2013 · Shift 1
60 questions · JEE AdvancedGuest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
2013 · Shift 1
60 questions · JEE Advanced
Structure of AtomChemistry · 1 questionsBiomoleculesChemistry · 2 questionsThermodynamicsChemistry · 2 questionsIonic EquilibriumChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsSurface ChemistryChemistry · 1 questionsIsolation of ElementsChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 1 questionsCoordination CompoundsChemistry · 3 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsP Block ElementsChemistry · 1 questionsSolid StateChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsHydrocarbonsChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsTrigonometric Functions and EquationsMathematics · 2 questionsSequences and SeriesMathematics · 2 questionsComplex NumbersMathematics · 1 questionsMathematical Induction and Binomial TheoremMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questions3D GeometryMathematics · 2 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsEllipseMathematics · 1 questionsInverse Trigonometric FunctionsMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsMatrices and DeterminantsMathematics · 1 questionsApplication of IntegrationMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsProbabilityMathematics · 2 questionsVector AlgebraMathematics · 1 questionsRotational MotionPhysics · 1 questionsGeometrical OpticsPhysics · 2 questionsWork Power and EnergyPhysics · 3 questionsImpulse and MomentumPhysics · 1 questionsProperties of MatterPhysics · 2 questionsHeat and ThermodynamicsPhysics · 2 questionsElectrostaticsPhysics · 1 questionsCapacitorPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsWave OpticsPhysics · 1 questionsWavesPhysics · 1 questionsMagnetismPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsAtoms and NucleiPhysics · 1 questions
- Q1.The atomic masses of He and Ne are 4 and 20 a.m.u., respectively. The value of the de Broglie wavelength of He gas at –73oC is “M” times that of the de Broglie wavelength of Ne at 727oC. M isChemistry · Structure of Atom · Numerical
- Q2.The total number of lone-pairs of electrons in melamine isChemistry · Biomolecules · Numerical
- Q3.The standard enthalpies of formation of (g), (l) and glucose(s) at 25oC are –400 kJ/mol, –300 kJ/mol and –1300 kJ/mol, respectively. The standard enthalpy of combustion per gram of glucose at 25oC isChemistry · Thermodynamics · MCQ
- Q4.The initial rate of hydrolysis of methyl acetate (1M) by a weak acid (HA, 1M) is 1/100th of that of a strong acid (HX, 1M), at 25oC. The Ka of HA isChemistry · Ionic Equilibrium · Multiple correct
- Q5.The hyperconjugative stabilities of tert-butyl cation and 2-butene, respectively, are due toChemistry · Basics of Organic Chemistry · Multiple correct
- Q6.Methylene blue, from its aqueous solution, is adsorbed on activated charcoal at 25oC. For this process, the correct statement isChemistry · Surface Chemistry · MCQ
- Q7.Benzene and naphthalene form an ideal solution at room temperature. For this process, the true statement(s) is(are)Chemistry · Thermodynamics · Multiple correct
- Q8.Sulphide ores are common for the metalsChemistry · Isolation of Elements · MCQ
- Q9.KI in acetone, undergoes SN2 reaction with each of P, Q, R and S. The rates of the reaction vary as Includes diagramChemistry · Haloalkanes and Haloarenes · MCQ
- Q10.The compound that does NOT liberate , on treatment with aqueous sodium bicarbonate solution, isChemistry · Alcohols Phenols and Ethers · MCQ
- Q11.Consider the following complex ions : P, Q and R. , and The correct order of the complex ions, according to their spin-only magnetic moment values (in…Chemistry · Coordination Compounds · MCQ
- Q12.In the reaction, P + Q R + S, the time taken for 75% reaction of P is twice the time taken for 50% reaction of P. The concentration of Q varies with reaction time as shown in the figure. The overall order of the reaction is Includes diagramChemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
- Q13.Concentrated nitric acid, upon long standing, turns yellow-brown due to the formation ofChemistry · P Block Elements · MCQ
- Q14.The arrangement of X ions around A+ ion in solid AX is given in the figure (not drawn to scale). If the radius of X is 250 pm, the radius of A+ is Includes diagramChemistry · Solid State · MCQ
- Q15.Upon treatment with ammoniacal , the metal ion that precipitates as a sulphide isChemistry · D and F Block Elements · MCQ
- Q16.The pair(s) of coordination complexes/ions exhibiting the same kind of isomerism is(are)Chemistry · Coordination Compounds · Multiple correct
- Q17.Among P, Q, R and S, the aromatic compound(s) is(are) Includes diagramChemistry · Hydrocarbons · Multiple correct
- Q18.The total number of carboxylic acid groups is the product P is . Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
- Q19. is ethylenediaminetetraacetate ion. The total number of N Co O bond angles in complex ion is .Chemistry · Coordination Compounds · Numerical
- Q20.A tetrapeptide has COOH group on alanine. This produces glycine (Gly), valine (Val), phenyl alanine (Phe) and alanine (Ala), on complete hydrolysis. For this tetrapeptide, the number of possible sequences (primary structures) with …Chemistry · Biomolecules · Numerical
- Q21.Let Then for all natural numbers vanishes atMathematics · Trigonometric Functions and Equations · Multiple correct
- Q22.A pack contains cards numbered from to Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is If the smaller of the numbers on the removed cards is then …Mathematics · Sequences and Series · Numerical
- Q23.Let complex numbers lie on circles and …Mathematics · Complex Numbers · MCQ
- Q24.The number of points in for which isMathematics · Trigonometric Functions and Equations · MCQ
- Q25.The coefficient of three consecutive terms of are in the ratio Then =Mathematics · Mathematical Induction and Binomial Theorem · Numerical
- Q26.Consider the set of eight vectors . Three non-coplanar vectors can be chosen from v in ways. Then p isMathematics · Permutations and Combinations · Numerical
- Q27.Let Then can take value(s)Mathematics · Sequences and Series · Multiple correct
- Q28.Perpendiculars are drawn from points on the line to the plane . The foot of perpendiculars lie on the lineMathematics · 3D Geometry · MCQ
- Q29.For the distance between and the point of intersection of the lines and is less than . ThenMathematics · Straight Lines and Pair of Straight Lines · MCQ
- Q30.A vertical line passing through the point intersects the ellipse at the points and . Let the tangents to the ellipse at and meet at the point . If …Mathematics · Ellipse · Numerical
- Q31.The value of isMathematics · Inverse Trigonometric Functions · MCQ
- Q32.A rectangular sheet of fixed perimeter with sides having their lengths in the ratio is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed…Mathematics · Application of Derivatives · Multiple correct
- Q33.For 3 × 3 matrices M and N, which of the following statement(s) is(are) NOT correct?Mathematics · Matrices and Determinants · Multiple correct
- Q34.The area enclosed by the curves and over the interval isMathematics · Application of Integration · MCQ
- Q35.Let (the set of all real number) be a positive, non-constant and differentiable function such that and …Mathematics · Definite Integration · MCQ
- Q36.A curve passes through the point . Let the slope of the curve at each point be Then the equation of the curve isMathematics · Differential Equations · MCQ
- Q37.Four persons independently solve a certain problem correctly with probabilities Then the probability that the problem is solved correctly by at least one of them isMathematics · Probability · MCQ
- Q38.Of the three independent events and the probability that only occurs is only occurs is and only occurs is Let the probability that none of events…Mathematics · Probability · Numerical
- Q39.A line passing through the origin is perpendicular to the lines …Mathematics · 3D Geometry · Multiple correct
- Q40.Let and determine diagonals of a parallelogram and …Mathematics · Vector Algebra · MCQ
- Q41.A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s-1 about its own axis, which is vertical. Two uniform circular rings, each of mass 6.25 kg and radius 0.2 m, are gently placed…Physics · Rotational Motion · Numerical
- Q42.The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is times the wavelength in free space. The…Physics · Geometrical Optics · MCQ
- Q43.The work done on a particle of mass m by a force (K being a constant of appropriate…Physics · Work Power and Energy · MCQ
- Q44.A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in m/s) of the particle is zero, the speed (in m/s) after 5 s isPhysics · Work Power and Energy · Numerical
- Q45.A particle of mass m is projected from the ground with an initial speed u0 at an angle with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which…Physics · Impulse and Momentum · MCQ
- Q46.A bob of mass m, suspended by a string of length l1 is given a minimum velocity required to complete a full circle in the vertical plane. At the highest point, it collides elastically with another bob of mass m suspended by a string of…Physics · Work Power and Energy · Numerical
- Q47.One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the…Physics · Properties of Matter · MCQ
- Q48.A solid sphere of radius R and density is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3 . The complete arrangement is…Physics · Properties of Matter · Multiple correct
- Q49.Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities isPhysics · Heat and Thermodynamics · MCQ
- Q50.Two non-conducting solid spheres of radii and having uniform volume charge densities and respectively, touch each other. The net electric field at a distance from the center of the smaller sphere,…Physics · Electrostatics · MCQ
- Q51.In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance The switch is pressed first to fully charge the capacitor and then released. The switch is then pressed to charge… Includes diagramPhysics · Capacitor · Multiple correct
- Q52.The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45…Physics · Units and Measurements · MCQ
- Q53.A ray of light travelling in the direction is incident on a plane mirror. After reflection, it travels along the direction …Physics · Geometrical Optics · MCQ
- Q54.Two rectangular blocks, having identical dimensions, can be arranged in either configuration-I or configuration-II as shown in the figure. One of the blocks has thermal conductivity and the other 2 . The temperature… Includes diagramPhysics · Heat and Thermodynamics · MCQ
- Q55.A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and the speed of light is 3 108 ms 1. The final momentum of the object isPhysics · Electromagnetic Waves · MCQ
- Q56.In the Young's double-slit experiment using a monochromatic light of wavelength , the path difference (in terms of an integer n) corresponding to any point having half the peak intensity isPhysics · Wave Optics · MCQ
- Q57.A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation y(x, t) = (0.01 m) sin[(62.8 m 1)x] cos[(628 s 1)t] Assuming = 3.14, the correct statement(s) is(are)Physics · Waves · Multiple correct
- Q58.A particle of mass M and positive charge Q, moving with a constant velocity ms 1 enters a region of uniform static magnetic field, normal to the xy plane. The region of the magnetic field extends…Physics · Magnetism · Multiple correct
- Q59.The work functions of silver and sodium are 4.6 and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for silver to that of sodium is .Physics · Dual Nature of Radiation · Numerical
- Q60.A freshly prepared sample of a radioisotope of half-life 1386 s has activity 103 disintegrations per second. Given that ln2 = 0.693, the fraction of the initial number of nuclei (expressed in nearest integer percentage) that will decay in…Physics · Atoms and Nuclei · Numerical