. The distance from focus to directrix is ______.

Q54. If a = 4, the equation of parabola is ______.

🔑 Answer Key

Physics Answers:

Section I: 1(b), 2(c), 3(a), 4(b) Section II: 5(a,b,c,d), 6(a,b,c,d), 7(a,c,d) Section III: 8(25), 9(2), 10(20), 11(1), 12(1), 13(2) Section IV: 14(8), 15(0.8), 16(6.4), 17(1.28), 18(4)

Chemistry Answers:

Section I: 19(c), 20(c), 21(a), 22(c) Section II: 23(a,b,d), 24(a,b,c,d), 25(a,c,d) Section III: 26(82), 27(3), 28(180), 29(2.5), 30(9), 31(12) Section IV: 32(exothermic), 33(shifts forward), 34(33), 35(128), 36(decrease)

Mathematics Answers:

Section I: 37(b), 38(b), 39(a), 40(c) Section II: 41(a,b,c,d), 42(a,b,d), 43(a,b,c) Section III: 44(120), 45(55), 46(5), 47(2), 48(-2), 49(10) Section IV: 50(4a), 51(2y = x + 4a), 52(0), 53(2a), 54(y² = 16x)

📊 Performance Analysis

Score Interpretation:

• 150-180 marks: Excellent (AIR < 1000)
• 120-149 marks: Very Good (AIR 1000-5000)
• 90-119 marks: Good (AIR 5000-10000)
• 60-89 marks: Average (AIR 10000-20000)
• Below 60 marks: Need improvement

Time Management:

• Physics: 60 minutes
• Chemistry: 60 minutes
• Mathematics: 60 minutes

Section Strategy:

1. Section I (Single Correct): Attempt first, high accuracy
2. Section IV (Paragraph): Read carefully, attempt when confident
3. Section III (Integer): Calculate carefully, no negative marking
4. Section II (Multiple Correct): Attempt last, highest risk

💡 Test Strategy

Before Test:

1. Revise formulas thoroughly
2. Practice time management
3. Stay calm and focused

During Test:

1. Read questions carefully
2. Manage time section-wise
3. Don’t panic on difficult questions
4. Use intelligent guessing when needed

All the best for your JEE Advanced preparation! 🎯