Loading…

Questions and solutions are free, always.

Practise

Practice
Revision queue
Revision planner
Take a test
Build a test

Browse

All topics
Blog
Notes & printables
Physics
Chemistry
Mathematics

Account

Your numbers
Study plan
Saved
Plus
Privacy
Terms
Delete account

Skip to content

JEE Main 2008 Annual Paper 1 Question Paper with Solutions | JEE Arc

Past papers

Ctrl K

Practice
Revise
Tests
Topics
More
Dashboard Settings My progress Notes & printables Revision planner Study plan Saved questions Explore Plus

81days to JEE Main

Study

PracticePractice

Study planPlanPlus

Library

Past papersPapers

ProgressProgress

SettingsSettings

JEE Arc Plus₹49 a month. Mocks, plans, notes.→?GuestSign in to save progress

JEE Main 2008Annual, Paper 1

Physics 21Chemistry 32Mathematics 34

Physics

Q5969Suppose an electron is attracted towards the origin by a force k/r where 'k' is a constant and 'r' is the distance of the electron from the origin. By…Atoms and Nuclei
Q6040This question contains Statement- 1 and Statement- 2. Of the four choices given after the statements, choose the one that best describes the two statements…Atoms and Nuclei
Q6147A parallel plate capacitor with air between the plates has capacitance of 9 pF. The separation between its plates is 'd'. The space between the plates has…Electrostatics
Q6202A block of mass 0.50 kg is moving with a speed of 2.00 m s⁻¹ on a smooth surface. It strike another mass of 1.0 kg and then they move together as a single…Rotational Motion
Q6678Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A= 10 c m² and length =20 cm. If one of the solenoid has 300…Electromagnetic Induction and Alternating Currents
Q6895A working transistor with its three legs marked P,Q and R is tested using a multi-meter. No conduction is found between P and Q. By connecting the common…Electronic Devices
Q7178A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth…Gravitation
Q7250This question contains Statement - 1 and Statement - 2. of the four choices given after the statements, choose the one that best describes the two statements…Gravitation
Q7356The speed of sound in oxygen (O₂) at a certain temperature is 460 m s⁻¹. The speed of sound in helium (He) at the same temperature will be (assume both gases…Thermodynamics
Q7529An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V₁ and contains ideal gas at pressure P₁…Thermodynamics
Q7635Relative permittivity and permeability of a material ε r and μ r, respectively. Which of the following values of these quantities are allowed for a…Magnetic Effects of Current and Magnetism
Q7671A horizontal overhead powerline is at height of 4m from the ground and carries a current of 100A from east to west. The magnetic field directly below it on…Magnetic Effects of Current and Magnetism
Q7893A spherical solid ball of volume V is made of a material of density ρ ₁. It is falling through a liquid of density ρ ₂(ρ ₂ < ρ ₁). Assume that the liquid…Properties of Solids and Liquids
Q8082Consider a uniform square plate of side ' a ' and mass 'm'. The moment of inertia of this plate about an axis perpendicular to its plane and passing through…Rotational Motion
Q8219The dimension of magnetic field in M, L, T and C (coulomb) is given asUnits and Measurements
Q8287A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms^−1. The magnitude of its momentum is recorded asUnits and Measurements
Q8324An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distances are measured byUnits and Measurements
Q8325Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50…Experimental Skills
Q8478A wave travelling along the x -axis is described by the equation y(x, t)=0.005 cos (α x - β t). If the wavelength and the time period of the wave are 0.08 m…Oscillations and Waves
Q8542While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm…Oscillations and Waves
Q8572An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the rangeWork, Energy and Power

Chemistry

Q23Phenol, when it first reacts with concentrated sulphuric acid and then with concentrated nitric acid, givesOrganic Compounds Containing Oxygen
Q109The correct decreasing order of priority for the functional groups of organic compounds in the IUPAC system of nomenclature isSome Basic Principles of Organic Chemistry
Q148α -D-(+)-glucose and β -D-(+)-glucose areBiomolecules
Q249The bond dissociation energy of B - F in BF₃ is 646 kJ mol⁻¹ whereas that of C - F in CF₄ is 515 kj mol⁻¹. The correct reason for higher B - F bond…Chemical Bonding and Molecular Structure
Q352Which of the following pair of species have the same bond order?Chemical Bonding and Molecular Structure
Q399The equilibrium constants K P 1 and K P 2 for the reactions X 2Y and Z P + Q, respectively are in the ratio of 1: 9. If the degree of dissociation of X and Z…Equilibrium
Q400For the following three reactions a, b and c, equilibrium constants are given: a. CO (g) + H₂O (g) CO₂(g) + H₂ (g); K₁ b. CH₄ (g) + H₂O (g) CO(g) + 3H₂ (g)…Equilibrium
Q504For a reaction 1/2A → 2B rate of disappearance of ‘A’ is related to the rate of appearance of ‘B’ by the expressionChemical Kinetics
Q584The coordination number and the oxidation state of the element ‘E’ in the complex [E(en)₂(C₂O₄)]NO₂ (where (en) is ethylene diamine) are, respectively,Coordination Compounds
Q604In which of the following octahedral complexes of Co (at. no. 27), will the magnitude of Δ o be the highest?Coordination Compounds
Q758Amount of oxalic acid present in a solution can be determined by its titration with KMn O₄ solution in the presence of H₂S O₄. The titration gives…d- and f-Block Elements
Q805Larger number of oxidation states are exhibited by the actinoids than those by the lanthanoids, the main reason being:d- and f-Block Elements
Q972Given E_ C r³⁺ /Cr ^(o) = -0.72 V; E Fe²⁺/Fe ^(o) = -0.42V, The potential for the cell Cr | Cr³⁺ (0.1M) || Fe²⁺ (0.01 M) | Fe isRedox Reactions and Electrochemistry
Q1053Identify the wrong statements in the following:Environmental Chemistry
Q1139The organic chloro compound, which shows complete stereochemical inversion during a S N 2 reaction, isOrganic Compounds Containing Halogens
Q1164Toluene is nitrated and the resulting product is reduced with tin and hydrochloric acid. The product so obtained is diazotised and then heated with cuprous…Hydrocarbons
Q1171The hydrocarbon which can react with sodium in liquid ammonia isHydrocarbons
Q1188In the following sequence of reactions, the alkene affords the compound ‘B’ CH₃ - CH = CH - CH₃ O₃ A 0pt Zn ^ H ₂O B The compound B isHydrocarbons
Q1239In context with the industrial preparation of hydrogen from water gas (CO + H₂), which of the following is the correct statement?Hydrogen
Q1280Four species are listed below i. HCO₃^− ii. H₃O⁺ iii. HSO₄^− iv. HSO₃F Which one of the following is the correct sequence of their acid strength?Equilibrium
Q1293The pK a of a weak acid, HA, is 4.80. The pK b of a weak base, BOH, is 4.78. The pH of an aqueous solution of the corresponding salt, BA, will beEquilibrium
Q1350Which of the following factors is of no significance for roasting sulphide ores to the oxides and not subjecting the sulphide ores to carbon reduction directly?Isolation of Elements
Q1449Which one of the following is the correct statement?p-Block Elements
Q1671Bakelite is obtained from phenol by reacting withPolymers
Q1907In a compound atoms of element Y from ccp lattice and those of element X occupy 2/3rd of tetrahedral voids. The formula of the compound will be:Solid State
Q2001At 80^(o)C, the vapour pressure of pure liquid ‘A’ is 520 mm Hg and that of pure liquid ‘B’ is 1000 mm Hg. If a mixture solution of ‘A’ and ‘B’ boils at…Solutions
Q2002The vapour pressure of water at 20^(o)C is 17.5 mm Hg. If 18 g of glucose (C₆H₁₂O₆) is added to 178.2 g of water at 20^(o)C, the vapour pressure of the…Solutions
Q2137Which one of the following constitutes a group of the isoelectronic species?Atomic Structure
Q2155The ionization enthalpy of hydrogen atom is 1.312 × 10⁶ J mol^−1. The energy required to excite the electron in the atom from n = 1 to n = 2 isAtomic Structure
Q2230Gold numbers of protective colloids A, B, C and D are 0.50, 0.01, 0.10 and 0.005, respectively. The correct order of their protective powers isSurface Chemistry
Q2288Standard entropy of X₂, Y₂ and XY₃ are 60, 40 and 50 JK^−1 mol^−1, respectively. For the reaction, 1/2 X₂ + 3/2 Y₂ → XY₃, Δ H = -30 kJ, to be at equilibrium…Chemical Thermodynamics
Q2342Oxidising power of chlorine in aqueous solution can be determined by the parameters indicated below: 1/2C l₂ (g) 1/2Δ diss H^Θ Cl(g) Δ eg H^Θ C l^ - (g) Δ Hyd…Chemical Thermodynamics

Mathematics

Q2481The line passing through the points (5,1,a) and (3, b, 1) crosses the yz -plane at the point (0,17/2, - (- 13)/2). ThenThree Dimensional Geometry
Q2482If the straight lines (x - 1)/k = (y - 2)/2 = (z - 3)/3 and (x - 2)/3 = (y - 3)/k = (z - 1)/2 intersects at a point, then the integer k is equal toThree Dimensional Geometry
Q2624Suppose the cubic x³ - px + q has three distinct real roots where p>0 and q>0. Then which one of the following holds?Limit, Continuity and Differentiability
Q2705How many real solutions does the equation x⁷ + 14x⁵ + 16x³ + 30x - 560 = 0 have?Limit, Continuity and Differentiability
Q2797The area of the plane region bounded by the curves x + 2y² = 0 and x + 3y² = 1 is equal to:Integral Calculus
Q2970Statement - 1: Σ r = 0 ⁿ (r + 1) ⁿ C r = (n + 2)2ⁿ⁻¹. Statement - 2: Σ r = 0 ⁿ (r + 1) ⁿ C r x^(r) = (1 + x)ⁿ + nx (1 + x)ⁿ⁻¹.Binomial Theorem and Its Simple Applications
Q3018The point diametrically opposite to the point P(1, 0) on the circle x² + y² + 2x + 4y - 3 = 0 is:Coordinate Geometry
Q3064The differential equation of the family of circles with fixed radius 5 units and centre on the line y = 2 is:Coordinate Geometry
Q3219The conjugate of a complex number is 1/(i - 1) then that complex number is:Complex Numbers and Quadratic Equations
Q3506The solution of the differential equation dy/dx = (x + y)/x satisfying the condition y(1)=1 is:Differential Equations
Q3743A focus of an ellipse is at the origin. The directrix is the line x=4 and the eccentricity is 1/2. Then the length of the semi-major axis is:Coordinate Geometry
Q3792Let f:N → Y be a function defined as f(x) = 4x + 3 where Y = y N, y = 4x + 3 for some x N. Show that f is invertible and its inverse isSets, Relations and Functions
Q3901AB is a vertical pole with B at the ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground…Height and Distance
Q3999The value of 2 ∫ (sin xdx)/(sin (x - (π)/4)) isIntegral Calculus
Q4086The value of cot(cos e c⁻¹ 5/3 + tan ⁻¹2/3) is:Trigonometry
Q4176Let f(x) = \ (x - 1) sin 1/(x - 1) if x ≠ 1 0 if x = 1. Then which one of the following is true?Limit, Continuity and Differentiability
Q4308The statement p → (q → p) is equivalent toMathematical Reasoning
Q4399Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”, and r be the statement “x is a rational number iff y is…Mathematical Reasoning
Q4515Let A be a square matrix all of whose entries are integers. Then which one of the following is true?Matrices and Determinants
Q4551Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that x=cy+bz, y=az+cx, and z=bx+ay. Then a² + b² + c² + 2abc is…Matrices and Determinants
Q4651Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of a. Assume that a² = I…Matrices and Determinants
Q4725A parabola has the origin as its focus and the line x=2 as the directrix. Then the vertex of the parabola is at:Coordinate Geometry
Q4788How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?Permutations and Combinations
Q4813In a shop there are five types of ice-cream available. A child buys six ice-cream. Statement - 1: The number of different ways the child can buy the six…Permutations and Combinations
Q4902A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P(A B) is:Statistics and Probability
Q4937It is given that the events A and B are such that P(A) = 1/4,P(A|B) = 1/2 and P(B|A) = 2/3. Then P(B) is:Statistics and Probability
Q5052The quadratic equations x² - 6x + a = 0 and x² - cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the…Complex Numbers and Quadratic Equations
Q5066STATEMENT - 1: For every natural number n ≥ 2, 1/(1) + 1/(2) +........ + 1/(n) > n. STATEMENT - 2: For every natural number n ≥ 2,, √(n(n + 1)) < n + 1.Complex Numbers and Quadratic Equations
Q5244The first two terms of a geometric progression add up to 12. the sum of the third and the fourth terms is 48. If the terms of the geometric progression are…Sequence and Series
Q5370Let R be the real line. Consider the following subsets of the plane R × R: S = (x,y):y = x + 1 and 0 < x < 2 T = \ (x,y): x - y is an int eger \, Which one of…Sets, Relations and Functions
Q5424The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?Statistics and Probability
Q5586The perpendicular bisector of the line segment joining P(1, 4) and Q(k, 3) has y-intercept -4. Then a possible value of k is:Coordinate Geometry
Q5684The non-zero vectors are a, b and c are related by a = 8 b and c = - 7 b. Then the angle between a and c is:Vector Algebra
Q5712The vector a = α i + 2 j + β k lies in the plane of the vectors b = i + j and c = j + k and bisects the angle between b and c.Then which one of the following…Vector Algebra