2014 · Shift 1
60 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.
2014 · Shift 1
60 questions · JEE Advanced
D and F Block ElementsChemistry · 3 questionsElectrochemistryChemistry · 1 questionsSome Basic Concepts of ChemistryChemistry · 2 questionsSolutionsChemistry · 1 questionsChemical Bonding and Molecular StructureChemistry · 2 questionsStructure of AtomChemistry · 1 questionsRedox ReactionsChemistry · 2 questionsCompounds Containing NitrogenChemistry · 1 questionsAlcohols Phenols and EthersChemistry · 1 questionsBasics of Organic ChemistryChemistry · 2 questionsGaseous StateChemistry · 1 questionsP Block ElementsChemistry · 1 questionsBiomoleculesChemistry · 1 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsPermutations and CombinationsMathematics · 2 questionsCircleMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsStraight Lines and Pair of Straight LinesMathematics · 1 questionsDefinite IntegrationMathematics · 3 questionsApplication of DerivativesMathematics · 1 questions3D GeometryMathematics · 1 questionsVector AlgebraMathematics · 2 questionsLimits Continuity and DifferentiabilityMathematics · 3 questionsFunctionsMathematics · 2 questionsMatrices and DeterminantsMathematics · 2 questionsInverse Trigonometric FunctionsMathematics · 1 questionsMotionPhysics · 2 questionsCapacitorPhysics · 1 questionsElectrostaticsPhysics · 1 questionsWork Power and EnergyPhysics · 1 questionsUnits and MeasurementsPhysics · 2 questionsAlternating CurrentPhysics · 1 questionsWave OpticsPhysics · 1 questionsWavesPhysics · 2 questionsProperties of MatterPhysics · 1 questionsLaws of MotionPhysics · 1 questionsGeometrical OpticsPhysics · 1 questionsCurrent ElectricityPhysics · 2 questionsRotational MotionPhysics · 2 questionsMagnetismPhysics · 1 questionsHeat and ThermodynamicsPhysics · 1 questions
- Q1.Upon heating with , the reagent(s) that give copper metal is/areChemistry · D and F Block Elements · Multiple correct
- Q2.In a galvanic cell, the salt bridgeChemistry · Electrochemistry · Multiple correct
- Q3.A compound with molar weight of 80g is dissolved in a solvent having density of 0.4 gml–1 . Assuming no change in volume upon dissolution, the molality of a 3.2 molar solution isChemistry · Some Basic Concepts of Chemistry · Numerical
- Q4. dissociates in and ions in an aqueous solution, with a degree of dissociation () of 0.5. The ratio of the observed depression of freezing point of the aqueous solution to the value of the depression of…Chemistry · Solutions · Numerical
- Q5.A list of species having the formula is given below. , ,, , , , , and Defining shape on the basis of the location of X and Z…Chemistry · Chemical Bonding and Molecular Structure · Numerical
- Q6.In an atom, the total number of electrons having quantum numbers n = 4, |ml| = 1 and ms = –1/2 isChemistry · Structure of Atom · Numerical
- Q7.If the value of Avogadro number is 6.023 1023 mol-1 and the value of Boltzmann constant is 1.380 10-23 J K-1, then the number of significant digits in the calculated value of the universal gas constant isChemistry · Some Basic Concepts of Chemistry · Numerical
- Q8.For the reaction, the correct statement(s) in the balanced equation is/areChemistry · Redox Reactions · Multiple correct
- Q9.The pair(s) of reagents that yield paramagnetic species is/areChemistry · D and F Block Elements · Multiple correct
- Q10.In the reaction shown below, the major product(s) formed is/are Includes diagramChemistry · Compounds Containing Nitrogen · Multiple correct
- Q11.Hydrogen bonding plays a central role in the following phenomenaChemistry · Chemical Bonding and Molecular Structure · Multiple correct
- Q12.The reactivity of compound Z with different halogens under appropriate conditions is given below The observed pattern of electrophilic substitution can be explained by Includes diagramChemistry · Alcohols Phenols and Ethers · Multiple correct
- Q13.The correct combination of names for isomeric alcohols with molecular formula {}_{10}$O is/areChemistry · Basics of Organic Chemistry · Multiple correct
- Q14.An ideal gas in thermally insulated vessel at internal pressure = p1, volume = V1 and absolute temperature = T1 expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute… Includes diagramChemistry · Gaseous State · Multiple correct
- Q15.The correct statement(s) for orthoboric acid is/areChemistry · P Block Elements · Multiple correct
- Q16.The total number of distinct naturally occurring amino acids obtained by complete acidic hydrolysis of the peptide shown below is Includes diagramChemistry · Biomolecules · Numerical
- Q17.Consider the following list of reagents, acidified , alkaline , , , , , , and . The total number of reagents that can oxidise aqueous iodide to iodine isChemistry · Redox Reactions · Numerical
- Q18.The total number(s) of stable conformers with non-zero dipole moment for the following compound is(are) Includes diagramChemistry · Basics of Organic Chemistry · Numerical
- Q19.Among , , , , , , , and the total number of black coloured sulphides isChemistry · D and F Block Elements · Numerical
- Q20.Consider all possible isomeric ketones including stereoisomers of MW = 100. All these isomers are independently reacted with (Note : stereoisomers are also reacted separately). The total number of ketones that give a racemic…Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
- Q21.Let be positive integers such that = 20. Then the number of such destinct arrangements …Mathematics · Permutations and Combinations · Numerical
- Q22.A circle S passes through the point (0, 1) and is orthogonal to the circles . ThenMathematics · Circle · Multiple correct
- Q23.Let be an integer. Take n distinct points on a circle and join each pair of points by a line segment. Colour the line segment joining every pair of adjacent points by blue and the rest by red. If the number of red and blue line…Mathematics · Permutations and Combinations · Numerical
- Q24.Let a, b, c be positive integers such that is an integer. If a, b, c are in geometric progression and the arithmetic mean of a, b, c is b + 2, then the value of isMathematics · Sequences and Series · Numerical
- Q25.For a point in the plane, Let and be the distance of the point from the lines and respectively. The area of the region consisting of all points …Mathematics · Straight Lines and Pair of Straight Lines · Numerical
- Q26.Let be given by = . ThenMathematics · Definite Integration · Multiple correct
- Q27.The slope of the tangent to the curve at the point isMathematics · Application of Derivatives · Numerical
- Q28.The value of isMathematics · Definite Integration · Numerical
- Q29.From a point perpendicular and are drawn respectively on the lines and If is such that is a right angle, then the possible value(s) of …Mathematics · 3D Geometry · Multiple correct
- Q30.Let and be three vectors each of magnitude and the angle between each pair of them is . If is a non-zero vector perpendicular to …Mathematics · Vector Algebra · Multiple correct
- Q31.Let and be three non-coplanar unit vectors such that the angle between every pair of them is If …Mathematics · Vector Algebra · Numerical
- Q32.Let be a continuous function and g : R R be defined as Then,Mathematics · Limits Continuity and Differentiability · Multiple correct
- Q33.For every pair of continuous function f, g : [0, 1] R such that max {f(x) : x [0, 1]} = max {g(x) : x [0, 1]}. The correct statement(s) is (are)Mathematics · Functions · Multiple correct
- Q34.Let M be a 2 2 symmetric matrix with integer entries. Then, M is invertible, ifMathematics · Matrices and Determinants · Multiple correct
- Q35.Let M and N be two 3 3 matrices such that MN = NM. Further, if M N2 and M2 = N4, thenMathematics · Matrices and Determinants · Multiple correct
- Q36.Let be given by . Then,Mathematics · Functions · Multiple correct
- Q37.Let a R and f : R R be given by f(x) = x5 5x + a. Then,Mathematics · Definite Integration · Multiple correct
- Q38.Let f : [0, 4 ] [0, ] be defined by f(x) = cos 1 (cos x). The number of points x [0, 4 ] satisfying the equation isMathematics · Inverse Trigonometric Functions · Numerical
- Q39.The largest value of the non-negative integer a for which isMathematics · Limits Continuity and Differentiability · Numerical
- Q40.Let f : R R and g : R R be respectively given by f(x) = | x | + 1 and g(x) = x2 + 1. Define h : R R by …Mathematics · Limits Continuity and Differentiability · Numerical
- Q41.Airplanes A and B are flying with constant velocity in the same vertical plane at angles and with respect to the horizontal respectively as shown in the figure. The speed of A is m/s. At time t = 0 s, an… Includes diagramPhysics · Motion · Numerical
- Q42.A parallel plate capacitor has a dielectric slab of dielectric constant between its plates that covers of the area of its plates, as shown in the figure. The total capacitance of the capacitor is while that of the portion… Includes diagramPhysics · Capacitor · Multiple correct
- Q43.Let and be the respective electric field at a distance from a point charge an infinitely long wire with constant linear charge density and an…Physics · Electrostatics · Multiple correct
- Q44.Consider an elliptically shaped rail PQ in the vertical plane with OP = 3 m and OQ = 4 m. A block of mass 1 kg is pulled along the rail from P to Q with a force of 18 N, which is always parallel to line PQ (see the figure given). Assuming… Includes diagramPhysics · Work Power and Energy · Numerical
- Q45.A rocket is moving in a gravity free space with a constant acceleration of 2 ms–2 along + x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in + x direction with a… Includes diagramPhysics · Motion · Numerical
- Q46.During Searle's experiment, zero of the Vernier scale lies between 3.20 10-2 m and 3.25 10-2 m of the main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions. When an…Physics · Units and Measurements · Numerical
- Q47.To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional analysis and assumes that the distance depends on the mass density of the fog, intensity (power/area) S of the…Physics · Units and Measurements · Numerical
- Q48.At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t) = I0 cos ( t), with I0 = 1 A and = 500 rad s-1 starts flowing in it with the initial direction shown in… Includes diagramPhysics · Alternating Current · Multiple correct
- Q49.A light source, width emits two wavelengths 1 = 400 nm and 2 = 600 nm, is used in a Young's double-slit experiment. If recorded fringe widths for 1 and 2 are 1 and 2 and the number of…Physics · Wave Optics · Multiple correct
- Q50.One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 ms 1. The other end of the string is vibrating in the y-direction so that stationary waves are set up in the string.…Physics · Waves · Multiple correct
- Q51.A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s 1. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the…Physics · Waves · Multiple correct
- Q52.Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5 kg water by 40 K. This heater is replaced by a new heater having two wires of the same material, each of length L…Physics · Properties of Matter · Multiple correct
- Q53.In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle with the horizontal floor. The coefficient of friction between the wall and the ladder is 1 and that between the… Includes diagramPhysics · Laws of Motion · Multiple correct
- Q54.A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n2 = 1.5, as shown in the figure. Rays of light… Includes diagramPhysics · Geometrical Optics · Multiple correct
- Q55.Two ideal batteries of emf V1 and V2 and three resistances R1, R2 and R3 are connected as shown in the figure. The current in resistance R2 would be zero if Includes diagramPhysics · Current Electricity · Multiple correct
- Q56.A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal magnitude F = 0.5 N are applied simultaneously along the three sides of an equilateral triangle XYZ… Includes diagramPhysics · Rotational Motion · Numerical
- Q57.Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wires in the same plane at a distance X1 from one of the wires. When the wires carry current of magnitude I in the same…Physics · Magnetism · Numerical
- Q58.A galvanometer gives full scale deflection with 0.006 A current. By connecting it to a 4990 resistance, it can be converted into a voltmeter of range 0-30V. If connected to a resistance, it becomes an…Physics · Current Electricity · Numerical
- Q59.A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring toy-guns, each carrying a steel ball of mass 0.05 kg are attached to the platform at a distance 0.25 m from the centre on… Includes diagramPhysics · Rotational Motion · Numerical
- Q60.A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to the final state f along two different paths iaf and ibf, as schematically shown in the figure. The work done by the system along the paths af, ib… Includes diagramPhysics · Heat and Thermodynamics · Numerical