2021 · Shift 1
57 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.
2021 · Shift 1
57 questions · JEE Advanced
HydrocarbonsChemistry · 3 questionsBasics of Organic ChemistryChemistry · 2 questionsSolid StateChemistry · 1 questionsCoordination CompoundsChemistry · 2 questionsThermodynamicsChemistry · 3 questionsSolutionsChemistry · 2 questionsBiomoleculesChemistry · 1 questionsCompounds Containing NitrogenChemistry · 1 questionsSurface ChemistryChemistry · 1 questionsIsolation of ElementsChemistry · 2 questionsAldehydes Ketones and Carboxylic AcidsChemistry · 1 questionsCircleMathematics · 1 questionsApplication of IntegrationMathematics · 1 questionsProbabilityMathematics · 4 questionsComplex NumbersMathematics · 2 questionsMatrices and DeterminantsMathematics · 4 questionsStraight Lines and Pair of Straight LinesMathematics · 2 questionsLimits Continuity and DifferentiabilityMathematics · 1 questionsSequences and SeriesMathematics · 1 questionsQuadratic Equation and InequalitiesMathematics · 1 questionsProperties of TriangleMathematics · 1 questionsVector AlgebraMathematics · 1 questionsUnits and MeasurementsPhysics · 1 questionsHeat and ThermodynamicsPhysics · 2 questionsGeometrical OpticsPhysics · 2 questionsAtoms and NucleiPhysics · 2 questionsLaws of MotionPhysics · 2 questionsCapacitorPhysics · 2 questionsElectrostaticsPhysics · 2 questionsRotational MotionPhysics · 2 questionsImpulse and MomentumPhysics · 1 questionsMagnetismPhysics · 2 questionsProperties of MatterPhysics · 1 questions
- Q1.The major product formed in the following reaction of Includes diagramChemistry · Hydrocarbons · MCQ
- Q2.Among the following, the conformation that corresponds to the most stable conformation of meso-butane-2,3-diol isChemistry · Basics of Organic Chemistry · MCQ
- Q3.For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the packing fraction is approximately (packing fraction = ) Includes diagramChemistry · Solid State · MCQ
- Q4.The calculated spin only magnetic moments of and in BM, respectively, are (Atomic numbers of Cr and Cu are 24 and 29, respectively)Chemistry · Coordination Compounds · MCQ
- Q5.For the following reaction scheme, percentage yields are given along the arrow: x g and y g are mass of R and U, respectively. (Use : Molar mass (in g mol 1) of H, C and O as 1, 12 and 16, respectively) The value of x is … Includes diagramChemistry · Hydrocarbons · Numerical
- Q6.For the following reaction scheme, percentage yields are given along the arrow: x g and y g are mass of R and U, respectively. (Use : Molar mass (in g mol 1) of H, C and O as 1, 12 and 16, respectively)The value of y is … Includes diagramChemistry · Hydrocarbons · Numerical
- Q7.For the reaction, X(s) Y(s) + Z(g), the plot of versus is given below (in solid line), where pz is the pressure (in bar) of the gas Z at temperature T and … Includes diagramChemistry · Thermodynamics · Numerical
- Q8.For the reaction, X(s) Y(s) + Z(g), the plot of versus is given below (in solid line), where pz is the pressure (in bar) of the gas Z at temperature T and … Includes diagramChemistry · Thermodynamics · Numerical
- Q9.The boiling point of water in a 0.1 molal silver nitrate solution (solution A) is x C. To this solution A, an equal volume of 0.1 molal aqueous barium chloride solution is added to make a new solution B. The difference in the…Chemistry · Solutions · Numerical
- Q10.The boiling point of water in a 0.1 molal silver nitrate solution (solution A) is x C. To this solution A, an equal volume of 0.1 molal aqueous barium chloride solution is added to make a new solution B. The difference in the…Chemistry · Solutions · Numerical
- Q11.Given : The compound(s), which on reaction with will give the product having degree of rotation, []D = 52.7 is (are) Includes diagramChemistry · Biomolecules · Multiple correct
- Q12.The reaction of Q with PhSNa yields an organic compound (major product) that gives positive Carius test on treatment with followed by addition of . The correct option(s) for Q is (are)Chemistry · Compounds Containing Nitrogen · Multiple correct
- Q13.The correct statement(s) related to colloids is (are)Chemistry · Surface Chemistry · Multiple correct
- Q14.An ideal gas undergoes a reversible isothermal expansion from state I to state II followed by a reversible adiabatic expansion from state II to state III. The correct plot(s) representing the changes from state I to state III is (are) (p :…Chemistry · Thermodynamics · Multiple correct
- Q15.The correct statement(s) related to the metal extraction processes is (are) :Chemistry · Isolation of Elements · Multiple correct
- Q16.A mixture of two salts is used to prepare a solution S, which gives the following results : The correct option(s) for the salt mixture is (are) Includes diagramChemistry · Isolation of Elements · Multiple correct
- Q17.The maximum number of possible isomers (including stereoisomers) which may be formed on mono-bromination of 1-methylcyclohex-1-ene using and UV light is .Chemistry · Basics of Organic Chemistry · Numerical
- Q18.In the reaction given below, the total number of atoms having sp2 hybridization in the major product P is . Includes diagramChemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
- Q19.The total number of possible isomers for Br2 is .Chemistry · Coordination Compounds · Numerical
- Q20.Consider a triangle whose two sides lie on the x-axis and the line x + y + 1 = 0. If the orthocenter of is (1, 1), then the equation of the circle passing through the vertices of the triangle isMathematics · Circle · MCQ
- Q21.The area of the region isMathematics · Application of Integration · MCQ
- Q22.Consider three sets E1 = {1, 2, 3}, F1 = {1, 3, 4} and G1 = {2, 3, 4, 5}. Two elements are chosen at random, without replacement, from the set E1, and let S1 denote the set of these chosen elements. Let E2 = E1 S1 and F2 = F1 …Mathematics · Probability · MCQ
- Q23.Let be positive valued angles (in radian) such that . Define the complex numbers for $k=2,3, \ldots,…Mathematics · Complex Numbers · MCQ
- Q24.Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p1 be the probability that the maximum of chosen numbers is at least 81 and p2 be the probability that the minimum of…Mathematics · Probability · Numerical
- Q25.Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p1 be the probability that the maximum of chosen numbers is at least 81 and p2 be the probability that the minimum of…Mathematics · Probability · Numerical
- Q26.Let , and be real numbers such that the system of linear equations x + 2y + 3z = 4x + 5y + 6z = 7x + 8y + 9z = 1 is consistent. Let | M | represent the determinant of the matrix …Mathematics · Matrices and Determinants · Numerical
- Q27.Let , and be real numbers such that the system of linear equations x + 2y + 3z = 4x + 5y + 6z = 7x + 8y + 9z = 1 is consistent. Let | M | represent the determinant of the matrix …Mathematics · Matrices and Determinants · Numerical
- Q28.Consider the lines L1 and L2 defined by and For a fixed constant , let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P…Mathematics · Straight Lines and Pair of Straight Lines · Numerical
- Q29.Consider the lines L1 and L2 defined by and For a fixed constant , let C be the locus of a point P such that the product of the distance of P from L1 and the distance of P…Mathematics · Straight Lines and Pair of Straight Lines · Numerical
- Q30.For any 3 3 matrix M, let | M | denote the determinant of M. Let , …Mathematics · Matrices and Determinants · Multiple correct
- Q31.Let f : R R be defined by Then which of the following statements is (are) TRUE?Mathematics · Limits Continuity and Differentiability · Multiple correct
- Q32.Let E, F and G be three events having probabilities , and , and let P (E F G) =. For any event H, if Hc denotes the complement, then which of the…Mathematics · Probability · Multiple correct
- Q33.For any 3 3 matrix M, let |M| denote the determinant of M. Let I be the 3 3 identity matrix. Let E and F be two 3 3 matrices such that (I EF) is invertible. If G = (I EF) 1, then which of the…Mathematics · Matrices and Determinants · Multiple correct
- Q34.For any positive integer n, let Sn : (0, ) R be defined by , where for any x R, and …Mathematics · Sequences and Series · Multiple correct
- Q35.For any complex number w = c + id, let , where . Let and be real numbers such that for all complex numbers z = x + iy satisfying …Mathematics · Complex Numbers · Multiple correct
- Q36.For x R, the number of real roots of the equation is .Mathematics · Quadratic Equation and Inequalities · Numerical
- Q37.In a triangle ABC, let AB = , BC = 3 and CA = 4. Then the value of is .Mathematics · Properties of Triangle · Numerical
- Q38.Let , and be vectors in three-dimensional space, where and are unit vectors which are not perpendicular to each other and $\overrightarrow…Mathematics · Vector Algebra · Numerical
- Q39.The smallest division on the main scale of a Vernier calipers is 0.1 cm. Ten divisions of the Vernier scale correspond to nine divisions of the main scale. The figure below on the left shows the reading of this calipers with no gap between… Includes diagramPhysics · Units and Measurements · MCQ
- Q40.An ideal gas undergoes a four step cycle as shown in the P-V diagram below. During this cycle, heat is absorbed by the gas in Includes diagramPhysics · Heat and Thermodynamics · MCQ
- Q41.An extended object is placed at point O, 10 cm in front of a convex lens L1 and a concave lens L2 is placed 10 cm behind it, as shown in the figure. The radii of curvature of all the curved surfaces in both the lenses ae 20 cm. The… Includes diagramPhysics · Geometrical Optics · MCQ
- Q42.A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability of 40%. Initially, the number of Q nuclei is 1000. The number of alpha-decays of Q in the first one hour isPhysics · Atoms and Nuclei · MCQ
- Q43.A projectile is thrown from a point O on the ground at an angle 45 from the vertical and with a speed 5 m/s. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically…Physics · Laws of Motion · Numerical
- Q44.A projectile is thrown from a point O on the ground at an angle 45 from the vertical and with a speed 5 m/s. The projectile at the highest point of its trajectory splits into two equal parts. One part falls vertically…Physics · Laws of Motion · Numerical
- Q45.In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 C. The… Includes diagramPhysics · Capacitor · Numerical
- Q46.In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor becomes q1 C. Then S is switched to position Q. After a long time, the charge on the capacitor is q2 C. The… Includes diagramPhysics · Capacitor · Numerical
- Q47.Two point charges Q and +Q/ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane with… Includes diagramPhysics · Electrostatics · Numerical
- Q48.Two point charges Q and +Q/ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane with… Includes diagramPhysics · Electrostatics · Numerical
- Q49.A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is . The center of… Includes diagramPhysics · Rotational Motion · Multiple correct
- Q50.A wide slab consisting of two media of refractive indices n1 and n2 is placed in air as shown in the figure. A ray of light is incident from medium n1 to n2 at an angle , where sin is slightly larger than 1/n1. Take… Includes diagramPhysics · Geometrical Optics · Multiple correct
- Q51.A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = l, y = h), where l = 10 m and h = 1 m. The particle is accelerated at time t = 0 with a constant acceleration a = 10 m/s2 along the positive…Physics · Impulse and Momentum · Multiple correct
- Q52.Which of the following statement(s) is(are) correct about the spectrum of the hydrogen atom?Physics · Atoms and Nuclei · Multiple correct
- Q53.A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails… Includes diagramPhysics · Magnetism · Multiple correct
- Q54.A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant acceleration a along a fixed inclined plane with angle = 45 . P1 and P2 are pressures at points 1 and 2,… Includes diagramPhysics · Properties of Matter · Multiple correct
- Q55.An -particle (mass 4 amu) and a singly charged sulphur ion (mass 32 amu) are initially at rest. They are accelerated through a potential V and then allowed to pass into a region of uniform magnetic field which is normal to the…Physics · Magnetism · Numerical
- Q56.A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through point O. A thin circular disc of mass M and of radius a/4 is pivoted on this rod with its center at a distance a/4 from the… Includes diagramPhysics · Rotational Motion · Numerical
- Q57.A small object is placed at the center of a large evacuated hollow spherical container. Assume that the container is maintained at 0 K. At time t = 0, the temperature of the object is 200 K. The temperature of the object becomes 100 K at t…Physics · Heat and Thermodynamics · Numerical