2011 · Shift 1
69 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.
2011 · Shift 1
69 questions · JEE Advanced
Surface ChemistryChemistry · 1 questionsCoordination CompoundsChemistry · 1 questionsGaseous StateChemistry · 2 questionsBasics of Organic ChemistryChemistry · 2 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsIsolation of ElementsChemistry · 1 questionsStructure of AtomChemistry · 2 questionsRedox ReactionsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsElectrochemistryChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsP Block ElementsChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsSalt AnalysisChemistry · 3 questionsS Block ElementsChemistry · 1 questionsHydrocarbonsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsComplex NumbersMathematics · 1 questionsTrigonometric Functions and EquationsMathematics · 2 questionsQuadratic Equation and InequalitiesMathematics · 3 questionsSequences and SeriesMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsHyperbolaMathematics · 1 questionsParabolaMathematics · 1 questionsDifferentiationMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsApplication of IntegrationMathematics · 1 questionsProbabilityMathematics · 2 questionsVector AlgebraMathematics · 2 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsMatrices and DeterminantsMathematics · 4 questionsDifferential EquationsMathematics · 1 questionsUnits and MeasurementsPhysics · 1 questionsMagnetismPhysics · 3 questionsLaws of MotionPhysics · 2 questionsRotational MotionPhysics · 3 questionsHeat and ThermodynamicsPhysics · 2 questionsWavesPhysics · 1 questionsElectrostaticsPhysics · 3 questionsCapacitorPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsCurrent ElectricityPhysics · 1 questionsProperties of MatterPhysics · 1 questionsSimple Harmonic MotionPhysics · 3 questionsDual Nature of RadiationPhysics · 1 questions
- Q1.The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)Chemistry · Surface Chemistry · Multiple correct
- Q2.Geometrical shapes of the complexes formed by the reaction of with , and respectively areChemistry · Coordination Compounds · MCQ
- Q3.According to kinetic theory of gasesChemistry · Gaseous State · Multiple correct
- Q4.To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mol of He and 1.0 mol of an unknown compound (vapour pressure 0.68 atm, at 0oC) are introduced. Considering the ideal gas behaviour, the total volume (in…Chemistry · Gaseous State · Numerical
- Q5.Among the following compounds, the most acidic isChemistry · Basics of Organic Chemistry · MCQ
- Q6.Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solution isChemistry · Some Basic Concepts of Chemistry · MCQ
- Q7.Extraction of metal from the ore cassiterite involvesChemistry · Isolation of Elements · Multiple correct
- Q8.The maximum number of electrons that can have principal quantum number, n = 3, and spin quantum number, ms = − 1/2 , isChemistry · Structure of Atom · Numerical
- Q9.The work function ( φ ) of some metals is listed below. The number of metals which will show photoelectric effect when light of 300 nm wavelength falls on the metal is Includes tableChemistry · Structure of Atom · Numerical
- Q10.The difference in the oxidation numbers of the two types of sulphur atoms in isChemistry · Redox Reactions · Numerical
- Q11.Bombardment of aluminium by -particle leads to its artificial disintegration in two ways : (i) and (ii) as shown. Products X, Y and Z, respectively, are Includes diagramChemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
- Q12.(aq.) was added to an aqueous solution gradually and the conductivity of the solution was measured. The plot of conductance () versus the volume of is Includes diagramChemistry · Electrochemistry · MCQ
- Q13.The major product of the following reaction is Includes diagramChemistry · Compounds Containing Nitrogen · MCQ
- Q14.Extra very pure can be obtained by heatingChemistry · P Block Elements · MCQ
- Q15.Among the given options, the compound(s) in which all the atoms are in one plane in all the possible conformations (if any) is(are)Chemistry · Basics of Organic Chemistry · Multiple correct
- Q16.An acyclic hydrocarbon P, having molecular formula {}_{10}$, gave acetone as the only organic product through the following sequence of reactions, in which Q is an intermediate organic compound. The structure of compound P is Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q17.An acyclic hydrocarbon P, having molecular formula C6H, gave acetone as the only organic product through the following sequence of reactions, in which Q is an intermediate organic compound. The structure of the compound Q is Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q18.When a metal rod M is dipped into an aqueous colourless concentrated solution of compound N, the solution turns light blue. Addition of aqueous to the blue solution gives a white precipitate O. Addition of aqueous dissolves O…Chemistry · Salt Analysis · MCQ
- Q19.When a metal rod M is dipped into an aqueous colourless concentrated solution of compound N, the solution turns light blue. Addition of aqueous to the blue solution gives a white precipitate O. Addition of aqueous dissolves O…Chemistry · Salt Analysis · MCQ
- Q20.When a metal rod M is dipped into an aqueous colourless concentrated solution of compound N, the solution turns light blue. Addition of aqueous to the blue solution gives a white precipitate O. Addition of aqueous dissolves O…Chemistry · Salt Analysis · MCQ
- Q21.Reaction of with in aqueous solution gives sodium bromide and sodium bromate with evolution of gas. The number of sodium bromide molecules involved in the balanced chemical equation is .Chemistry · S Block Elements · Numerical
- Q22.The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentylhexane using alcoholic KOH is .Chemistry · Hydrocarbons · Numerical
- Q23.A decapeptide (mol. wt. 796) on complete hydrolysis gives glycine (mol. wt. 75), alanine and phenylalanine. Glycine contributes 47.0% to the total weight of the hydrolysed products. The number of glycine units present in the decapeptide is…Chemistry · Biomolecules · Numerical
- Q24.If z is any complex number satisfying , then the minimum value of isMathematics · Complex Numbers · Numerical
- Q25.The positive integer value of satisfying the equation isMathematics · Trigonometric Functions and Equations · Numerical
- Q26.The minimum value of the sum of real numbers and where isMathematics · Quadratic Equation and Inequalities · Numerical
- Q27.Let and be the roots of with If for then the value of isMathematics · Quadratic Equation and Inequalities · MCQ
- Q28.Let be the solution of the following equations Then …Mathematics · Quadratic Equation and Inequalities · MCQ
- Q29.Let , , ........ be an arithmetic progression with = 3 and . For any integer n with , let m = 5n. If …Mathematics · Sequences and Series · Numerical
- Q30.A straight line through the point is inclined at an angle to the line If also intersects the x-axis, then the equation of isMathematics · Straight Lines and Pair of Straight Lines · MCQ
- Q31.Let the eccentricity of the hyperbola be reciprocal to that of the ellipse . If the hyperbola passes through a focus of the ellipse, thenMathematics · Hyperbola · Multiple correct
- Q32.Consider the parabola . Let be the area of the triangle formed by the end points of its latus rectum and the point on the parabola and be the area of the triangle…Mathematics · Parabola · Numerical
- Q33.Let where Then the value of …Mathematics · Differentiation · Numerical
- Q34.The value of isMathematics · Definite Integration · MCQ
- Q35.Let the straight line divide the area enclosed by and into two parts and such that …Mathematics · Application of Integration · MCQ
- Q36.Let and be two urns such that contains white and red balls, and contains only white ball. A fair coin is tossed. If head appears then ball is drawn at random from and put into…Mathematics · Probability · MCQ
- Q37.Let and be two urns such that contains white and red balls, and contains only white ball. A fair coin is tossed. If head appears then ball is drawn at random from and put into…Mathematics · Probability · MCQ
- Q38.Let and be three vectors. A vector in…Mathematics · Vector Algebra · MCQ
- Q39.The vector (s) which is/are coplanar with vectors and and perpendicular to the vector is/areMathematics · Vector Algebra · Multiple correct
- Q40.Let and be two sets. ThenMathematics · Trigonometric Functions and Equations · MCQ
- Q41.Let f : R R be a function such that . If f(x) is differentiable at x = 0, thenMathematics · Limits Continuity and Differentiability · Multiple correct
- Q42.Let M and N be two 3 3 non-singular skew symmetric matrices such that MN = NM. If PT denotes the transpose of P, then M2N2(MTN) 1(MN 1)T is equal toMathematics · Matrices and Determinants · Multiple correct
- Q43.Let a, b and c be three real numbers satisfying …Mathematics · Matrices and Determinants · MCQ
- Q44.Let a, b and c be three real numbers satisfying …Mathematics · Matrices and Determinants · MCQ
- Q45.Let a, b and c be three real numbers satisfying …Mathematics · Matrices and Determinants · MCQ
- Q46.Let be a differentiable function such that . If for all , then the value of f(2) is .Mathematics · Differential Equations · Numerical
- Q47.A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded by free electrons can be treated as neutral plasma. Let 'N' be the number density of free…Physics · Units and Measurements · MCQ
- Q48.A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing fixed positive ions surrounded by free electrons can be treated as neutral plasma. Let 'N' be the number density of free…Physics · Magnetism · MCQ
- Q49.A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value… Includes diagramPhysics · Laws of Motion · MCQ
- Q50.A block is moving on an inclined plane making an angle with the horizontal and the coefficient of friction is . The force required to just push it up the inclined plane is 3 times the force required to just prevent it from…Physics · Laws of Motion · Numerical
- Q51.Four solid spheres each of diameter cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4 cm. The moment of inertia of the system about the diagonal of the square is N 10−4 kg-m2, then N is Includes diagramPhysics · Rotational Motion · Numerical
- Q52.5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be T1, the work done in the process isPhysics · Heat and Thermodynamics · MCQ
- Q53.Steel wire of lenght ‘L’ at 40oC is suspended from the ceiling and then a mass ‘m’ is hung from its free end. The wire is cooled down from 40oC to 30oC to regain its original length ‘L’. The coefficient of linear thermal expansion of the…Physics · Heat and Thermodynamics · Numerical
- Q54.A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of the siren heard by the car driver isPhysics · Waves · MCQ
- Q55.Consider an electric field where is a constant. The flux through the shaded area (as shown in the figure) due to this field is Includes diagramPhysics · Electrostatics · MCQ
- Q56.A capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch is turned to position is Includes diagramPhysics · Capacitor · MCQ
- Q57.A spherical metal shell A of radius and a solid metal sphere of radius are kept far apart and each is given charge Now they are connected by a thin metal wire. ThenPhysics · Electrostatics · Multiple correct
- Q58.The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 . The wavelength of the second spectral line in the Balmer series of singly-ionized helium atom isPhysics · Atoms and Nuclei · MCQ
- Q59.A meter bridge is set up as shown, to determine an unknown resistance X using a standard 10 resistor. The galvanometer shows null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm, respectively, for… Includes diagramPhysics · Current Electricity · MCQ
- Q60.A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( < L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached : (case A). The disc is not free to rotate… Includes diagramPhysics · Rotational Motion · Multiple correct
- Q61.A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of length, L) as shown in the figure. All slabs are of same width. Heat Q flows only from… Includes diagramPhysics · Properties of Matter · Multiple correct
- Q62.An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform magnetic field perpendicular to the velocity. Which of the following statement(s) is/are true?Physics · Magnetism · Multiple correct
- Q63.Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagramPhysics · Simple Harmonic Motion · MCQ
- Q64.Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagramPhysics · Simple Harmonic Motion · MCQ
- Q65.Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems… Includes diagramPhysics · Simple Harmonic Motion · MCQ
- Q66.A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of 2 N on the ring and rolls it without slipping with an acceleration of 0.2 m/s2. The coefficient of friction between the… Includes diagramPhysics · Rotational Motion · Numerical
- Q67.Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side a. The surface tension of the soap film is . The system of charges and planar film are in equilibrium, and …Physics · Electrostatics · Numerical
- Q68.The activity of a freshly prepared radioactive sample is 1010 disintegrations per second, whose mean life is 109 s. The mass of an atom of this radioisotope is 10 25 kg. The mass (in mg) of the radioactive sample is …Physics · Dual Nature of Radiation · Numerical
- Q69.A long circular tube of length 10 m and radius 0.3 m carries a current I along its curved surface as shown. A wire-loop of resistance 0.005 and of radius 0.1 m is placed inside the tube with its axis coinciding with the axis of… Includes diagramPhysics · Magnetism · Numerical