2020 · 2 Sep · Shift 2
65 questions · JEE MainGuest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
2020 · 2 Sep · Shift 2
65 questions · JEE Main
ElectrochemistryChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsStructure of AtomChemistry · 2 questionsRedox ReactionsChemistry · 1 questionsThermodynamicsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 2 questionsChemical Bonding and Molecular StructureChemistry · 3 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsSolutionsChemistry · 1 questionsCoordination CompoundsChemistry · 2 questionsPractical Organic ChemistryChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 2 questionsPeriodic Table and PeriodicityChemistry · 1 questionsMatrices and DeterminantsMathematics · 2 questionsFunctionsMathematics · 1 questionsTrigonometric Ratio and IdentitesMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsParabolaMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsVector AlgebraMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsDifferentiationMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsStatisticsMathematics · 1 questionsArea Under the CurvesMathematics · 1 questionsProbabilityMathematics · 1 questionsHyperbolaMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsComplex NumbersMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsAlternating CurrentPhysics · 1 questionsElectronic DevicesPhysics · 1 questionsElectrostaticsPhysics · 2 questionsRotational MotionPhysics · 1 questionsGravitationPhysics · 1 questionsDual Nature of RadiationPhysics · 1 questionsCapacitorPhysics · 2 questionsMagneticsPhysics · 2 questionsProperties of MatterPhysics · 2 questionsSimple Harmonic MotionPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsWave OpticsPhysics · 1 questionsGeometrical OpticsPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsCenter of MassPhysics · 2 questions
- Q1.For the disproportionation reaction 2(aq) ⇌ (s) + (aq) at 298 K. ln K (where K is the equilibrium constant) is × 10–1. Given : (…Chemistry · Electrochemistry · Numerical
- Q2.The ratio of the mass percentages of ‘C & H’ and ‘C & O’ of a saturated acyclic organic compound ‘X’ are 4 : 1 and 3 : 4 respectively. Then, the moles of oxygen gas required for complete combustion of two moles of organic compound…Chemistry · Some Basic Concepts of Chemistry · Numerical
- Q3.The work function of sodium metal is 4.41 10–19 J. If photons of wavelength 300 nm are incident on the metal, the kinetic energy of the ejected electrons will be (h = 6.63 10–34 J s; c = 3 108 m/s) …Chemistry · Structure of Atom · Numerical
- Q4.The oxidation states of transition metal atoms in , and , respectively, are x, y and z. The sum of x, y and z is .Chemistry · Redox Reactions · Numerical
- Q5.The heat of combustion of ethanol into carbon dioxide and water is – 327 kcal at constant pressure. The heat evolved (in cal) at constant volume and 27oC (if all gases behave ideally) is (R = 2 cal mol–1 K–1) .Chemistry · Thermodynamics · Numerical
- Q6.The correct observation in the following reactions is : Includes diagramChemistry · Biomolecules · MCQ
- Q7.The major product of the following reaction is : Includes diagramChemistry · Alcohols Phenols and Ethers · MCQ
- Q8.The shape / structure of and , respectively, areChemistry · Chemical Bonding and Molecular Structure · MCQ
- Q9.An organic compound ‘A’ () when treated with conc. undergoes cleavage to yield compounds ‘B’ and ‘C’. ‘B’ gives yellow precipitate with where as ‘C’ tautomerizes to ‘D’. ‘D’ gives positive iodoform test. ‘A’ could…Chemistry · Alcohols Phenols and Ethers · MCQ
- Q10.The molecular geometry of is octahedral. What is the geometry of (including lone pair(s) of electrons, if any)?Chemistry · Chemical Bonding and Molecular Structure · MCQ
- Q11.Two compounds A and B with same molecular formula () undergo Grignard’s reaction with methylmagnesium bromide to give products C and D. Products C and D show following chemical tests. C and D respectively are : Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q12.Match the type of interaction in column A with the distance dependence of their interaction energy in column B Includes tableChemistry · Chemical Bonding and Molecular Structure · MCQ
- Q13.The results given in the below table were obtained during kinetic studies of the following reaction 2A + B C + D X and Y in the given table are respectively : Includes diagramChemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
- Q14.The size of a raw mango shrinks to a much smaller size when kept in a concentrated salt solution. Which one of the following processes can explain this?Chemistry · Solutions · MCQ
- Q15.The one that is not expected to show isomerism is :Chemistry · Coordination Compounds · MCQ
- Q16.Simplified absorption spectra of three complexes ((i), (ii) and (iii)) of ion are provided below; their max values are marked as A, B and C respectively. The correct match between the complexes and their max… Includes diagramChemistry · Coordination Compounds · MCQ
- Q17.If you spill a chemical toilet cleaning liquid on your hand, your first aid would beChemistry · Practical Organic Chemistry · MCQ
- Q18.The number of subshells associated with n = 4 and m = –2 quantum numbers isChemistry · Structure of Atom · MCQ
- Q19.The major product obtained from E2 - elimination of 3-bromo-2-fluoropentane isChemistry · Haloalkanes and Haloarenes · MCQ
- Q20.Three elements X, Y and Z are in the 3rd period of the periodic table. The oxides of X, Y and Z, respectively, are basic, amphoteric and acidic. The correct order of the atomic numbers of X, Y and Z is :Chemistry · Periodic Table and Periodicity · MCQ
- Q21.Consider the reaction sequence given below: Which of the following statements is true? Includes diagramChemistry · Haloalkanes and Haloarenes · MCQ
- Q22.Arrange the following labelled hydrogens in decreasing order of acidity : Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q23.Let a, b, c R be all non-zero and satisfy a3 + b3 + c3 = 2. If the matrix A = satisfies ATA = I, then a value of abc can…Mathematics · Matrices and Determinants · MCQ
- Q24.Let f : R R be a function which satisfies f(x + y) = f(x) + f(y) x, y R. If f(1) = 2 and g(n) =, n N then the value of n, for which g(n) = 20,…Mathematics · Functions · MCQ
- Q25.If the equation cos4 + sin4 += 0 has real solutions for , then lies in the interval :Mathematics · Trigonometric Ratio and Identites · MCQ
- Q26.Let f(x) be a quadratic polynomial such that f(–1) + f(2) = 0. If one of the roots of f(x) = 0 is 3, then its other root lies in :Mathematics · Quadratic Equation and Inequalities · MCQ
- Q27.Let n > 2 be an integer. Suppose that there are n Metro stations in a city located along a circular path. Each pair of stations is connected by a straight track only. Further, each pair of nearest stations is connected by blue line,…Mathematics · Permutations and Combinations · MCQ
- Q28.The area (in sq. units) of an equilateral triangle inscribed in the parabola y2 = 8x, with one of its vertices on the vertex of this parabola, is :Mathematics · Parabola · MCQ
- Q29.If the sum of first 11 terms of an A.P., a1, a2, a3, .... is 0 (a 0), then the sum of the A.P., a1 , a3 , a5 ,....., a23 is ka1 , where k is equal to :Mathematics · Sequences and Series · MCQ
- Q30.If a curve y = f(x), passing through the point (1, 2), is the solution of the differential equation, 2x2dy= (2xy + y2)dx, then is equal to :Mathematics · Differential Equations · MCQ
- Q31.Let the position vectors of points 'A' and 'B' be and , respectively. A point 'P' divides the line segment AB internally in the ratio : 1…Mathematics · Vector Algebra · Numerical
- Q32.Let [t] denote the greatest integer less than or equal to t. Then the value of is .Mathematics · Definite Integration · Numerical
- Q33.If y = , then at x = 0 is .Mathematics · Differentiation · Numerical
- Q34.The set of all possible values of in the interval (0, ) for which the points (1, 2) and (sin , cos ) lie on the same side of the line x + y = 1 is :Mathematics · Straight Lines and Pair of Straight Lines · MCQ
- Q35.If the variance of the terms in an increasing A.P., b1 , b2 , b3 ,....,b11 is 90, then the common difference of this A.P. is .Mathematics · Statistics · Numerical
- Q36.Let A = {X = (x, y, z)T: PX = 0 and x2 + y2 + z2 = 1} where , then the set A :Mathematics · Matrices and Determinants · MCQ
- Q37.Consider a region R = {(x, y) R : x2 y 2x}. if a line y = divides the area of region R into two equal parts, then which of the following is true?Mathematics · Area Under the Curves · MCQ
- Q38.Let EC denote the complement of an event E. Let E1 , E2 and E3 be any pairwise independent events with P(E1) > 0 and P(E1 E2 E3) = 0. Then P() is equal to :Mathematics · Probability · MCQ
- Q39.For some , if the eccentricity of the hyperbola, x2–y2sec2 = 10 is times the eccentricity of the ellipse, x2sec2 + y2 = 5, then the length of the latus rectum of the…Mathematics · Hyperbola · MCQ
- Q40. is equal to :Mathematics · Limits Continuity and Differentiability · MCQ
- Q41.The imaginary part of can be :Mathematics · Complex Numbers · MCQ
- Q42.Let f : (–1, ) R be defined by f(0) = 1 and f(x) = , x 0. Then the function f :Mathematics · Application of Derivatives · MCQ
- Q43.An inductance coil has a reactance of 100 . When an AC signal of frequency 1000 Hz is applied to the coil, the applied voltage leads the current by 45o. The self-inductance of the coil isPhysics · Alternating Current · MCQ
- Q44.In the following digital circuit, what will be the output at ‘Z’, when the input (A, B) are (1, 0), (0, 0), (1, 1,), (0, 1) Includes diagramPhysics · Electronic Devices · MCQ
- Q45.A charge Q is distributed over two concentric conducting thin spherical shells radii r and R (R > r). If the surface charge densities on the two shells are equal, the electric potential at the common centre is : Includes diagramPhysics · Electrostatics · MCQ
- Q46.Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The moment of inertia and angular velocity of the first disc are 0.1 kg-m2 and 10 rad s–1 respectively…Physics · Rotational Motion · MCQ
- Q47.A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of the following options then correctly describe the… Includes diagramPhysics · Electrostatics · MCQ
- Q48.The height ‘h’ at which the weight of a body will be the same as that at the same depth ‘h’ from the surface of the earth is (Radius of the earth is R and effect of the rotation of the earth is neglected)Physics · Gravitation · MCQ
- Q49.A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878 10–4. The mass of the particle is close toPhysics · Dual Nature of Radiation · MCQ
- Q50.A 10 F capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes 20 V. The capacitance of…Physics · Capacitor · MCQ
- Q51.A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA are perpendicular to each other. If the sides of the rectangles are of lengths a and b, then the magnitude and direction of magnetic moment of… Includes diagramPhysics · Magnetics · MCQ
- Q52.A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide (surface tension = 0.05 Nm–1, density = 667 kg m–3) which rises to height h in the tube. It is observed that the two tangents…Physics · Properties of Matter · MCQ
- Q53.The figure shows a region of length ‘l’ with a uniform magnetic field of 0.3 T in it and a proton entering the region with velocity 4 105 ms–1 making an angle 60o with the field. If the proton completes 10 revolution by the time… Includes diagramPhysics · Magnetics · MCQ
- Q54.The displacement time graph of a particle executing S.H.M is given in figure : (sketch is schematic and not to scale) Which of the following statements is/are true for this motion? (A) The force is zero at t = (B) The… Includes diagramPhysics · Simple Harmonic Motion · MCQ
- Q55.If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energy isPhysics · Units and Measurements · MCQ
- Q56.In a hydrogen atom the electron makes a transition from (n + 1)th level to the nth level. If n >> 1, the frequency of radiation emitted is proportional to :Physics · Atoms and Nuclei · MCQ
- Q57.An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true? (A) the mean free path of the molecules decreases. (B) the mean collision time between the molecules decreases.…Physics · Heat and Thermodynamics · MCQ
- Q58.When the temperature of a metal wire is increased from 0oC to 10oC, its length increases by 0.02%. The percentage change in its mass density will be closest to :Physics · Heat and Thermodynamics · MCQ
- Q59.In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the screen when light of a wavelength 700 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment…Physics · Wave Optics · MCQ
- Q60.A light ray enters a solid glass sphere of refractive index = at an angle of incidence 60o. The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and…Physics · Geometrical Optics · Numerical
- Q61.An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2 . The potential difference (in V) across the capacitor when it is fully charged is . Includes diagramPhysics · Capacitor · Numerical
- Q62.In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by and , respectively. What is the unit vector along direction of propagation of the wave?Physics · Electromagnetic Waves · MCQ
- Q63.A square shaped hole of side l = is carved out at a distance d = from the centre ‘O’ of a uniform circular disk of radius a. If the distance of the centre of mass of the remaining portion form O is $- {a \over… Includes diagramPhysics · Center of Mass · Numerical
- Q64.A particle of mass m is moving along the x-axis with initial velocity . It collides elastically with a particle of mass 10 m at rest and then moves with half its initial kinetic energy (see figure). If … Includes diagramPhysics · Center of Mass · Numerical
- Q65.A wire of density 9 10–3 kg cm–3 is stretched between two clamps 1 m apart. The resulting strain in the wire is 4.9 10–4. The lowest frequency of the transverse vibrations in the wire is : (Young’s modulus of wire Y = 9 …Physics · Properties of Matter · Numerical