New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2011 · Shift 2

60 questions · JEE Advanced

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Advanced
Papers
2011 · Shift 2

2011 · Shift 2

60 questions · JEE Advanced

Chemistry20 questions Mathematics20 questions Physics20 questions

Isolation of ElementsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions SolutionsChemistry · 1 questions Solid StateChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions HydrocarbonsChemistry · 2 questions Salt AnalysisChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions PolymersChemistry · 1 questions Redox ReactionsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions P Block ElementsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Complex NumbersMathematics · 1 questions CircleMathematics · 2 questions ParabolaMathematics · 2 questions HyperbolaMathematics · 1 questions Application of IntegrationMathematics · 1 questions ProbabilityMathematics · 1 questions Vector AlgebraMathematics · 2 questions Differential EquationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions FunctionsMathematics · 3 questions Matrices and DeterminantsMathematics · 2 questions ElectrostaticsPhysics · 2 questions Simple Harmonic MotionPhysics · 2 questions GravitationPhysics · 1 questions Impulse and MomentumPhysics · 1 questions MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Work Power and EnergyPhysics · 2 questions Wave OpticsPhysics · 1 questions MagnetismPhysics · 1 questions Properties of MatterPhysics · 1 questions Alternating CurrentPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Current ElectricityPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions WavesPhysics · 1 questions

Q1.Oxidation states of the metal in the minerals haematite and magnetite, respectively are
Chemistry · Isolation of Elements · MCQ
Q2.For the first order reaction 2 $N_{2} O_{5}$ (g) $\to$ 4 $N O_{2}$ (g) + $O_{2}$ (g)
Chemistry · Chemical Kinetics and Nuclear Chemistry · Multiple correct
Q3.Consider the following cell reaction: 2Fe(s) + $O_{2}$ (g) + 4 $H^{+}$ (aq) $\to$ 2 $F e^{2 +}$ (aq) + 2 $H_{2} O$ (l); Eo = 1.67 V At [ $F e^{2 +}$ ] = 10-3 M, P( $O_{2}$ ) = 0.1 atm and pH = 3, the cell potential at 25oC is
Chemistry · Electrochemistry · MCQ
Q4.The freezing point (in oC) of a solution containing 0.1 g of $K_{3} [F e (C N)_{6}]$ (Mol. wt. 329) in 100 g of water (Kf = 1.86 K kg mol-1) is
Chemistry · Solutions · MCQ
Q5.The number of hexagonal faces that are present in a truncated octahedron is .
Chemistry · Solid State · Numerical
Q6.In 1 L saturated solution of $A g C l$ [Ksp( $A g C l$ ) = 1.6 $\times$ 10-10], 0.1 mol of $C u C l$ [Ksp( $C u C l$ ) = 1.0 $\times$ 10-6] is added. The resultant concentration of $A g^{+}$ in the solution is 1.6 $\times$ 10-x. The value of "x" is
Chemistry · Ionic Equilibrium · Numerical
Q7.Match the transformations in column I with appropriate options in column II Column I (A) $C O_{2}$ (s) $\to$ $C O_{2}$ (g) (B) $C a C O_{3}$ (s) $\to$ $C a O$ (s) + $C O_{2}$ (g) (C) 2 $H$ $\to$ $H_{2}$ (g) (D) $P$ (white, solid) $\to$ $P$ (red, solid) Column II (p)…
Chemistry · Thermodynamics · MCQ
Q8.Among the following complexes (K-P), $K_{3} [F e (C N)_{6}]$ (K), $[C o (N H_{3})_{6}] C l_{3}$ (L), $N a_{3} [C o (o x a l a t e)_{3}]$ (M), $[N i (H_{2} O)_{3}] C l_{2}$ (N), $K_{2} [P t (C N)_{4}]$ (O) and $[Z n (H_{2} O)_{6} (N O_{3})_{2}]$ (P) The diamagnetic complexes are
Chemistry · Coordination Compounds · MCQ
Q9.The major product of the following reaction is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q10.Passing $H_{2} S$ gas into a mixture of $M n^{2 +}$ , $N i^{2 +}$ , $C u^{2 +}$ and $H g^{2 +}$ ions in an acidified aqueous solution precipitates
Chemistry · Salt Analysis · MCQ
Q11.Amongst the compounds given, the one that would from a brilliant coloured dye on treatment with $N a N O_{2}$ in dil. $H C l$ followed by addition to an alkaline solution of $β$ -naphthlol is
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.The following carbohydrate is Includes diagram
Chemistry · Biomolecules · MCQ
Q13.The equilibrium $2 C u^{+} \to C u^{\circ} + C u^{2 +}$ In aqueous medium at 25 $^{\circ}$ C shifts towards the left in the presence of
Chemistry · Chemical Equilibrium · Multiple correct
Q14.The correct functional group X and the reagent/reaction condition Y in the following scheme are Includes diagram
Chemistry · Polymers · Multiple correct
Q15.Reduction of the metal centre in aqueous permanganate ion involves
Chemistry · Redox Reactions · Multiple correct
Q16.The total number of contributing structure showing hyper-conjugation (involving C-H bonds) for the following carbocation is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q17.Among the following, the number of compounds that can react with $P C l_{5}$ to given $P O C l_{3}$ is . $O_{2}$ , $C O_{2}$ , $S O_{2}$ , $H_{2} O$ , $H_{2} S O_{4}$ , $P_{4} O$ {}_{10}
Chemistry · P Block Elements · Numerical
Q18.The volume (in mL) of 0.1 M $A g N O_{3}$ required for complete precipitation of chloride ions present in 30 mL of 0.01 M solution of $[C r (H_{2} O)_{5} C l] C l_{2}$ , as silver chloride is close to .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.The maximum number of isomers (including stereoisomers) that are possible on mono-chlorination of the following compound, is . Includes diagram
Chemistry · Hydrocarbons · Numerical
Q20.Match the reactions in Column I with appropriate types of steps/reactive intermediate involved in these reactions as given in Column II : Includes table Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q21.The number of distinct real roots of $x^{4} - 4 x^{3} + 12 x^{2} + x - 1 = 0$
Mathematics · Quadratic Equation and Inequalities · Numerical
Q22.Let $ω = e^{\frac{iπ}{3}}$ , and a, b, c, x, y, z be non-zero complex numbers such that $a + b + c = x a + bω + c ω^{2} = y a + b ω^{2} + c ω = z$ Then the value of $\frac{∣ x ∣ ^{2} + ∣ y ∣ ^{2} + ∣ z ∣ ^{2}}{∣ a ∣ ^{2} + ∣ b ∣ ^{2} + ∣ c ∣ ^{2}}$ …
Mathematics · Complex Numbers · Numerical
Q23.A value of $b$ for which the equations $x^{2} + b x - 1 = 0 x^{2} + x + b = 0$ have one root in common is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.The circle passing through the point (-1, 0) and touching the y-axis at (0, 2) also passes through the point.
Mathematics · Circle · MCQ
Q25.The straight line 2x - 3y = 1 divides the circular region $x^{2} + y^{2} \leq 6$ into two parts. If $S = {(2, \frac{3}{4}), (\frac{5}{2}, \frac{3}{4}), (\frac{1}{4} - \frac{1}{4}), (\frac{1}{8}, \frac{1}{4})}$ …
Mathematics · Circle · Numerical
Q26.Let $(x, y)$ be any point on the parabola $y^{2} = 4 x$ . Let $P$ be the point that divides the line segment from $(0, 0)$ to $(x, y)$ in the ratio $1 : 3$ . Then the locus of $P$ is
Mathematics · Parabola · MCQ
Q27.Let $P (6, 3)$ be a point on the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ . If the normal at the point $P$ intersects the $x$ -axis at $(9, 0)$ , then the eccentricity of the hyperbola is
Mathematics · Hyperbola · MCQ
Q28.Let f $:$ $[- 1, 2] \to [0, \infty]$ be a continuous function such that $f (x) = f (1 - x)$ for all $x \in [- 1, 2]$ Let $R_{1} = - 1 \int 2 x f (x) d x,$ …
Mathematics · Application of Integration · MCQ
Q29.Let $E$ and $F$ be two independent events. The probability that exactly one of them occurs is $\frac{11}{25}$ and the probability of none of them occurring is $\frac{2}{25}$ . If $P (T)$ denotes the probability of occurrence of…
Mathematics · Probability · Multiple correct
Q30.Match the statements given in Column - $I$ with the values given in Column- $I I .$ Column- $I$ (A) If $a = j + 3 k, b = - j + 3 k$ …
Mathematics · Vector Algebra · MCQ
Q31.Let $a = - i - k, b = - i + j$ and $c = i + 2 j + 3 k$ be three given vectors. If $r$ is a vector such that $r \times b = c \times b$ …
Mathematics · Vector Algebra · Numerical
Q32.Let $y^{'} (x) + y (x) g^{'} (x) = g (x), g^{'} (x), y (0) = 0, x \in R,$ where $f^{'} (x)$ denotes $\frac{df ( x )}{d x}$ and $g (x)$ is a given non-constant…
Mathematics · Differential Equations · Numerical
Q33.If $x \to 0 lim [1 + x ln (1 + b^{2})]^{1/ x} = 2 b sin^{2} θ$ , $b > 0$ and $θ \in (- π, π]$ , then the value of $θ$ is
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.Let f(x) = x2 and g(x) = sin x for all x $\in$ R. Then the set of all x satisfying $(f \circ g \circ g \circ f) (x) = (g \circ g \circ f) (x)$ , where $(f \circ g) (x) = f (g (x))$ , is
Mathematics · Functions · MCQ
Q35.Let $ω e$ 1 be a cube root of unity and S be the set of all non-singular matrices of the form $1 ω ω^{2} a 1 ω b c 1$ ,…
Mathematics · Matrices and Determinants · MCQ
Q36.If $f (x) = {- x - \frac{π}{2}, - cos x x \leq - \frac{π}{2} - \frac{π}{2} 1$ , then
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q37.Let $f : (0, 1) \to R$ be defined by $f (x) = \frac{b - x}{1 - b x}$ , where b is a constant such that $0 < b < 1$ . Then
Mathematics · Functions · Multiple correct
Q38.Let L be a normal to the parabola y2 = 4x. If L passes through the point (9, 6), then L is given by
Mathematics · Parabola · Multiple correct
Q39.Let M be a 3 $\times$ 3 matrix satisfying $M 010 = - 1 23$ , $M 1 - 1 0 = 11 - 1$ …
Mathematics · Matrices and Determinants · Numerical
Q40.Match the statements given in Column I with the intervals/union of intervals given in Column II : Includes diagram
Mathematics · Functions · MCQ
Q41.Which of the following statement(s) is/are correct?
Physics · Electrostatics · Multiple correct
Q42.A wooden block performs $S H M$ on a frictionless surface with frequency, $v_{0} .$ The block carries a charge $+ Q$ on its surface . If now a uniform electric field $E$ is switched- on as shown, then the $S H M$ of the block… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q43.Which of the field patterns given below is valid for electric field as well as for magnetic field ?
Physics · Electrostatics · MCQ
Q44.A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $x_{1} (t) = A sin ω t$ and $x_{2} (t) = A sin (ω t + \frac{2 π}{3})$ . Adding a third…
Physics · Simple Harmonic Motion · MCQ
Q45.A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its ejection, the…
Physics · Gravitation · MCQ
Q46.A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet of mass 0.01 kg, traveling with a velocity V m/s in a horizontal direction, hits the center of the ball. After the collision, the ball and bullet travel independently.… Includes diagram
Physics · Impulse and Momentum · MCQ
Q47.A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a ball forward with a speed of 10 m/s, at an angle of $6 0^{\circ}$ to the horizontal. The boy has to move forward by 1.15 m inside…
Physics · Motion · Numerical
Q48.The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and…
Physics · Units and Measurements · MCQ
Q49.A block of mass 0.18 kg is attached to a spring of force-constant 2 N/m. The coefficient of friction between the block and the floor is 0.1. Initially the block is at rest and the spring is un-stretched. An impulse is given to the block as… Includes diagram
Physics · Work Power and Energy · Numerical
Q50.A light ray travelling in glass medium is incident on glass-air interface at an angle of incidence $θ$ . The reflected (R) and transmitted (T) intensities, both as function of $θ$ , are plotted. The correct sketch is
Physics · Wave Optics · MCQ
Q51.A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b. The spiral lies in the xy-plane and a steady current I flows through the wire. The z-component of the magnetic field at… Includes diagram
Physics · Magnetism · MCQ
Q52.Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are fully immersed in a fluid of density dF. They get arranged into an equilibrium state as shown in the figure with a tension… Includes diagram
Physics · Properties of Matter · Multiple correct
Q53.A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of mass 0.1 kg, moving with velocity 20 m/s in the opposite direction hits the ring at a height of 0.75 m and goes… Includes diagram
Physics · Work Power and Energy · Multiple correct
Q54.A series RC-current is connected to AC voltage source. Consider two cases : (A) When C is without a dielectric medium and (B) when C is filled with dielectric of constant 4. The current IR through the resistor and voltage VC across the…
Physics · Alternating Current · Multiple correct
Q55.A series RC combination is connected to an AC voltage of angular frequency $ω$ = 500 rad/s. If the impedance of the RC circuit is R $1.25$ , the time constant (in millisecond) of the circuit is .
Physics · Alternating Current · Numerical
Q56.A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is under continuous illumination of 200 nm wavelength light. As photoelectrons are emitted, the sphere gets charged and…
Physics · Dual Nature of Radiation · Numerical
Q57.Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts is . Includes diagram
Physics · Current Electricity · Numerical
Q58.Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex surface of radius of curvature R = 6 cm as shown. Consider oil to act a thin lens. An object S is placed 24 cm above… Includes diagram
Physics · Geometrical Optics · Numerical
Q59.One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV diagram. Column II give the characteristics involved in the cycle. Match them with each of the processes given in Column I. Includes table Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q60.Column I shows four systems, each of the same length L, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as $λ$ f. Match each system with… Includes diagram
Physics · Waves · MCQ