New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2013 · 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
2013 · Shift 2

2013 · 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 · 2 questions Chemical EquilibriumChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Alcohols Phenols and EthersChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions P Block ElementsChemistry · 4 questions Salt AnalysisChemistry · 2 questions ThermodynamicsChemistry · 2 questions Vector AlgebraMathematics · 1 questions Complex NumbersMathematics · 3 questions 3D GeometryMathematics · 2 questions ProbabilityMathematics · 2 questions Application of DerivativesMathematics · 3 questions Inverse Trigonometric FunctionsMathematics · 1 questions Properties of TriangleMathematics · 1 questions ParabolaMathematics · 3 questions CircleMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions ElectrostaticsPhysics · 1 questions GravitationPhysics · 1 questions Impulse and MomentumPhysics · 1 questions Work Power and EnergyPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions MagnetismPhysics · 3 questions WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Atoms and NucleiPhysics · 4 questions Current ElectricityPhysics · 1 questions Alternating CurrentPhysics · 1 questions Geometrical OpticsPhysics · 1 questions

Q1.The carbon–based reduction method is NOT used for the extraction of
Chemistry · Isolation of Elements · Multiple correct
Q2.In the nuclear transmutation 9 $B e_{4}$ + X $\to$ 8 $B e_{4}$ + Y (X, Y) is (are) :
Chemistry · Chemical Kinetics and Nuclear Chemistry · Multiple correct
Q3.An aqueous solution of X is added slowly to an aqueous solution of Y as shown in List – I. The variation in conductivity of these reactions in List – II. Match List – I with List – II and select the correct answer using the code given…
Chemistry · Electrochemistry · MCQ
Q4.The standard reduction potential data at 25oC is given below: Eo ( $F e^{3 +}$ , $F e^{2 +}$ ) = +0.77V; Eo ( $F e^{2 +}$ , $F e$ ) = -0.44V; Eo ( $C u^{2 +}$ , $C u$ ) = +0.34V; Eo ( $C u^{+}$ , $C u$ ) = +0.52V; Eo [ $O_{2}$ (g) + $H^{+}$ + 4e- $\to$ 2 $H_{2} O$ ] =…
Chemistry · Electrochemistry · MCQ
Q5.The thermal dissociation equilibrium of $C a C O_{3}$ (s) is studied under different conditions $C a C O_{3}$ (s) $⇋$ $C a O$ (s) + $C O_{2}$ (g). For this equilibrium, the correct statement(s) is (are)
Chemistry · Chemical Equilibrium · Multiple correct
Q6.The Ksp of $A g_{2} C r O_{4}$ is 1.1 $\times$ 10-12 at 298 K. The solubility (in mol/L) of $A g_{2} C r O_{4}$ in a 0.1 M $A g N O_{3}$ solution is
Chemistry · Ionic Equilibrium · Multiple correct
Q7.In the following reaction, the product/products formed is/are Includes diagram
Chemistry · Alcohols Phenols and Ethers · Multiple correct
Q8.The major product(s) of the following reaction is(are) Includes diagram
Chemistry · Alcohols Phenols and Ethers · Multiple correct
Q9.After completion of the reactions (I and II), the organic compound(s) in the reaction mixtures is(are) Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q10.The correct statement(s) about $O_{3}$ is(are)
Chemistry · P Block Elements · Multiple correct
Q11.An aqueous solution of a mixture of two inorganic salts, when treated with dilute $H C l$ , gave a precipitate (P) and a filtrate (Q). The precipitate (P) was found to dissolve in hot water. The filtrate (Q) remained unchanged, when treated…
Chemistry · Salt Analysis · MCQ
Q12.An aqueous solution of a mixture of two inorganic salts, when treated with dilute $H C l$ , gave a precipitate (P) and a filtrate (Q). The precipitate (P) was found to dissolve in hot water. The filtrate (Q) remained unchanged, when treated…
Chemistry · Salt Analysis · MCQ
Q13.P and Q are isomers of dicarboxylic acid $C_{4} H_{4} O_{4}$ . Both decolorise $B r_{2}$ / $H_{2} O$ . On heating, P forms the cyclic anhydride. Upon treatment with dilute alkaline $K M n O_{4}$ , P as well as Q could produce one or more than one from S, T and U.… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q14.P and Q are isomers of dicarboxylic acid $C_{4} H_{4} O_{4}$ . Both decolorise $B r_{2}$ / $H_{2} O$ . On heating, P forms the cyclic anhydride. Upon treatment with dilute alkaline $K M n O_{4}$ , P as well as Q could produce one or more than one from S, T and U.… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q15.A fixed mass m of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure. The succeeding operations that enable this transformation of states are Includes diagram
Chemistry · Thermodynamics · MCQ
Q16.A fixed mass m of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure. The pair of isochoric processes among the transformation of states is Includes diagram
Chemistry · Thermodynamics · MCQ
Q17.The reaction of $C l_{2}$ gas with cold-dilute and hot-concentrated $N a O H$ in water give sodium salts of two (different) oxoacids of chlorine, P and Q, respectively. The $C l_{2}$ gas reacts with $S O_{2}$ gas, in presence of charcoal, to give a…
Chemistry · P Block Elements · MCQ
Q18.The reaction of $C l_{2}$ gas with cold-dilute and hot-concentrated $N a O H$ in water give sodium salts of two (different) oxoacids of chlorine, P and Q, respectively. The $C l_{2}$ gas reacts with $S O_{2}$ gas, in presence of charcoal, to give a…
Chemistry · P Block Elements · MCQ
Q19.The unbalanced chemical reactions given in List I show missing reagent or condition (?) which are provided in List II. Match List I with List II and select the correct answer using the code given below the lists : Includes table
Chemistry · P Block Elements · MCQ
Q20.Match the chemical conversions in List I with the appropriate reagents in List II and select the correct answer using the code given below the lists : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q21.match List $I$ with List $I I$ and select the correct answer using the code given below the lists: List $I$ (P.) Volume of parallelopiped determined by vectors $a, b$ and…
Mathematics · Vector Algebra · MCQ
Q22.Let $ω = \frac{3 + i}{2}$ and $P = {ω^{n} : n = 1, 2, 3, \dots}$ . Further $H_{1} = {z \in C : Re z < \frac{1}{2}}$ and $H_{2} = {z \in C : Re z < \frac{- 1}{2}}$ …
Mathematics · Complex Numbers · Multiple correct
Q23.Consider the lines $L_{1} : \frac{x - 1}{2} = \frac{y}{- 1} = \frac{z + 3}{1}, L_{2} : \frac{x - 4}{1} = \frac{y + 3}{1} = \frac{z + 3}{2}$ and the planes $P_{1} : 7 x + y + 2 z = 3, P_{2} = 3 x + 5 y - 6 z = 4.$ Let $a x + b y + cz = d$ be…
Mathematics · 3D Geometry · MCQ
Q24.Two lines $L_{1} : x = 5, \frac{y}{3 - α} = \frac{z}{- 2}$ and $L_{2} : x = α, \frac{y}{- 1} = \frac{z}{2 - α}$ are coplanar. Then $α$ can take value(s)
Mathematics · 3D Geometry · Multiple correct
Q25.A box $B_{1}$ contains $1$ white ball, $3$ red balls and $2$ black balls. Another box $B_{2}$ contains $2$ white balls, $3$ red balls and $4$ black balls. A third box $B_{3}$ contains $3$ white balls, $4$ red balls and $5$ black balls. If $1$ …
Mathematics · Probability · MCQ
Q26.A box $B_{1}$ contains $1$ white ball, $3$ red balls and $2$ black balls. Another box $B_{2}$ contains $2$ white balls, $3$ red balls and $4$ black balls. A third box $B_{3}$ contains $3$ white balls, $4$ red balls and $5$ black balls. If $2$ …
Mathematics · Probability · MCQ
Q27.Let $f : [0, 1] \to R$ (the set of all real numbers) be a function. Suppose the function $f$ is twice differentiable, $f (0) = f (1) = 0$ and satisfies $f^{''} (x) - 2 f^{'} (x) + f (x) \geq . e^{x}, x \in [0, 1]$ …
Mathematics · Application of Derivatives · MCQ
Q28.Let $f : [0, 1] \to R$ (the set of all real numbers) be a function. Suppose the function $f$ is twice differentiable, $f (0) = f (1) = 0$ and satisfies $f^{''} (x) - 2 f^{'} (x) + f (x) \geq . e^{x}, x \in [0, 1]$ …
Mathematics · Application of Derivatives · MCQ
Q29.Match List $I$ with List $I I$ and select the correct answer using the code given below the lists: List $I P .$ $(\frac{1}{y ^{2}} (\frac{c o s ( t a n ^{- 1} y ) + y s i n ( t a n ^{- 1} y )}{c o t ( s i n ^{- 1} y ) + t a n ( s i n ^{- 1} y )})^{2} + y^{4})^{1/2}$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q30.In a triangle $P QR$ , $P$ is the largest angle and $cos P = \frac{1}{3}$ . Further the incircle of the triangle touches the sides $P Q$ , $QR$ and $R P$ at $M$ and $M$ respectively, such that the lengths of $P N, Q L$ and $R M$ are consecutive…
Mathematics · Properties of Triangle · Multiple correct
Q31.Let $P Q$ be a focal chord of the parabola $y^{2} = 4 a x$ . The tangents to the parabola at $P$ and $Q$ meet at a point lying on the line $y = 2 x + a$ , $a > 0$ . If chord $P Q$ subtends an angle $θ$ at the vertex of $y^{2} = 4 a x$ , then tan $θ =$ …
Mathematics · Parabola · MCQ
Q32.Let $P Q$ be a focal chord of the parabola $y^{2} = 4 a x$ . The tangents to the parabola at $P$ and $Q$ meet at a point lying on the line $y = 2 x + a$ , $a > 0$ . Length of chord $P Q$ is
Mathematics · Parabola · MCQ
Q33.A line $L : y = m x + 3$ meets $y$ -axis at R $(0, 3)$ and the arc of the parabola $y^{2} = 16 x, 0 \leq y \leq 6$ at the point $F (x_{0}, y_{0})$ . The tangent to the parabola at $F (x_{0}, y_{0})$ intersects the $y$ -axis…
Mathematics · Parabola · MCQ
Q34.Circle (s) touching x-axis at a distance 3 from the origin and having an intercept of length $27$ on y-axis is (are)
Mathematics · Circle · Multiple correct
Q35.If $3^{x} = 4^{x - 1},$ then $x =$
Mathematics · Quadratic Equation and Inequalities · Multiple correct
Q36.Let $S = S_{1} \cap S_{2} \cap S_{3}$ , where $S_{1} = {z \in C : ∣ z ∣ < 4}, S_{2} = {z \in C : Im o l imi t s [\frac{z - 1 + 3 i}{1 - 3 i}] > 0}$ and $S_{3} = {z \in C : Re o l imi t s z > 0}$ …
Mathematics · Complex Numbers · MCQ
Q37.Let $S = S_{1} \cap S_{2} \cap S_{3}$ , where $S_{1} = {z \in C : ∣ z ∣ < 4}, S_{2} = {z \in C : Im [\frac{z - 1 + 3 i}{1 - 3 i}] > 0}$ and $S_{3} = {z \in C : Re (z) > 0}$ …
Mathematics · Complex Numbers · MCQ
Q38. $a \in R$ (the set of all real numbers), a $e -$ 1, $n \to \infty lim \frac{( 1 ^{a} + 2 ^{a} + ... + n ^{a} )}{( n + 1 ) ^{a - 1} [( na + 1 ) + ( na + 2 ) + ... + ( na + n )]} = \frac{1}{60}$ , Then a = ?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q39.Let $ω$ be a complex cube root of unity with $ω e$ 1 and P = [pij] be a n $\times$ n matrix with pij = $ω$ i + j. Then P2 $e$ 0, when n = ?
Mathematics · Matrices and Determinants · Multiple correct
Q40.The function $f (x) = 2 ∣ x ∣ + ∣ x + 2 ∣ - ∣ ∣ x + 2 ∣ - 2 ∣ x ∣ ∣$ has a local minimum or a local maximum at x =
Mathematics · Application of Derivatives · Multiple correct
Q41.Two non-conducting spheres of radii $R_{1}$ and $R_{2}$ and carrying uniform volume charge densities $+ ρ$ and $- ρ,$ respectively, are placed such that they partially overlap, as shown in the figure. At all points in the… Includes diagram
Physics · Electrostatics · Multiple correct
Q42.Two bodies, each of mass M, are kept fixed with a separation $2 L$ . A particle of mass m is projected from the midpoint of the line joining their centres, perpendicular to the line. The gravitational constant is G. The correct statement(s)…
Physics · Gravitation · Multiple correct
Q43.A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizontal plane. The other end of the spring is fixed. The particle starts moving horizontally from its equilibrium position at…
Physics · Impulse and Momentum · Multiple correct
Q44.A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the… Includes diagram
Physics · Work Power and Energy · MCQ
Q45.A small block of mass 1 kg is released from rest at the top of a rough track. The track is circular arc of radius 40 m. The block slides along the track without toppling and a frictional force acts on it in the direction opposite to the… Includes diagram
Physics · Work Power and Energy · MCQ
Q46.Match List I with List II and select the correct answer using the codes given below the lists: List I P. Boltzmann Constant Q. Coefficient of viscosity R. Plank Constant S. Thermal conductivity List II 1. [ML2T-1] 2. [ML-1T-1] 3.…
Physics · Units and Measurements · MCQ
Q47.Using the expression $2 d sin θ = λ$ , one calculates the values of d by measuring the corresponding angles $θ$ in the range 0 to 90o. The wavelength $λ$ is exactly known and the error in $θ$ is constant for all…
Physics · Dual Nature of Radiation · Multiple correct
Q48.A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coaxially inside an infinite solenoid of radius 2R. The solenoid has n turns per unit length and carries a steady current…
Physics · Magnetism · Multiple correct
Q49.Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows along the road with velocity w. One of these vehicles blows a whistle of frequency f1. An observer in the other vehicle…
Physics · Waves · Multiple correct
Q50.The figure below shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temperature is increased continuously from 0 to 500 K at a constant rate. Ignoring any volume change, the following… Includes diagram
Physics · Heat and Thermodynamics · Multiple correct
Q51.The radius of the orbit of an electron in a hydrogen-like atom is 4.5a0, where a0 is the Bohr radius. Its orbital angular momentum is $\frac{3 h}{2 π}$ . It is given that h is Planck constant and R is Rydberg constant. The possible…
Physics · Atoms and Nuclei · Multiple correct
Q52.A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the power plant for consumers' usage. It can be transported either directly with a cable of large current carrying…
Physics · Current Electricity · MCQ
Q53.A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the power plant for consumers' usage. It can be transported either directly with a cable of large current carrying…
Physics · Alternating Current · MCQ
Q54.A point charge Q is moving in a circular orbit of radius R in the xy-plane with an angular velocity $ω$ . This can be considered as equivalent to a loop carrying a steady current $\frac{Q ω}{2 π}$ . A uniform magnetic field…
Physics · Magnetism · MCQ
Q55.A point charge Q is moving in a circular orbit of radius R in the xy-plane with an angular velocity $ω$ . This can be considered as equivalent to a loop carrying a steady current $\frac{Q ω}{2 π}$ . A uniform magnetic field…
Physics · Magnetism · MCQ
Q56.The mass of a nucleus $_{Z}^{A} X$ is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus.… Includes table
Physics · Atoms and Nuclei · MCQ
Q57.The mass of a nucleus $_{Z}^{A} X$ is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus.… Includes table
Physics · Atoms and Nuclei · MCQ
Q58.A right-angled prism of refractive index $μ$ 1 is placed in a rectangular block of refractive index $μ$ 2, which is surrounded by a medium of refractive index $μ$ 3, as shown in the figure. A ray of light e enters the rectangular block… Includes table Includes diagram
Physics · Geometrical Optics · MCQ
Q59.One mole of a monatomic ideal gas is taken along two cyclic processes E $\to$ F $\to$ G $\to$ E and E $\to$ F $\to$ H $\to$ E as shown in the PV diagram. The processes involved are purely isochoric, isobaric, isothermal or adiabatic. Match… Includes table Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q60.Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process and then select the correct answer using the codes given below the lists : Includes table
Physics · Atoms and Nuclei · MCQ