2020 · Shift 1
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 1
54 questions · JEE Advanced
Gaseous StateChemistry · 2 questionsHydrogenChemistry · 1 questionsP Block ElementsChemistry · 2 questionsBasics of Organic ChemistryChemistry · 4 questionsThermodynamicsChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 2 questionsCoordination CompoundsChemistry · 1 questionsSolid StateChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 1 questionsChemical EquilibriumChemistry · 1 questionsElectrochemistryChemistry · 1 questionsChemical Kinetics and Nuclear ChemistryChemistry · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsFunctionsMathematics · 3 questionsApplication of IntegrationMathematics · 1 questionsParabolaMathematics · 1 questionsProbabilityMathematics · 1 questionsApplication of DerivativesMathematics · 1 questionsLimits Continuity and DifferentiabilityMathematics · 2 questionsMatrices and DeterminantsMathematics · 1 questionsComplex NumbersMathematics · 1 questionsProperties of TriangleMathematics · 2 questions3D GeometryMathematics · 1 questionsDefinite IntegrationMathematics · 1 questionsSequences and SeriesMathematics · 2 questionsRotational MotionPhysics · 1 questionsLaws of MotionPhysics · 2 questionsWavesPhysics · 1 questionsElectrostaticsPhysics · 3 questionsProperties of MatterPhysics · 3 questionsHeat and ThermodynamicsPhysics · 2 questionsCurrent ElectricityPhysics · 1 questionsAtoms and NucleiPhysics · 1 questionsUnits and MeasurementsPhysics · 1 questionsMagnetismPhysics · 2 questionsWave OpticsPhysics · 1 questions
- Q1.If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average, and the root mean square speeds, respectively, is Includes diagramChemistry · Gaseous State · MCQ
- Q2.Which of the following liberates upon hydrolysis?Chemistry · Hydrogen · MCQ
- Q3.A colourless aqueous solution contains nitrates of two metals, X and Y. When it was added to an aqueous solution of , a white precipitate was formed. This precipitate was found to be partly soluble in hot water to give a residue P…Chemistry · P Block Elements · MCQ
- Q4.Newman projections P, Q, R and S are shown below : Which one of the following options represents identical molecules? Includes diagramChemistry · Basics of Organic Chemistry · MCQ
- Q5.Which of the following structures has the IUPAC name 3-ethynyl-2-hydroxy-4-methylhex-3-en-5-ynoic acid?Chemistry · Basics of Organic Chemistry · MCQ
- Q6.The Fischer projection of D-erythrose is shown below : D-erythrose and its isomers are listed as P, Q, R, and S in Column - I. Choose the correct relationship of P, Q, R, and S with D-erythrose from Column - II. Includes diagramChemistry · Basics of Organic Chemistry · MCQ
- Q7.In thermodynamics, the p-V work done is given by For a system undergoing a particular process, the work done is This equation is…Chemistry · Thermodynamics · Multiple correct
- Q8.With respect to the compounds I-V, choose the correct statement(s). Includes diagramChemistry · Basics of Organic Chemistry · Multiple correct
- Q9.In the reaction scheme shown below Q, R and S are the major products. The correct structure of Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
- Q10.Choose the correct statement(s) among the following :Chemistry · Coordination Compounds · Multiple correct
- Q11.With respect to hypochlorite, chlorate and perchlorate ions, choose the correct statement(s).Chemistry · P Block Elements · Multiple correct
- Q12.The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the correct statement(s). Includes diagramChemistry · Solid State · Multiple correct
- Q13.5.00 mL of 0.10 M oxalic acid solution taken in a conical flask is titrated against NaOH from a burette using phenolphthalein indicator. The volume of NaOH required for the appearance of permanent faint pink color is tabulated below for… Includes tableChemistry · Some Basic Concepts of Chemistry · Numerical
- Q14.Consider the reaction, A B at 1000 K. At time t', the temperature of the system was increased to 2000 K and the system was allowed to reach equilibrium. Throughout this experiment the partial pressure of A was… Includes diagramChemistry · Chemical Equilibrium · Numerical
- Q15.Consider a 70% efficient hydrogen-oxygen fuel cell working under standard conditions at 1 bar and 298 K. Its cell reaction is The work derived from the cell on the consumption of…Chemistry · Electrochemistry · Numerical
- Q16.Aluminium reacts with sulphuric acid to form aluminium sulphate and hydrogen. What is the volume of hydrogen gas in litre (L) produced at 300 K and 1.0 atm pressure, when 5.4 g of aluminium and 50.0 mL of 5.0 M sulphuric acid are combined…Chemistry · Gaseous State · Numerical
- Q17. is known to undergo radioactive decay to form by emitting alpha and beta particles. A rock initially contained 68 10 6 g of . If the number of alpha particles that it would…Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
- Q18.In the following reaction, compound Q is obtained from compound P via an ionic intermediate What is the degree of unsaturation of Q? Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
- Q19.Suppose a, b denote the distinct real roots of the quadratic polynomial x2 + 20x 2020 and suppose c, d denote the distinct complex roots of the quadratic polynomial x2 20x + 2020. Then the value of ac(a c) + ad(a d) + bc(b …Mathematics · Quadratic Equation and Inequalities · MCQ
- Q20.If the function f : R R is defined by f(x) = |x| (x sin x), then which of the following statements is TRUE?Mathematics · Functions · MCQ
- Q21.Let the functions f : R R and g : R R be defined by f(x) = ex 1 e |x 1| and g(x) =(ex 1 + e1 x). The the area of the region in the first quadrant bounded by the curves y = f(x), y = g(x) and…Mathematics · Application of Integration · MCQ
- Q22.Let a, b and be positive real numbers. Suppose P is an end point of the latus return of the parabola y2 = 4 x, and suppose the ellipse passes through the point…Mathematics · Parabola · MCQ
- Q23.Let C1 and C2 be two biased coins such that the probabilities of getting head in a single toss are and , respectively. Suppose is the number of heads that appear when C1 is tossed twice,…Mathematics · Probability · MCQ
- Q24.Consider the rectangles lying the region and and having one side on the X-axis. The area of the rectangle…Mathematics · Application of Derivatives · MCQ
- Q25.Let the function f : R R be defined by f(x) = x3 x2 + (x 1)sin x and let g : R R be an arbitrary function. Let fg : R R be the product function defined by (fg)(x) = f(x)g(x). Then which of the following statements…Mathematics · Limits Continuity and Differentiability · Multiple correct
- Q26.Let M be a 3 3 invertible matrix with real entries and let I denote the 3 3 identity matrix. If M 1 = adj(adj M), then which of the following statements is/are ALWAYS TRUE?Mathematics · Matrices and Determinants · Multiple correct
- Q27.Let S be the set of all complex numbers z satisfying |z2 + z + 1| = 1. Then which of the following statements is/are TRUE?Mathematics · Complex Numbers · Multiple correct
- Q28.Let x, y and z be positive real numbers. Suppose x, y and z are the lengths of the sides of a triangle opposite to its angles X, Y, and Z, respectively. If , then which of…Mathematics · Properties of Triangle · Multiple correct
- Q29.Let L1 and L2 be the following straight lines. and . Suppose the straight line …Mathematics · 3D Geometry · Multiple correct
- Q30.Which of the following inequalities is/are TRUE?Mathematics · Definite Integration · Multiple correct
- Q31.Let m be the minimum possible value of , where are real numbers for which = 9. Let M be the maximum possible value of …Mathematics · Sequences and Series · Numerical
- Q32.Let a1, a2, a3, .... be a sequence of positive integers in arithmetic progression with common difference 2. Also, let b1, b2, b3, .... be a sequence of positive integers in geometric progression with common ratio 2. If a1 = b1 = c, then…Mathematics · Sequences and Series · Numerical
- Q33.Let f : [0, 2] R be the function defined by If are such that …Mathematics · Functions · Numerical
- Q34.In a triangle PQR, let a = QR, b = RP, and c = PQ. If |a| = 3, |b| = 4 and , then the value of |a b|2 is ......Mathematics · Properties of Triangle · Numerical
- Q35.For a polynomial g(x) with real coefficients, let mg denote the number of distinct real roots of g(x). Suppose S is the set of polynomials with real coefficients defined by …Mathematics · Functions · Numerical
- Q36.let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit is equal to a non-zero real number,…Mathematics · Limits Continuity and Differentiability · Numerical
- Q37.A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is on a horizontal floor and a meter scale is positioned horizontally on its axle with one edge of the scale on top of the axle (see figure… Includes diagramPhysics · Rotational Motion · MCQ
- Q38.A football of radius R is kept on a hole of radius r (r < R) made on a plank kept horizontally. One end of the plank is now lifted so that it gets tilted making an angle from the horizontal as shown in the figure below. The… Includes diagramPhysics · Laws of Motion · MCQ
- Q39.A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of 2 ms−1 in front of the open end of the pipe and parallel to it, the length of the pipe should be changed for the resonance…Physics · Waves · Numerical
- Q40.A circular disc of radius R carries surface charge density , where 0 is a constant and r is the distance from the center of the disc. Electric flux through a…Physics · Electrostatics · Numerical
- Q41.As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrations n1 and n2 (n1 > n2) molecules per unit volume with n = (n1 − n2)… Includes diagramPhysics · Properties of Matter · Multiple correct
- Q42.When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to the surface tension of water. To calculate h just before water starts flowing, model the shape of the water above the rim as a disc… Includes diagramPhysics · Properties of Matter · Numerical
- Q43.Put a uniform meter scale horizontally on your extended index fingers with the left one at 0.00 cm and the right one at 90.00 cm. When you attempt to move both the fingers slowly towards the center, initially only the left finger slips…Physics · Laws of Motion · Numerical
- Q44.One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0, 0). A point particle of mass m carrying a positive charge q is attached at its other end. The entire system is kept on a smooth… Includes diagramPhysics · Electrostatics · Numerical
- Q45.Consider one mole of helium gas enclosed in a container at initial pressure P1 and volume V1. It expands isothermally to volume 4V1. After this, the gas expands adiabatically and its volume becomes 32V1. The work done by the gas during…Physics · Heat and Thermodynamics · Numerical
- Q46.Shown in the figure is a semicircular metallic strip that has thickness t and resistivity . Its inner radius is R1 and outer radius is R2. If a voltage V0 is applied between its two ends, a current I flows in it. In addition, it is… Includes diagramPhysics · Current Electricity · Multiple correct
- Q47.A particle of mass m moves in circular orbits with potential energy V(r) = Fr, where F is a positive constant and r is its distance from the origin. Its energies are calculated using the Bohr model. If the radius of the particle’s orbit is…Physics · Atoms and Nuclei · Multiple correct
- Q48.Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity X as follows:…Physics · Units and Measurements · Multiple correct
- Q49.The filament of a light bulb has surface area 64 mm2 . The filament can be considered as a black body at temperature 2500 K emitting radiation like a point source when viewed from far. At night the light bulb is observed from a distance of…Physics · Heat and Thermodynamics · Multiple correct
- Q50.An open-ended U-tube of uniform cross-sectional area contains water (density 103 kg m−3 ). Initially the water level stands at 0.29 m from the bottom in each arm. Kerosene oil (a water-immiscible liquid) of density 800 kg m−3 is added to… Includes diagramPhysics · Properties of Matter · MCQ
- Q51.A light disc made of aluminium (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as shown in the figure. A strong magnet is held vertically at a point above the disc away from its axis. On revolving the… Includes diagramPhysics · Magnetism · MCQ
- Q52.A circular coil of radius R and N turns has negligible resistance. As shown in the schematic figure, its two ends are connected to two wires and it is hanging by those wires with its plane being vertical. The wires are connected to a… Includes diagramPhysics · Magnetism · MCQ
- Q53.A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below. Correct shape of the emergent wavefront will be (figures are schematic and not drawn to scale) Includes diagramPhysics · Wave Optics · MCQ
- Q54.A uniform electric field, NC−1 is applied in a region. A charged particle of mass m carrying positive charge q is projected in this region with an initial speed of 2 106… Includes diagramPhysics · Electrostatics · Multiple correct