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2008 · Shift 2

66 questions · JEE Advanced

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2008 · Shift 2

2008 · Shift 2

66 questions · JEE Advanced

Chemistry22 questions Mathematics22 questions Physics22 questions

Structure of AtomChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Coordination CompoundsChemistry · 5 questions ElectrochemistryChemistry · 1 questions Surface ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions ThermodynamicsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 3 questions Solid StateChemistry · 3 questions Isolation of ElementsChemistry · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Complex NumbersMathematics · 1 questions Vector AlgebraMathematics · 3 questions 3D GeometryMathematics · 1 questions Differential EquationsMathematics · 1 questions Definite IntegrationMathematics · 1 questions DifferentiationMathematics · 2 questions Application of IntegrationMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions HyperbolaMathematics · 1 questions CircleMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions ProbabilityMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions MotionPhysics · 1 questions ElectrostaticsPhysics · 6 questions Atoms and NucleiPhysics · 1 questions WavesPhysics · 2 questions Work Power and EnergyPhysics · 2 questions Properties of MatterPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Laws of MotionPhysics · 1 questions MagnetismPhysics · 1 questions Rotational MotionPhysics · 3 questions Simple Harmonic MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions

Q1.Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS. Includes table
Chemistry · Structure of Atom · MCQ
Q2.The correct stability order for the following species is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Cellulose upon acetylation with excess acetic anhydride/H $_{2}$ SO $_{4}$ (catalytic) gives cellulose triacetate whose structure is :
Chemistry · Biomolecules · MCQ
Q4.In the following reaction sequence, the correct structure of E, F and G are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.Among the following, the coloured compound is :
Chemistry · Coordination Compounds · MCQ
Q6.Both [Ni(CO) $_{4}$ ] and [Ni(CN) $_{4}$ ] $^{2 -}$ are diamagnetic. They hybridisations of nickel in these complexes, respectively, are :
Chemistry · Coordination Compounds · MCQ
Q7.The IUPAC name of [Ni(NH $_{3}$ ) $_{4}$ ] [NiCl $_{4}$ ] is :
Chemistry · Coordination Compounds · MCQ
Q8.Electrolysis of dilute aqueous NaCl solution was carried out by passing 10 milli ampere current. The time required to liberate 0.01 mol of H $_{2}$ gas at the cathode is (1 Faraday = 96500 C mol $^{- 1}$ ].
Chemistry · Electrochemistry · MCQ
Q9.Among the following, the surfactant that will form micelles in aqueous solution at the lowest molar concentration at ambient condition is:
Chemistry · Surface Chemistry · MCQ
Q10.Solubility product constants (K $_{s p}$ ) of salts of types MX, MX $_{2}$ and M $_{3}$ X at temperature T are 4.0 $\times$ 10 $^{- 8}$ , 3.2 $\times$ 10 $^{- 14}$ and 2.7 $\times$ 10 $^{- 15}$ , respectively. Solubilities (mol dm $^{- 3}$ …
Chemistry · Ionic Equilibrium · MCQ
Q11.Statement 1 : Aniline on reaction with NaNO $_{2}$ /HCl at 0 $^{\circ}$ C followed by coupling with $β$ -naphthol gives a dark blue coloured precipitate. Statement 2 : The colour of the compound formed in the reaction of aniline with…
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Statement 1 : [Fe(H $_{2}$ O) $_{5}$ NO]SO $_{4}$ is paramagnetic. Statement 2 : The Fe in [Fe(H $_{2}$ O) $_{5}$ NO]SO $_{4}$ has three unpaired electrons.
Chemistry · Coordination Compounds · MCQ
Q13.Statement 1 : The geometrical isomers of the complex [M(NH $_{3}$ ) $_{4}$ Cl $_{2}$ ] are optically inactive. Statement 2 : Both geometrical isomers of the complex [M(NH $_{3}$ ) $_{4}$ Cl $_{2}$ ] possess axis of symmetry.
Chemistry · Coordination Compounds · MCQ
Q14.Statement 1 : There is a natural asymmetry between converting work to heat and converting heat to work. Statement 2 : No process is possible in which the sole result is the absorption of heat from a reservoir and its complete conversion…
Chemistry · Thermodynamics · MCQ
Q15.A tertiary alcohol H upon acid catalysed dehydration gives a product I. Ozonolysis of I leads to compounds J and K compound J upon reaction with $K O H$ gives benzyl alcohol and a compound L, whereas K on reaction with $K O H$ gives only M.… Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q16.A tertiary alcohol H upon acid catalysed dehydration gives a product I. Ozonolysis of I leads to compounds J and K compound J upon reaction with $K O H$ gives benzyl alcohol and a compound L, whereas K on reaction with $K O H$ gives only M.… Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q17.A tertiary alcohol H upon acid catalysed dehydration gives a product I. Ozonolysis of I leads to compounds J and K compound J upon reaction with $K O H$ gives benzyl alcohol and a compound L, whereas K on reaction with $K O H$ gives only M.… Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q18.In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling…
Chemistry · Solid State · MCQ
Q19.In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling…
Chemistry · Solid State · MCQ
Q20.In hexagonal systems of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling…
Chemistry · Solid State · MCQ
Q21.Match the compounds in Column I with their characteristic test(s)/reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS. Includes table Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q22.Match the conversions in Column I with the type(s) of reaction(s) given in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4 matrix given in the ORS. Includes table
Chemistry · Isolation of Elements · MCQ
Q23.Consider the function $f : (- \infty, \infty) \to (- \infty, \infty)$ defined by $f (x) = \frac{x ^{2} - a x + 1}{x ^{2} + a x + 1}, 0 < a < 2.$ Which of the following is true?
Mathematics · Limits Continuity and Differentiability · MCQ
Q24.A particle P stats from the point $z_{0}$ = 1 +2i, where $i = - 1$ . It moves horizontally away from origin by 5 unit and then vertically away from origin by 3 units to reach a point $z_{1}$ . From $z_{1}$ the particle moves $\sqrt…
Mathematics · Complex Numbers · MCQ
Q25.Consider the lines, $L_{1} : \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2} L_{2} : \frac{x - 2}{1} = \frac{y - 2}{2} = \frac{z - 3}{3}$ The shortest distance between $L_{1}$ and $L_{2}$ is :
Mathematics · Vector Algebra · MCQ
Q26.Consider the lines, $L_{1} : \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2} L_{2} : \frac{x - 2}{1} = \frac{y - 2}{2} = \frac{z - 3}{3}$ The distance of the point $(1, 1, 1)$ from the plane passing through the point $(- 1, - 2, - 1)$ …
Mathematics · 3D Geometry · MCQ
Q27.Consider the lines $L_{1} : \frac{x + 1}{3} = \frac{y + 2}{1} = \frac{z + 1}{2} L_{2} : \frac{x - 2}{1} = \frac{y + 2}{2} = \frac{z - 3}{3}$ The unit vector perpendicular to both $L_{1}$ and $L_{2}$ is :
Mathematics · Vector Algebra · MCQ
Q28.Let two non-collinear unit vectors $a$ and $b$ form an acute angle. A point $P$ moves so that at any time $t$ the position vector $O P$ (where $O$ is the origin) is given by $a cos t + b sin t .$ …
Mathematics · Vector Algebra · MCQ
Q29.Let a solution $y = y (x)$ of the differential equation, $x x^{2} - 1 d y - y y^{2} - 1 d x = 0$ satify $y (2) = \frac{2}{3} .$ STATEMENT-1 : $y (x) = sec (sec^{- 1} x - \frac{π}{6})$ …
Mathematics · Differential Equations · MCQ
Q30.Consider the function $f : (- \infty, \infty) \to (- \infty, \infty)$ defined by $f (x) = \frac{x ^{2} - a x + 1}{x ^{2} + a x + 1}, 0 < a < 2.$ Let $g (x) = 0 \int e^{x} \frac{f ^{'} ( t )}{1 + t ^{2}} d t .$ …
Mathematics · Definite Integration · MCQ
Q31.Consider the function $f : (- \infty, \infty) \to (- \infty, \infty)$ defined by $f (x) = \frac{x ^{2} - a x + 1}{x ^{2} + a x + 1}, 0 < a < 2.$ Which of the following is true?
Mathematics · Differentiation · MCQ
Q32.The area of the region between the curves $y = \frac{1 + s i n x}{c o s x}$ and $y = \frac{1 - s i n x}{c o s x}$ bounded by the lines $x = 0$ and $x = \frac{π}{4}$ is
Mathematics · Application of Integration · MCQ
Q33.Let $I = \int \frac{e ^{x}}{e ^{4 x} + e ^{2 x} + 1} d x, J = \int \frac{e ^{- x}}{e ^{- 4 x} + e ^{- 2 x} + 1} d x .$ Then for an arbitrary constant $C$ , the value of $J - I$ equals :
Mathematics · Indefinite Integrals · MCQ
Q34.Let the function $g : (- \infty, \infty) \to (- \frac{π}{2}, \frac{π}{2})$ be given by $g (u) = 2 tan^{- 1} (e^{u}) - \frac{π}{2} .$ Then, $g$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.Let $g (x) = lo g f (x)$ , where $f (x)$ is a twice differentiable positive function on (0, $\infty$ ) such that $f (x + 1) = x f (x)$ . Then for N = 1, 2, 3, ..., $g^{''} (N + \frac{1}{2}) - g^{''} (\frac{1}{2}) =$
Mathematics · Differentiation · MCQ
Q36.Consider a branch of the hyperbola $x^{2} - 2 y^{2} - 22 x - 42 y - 6 = 0$ with vertex at the point $A$ . Let $B$ be one of the end points of its latus rectum. If $C$ is the focus of the hyperbola nearest to the point $A$ , then…
Mathematics · Hyperbola · MCQ
Q37.Consider $L_{1} : 2 x + 3 y + p - 3 = 0 L_{2} : 2 x + 3 y + p + 3 = 0$ where p is a real number, and $C : x^{2} + y^{2} + 6 x - 10 y + 30 = 0$ STATEMENT-1 : If line $L_{1}$ is a…
Mathematics · Circle · MCQ
Q38.Suppose four distinct positive numbers $a_{1}, a_{2}, a_{3}, a_{4}$ are in G.P. Let $b_{1} = a_{1}, b_{2} = b_{1} + a_{2}, b_{3} = b_{2} + a_{3} an d b_{4} = b_{3} + a_{4}$ . STATEMENT-1: The numbers $b_{1}, b_{2}, b_{3}, b_{4}$ …
Mathematics · Sequences and Series · MCQ
Q39.Consider all possible permutations of the letters of the word ENDEANOEL. Match the Statements/Expressions in Column I with the Statements/Expressions in Column II. Includes table
Mathematics · Permutations and Combinations · MCQ
Q40.Let $a, b, c$ , $α, β$ be real numbers. Suppose $α, β$ are the roots of the equation $x^{2} + 2 p x + q = 0$ and $α, \frac{1}{β}$ are the roots of the equation $a x^{2} + 2 b x + c = 0,$ where $β^{2} \in {- 1, 0, 1}$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q41.Consider three points $P = (- sin (β - α), - cos β), Q = (cos (β - α), sin β)$ and $R = (cos (β - α + θ), sin (β - θ))$ where $0 < α, β, θ < \frac{π}{4}$ . Then :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q42.An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent is :
Mathematics · Probability · MCQ
Q43.Consider the lines given by: $L_{1} : x + 3 y - 5 = 0$ $L_{2} : 3 x - k y - 1 = 0$ $L_{3} : 5 x + 2 y - 12 = 0$ Match the Statement/Expressions in Column I with the Statements/Expressions in Column II. Includes table
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q44.Match the Statements/Expressions in Column I with the Statements/Expressions in Column II. Includes table
Mathematics · Trigonometric Functions and Equations · MCQ
Q45.STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary. STATEMENT-2: If the observer…
Physics · Motion · MCQ
Q46.Consider a system of three charges $\frac{q}{3}, \frac{q}{3}$ and $- \frac{2 q}{3}$ placed at points A, B and C, respectively, as shown in the figure. Take O to be the centre of the circle of radius R and angle CAB = 60 $^{\circ}$ Includes diagram
Physics · Electrostatics · MCQ
Q47.A radioactive sample S1 having activity of 5 $μ$ Ci has twice the number of nuclei as another sample S2 which has an activity of 10 $μ$ Ci. The half lives of S1 and S2 can be :
Physics · Atoms and Nuclei · MCQ
Q48.A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the waves is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in figure. The… Includes diagram
Physics · Waves · MCQ
Q49.A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k respectively (see figure I). The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supports have… Includes diagram
Physics · Work Power and Energy · MCQ
Q50.A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle $θ$ at which the speed of the bob is half of that at A, satisfies, Includes diagram
Physics · Work Power and Energy · MCQ
Q51.A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub-hemispherical soap bubble as… Includes diagram
Physics · Properties of Matter · MCQ
Q52.A vibrating string of certain length 1 under a tension T resonates with a mode corresponding to the first overtone (third harmonic) of an air column of length 75 cm inside a tube closed at one end. The string also generates 4 beats per…
Physics · Waves · MCQ
Q53.A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K = 2. The level of liquid is $\frac{d}{3}$ initially. Suppose the liquid level decreases at a constant speed V, the time… Includes diagram
Physics · Electrostatics · MCQ
Q54.A light beam is travelling from Region I to Region IV (Refer figure). The refractive index in Regions I, II, III and IV are $n_{0}, \frac{n _{0}}{2}, \frac{n _{0}}{6}$ and $\frac{n _{0}}{8}$ , respectively. The angle of incidence $θ$ … Includes diagram
Physics · Geometrical Optics · MCQ
Q55.STATEMENT 1 : It is easier to pull a heavy object than to push it on a level ground. and STATEMENT 2 : The magnitude of frictional force depends on the nature of the two surfaces in contact.
Physics · Laws of Motion · MCQ
Q56.STATEMENT 1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits. and STATEMENT 2 : The electrical potential of a sphere of radius R with charge Q uniformly distributed on the surface is given…
Physics · Electrostatics · MCQ
Q57.STATEMENT 1 : The sensitivity of a moving coil galvanometer is increased by placing a suitable magnetic material as a core inside the coil. and STATEMENT 2 : Soft iron has a high magnetic permeability and cannot be easily magnetized or…
Physics · Magnetism · MCQ
Q58.The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $ρ (r)$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The… Includes diagram
Physics · Electrostatics · MCQ
Q59.The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $ρ (r)$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The… Includes diagram
Physics · Electrostatics · MCQ
Q60.The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $ρ (r)$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The… Includes diagram
Physics · Electrostatics · MCQ
Q61.A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant $k$ which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically… Includes diagram
Physics · Rotational Motion · MCQ
Q62.A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant $k$ which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically… Includes diagram
Physics · Rotational Motion · MCQ
Q63.A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant $k$ which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically… Includes diagram
Physics · Rotational Motion · MCQ
Q64.Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column… Includes table Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q65.An optical component and an object S placed along its optic axis are given in Column I. The distance between the object and the component can be varied. The properties of images are given in Column II. Match all the properties of images… Includes table Includes diagram
Physics · Geometrical Optics · MCQ
Q66.Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the 4 $\times$ 4… Includes table Includes diagram
Physics · Heat and Thermodynamics · MCQ