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2018 · Shift 2

54 questions · JEE Advanced

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2018 · Shift 2

2018 · Shift 2

54 questions · JEE Advanced

Chemistry18 questions Mathematics18 questions Physics18 questions

Isolation of ElementsChemistry · 1 questions BiomoleculesChemistry · 1 questions D and F Block ElementsChemistry · 1 questions P Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions ThermodynamicsChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions ElectrochemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions HyperbolaMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions EllipseMathematics · 1 questions Complex NumbersMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Definite IntegrationMathematics · 1 questions FunctionsMathematics · 2 questions Differential EquationsMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions 3D GeometryMathematics · 2 questions Mathematical Induction and Binomial TheoremMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions ElectrostaticsPhysics · 3 questions Properties of MatterPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Laws of MotionPhysics · 1 questions WavesPhysics · 1 questions Geometrical OpticsPhysics · 1 questions MagnetismPhysics · 1 questions MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions GravitationPhysics · 1 questions Work Power and EnergyPhysics · 2 questions

Q1.Galena (an ore) is partially oxidized by passing air through it at high temperature. After some time, the passage of air is stopped, but the heating is continued in a closed furnace such that the contents undergo self-reduction. The weight…
Chemistry · Isolation of Elements · Numerical
Q2.The Fischer presentation of $D$ -glucose is given below. The correct structure(s) of $β$ - $L$ -glucopyranose is (are) : Includes diagram
Chemistry · Biomolecules · Multiple correct
Q3.The correct option(s) to distinguish nitrate salts of $M n^{2 +}$ and $C u^{2 +}$ taken separately is (are)
Chemistry · D and F Block Elements · Multiple correct
Q4.The total number of compounds having at least one bridging oxo group among the molecules given below is . $N_{2} O_{3}, N_{2} O_{5}, P_{4} O_{6}, P_{4} O_{7}, H_{4} P_{2} O_{5}, H_{5} P_{3} O_{10}, H_{2} S_{2} O_{3}, H_{2} S_{2} O_{5}$ …
Chemistry · P Block Elements · Numerical
Q5.The correct option(s) regarding the complex $[C o (e n) (N H_{3})_{3} (H_{2} O)]^{3 +} (e n = H_{2} N C H_{2} C H_{2} N H_{2})$ is (are)
Chemistry · Coordination Compounds · Multiple correct
Q6.To measure the quantity of $M n C l_{2}$ dissolved in an aqueous solution, it was completely converted to $K M n O_{4}$ using the reaction, $M n C l_{2} + K_{2} S_{2} O_{8} + H_{2} O \to K M n O_{4} + H_{2} S O_{4} + H C l$ (equation not balanced). Few…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q7.Aniline reacts with mixed acid (conc. $H N O_{3}$ and conc. $H_{2} S O_{4}$ ) at $288 K$ to give P $(51%),$ Q $(47%)$ and R $(2%) .$ The major product(s) of the following reaction sequence… Includes diagram
Chemistry · Compounds Containing Nitrogen · Multiple correct
Q8.The surface of copper gets tarnished by the formation of copper oxide. $N_{2}$ gas was passed to prevent the oxide formation during heating of copper at $1250 K .$ However, the $N_{2}$ gas contains $1$ mole % of water vapor as impurity. The…
Chemistry · Thermodynamics · Numerical
Q9.For the given compound $X,$ the total number of optically active stereoisomers is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q10.In the following reaction sequence, the amount of $D$ (in g) formed from $10$ moles of acetophenone is . (Atomic weights in $g m o l^{- 1} : H = 1, C = 12, N = 14, O = 16, B r = 80.$ . The yield (%) corresponding to the… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q11.For a first order reaction $A (g) \to 2 B (g) + C (g)$ at constant volume and $300 K,$ the total pressure at the beginning $(t = 0)$ and at time $t$ are $P_{0}$ and $P_{1},$ respectively. Initially, only $A$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Multiple correct
Q12.Consider an electrochemical cell : $A (s) ∣ A^{n +} (a q, 2 M) ∣ B^{2 n +} (a q, 1 M) ∣ B (s) .$ The value of $Δ H^{\circ}$ for the cell reaction is twice…
Chemistry · Electrochemistry · Numerical
Q13.Consider the following reversible reaction, $A (g) + B (g) \to A B (g) .$ The activation energy of the backward reaction exceeds that of the forward reaction by $2 R T$ (in $J m o l^{- 1}$ ). If the…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q14.Match each set of hybrid orbitals from LIST - A with complex(es) given in LIST - B The correct option is Includes table
Chemistry · Coordination Compounds · MCQ
Q15.Dilution processes of different aqueous solutions, with water, are given in LIST - I. The effects of dilution of the solutions on $[H^{+}]$ are given in LIST - II (Note: Degree of dissociation (a) of weak acid and weak… Includes table
Chemistry · Ionic Equilibrium · MCQ
Q16.The desired product $X$ can be prepared by reacting the major product of the reactions in LIST-I with one or more appropriate reagents in LIST-II (given, order of migratory aptitude: aryl > alkyl > hydrogen) The correct option is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q17.LIST-I contains reactions and LIST-II contains major products. Match the reaction in LIST-I with one or more products in LIST-II and choose the correct option. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q18.For a reaction, $A ⇌ P,$ the plots of $[P]$ and $T_{1}$ with time at temperature $T_{1}$ and $T_{2}$ are given below. If $T_{2} > T_{1},$ the correct statement(s) is (are) (Assume $Δ H^{\circ}$ … Includes diagram
Chemistry · Thermodynamics · Multiple correct
Q19.For any positive integer n, define $f_{n} : (0, \infty) \to R$ as $f_{n} = j = 1 \sum n tan^{- 1} (\frac{1}{1 + ( x + j ) ( x + j - 1 )})$ for all x $\in$ (0, $\infty$ ). (Here, the inverse trigonometric…
Mathematics · Inverse Trigonometric Functions · Multiple correct
Q20.Let T be the line passing through the points P( $-$ 2, 7) and Q(2, $-$ 5). Let F1 be the set of al pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point,…
Mathematics · Hyperbola · Multiple correct
Q21.Let S be the set of all column matrices $b_{1} b_{2} b_{3}$ such that $b_{1}, b_{2}, b_{3} \in R$ and the system of equations (in real variables) $- x + 2 y + 5 z = b_{1} 2 x - 4 y + 3 z = b_{2} x - 2 y + 2 z = b_{3}$ …
Mathematics · Matrices and Determinants · Multiple correct
Q22.Consider two straight lines, each of which is tangent to both the circle x2 + y2 = (1/2) and the parabola y2 = 4x. Let these lines intersect at the point Q. Consider the ellipse whose centre is at the origin O(0, 0) and whose semi-major…
Mathematics · Ellipse · Multiple correct
Q23.Let s, t, r be non-zero complex numbers and L be the set of solutions $z = x + i y (x, y \in R, i = - 1)$ of the equation $sz + t \overline{z} + r = 0$ where $\overline{z}$ = x $-$ iy. Then, which of the following statement(s) is(are)…
Mathematics · Complex Numbers · Multiple correct
Q24.Let f : (0, $π$ ) $\to$ R be a twice differentiable function such that $t \to x lim \frac{f ( x ) s i n t - f ( t ) s i n x}{t - x} = sin^{2} x$ for all x $\in$ (0, $π$ ). If $f (\frac{π}{6}) = - \frac{π}{12}$ …
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q25.The value of the integral $\int_{0}^{1/2} \frac{1 + 3}{( ( x + 1 ) ^{2} ( 1 - x ) ^{6} ) ^{1/4}} d x$ is ........
Mathematics · Definite Integration · Numerical
Q26.Let P be a matrix of order 3 $\times$ 3 such that all the entries in P are from the set { $-$ 1, 0, 1}. Then, the maximum possible value of the determinant of P is ............ .
Mathematics · Matrices and Determinants · Numerical
Q27.Let X be a set with exactly 5 elements and Y be a set with exactly 7 elements. If $α$ is the number of one-one functions from X to Y and $β$ is the number of onto functions from Y to X, then the value of $\frac{1}{5 !} (β - α)$ …
Mathematics · Functions · Numerical
Q28.Let f : R $\to$ R be a differentiable function with f(0) = 0. If y = f(x) satisfies the differential equation $\frac{d y}{d x} = (2 + 5 y) (5 y - 2)$ , then the value of $n \to - \infty lim f (x)$ is ...........
Mathematics · Differential Equations · Numerical
Q29.Let f : R $\to$ R be a differentiable function with f(0) = 1 and satisfying the equation f(x + y) = f(x) f'(y) + f'(x) f(y) for all x, y $\in$ R. Then, the value of loge(f(4)) is ...........
Mathematics · Trigonometric Functions and Equations · Numerical
Q30.Let P be a point in the first octant, whose image Q in the plane x + y = 3 (that is, the line segment PQ is perpendicular to the plane x + y = 3 and the mid-point of PQ lies in the plane x + y = 3) lies on the Z-axis. Let the distance of P…
Mathematics · 3D Geometry · Numerical
Q31.Consider the cube in the first octant with sides OP, OQ and OR of length 1, along the X-axis, Y-axis and Z-axis, respectively, where O(0, 0, 0) is the origin. Let $S (\frac{1}{2}, \frac{1}{2}, \frac{1}{2})$ be the centre of…
Mathematics · 3D Geometry · Numerical
Q32.Let $X = (^{10} C_{1})^{2} + 2 (^{10} C_{2})^{2} + 3 (^{10} C_{3})^{2} + ... + 10 (^{10} C_{10})^{2}$ , where $^{10} C_{r}$ , r $\in$ {1, 2, ..., 10} denote binomial coefficients. Then, the value of $\frac{1}{1430} X$ is ..........
Mathematics · Mathematical Induction and Binomial Theorem · Numerical
Q33.Let $E_{1} = {x \in R : x \neq = 1 and \frac{x}{x - 1} > 0}$ and $E_{2} = {x \in E_{1} : sin^{- 1} (lo g_{e} (\frac{x}{x - 1})) is a real number}$ (Here, the inverse…
Mathematics · Functions · MCQ
Q34.In a high school, a committee has to be formed from a group of 6 boys M1, M2, M3, M4, M5, M6 and 5 girls G1, G2, G3, G4, G5. (i) Let $α$ 1 be the total number of ways in which the committee can be formed such that the committee has 5… Includes table
Mathematics · Permutations and Combinations · MCQ
Q35.Let $H : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ , where a > b > 0, be a hyperbola in the XY-plane whose conjugate axis LM subtends an angle of 60 $^{\circ}$ at one of its vertices N. Let the area of the $Δ$ LMN be $43$ … Includes table
Mathematics · Hyperbola · MCQ
Q36.Let $f_{1} : R \to R$ , $f_{2} : (- \frac{π}{2}, \frac{π}{2}) \to R$ , $f_{3} : (- 1, e^{π /2} - 2) \to R$ and $f_{4} : R \to R$ be functions defined by (i) $f_{1} (x) = sin (1 - e^{- x^{2}})$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q37.A particle, of mass $1 0^{- 3} k g$ and charge $1.0 C,$ is initially at rest. At time $t = 0,$ the particle comes under the influence of an electric field $E (t) = E_{0} sin$ $ω t i,$ where $E_{0} = 1.0 N C^{- 1}$ …
Physics · Electrostatics · Numerical
Q38.Consider a thin square plate floating on a viscous liquid in a large tank. The height $h$ of the liquid in the tank is much less than the width of the tank. The floating place is pulled horizontally with a constant velocity $μ_{0.}$ …
Physics · Properties of Matter · Multiple correct
Q39.An infinitely long thin non-conducting wire is parallel to the $z$ -axis and carries a uniform line charge density $λ .$ It pierces a thin non-conducting spherical shell of radius $R$ in such a way that the arc $P Q$ subtends an angle $12 0^{\circ}$ … Includes diagram
Physics · Electrostatics · Multiple correct
Q40.In a radioactive decay chain, $_{90}^{232} T h$ nucleus decays to $_{82}^{212} P b$ nucleus. Let $N_{α}$ and $N_{β}$ be the number of $α$ and $β^{-}$ particles, respectively, emitted in this decay process. Which of…
Physics · Atoms and Nuclei · Multiple correct
Q41.A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass $m = 0.4 k g$ is at rest on this surface. An impulse of $1.0 N s$ is applied to the block at time $t = 0$ so that it starts moving along the $x$ -axis with…
Physics · Laws of Motion · Numerical
Q42.In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency $500 H z$ is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances…
Physics · Waves · Multiple correct
Q43.A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $f,$ as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image… Includes diagram
Physics · Geometrical Optics · Multiple correct
Q44.A moving coil galvanometer has $50$ turns and each turn has an area $2 \times 1 0^{- 4} m^{2} .$ The magnetic field produced by the magnet inside the galvanometer is $0.02 T .$ The torsional constant of the suspension wire is $1 0^{- 4} N m r a d^{- 1} .$ …
Physics · Magnetism · Numerical
Q45.A ball is projected from the ground at an angle of $4 5^{o}$ with the horizontal surface. It reaches a maximum height of $120 m$ and returns to the ground. Upon hitting the ground for the first time, it loses half of its kinetic energy.…
Physics · Motion · Numerical
Q46.A steel wire of diameter $0.5 mm$ and Young's modulus $2 \times 1 0^{11} N m^{- 2}$ carries a load of mass $M .$ The length of the wire with the load is $1.0 m . A$ vernier scale with $10$ divisions is attached to the end of this wire.…
Physics · Units and Measurements · Numerical
Q47.One mole of a monatomic ideal gas undergoes an adiabatic expansion in which its volume becomes eight times its initial value. If the initial temperature of the gas is $100 K$ and the universal gas constant $R=8.0J\,mo{l^{ - 1}}{K^{ -…
Physics · Heat and Thermodynamics · Numerical
Q48.In a photoelectric experiment a parallel beam of monochromatic light with power of $200 W$ is incident on a perfectly absorbing cathode of work function $6.25 e v .$ The frequency of light is just above the threshold frequency so that the…
Physics · Dual Nature of Radiation · Numerical
Q49.Consider a hydrogen-like ionized atom with atomic number $Z$ with a single electron. In the emission spectrum of this atom, the photon emitted in the $n = 2$ to $n = 1$ transition has energy $74.8 e V$ higher than the photon emitted in the $n = 3$ …
Physics · Atoms and Nuclei · Numerical
Q50.A planet of mass $M,$ has two natural satellites with masses $m_{1}$ and $m_{2} .$ The radii of their circular orbits are $R_{1}$ and $R_{2}$ respectively, Ignore the gravitational force between the satellites. Define $v_{1}, L_{1}, K_{1}$ … Includes table
Physics · Gravitation · MCQ
Q51.The electric field $E$ is measured at a point $P (0, 0, d)$ generated due to various charge distributions and the dependence of $E$ on $d$ is found to be different for different charge distributions. List- $I$ contains different… Includes table
Physics · Electrostatics · MCQ
Q52.One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the $P V$ -diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the… Includes table Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q53.In the List- $I$ below, four different paths of a particle are given as functions of time. In these functions, $α$ and $β$ are positive constants of appropriate dimensions and $α e β$ In each case, the force acting… Includes table
Physics · Work Power and Energy · MCQ
Q54.A particle of mass $m$ is initially at rest at the origin. It is subjected to a force and starts moving along the $x$ -axis. Its kinetic energy $K$ changes with time as $d K / d t = γ t,$ where $γ$ is a positive constant of…
Physics · Work Power and Energy · Multiple correct