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2014 · Shift 2

60 questions · JEE Advanced

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2014 · Shift 2

2014 · Shift 2

60 questions · JEE Advanced

Chemistry20 questions Mathematics20 questions Physics20 questions

Chemical Kinetics and Nuclear ChemistryChemistry · 3 questions HydrogenChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions P Block ElementsChemistry · 2 questions HydrocarbonsChemistry · 2 questions Salt AnalysisChemistry · 2 questions Coordination CompoundsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions ProbabilityMathematics · 3 questions Trigonometric Functions and EquationsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions ParabolaMathematics · 2 questions Complex NumbersMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Mathematical Induction and Binomial TheoremMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions EllipseMathematics · 1 questions Differential EquationsMathematics · 1 questions DifferentiationMathematics · 1 questions Properties of TriangleMathematics · 1 questions Definite IntegrationMathematics · 4 questions FunctionsMathematics · 1 questions ElectrostaticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Properties of MatterPhysics · 4 questions GravitationPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Current ElectricityPhysics · 1 questions Laws of MotionPhysics · 2 questions Geometrical OpticsPhysics · 2 questions MagnetismPhysics · 2 questions

Q1.For the elementary reaction M $\to$ N, the rate of disappearance of M increases by a factor of 8 upon doubling the concentration of M. The order of the reaction with respect to M is
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q2.Hydrogen peroxide in its reaction with $K I O_{4}$ and $N H_{2} O H$ respectively, is acting as a
Chemistry · Hydrogen · MCQ
Q3.For the process $H_{2} O$ (l) $\to$ $H_{2} O$ (g) at T = 100oC and 1 atmosphere pressure, the correct choice is
Chemistry · Thermodynamics · MCQ
Q4.Assuming 2s – 2p mixing is NOT operative, the paramagnetic species among the following is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q5.For the identification of $β$ -naphthol using dye test, it is necessary to use
Chemistry · Alcohols Phenols and Ethers · MCQ
Q6.Isomers of hexane, based on their branching, can be divided into three distinct classes as shown in the figure. The correct order of their boiling point is Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q7.The acidic hydrolysis of ether (X) shown below is fastest when Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q8.The major product in the following reaction is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.The product formed in the reaction of $S O C l_{2}$ with white phosphorus is
Chemistry · P Block Elements · MCQ
Q10.Under ambient conditions, the total number of gases released as products in the final step of the reaction scheme shown below is Includes diagram
Chemistry · P Block Elements · MCQ
Q11.X and Y are two volatile liquids with molar weights of 10 g mol $-$ 1 and 40 g mol $-$ 1, respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as… Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q12.X and Y are two volatile liquids with molar weights of 10 g mol $-$ 1 and 40 g mol $-$ 1, respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as… Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q13.Schemes 1 and 2 describe sequential transformation of alkynes M and N. Consider only the major products formed in each step for both the schemes. The product X is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q14.Schemes 1 and 2 describe sequential transformation of alkynes M and N. Consider only the major products formed in each step for both the schemes. The correct statement with respect to product Y is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q15.An aqueous solution of metal ion M1 reacts separately with reagents Q and R in excess to give tetrahedral and square planar complexes, respectively. An aqueous solution of another metal ion M2 always forms tetrahedral complexes with these… Includes diagram
Chemistry · Salt Analysis · MCQ
Q16.An aqueous solution of metal ion M1 reacts separately with reagents Q and R in excess to give tetrahedral and square planar complexes, respectively. An aqueous solution of another metal ion M2 always forms tetrahedral complexes with these… Includes diagram
Chemistry · Salt Analysis · MCQ
Q17.Match each coordination compound in List I with an appropriate pair of characteristics from List II and select the correct answer using the code given below the lists. {en = H2NCH2CH2NH2; atomic numbers : Ti = 22, Cr = 24; Co = 27; Pt = 78} Includes table
Chemistry · Coordination Compounds · MCQ
Q18.Match the orbital overlap figures shown in List I with the description given in List II and select the correct answer using the code given below the lists. Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q19.Different possible thermal decomposition pathways for peroxyesters are shown below. Match each pathway from List I with an appropriate structure from List II and select the correct answer using the code given below the lists. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q20.Match the four starting materials (P, Q, R, S) given in List I with the corresponding reaction schemes (I, II, III, IV) provided in List II and select the correct answer using the code given below the lists. Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q21.Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than the number of girls ahead of her, is
Mathematics · Probability · MCQ
Q22.For $x \in (0, π),$ the equation $sin x + 2 sin 2 x - sin 3 x = 3$ has
Mathematics · Trigonometric Functions and Equations · MCQ
Q23.Match List $I$ with List $I I$ and select the correct answer using the code given below the lists: List- $I$ (P.) Let $y (x) = cos (3 cos^{- 1} x), x \in [- 1, 1], x e \pm \frac{3}{2} .$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q24.Box $1$ contains three cards bearing numbers $1, 2, 3;$ box $2$ contains five cards bearing numbers $1, 2, 3, 4, 5;$ and box $3$ contains seven cards bearing numbers $1, 2, 3, 4, 5, 6, 7.$ A card is drawn from each of the boxes. Let $x_{i}$ be number…
Mathematics · Probability · MCQ
Q25.Box $1$ contains three cards bearing numbers $1, 2, 3;$ box $2$ contains five cards bearing numbers $1, 2, 3, 4, 5;$ and box $3$ contains seven cards bearing numbers $1, 2, 3, 4, 5, 6, 7.$ A card is drawn from each of the boxes. Let $x_{i}$ be number…
Mathematics · Probability · MCQ
Q26.Let $a, r, s, t$ be nonzero real numbers. Let $P (a t^{2}, 2 a t), Q, R (a r^{2}, 2 a r)$ and $S (a s^{2}, 2 a s)$ be distinct points on the parabola $y^{2} = 4 a x$ . Suppose that $P Q$ is…
Mathematics · Parabola · MCQ
Q27.Let $z_{k}$ = $cos (\frac{2 k π}{10}) + i sin (\frac{2 k π}{10}); k = 1, 2...., 9$ List-I P. For each $z_{k}$ = there exits as $z_{j}$ such that $z_{k}$ . $z_{j}$ = 1 Q. There exists a $k \in {1, 2, ...., 9}$ …
Mathematics · Complex Numbers · MCQ
Q28.The quadratic equation $p (x) = 0$ with real coefficients has purely imaginary roots. Then the equation $p (p (x)) = 0$ has
Mathematics · Quadratic Equation and Inequalities · MCQ
Q29.Coefficient of $x^{11}$ in the expansion of $(1 + x^{2})^{4} (1 + x^{3})^{7} (1 + x^{4})^{12}$ is
Mathematics · Mathematical Induction and Binomial Theorem · MCQ
Q30.Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered…
Mathematics · Permutations and Combinations · MCQ
Q31.The common tangents to the circle $x^{2} + y^{2} = 2$ and the parabola $y^{2} = 8 x$ touch the circle at the points $R$ and the parabola at the points $R$ , $S$ . Then the area of the quadrilateral $P QR S$ is
Mathematics · Ellipse · MCQ
Q32.Let $a, r, s, t$ be nonzero real numbers. Let $P (a t^{2}, 2 a t), Q, R (a r^{2}, 2 a r)$ and $S (a s^{2}, 2 a s)$ be distinct points on the parabola $y^{2} = 4 a x$ . Suppose that $P Q$ is…
Mathematics · Parabola · MCQ
Q33.The function $y = f (x)$ is the solution of the differential equation $\frac{d y}{d x} + \frac{x y}{x ^{2} - 1} = \frac{x ^{4} + 2 x}{1 - x ^{2}}$ in $(- 1, 1)$ satisfying $f (0) = 0$ . Then $- \frac{3}{2} \int \frac{3}{2} f (x) d (x)$ …
Mathematics · Differential Equations · MCQ
Q34.Let $f : [0, 2] \to R$ be a function which is continuous on $[0, 2]$ and is differentiable on $(0, 2)$ with $f (0) = 1$ . Let $F (x) = 0 \int x^{2} f (t) d t$ for $x \in [0, 2]$ …
Mathematics · Differentiation · MCQ
Q35.In a triangle the sum of two sides is $x$ and the product of the same sides is $y$ . If $x^{2} - c^{2} = y$ , where $c$ is the third side of the triangle, then the ratio of the in radius to the circum-radius of the triangle is
Mathematics · Properties of Triangle · MCQ
Q36.The following integral $\frac{π}{4} \int \frac{π}{2} (2 csc x)^{17} d x$ is equal to
Mathematics · Definite Integration · MCQ
Q37.List - $I$ P. The number of polynomials $f (x)$ with non-negative integer coefficients of degree $f (0) = 0$ , satisfying $f (0) = 0$ and $\int_{0}^{1} f (x) d x = 1,$ is Q. The number of points in the interval $[- 13, 13]$ …
Mathematics · Definite Integration · MCQ
Q38.Given that for each $a \in (0, 1), h \to 0^{+} lim h \int 1 - h t^{- a} (1 - t)^{a - 1} d t$ exists. Let this limit be $g (a) .$ In addition, it is given that the…
Mathematics · Definite Integration · MCQ
Q39.Given that for each $a \in (0, 1), h \to 0^{+} lim h \int 1 - h t^{- a} (1 - t)^{a - 1} d t$ exists. Let this limit be $g (a) .$ In addition, it is given that the…
Mathematics · Definite Integration · MCQ
Q40.Let f1 : R $\to$ R, f2 : [0, $\infty$ ) $\to$ R, f3 : R $\to$ R, and f4 : R $\to$ [0, $\infty$ ) be defined by $f_{1} (x) = {∣ x ∣ e^{x} i f x < 0, i f x \geq 0;$ … Includes diagram
Mathematics · Functions · MCQ
Q41.Charges $Q, 2 Q$ and $4 Q$ are uniformly distributed in three dielectric solid spheres $3$ and $3$ of radii $R /2, R$ and $2 R$ respectively, as shown in figure. If magnitude of the electric fields at point $P$ at a distance $R$ from the… Includes diagram
Physics · Electrostatics · MCQ
Q42.Parallel rays of light of intensity $I$ = 912 Wm–2 are incident on a spherical black body kept in surroundings of temperature 300 K. Take Stefan-Boltzmann constant $σ$ = 5.7 $\times$ 10–8 Wm–2K–4 and assume that the energy exchange with…
Physics · Heat and Thermodynamics · MCQ
Q43.A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is at rest, the water jet coming out of the hole hits the floor of the lift at a distance d of 1.2 m from the person. In the… Includes table
Physics · Properties of Matter · MCQ
Q44.A planet of radius R = $\frac{1}{10} \times$ (radius of Earth) has the same mass density as Earth. Scientists dig a well of depth $\frac{R}{5}$ on it and lower a wire of the same length and of linear mass density 10-3 kg m-1 into it. If…
Physics · Gravitation · MCQ
Q45.A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of…
Physics · Work Power and Energy · MCQ
Q46.If $λ$ Cu is the wavelength of K $α$ X-ray line of copper (atomic number 29) and $λ$ Mo is the wavelength of the K $α$ X-ray line of molybdenum (atomic number 42), then the ratio $λ$ Cu/ $λ$ Mo is close to
Physics · Atoms and Nuclei · MCQ
Q47.A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u1 and u2, respectively. If the ratio u1 : u2 = 2 : 1 and hc = 1240 eV…
Physics · Dual Nature of Radiation · MCQ
Q48.During an experiment with a metre bridge, the galvanometer shall a null point when the jockey is pressed at 40.0 cm using a standard resistance of 90 $Ω$ , as shown in the figure. The least count of the scale used in the meter bridge… Includes diagram
Physics · Current Electricity · MCQ
Q49.A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the below figure. The bead is released from near the top of the wire and it slides along… Includes diagram
Physics · Laws of Motion · MCQ
Q50.A glass capillary tube is of the shape of truncated cone with an apex angle $α$ so that its two ends have cross sections of different radii. When dipped in water vertically, water rises in it to a height h, where the radius of its… Includes diagram
Physics · Properties of Matter · MCQ
Q51.A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the below figure. It is found that the light emerging from the block… Includes diagram
Physics · Geometrical Optics · MCQ
Q52.The figure shows a circular loop of radius a with two long parallel wires (numbered 1 and 2) all in the plane of the paper. The distance of each wire from the centre of the loop is d. The loop and the wires are carrying the same current I.… Includes diagram
Physics · Magnetism · MCQ
Q53.The figure shows a circular loop of radius a with two long parallel wires (numbered 1 and 2) all in the plane of the paper. The distance of each wire from the centre of the loop is d. The loop and the wires are carrying the same current I.… Includes diagram
Physics · Magnetism · MCQ
Q54.In the figure a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q55.In the figure a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q56.A spray gun is shown in the below figure where a piston pushes air out of a nozzle. A thin tube of uniform cross-section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through… Includes diagram
Physics · Properties of Matter · MCQ
Q57.A spray gun is shown in the below figure where a piston pushes air out of a nozzle. A thin tube of uniform cross-section is connected to the nozzle. The other end of the tube is in a small liquid container. As the piston pushes air through… Includes diagram
Physics · Properties of Matter · MCQ
Q58.Four charges Q1, Q2, Q3 and Q4 of same magnitude are fixed along the x axis at x = $-$ 2a, $-$ a, +a and +2a, respectively. A positive charge q is placed on the positive y axis at a distance b > 0. Four options of the signs of these… Includes table Includes diagram
Physics · Electrostatics · MCQ
Q59.Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the refractive index of all the lenses is 1.5. Match lens combinations in List I with their focal length in List II and… Includes diagram
Physics · Geometrical Optics · MCQ
Q60.A block of mass m1 = 1 kg another mass m2 = 2 kg, are placed together (see figure) on an inclined plane with angle of inclination $θ$ . Various values of $θ$ are given in List I. The coefficient of friction between the block m1… Includes table Includes diagram
Physics · Laws of Motion · MCQ