2020 · Shift 2
54 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.
2020 · Shift 2
54 questions · JEE Advanced
Periodic Table and PeriodicityChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsD and F Block ElementsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 1 questionsCoordination CompoundsChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsIsolation of ElementsChemistry · 1 questionsRedox ReactionsChemistry · 1 questionsBasics of Organic ChemistryChemistry · 1 questionsHydrocarbonsChemistry · 1 questionsIonic EquilibriumChemistry · 2 questionsSolutionsChemistry · 1 questionsStructure of AtomChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsThermodynamicsChemistry · 1 questionsComplex NumbersMathematics · 1 questionsProbabilityMathematics · 2 questionsCircleMathematics · 1 questionsMatrices and DeterminantsMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 3 questionsDefinite IntegrationMathematics · 2 questionsHyperbolaMathematics · 1 questions3D GeometryMathematics · 1 questionsVector AlgebraMathematics · 1 questionsMathematical Induction and Binomial TheoremMathematics · 1 questionsPermutations and CombinationsMathematics · 2 questionsFunctionsMathematics · 2 questionsProperties of MatterPhysics · 3 questionsElectrostaticsPhysics · 3 questionsHeat and ThermodynamicsPhysics · 3 questionsGeometrical OpticsPhysics · 2 questionsWork Power and EnergyPhysics · 1 questionsRotational MotionPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsMotionPhysics · 1 questionsCurrent ElectricityPhysics · 1 questionsCapacitorPhysics · 1 questionsElectromagnetic InductionPhysics · 1 questions
- Q1.The 1st, 2nd and 3rd ionisation enthalpies, I1, I2 and I3, of four atoms with atomic numbers n, n + 1, n + 2, and n + 3, where n < 10, are tabulated below. What is the value of n? Includes diagramChemistry · Periodic Table and Periodicity · Numerical
- Q2.Consider the following compounds in the liquid form : , , , , , , , , When a charged comb is brought near their flowing stream, how many of them show deflection as per the… Includes diagramChemistry · Chemical Bonding and Molecular Structure · Numerical
- Q3.In the chemical reaction between stoichiometric quantities of and in weakly basic solution, what is the number of moles of released for 4 moles of consumed?Chemistry · Some Basic Concepts of Chemistry · Numerical
- Q4.An acidified solution of potassium chromate was layered with an equal volume of amyl alcohol. When it was shaken after the addition of 1 mL of 3% , a blue alcohol layer was obtained. The blue colour is due to the formation of a…Chemistry · D and F Block Elements · Numerical
- Q5.The structure of a peptide is given below. If the absolute values of the net charge of the peptide at , , and are , and , respectively,… Includes diagramChemistry · Biomolecules · Numerical
- Q6.An organic compound ({}_{10}FeCl_3$ solution. What is the total number of all the possible isomers for this compound?Chemistry · Alcohols Phenols and Ethers · Numerical
- Q7.In an experiment, m grams of a compound X (gas/liquid/solid) taken in a container is loaded in a balance as shown in figure I below. In the presence of a magnetic field, the pan with X is either deflected upwards (figure II), or deflected… Includes diagramChemistry · Coordination Compounds · Multiple correct
- Q8.Which of the following plots is(are) correct for the given reaction? ([P]0 is the initial concentration of P) Includes diagramChemistry · Chemical Kinetics and Nuclear Chemistry · Multiple correct
- Q9.Which among the following statement(s) is/are true for the extraction of aluminium from bauxite?Chemistry · Isolation of Elements · Multiple correct
- Q10.Choose the correct statement(s) among the following :Chemistry · Redox Reactions · Multiple correct
- Q11.Consider the following four compounds, I, II, III, and IV. Choose the correct statement(s) Includes diagramChemistry · Basics of Organic Chemistry · Multiple correct
- Q12.Consider the following transformations of a compound P. Choose the correct option(s). Includes diagramChemistry · Hydrocarbons · Multiple correct
- Q13.A solution of 0.1 M weak base (B) is titrated with 0.1 M of a strong acid (HA). The variation of pH of the solution with the volume of HA added is shown in the figure below. What is the pKb of the base? The neutralisation reaction is given… Includes diagramChemistry · Ionic Equilibrium · Numerical
- Q14.Liquids A and B form ideal solution for all compositions of A and B at 25 C. Two such solutions with 0.25 and 0.50 mole fractions of A have the total vapour pressure of 0.3 and 0.4 bar, respectively. What is the vapour pressure…Chemistry · Solutions · Numerical
- Q15.The figure below is the plot of potential energy versus internuclear distance (d) of molecule in the electronic ground state. What is the value of the net potential energy E0 (as indicated in the figure) in kJ mol-1, for d = d0 at… Includes diagramChemistry · Structure of Atom · Numerical
- Q16.Consider the reaction sequence from P to Q shown below. The overall yield of the major product Q from P is 75%. What is the amount in grams of Q obtained from 9.3 mL of P? (Use density of P = 1.00 g mL-1; Molar mass of C = 12.0, H = 1.0, O… Includes diagramChemistry · Compounds Containing Nitrogen · Numerical
- Q17.Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in K) at which the reduction of cassiterite by coke would take place. At …Chemistry · Thermodynamics · Numerical
- Q18.An acidified solution of 0.05 M is saturated with 0.1 M . What is the minimum molar concentration (M) of required to prevent the precipitation of ? Use Ksp() = 1.25 10 22 and overall…Chemistry · Ionic Equilibrium · Numerical
- Q19.For a complex number z, let Re(z) denote that real part of z. Let S be the set of all complex numbers z satisfying , where i = . Then the minimum possible value of |z1 z2|2, where z1, z2 S…Mathematics · Complex Numbers · Numerical
- Q20.The probability that a missile hits a target successfully is 0.75. In order to destroy the target completely, at least three successful hits are required. Then the minimum number of missiles that have to be fired so that the probability of…Mathematics · Probability · Numerical
- Q21.Let O be the centre of the circle x2 + y2 = r2, where . Suppose PQ is a chord of this circle and the equation of the line passing through P and Q is 2x + 4y = 5. If the centre of the circumcircle of the triangle…Mathematics · Circle · Numerical
- Q22.The trace of a square matrix is defined to be the sum of its diagonal entries. If A is a 2 2 matrix such that the trace of A is 3 and the trace of A3 is 18, then the value of the determinant of A is .............Mathematics · Matrices and Determinants · Numerical
- Q23.Let the functions and be defined by and , where [x] denotes the greatest integer less than or equal to x. Let be the…Mathematics · Limits Continuity and Differentiability · Numerical
- Q24.The value of the limit …Mathematics · Limits Continuity and Differentiability · Numerical
- Q25.Let b be a nonzero real number. Suppose f : R R is a differentiable function such that f(0) = 1. If the derivative f' of f satisfies the equation for all x R, then which of the following…Mathematics · Definite Integration · Multiple correct
- Q26.Let a and b be positive real numbers such that a > 1 and b < a. Let P be a point in the first quadrant that lies on the hyperbola . Suppose the tangent to the hyperbola at P…Mathematics · Hyperbola · Multiple correct
- Q27.Let f : R R and g : R R be functions satisfying f(x + y) = f(x) + f(y) + f(x)f(y) and f(x) = xg(x) for all x, y R. If , then which of the following statements is/are TRUE?Mathematics · Limits Continuity and Differentiability · Multiple correct
- Q28.Let 2 + 2 + 2 0 and += 1. Suppose the point (3, 2, 1) is the mirror image of the point (1, 0, 1) with respect to the plane x + y + z = . Then which of…Mathematics · 3D Geometry · Multiple correct
- Q29.Let a and b be positive real numbers. Suppose and are adjacent sides of a parallelogram PQRS. Let u and v be the projection vectors of along PQ…Mathematics · Vector Algebra · Multiple correct
- Q30.For non-negative integers s and r, let For…Mathematics · Mathematical Induction and Binomial Theorem · Multiple correct
- Q31.An engineer is required to visit a factory for exactly four days during the first 15 days of every month and it is mandatory that no two visits take place on consecutive days. Then the number of all possible ways in which such visits to…Mathematics · Permutations and Combinations · Numerical
- Q32.In a hotel, four rooms are available. Six persons are to be accommodated in these four rooms in such a way that each of these rooms contains at least one person and at most two persons. Then the number of all possible ways in which this…Mathematics · Permutations and Combinations · Numerical
- Q33.Two fair dice, each with faces numbered 1, 2, 3, 4, 5 and 6, are rolled together and the sum of the numbers on the faces is observed. This process is repeated till the sum is either a prime number or a perfect square. Suppose the sum turns…Mathematics · Probability · Numerical
- Q34.Let the function f : [0, 1] R be defined by Then the value of …Mathematics · Functions · Numerical
- Q35.Let be a differentiable function such that its derivative f' is continuous and f() = 6. If is defined by , and if = 2 then the value…Mathematics · Definite Integration · Numerical
- Q36.Let the function be defined by Suppose the function f has a local minimum at precisely when …Mathematics · Functions · Numerical
- Q37.A train with cross-sectional area St is moving with speed vt inside a long tunnel of cross-sectional area S0 (S0 = 4St). Assume that almost all the air (density ) in front of the train flows back between its sides and the walls of…Physics · Properties of Matter · Numerical
- Q38.Two large circular discs separated by a distance of 0.01 m are connected to a battery via a switch as shown in the figure. Charged oil drops of density 900 kg m−3 are released through a tiny hole at the center of the top disc. Once some… Includes diagramPhysics · Electrostatics · Numerical
- Q39.A point charge q of mass m is suspended vertically by a string of length l. A point dipole of dipole moment is now brought towards q from infinity so that the charge moves away. The final equilibrium position of the… Includes diagramPhysics · Electrostatics · Numerical
- Q40.A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is 480 kg. Its effective volume giving the balloon its buoyancy is V. The balloon is floating at an equilibrium height of 100 m.…Physics · Properties of Matter · Numerical
- Q41.A thermally isolated cylindrical closed vessel of height 8 m is kept vertically. It is divided into two equal parts by a diathermic (perfect thermal conductor) frictionless partition of mass 8.3 kg. Thus the partition is held initially at… Includes diagramPhysics · Heat and Thermodynamics · Numerical
- Q42.A large square container with thin transparent vertical walls and filled with water (refractive index ) is kept on a horizontal table. A student holds a thin straight wire vertically inside the water 12 cm from one of its… Includes diagramPhysics · Geometrical Optics · Numerical
- Q43.A beaker of radius r is filled with water (refractive index ) up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed . This makes the water surface… Includes diagramPhysics · Geometrical Optics · Multiple correct
- Q44.A student skates up a ramp that makes an angle 30 with the horizontal. He/she starts (as shown in the figure) at the bottom of the ramp with speed v0 and wants to turn around over a semicircular path xyz of radius R during which… Includes diagramPhysics · Work Power and Energy · Multiple correct
- Q45.A rod of mass m and length L, pivoted at one of its ends, is hanging vertically. A bullet of the same mass moving at speed v strikes the rod horizontally at a distance x from its pivoted end and gets embedded in it. The combined system now… Includes diagramPhysics · Rotational Motion · Multiple correct
- Q46.In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance d from the cathode. The target is kept at a potential V higher than the cathode resulting in emission of continuous and…Physics · Atoms and Nuclei · Multiple correct
- Q47.Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is . The spheres are…Physics · Electrostatics · Multiple correct
- Q48.Starting at time t = 0 from the origin with speed 1 ms-1, a particle follows a two-dimensional trajectory in the x-y plane so that its coordinates are related by the equation . The x and y components of its…Physics · Motion · Multiple correct
- Q49.A spherical bubble inside water has radius R. Take the pressure inside the bubble and the water pressure to be p0. The bubble now gets compressed radially in an adiabatic manner so that its radius becomes (R a). For a << R the…Physics · Heat and Thermodynamics · Numerical
- Q50.In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance R3 has temperature coefficient 0.0004 C-1. If the temperature of R3 is increased by 100… Includes diagramPhysics · Current Electricity · Numerical
- Q51.Two capacitors with capacitance values C1 = 2000 10 pF and C2 = 3000 15 pF are connected in series. The voltage applied across this combination is V = 5.00 0.02 V. The percentage error in the calculation of the energy…Physics · Capacitor · Numerical
- Q52.A cubical solid aluminium (bulk modulus = ) block has an edge length of 1 m on the surface of the earth. It is kept on the floor of a 5 km deep ocean. Taking the average density of water and the acceleration…Physics · Properties of Matter · Numerical
- Q53.The inductors of two LR circuits are placed next to each other, as shown in the figure. The values of the self-inductance of the inductors, resistors, mutual-inductance and applied voltages are specified in the given circuit. After both… Includes diagramPhysics · Electromagnetic Induction · Numerical
- Q54.A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. The average energy per unit time per unit area received due to the sunlight is 700 Wm 2 and it is absorbed by the…Physics · Heat and Thermodynamics · Numerical