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 2012 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 2012Annual, Paper 1

Physics 20Chemistry 26Mathematics 28

Physics

Q5972Hydrogen atom is excited from ground state to another state with principal quantum number equal to 4. Then the number of spectral lines in the emission…Atoms and Nuclei
Q5973A diatomic molecule is made of two masses m₁ and m₂ which are separated by a distance r. If we calculate its rotational energy by applying Bohr's rule of…Atoms and Nuclei
Q6043Assume that a neutron breaks into a proton and an electron. The energy released during this process is: (mass of neutron = 1.6725 × 10⁻²⁷kg, mass of proton =…Atoms and Nuclei
Q6263Two cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂, respectively. Their speeds are such that they make complete circles in the same time t…Kinematics
Q6302A radar has a power of 1kW and is operating at a frequency of 10 GHz. It is located on a mountain top of height 500 m. The maximum distance upto which it can…Communication Systems
Q6417Two electric bulbs marked 25W - 220 V and 100W - 220V are connected in series to a 440 V supply. Which of the bulbs will fuse?Current Electricity
Q6528This question has Statement 1 and Statement 2. Of the four choices given after the statements, choose the one that best describes the two statements…Dual Nature of Matter and Radiation
Q6695A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil…Electromagnetic Induction and Alternating Currents
Q6732An electromagnetic wave in vacuum has the electric and magnetic field E^ → and B^ →, which are always perpendicular to each other. The direction of…Electromagnetic Waves
Q7001This question has statement- 1 and statement- 2. Of the four choices given after the statements, choose the one that best describe the two statements. An…Electrostatics
Q7028An object 2.4 m in front of a lens forms a sharp image on a film 12 cm behind the lens. A glass plate 1 cm thick, of refractive index 1.50 is interposed…Optics
Q7179The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R (radius of earth) are 10 m/s² and…Gravitation
Q7740Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, denuteron…Magnetic Effects of Current and Magnetism
Q7777A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will beKinematics
Q8115If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the…Oscillations and Waves
Q8289Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the…Units and Measurements
Q8352A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Vernier scale reading: 09 divisions…Experimental Skills
Q8415In Young's double slit experiment, one of the slit is wider than other, so that amplitude of the light from one slit is double of that from other slit. If I m…Optics
Q8481A cylindrical tube, open at both ends, has a fundamental frequency, f, in air. The tube is dipped vertically in water so that half of it is in water. The…Oscillations and Waves
Q8574This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. If two…Work, Energy and Power

Chemistry

Q24Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because:Organic Compounds Containing Oxygen
Q150Which of the following compounds can be detected by Molisch’s test ?Biomolecules
Q193Which one of the following statements is correct ?Biomolecules
Q284In which of the following pairs the two species are not isostructural ?Chemical Bonding and Molecular Structure
Q403The equilibrium constant (K C) for the reaction N₂(g) + O₂(g) → 2NO(g) at temperature T is 4 × 10^–4. The value of K C for the reaction, NO(g) → 1/2N₂(g) +…Equilibrium
Q467For a first order reaction, (A) → products, the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. The rate of reaction when the concentration of…Chemical Kinetics
Q699Which among the following will be named as dibromidobis (ethylene diamine) chromium(III) bromide?Coordination Compounds
Q853Iron exhibits + 2 and +3 oxidation states. Which of the following statements about iron is incorrect?d- and f-Block Elements
Q977The standard reduction potentials for Zn²⁺/ Zn, Ni²⁺/ Ni, and Fe²⁺/ Fe are –0.76, –0.23 and –0.44 V respectively. The reaction X + Y²⁺ → X²⁺ + Y will be…Redox Reactions and Electrochemistry
Q1124The compressibility factor for a real gas at high pressure is:Gaseous State
Q1140How many chiral compounds are possible on monochlorination of 2–methyl butane ?Organic Compounds Containing Halogens
Q1161What is DDT among the following?Organic Compounds Containing Halogens
Q1162Iodoform can be prepared from all except:Organic Compounds Containing Halogens
Q11892–Hexyne gives trans–2–Hexene on treatment with:Hydrocarbons
Q1240Very pure hydrogen (99.9%) can be made by which of the following processes?Hydrogen
Q1295The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, K a of this acid is:Equilibrium
Q1431Which method of purification is represented by the following equation: Ti (s) + 2I₂ (g) 523K TiI₄ (g) 1700K Ti (s) + 2I₂ (g)Isolation of Elements
Q1482The molecule having smallest bond angle is:p-Block Elements
Q1549The increasing order of the ionic radii of the given isoelectronic species is:Classification of Elements and Periodicity in Properties
Q1673The species which can best serve as an initiator for the cationic polymerization is:Polymers
Q1822Which of the following on thermal decomposition yields a basic as well as an acidic oxide?S Block Elements
Q1916Lithium forms body centred cubic structure. The length of the side of its unit cell is 351 pm. Atomic radius of the lithium will be:Solid State
Q1957K f for water is 1.86K kg mol^–1. If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol (C₂H₆O₂) must you add to get the…Solutions
Q2028The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u) in 1000g of water is 1.15 g/mL. The molarity of this solution is:Some Basic Concepts in Chemistry
Q2193The electrons identified by quantum numbers n and l: (a) n = 4, l = 1 (b) n = 4, l = 0 (c) n = 3, l = 2 (d) n = 3, l = 1 Can be placed in order of increasing…Atomic Structure
Q2291The incorrect expression among the following is:Chemical Thermodynamics

Mathematics

Q2484If the line (x - 1)/2 = (y + 1)/3 = (z - 1)/4 and (x - 3)/1 = (y - k)/2 = z/1 intersect, then k is equal to:Three Dimensional Geometry
Q2551A equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit distance from the origin is:Three Dimensional Geometry
Q2629Let a,b R be such that the function f given by f(x) = In| x | + b x² + ax, x ≠ 0 has extreme values at x=-1 and x=2 Statement-1: f has local maximum at x=-1…Limit, Continuity and Differentiability
Q2630A line is drawn through the point (1, 2) to meet the coordinate axes at P and Q such that it forms a triangle OPQ, where O is the origin. If the area of the…Limit, Continuity and Differentiability
Q2741A spherical balloon is filled with 4500π cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72π cubic meters per…Limit, Continuity and Differentiability
Q2801The area between the parabolas x² = y/4 and x² = 9y and the straight line y=2 is:Integral Calculus
Q2950If n is a positive integer, then (3 + 1)²ⁿ - (3 - 1)²ⁿ is:Binomial Theorem and Its Simple Applications
Q3107The length of the diameter of the circle which touches the x -axis at the point (1, 0) and passes through the point (2, 3) is:Coordinate Geometry
Q3176If z ≠ 1 and (z²)/(z - 1) is real, then the point represented by the complex number z lies:Complex Numbers and Quadratic Equations
Q3581The population p (t) at time t of a certain mouse species satisfies the differential equation (dp(t))/dt = 0.5 p(t) - 450. If p(0)=850, then the time at which…Differential Equations
Q3719STATEMENT-1: An equation of a common tangent to the parabola y² = 16 3 x and the ellipse 2x² + y² = 4 is y = 2x + 2 3 STATEMENT-2:If line y = mx + (4 3)/m,(m…Coordinate Geometry
Q3746An ellipse is drawn by taking a diameter of thec circle (x - 1)² + y² = 1 as its semi-minor axis and a diameter of the circle x² + (y - 2)² = 4 is semi-major…Coordinate Geometry
Q4000If the ∫ (5 tan x)/(tan x - 2)dx = x + a ln | sin x - 2 cos x | + k, then a is equal to:Integral Calculus
Q4128If f:R → R is a function defined by f(x) = [ x ] cos ((2x - 1)/2)π, where [x] denotes the greatest integer function, then f isLimit, Continuity and Differentiability
Q4178Consider the function, f(x) = | x - 2 | + | x - 5 |,x R Statement - 1: f'(4) = 0 Statement - 2: f is continuous in [2, 5], differentiable in (2, 5) and f (2)…Limit, Continuity and Differentiability
Q4402The negation of the statement “If I become a teacher, then I will open a school” is:Mathematical Reasoning
Q4517Let P and Q be 3 × 3 matrices P ≠ Q. If P³ = Q³ and P²Q = Q²P then determinant of (P² + Q²) is equal to:Matrices and Determinants
Q4518Let A = (1 0 0 2 1 0 3 2 1). If u₁ and u₂ are column matrices such that A u₁ = (1 0 0) and A u₂ = (0 1 0), then u₁ + u₂ is equal to:Matrices and Determinants
Q4817Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and…Permutations and Combinations
Q4940Three numbers are chosen at random without replacement from 1,2,3,..8 \. The probability that their minimum is 3, given that their maximum is 6, is:Statistics and Probability
Q5026In a Δ PQR, 1mu 1mu 1mu If 3 1mu sin 1mu P + 4 1mu cos 1mu Q = 6 and 4 sin Q + 3 cos P = 1, then the angle R is equal to:Properties of Triangle
Q5091The equation e^(sin x) - e^(- sin x) - 4 = 0 has:Complex Numbers and Quadratic Equations
Q5289Statement-1: The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) +.....+ (361 + 380 + 400) is 8000. Statement-2: Σ k = 1 ⁿ (k³ - (k - 1)³) =…Sequence and Series
Q5351Let X = 1, 2, 3, 4, 5. The number of different ordered pairs (Y, Z) that can be formed such that Y X, Z X and Y Z is empty, is:Sets, Relations and Functions
Q5429Let x₁, x₂,........., x n be n observations, and let x be their arithematic mean and σ ² be their variance. Statement 1: Variance of 2x₁, 2x₂,......., 2x n is…Statistics and Probability
Q5587If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3: 2, then k equals:Coordinate Geometry
Q5763Let a and b be two unit vectors. If the vectors c = a + 2 b and d = 5 a - 4 b are perpendicular to each other, then the angle between a and b is:Vector Algebra
Q5764Let ABCD be a parallelogram such that AB = q,AD = p and BAD be an acute angle. If r is the vector that coincide with the altitude directed from the vertex B…Vector Algebra