2020 · 3 Sep · Shift 2
63 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 · 3 Sep · Shift 2
63 questions · JEE Main
Coordination CompoundsChemistry · 2 questionsAlcohols Phenols and EthersChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 3 questionsD and F Block ElementsChemistry · 1 questionsHaloalkanes and HaloarenesChemistry · 2 questionsIonic EquilibriumChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsPeriodic Table and PeriodicityChemistry · 2 questionsStructure of AtomChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 3 questionsBiomoleculesChemistry · 1 questionsSolutionsChemistry · 1 questionsElectrochemistryChemistry · 1 questionsDefinite IntegrationMathematics · 2 questionsVector AlgebraMathematics · 1 questionsParabolaMathematics · 1 questionsSets and RelationsMathematics · 1 questionsHyperbolaMathematics · 1 questionsMatrices and DeterminantsMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsPermutations and CombinationsMathematics · 1 questionsProbabilityMathematics · 1 questionsDifferential EquationsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsStatisticsMathematics · 1 questionsComplex NumbersMathematics · 1 questionsIndefinite IntegralsMathematics · 1 questionsBinomial TheoremMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsRotational MotionPhysics · 2 questionsMagneticsPhysics · 1 questionsWork Power and EnergyPhysics · 2 questionsGeometrical OpticsPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsAtoms and NucleiPhysics · 2 questionsWave OpticsPhysics · 1 questionsElectromagnetic WavesPhysics · 1 questionsMagnetic Properties of MatterPhysics · 1 questionsElectrostaticsPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsCenter of MassPhysics · 1 questionsCurrent ElectricityPhysics · 1 questionsElectronic DevicesPhysics · 2 questionsDual Nature of RadiationPhysics · 1 questionsGravitationPhysics · 1 questionsSimple Harmonic MotionPhysics · 1 questions
- Q1.The d-electron configuration of and , respectively are :Chemistry · Coordination Compounds · MCQ
- Q2.Consider the following reaction : The product 'P' gives positive ceric ammonium nitrate test. This is because of the presence of which of these –OH group(s)? Includes diagramChemistry · Alcohols Phenols and Ethers · MCQ
- Q3.For the reaction 2A + 3B + C 3P, which statement is correct ?Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
- Q4.Complex A has a composition of . If the complex on treatment with conc. loses 13.5% of its original mass, the correct molecular formula of A is : [Given: atomic mass of Cr = 52 amu and Cl = 35 amu]Chemistry · Coordination Compounds · MCQ
- Q5.Consider the following molecules and statements related to them : (a) (B) is more likely to be crystalline than (A) (b) (B) has higher boiling point than (A) (c) (B) dissolves more readily than (A) in water Identify the correct option from… Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q6.The compound A in the following reaction is : Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q7.The incorrect statement is :Chemistry · D and F Block Elements · MCQ
- Q8.The increasing order of the reactivity of the following compound in nucleophilic addition reaction is : Propanal, Benzaldehyde, Propanone, ButanoneChemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
- Q9.The decreasing order of reactivity of the following compounds towards nucleophilic substitution (SN2) is : Includes diagramChemistry · Haloalkanes and Haloarenes · MCQ
- Q10.The major product in the following reaction is : Includes diagramChemistry · Haloalkanes and Haloarenes · MCQ
- Q11.100 mL of 0.1 M HCl is taken in a beaker and to it 100 mL of 0.1 M NaOH is added in steps of 2 mL and the pH is continuously measured. Which of the following graphs correctly depicts the change in pH?Chemistry · Ionic Equilibrium · MCQ
- Q12.Three isomers A, B and C (mol. formula ) give the following results : R has lower boiling point than S A, B and C, respectively are : Includes diagramChemistry · Compounds Containing Nitrogen · MCQ
- Q13.The five successive ionization enthalpies of an element are 800, 2427, 3658, 25024 and 32824 kJ mol–1. The number of valence electrons in the element is :Chemistry · Periodic Table and Periodicity · MCQ
- Q14.Consider the hypothetical situation where the azimuthal quantum number, , takes values 0, 1, 2, ....., n + 1, where n is the principal quantum number. Then, the element with atomic number :Chemistry · Structure of Atom · MCQ
- Q15.Among the statements (I – IV), the correct ones are: (I) Be has smaller atomic radius compared to Mg. (II) Be has higher ionization enthalpy than Al. (III) Charge/radius ratio of Be is greater than that of Al. (IV) Both Be and Al form…Chemistry · Periodic Table and Periodicity · MCQ
- Q16.The strengths of 5.6 volume hydrogen peroxide (of density 1 g/mL) in terms of mass percentage and molarity (M), respectively, are: (Take molar mass of hydrogen peroxide as 34 g/mol)Chemistry · Some Basic Concepts of Chemistry · MCQ
- Q17.The number of groups present in a tripeptide Asp–Glu–Lys is . Includes diagramChemistry · Biomolecules · Numerical
- Q18.6.023 1022 molecules are present in 10 g of a substance 'x'. The molarity of a solution containing 5 g of substance 'x' in 2 L solution is × 10-3Chemistry · Some Basic Concepts of Chemistry · Numerical
- Q19.If 250 cm3 of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of another aqueous solution containing 1.65 g of a protein B, at 298 K, the ratio of the molecular masses of A and B is…Chemistry · Solutions · Numerical
- Q20.The volume (in mL) of 0.1 N NaOH required to neutralise 10 mL of 0.1 N phosphinic acid is .Chemistry · Some Basic Concepts of Chemistry · Numerical
- Q21.An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation + + 6e– + The amount of obtained was 0.104 g. The efficiency of the…Chemistry · Electrochemistry · Numerical
- Q22.Suppose f(x) is a polynomial of degree four, having critical points at –1, 0, 1. If T = {x R | f(x) = f(0)}, then the sum of squares of all the elements of T is :Mathematics · Definite Integration · MCQ
- Q23.Let a, b c R be such that a2 + b2 + c2 = 1. If , where , then the angle between the…Mathematics · Vector Algebra · MCQ
- Q24.Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 2 . Then, the distance between the centres of the circles C1 and C2 is :Mathematics · Parabola · MCQ
- Q25.Let R1 and R2 be two relation defined as follows : R1 = {(a, b) R2 : a2 + b2 Q} and R2 = {(a, b) R2 : a2 + b2 Q}, where Q is the set of all rational numbers. Then :Mathematics · Sets and Relations · MCQ
- Q26.If the value of the integral is , then k is equal to :Mathematics · Definite Integration · MCQ
- Q27.Let e1 and e2 be the eccentricities of the ellipse, (b < 5) and the hyperbola, respectively satisfying e1e2 = 1. If and …Mathematics · Hyperbola · MCQ
- Q28.Let S be the set of all integer solutions, (x, y, z), of the system of equations x – 2y + 5z = 0 –2x + 4y + z = 0 –7x + 14y + 9z = 0 such that 15 x2 + y2 + z2 150. Then, the number of elements in the set S is equal to …Mathematics · Matrices and Determinants · Numerical
- Q29.If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4th A.M. is equal to 2nd G.M., then m is equal to .Mathematics · Sequences and Series · Numerical
- Q30.The total number of 3-digit numbers, whose sum of digits is 10, is .Mathematics · Permutations and Combinations · Numerical
- Q31.The probability that a randomly chosen 5-digit number is made from exactly two digits is :Mathematics · Probability · MCQ
- Q32.If x3dy + xy dx = x2dy + 2y dx; y(2) = e and x > 1, then y(4) is equal to :Mathematics · Differential Equations · MCQ
- Q33. ( 0) is equal to :Mathematics · Limits Continuity and Differentiability · MCQ
- Q34.If the surface area of a cube is increasing at a rate of 3.6 cm2/sec, retaining its shape; then the rate of change of its volume (in cm3/sec), when the length of a side of the cube is 10 cm, is :Mathematics · Application of Derivatives · MCQ
- Q35.If a ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :Mathematics · Straight Lines and Pair of Straight Lines · MCQ
- Q36.Let xi (1 i 10) be ten observations of a random variable X. If and where 0 p R, then…Mathematics · Statistics · MCQ
- Q37.If z1 , z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and arg(z1 - z2) = , then Im(z1 + z2 ) is equal to :Mathematics · Complex Numbers · MCQ
- Q38.If = A(x) + B(x) + C, where C is a constant of integration, then the ordered pair (A(x), B(x)) can be :Mathematics · Indefinite Integrals · MCQ
- Q39.If the term independent of x in the expansion of is k, then 18 k is equal to :Mathematics · Binomial Theorem · MCQ
- Q40.The set of all real values of for which the quadratic equations, ( 2 + 1)x2 – 4 x + 2 = 0 always have exactly one root in the interval (0, 1) is :Mathematics · Quadratic Equation and Inequalities · MCQ
- Q41.An massless equilateral triangle EFG of side ‘a’ (As shown in figure) has three particles of mass m situated at its vertices. The moment of inertia of the system about the line EX perpendicular to EG in the plane of EFG is … Includes diagramPhysics · Rotational Motion · Numerical
- Q42.A galvanometer coil has 500 turns and each turn has an average area of 3 10–4 m2 . If a torque of 1.5 Nm is required to keep this coil parallel to a magnetic field when a current of 0.5 A is flowing through it, the strength of the…Physics · Magnetics · Numerical
- Q43.A block starts moving up an inclined plane of inclination 30o with an initial velocity of v0 . It comes back to its initial position with velocity . The value of the coefficient of kinetic friction between the block and…Physics · Work Power and Energy · Numerical
- Q44.When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the mirror. If the object is moved with a speed of 9 cms–1, the speed (in cms–1) with which image moves at that instant is…Physics · Geometrical Optics · Numerical
- Q45.A calorimeter of water equivalent 20 g contains 180 g of water at 25oC. ‘m’ grams of steam at 100oC is mixed in it till the temperature of the mixure is 31oC. The value of ‘m’ is close to : (Latent heat of water = 540 cal g–1, specific…Physics · Heat and Thermodynamics · MCQ
- Q46.Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and helium ions is close to :Physics · Atoms and Nuclei · MCQ
- Q47.Two light waves having the same wavelength in vacuum are in phase initially. Then the first wave travels a path L1 through a medium of refractive index n1 while the second wave travels a path of length L2 through a medium of…Physics · Wave Optics · MCQ
- Q48.The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is . The magnetic field , at the moment t = 0 is :Physics · Electromagnetic Waves · MCQ
- Q49.A perfectly diamagnetic sphere has a small spherical cavity at its centre, which is filled with a paramagnetic substance. The whole system is placed in a uniform magnetic field . Then the field inside the paramagnetic… Includes diagramPhysics · Magnetic Properties of Matter · MCQ
- Q50.Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference V(R) – V(4R) is :Physics · Electrostatics · MCQ
- Q51.To raise the temperature of a certain mass of gas by 50oC at a constant pressure, 160 calories of heat is required. When the same mass of gas is cooled by 100oC at constant volume, 240 calories of heat is released. How many degrees of…Physics · Heat and Thermodynamics · MCQ
- Q52.A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field changes with time at a steady rate …Physics · Electromagnetic Induction · MCQ
- Q53.Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant. Dimension of solar constant is :Physics · Units and Measurements · MCQ
- Q54.The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 10–15)A1/3 m. It follows that the mass density of a nucleus is of the order of : (Mprot. Mneut 1.67 10–27 kg)Physics · Atoms and Nuclei · MCQ
- Q55.A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg collides with the block and sticks to it. If the velocity of the bullet is 20 m/s in the horizontal direction just before the collision then…Physics · Center of Mass · MCQ
- Q56.Two resistors 400 and 800 are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10 k across 400 resistor is close to :Physics · Current Electricity · MCQ
- Q57.A uniform rod of length ‘’ is pivoted at one of its ends on a vertical shaft of negligible radius. When the shaft rotates at angular speed the rod makes an angle with it (see figure). To find equate the rate… Includes diagramPhysics · Rotational Motion · MCQ
- Q58.Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected across a component, are just reversed?Physics · Electronic Devices · MCQ
- Q59.If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy is : Planck’s constant h = 6.63 10–34 J.s. Speed of light c = 3 108 m/sPhysics · Electronic Devices · MCQ
- Q60.A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) - time (t) graph that describes the motion of the particle is (graphs are drawn schematically…Physics · Work Power and Energy · MCQ
- Q61.Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sources emit light of the same power 200 W. The ratio of the number density of photons of X-rays to the number density of…Physics · Dual Nature of Radiation · MCQ
- Q62.The mass density of a planet of radius R varies with the distance r from its centre as (r) = . Then the gravitational field is maximum at :Physics · Gravitation · MCQ
- Q63.A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through its equilibrium point, the…Physics · Simple Harmonic Motion · MCQ