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2015 · Shift 1

60 questions · JEE Advanced

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2015 · Shift 1

2015 · Shift 1

60 questions · JEE Advanced

Chemistry20 questions Mathematics20 questions Physics20 questions

Isolation of ElementsChemistry · 2 questions ElectrochemistryChemistry · 1 questions SolutionsChemistry · 1 questions Solid StateChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Structure of AtomChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions P Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions HydrocarbonsChemistry · 1 questions BiomoleculesChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Redox ReactionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Permutations and CombinationsMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions Vector AlgebraMathematics · 2 questions ParabolaMathematics · 3 questions Application of DerivativesMathematics · 1 questions Differential EquationsMathematics · 2 questions Definite IntegrationMathematics · 1 questions Application of IntegrationMathematics · 1 questions ProbabilityMathematics · 1 questions 3D GeometryMathematics · 2 questions Properties of TriangleMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions FunctionsMathematics · 1 questions ElectrostaticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions GravitationPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Wave OpticsPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Atoms and NucleiPhysics · 3 questions Rotational MotionPhysics · 2 questions MagnetismPhysics · 1 questions Current ElectricityPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions

Q1.Match the anionic species given in Column-I that are present in the ore(s) given in Column-II Includes table
Chemistry · Isolation of Elements · MCQ
Q2.Copper is purified by electrolytic refining of blister copper. The correct statement(s) about this process is(are)
Chemistry · Isolation of Elements · Multiple correct
Q3.All the energy released from the reaction $X \to Y, Δ_{t} G^{o}$ = -193 kJ mol-1 is used for oxidizing M $^{+}$ as M $^{+}$ $\to$ M $^{3 +}$ + 2e-, Eo = -0.25 V Under standard conditions, the number of moles of M $^{+}$ oxidized when one mole…
Chemistry · Electrochemistry · Numerical
Q4.If the freezing point of a 0.01 molal aqueous solution of a cobalt (III) chloride-ammonia complex(which behaves as a strong electrolyte) is – 0.0558oC, the number of chloride(s) in the coordination sphere of the complex is [Kf of water =…
Chemistry · Solutions · Numerical
Q5.If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes occupied by magnesium ions, m and n, respectively, are
Chemistry · Solid State · Multiple correct
Q6.Match the thermodynamics processes given under column I with expression given under column II Column I (A) Freezing water at 273 K and 1 atm (B) Expansion of 1 mol of an ideal gas into a vacuum under isolated conditions. (C) Mixing of…
Chemistry · Thermodynamics · MCQ
Q7.Among the triatomic molecules/ions, BeCl $_{2}$ , $N_{3}^{-}$ , N $_{2}$ O, $N O_{2}^{+}$ , O $_{3}$ , SCl $_{2}$ , $I C l_{2}^{-}$ , $I_{3}^{-}$ and XeF $_{2}$ , the total number of linear molecule(s)/ion(s) where the hybridization of the central atom does not have…
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q8.Not considering the electronic spin, the degeneracy of the second excited state( n = 3) of H atom is 9, while the degeneracy of the second excited state of H– is .
Chemistry · Structure of Atom · Numerical
Q9.The total number of stereoisomers that can exist for M is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q10.The number of resonance structure for N is . Includes diagram
Chemistry · Alcohols Phenols and Ethers · Numerical
Q11.The number of lone pairs of electrons in N $_{2}$ O $_{3}$ is .
Chemistry · P Block Elements · Numerical
Q12.For the octahedral complexes of Fe $^{3 +}$ in SCN $-$ (thiocyana-to-S) and in CN $-$ ligand environments, the difference between the spin-only magnetic moments in Bohr magnetons (when approximated to the nearest integer) is …
Chemistry · Coordination Compounds · Numerical
Q13.Compound(s) that on hydrogenation produce(s) optically inactive compound(s) is(are)
Chemistry · Haloalkanes and Haloarenes · Multiple correct
Q14.The major product of the following reaction is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q15.In the following reaction, the major product is Includes diagram
Chemistry · Hydrocarbons · Multiple correct
Q16.The structure of D-(+)-glucose is The structure of L-( $-$ )-glucose is Includes diagram
Chemistry · Biomolecules · Multiple correct
Q17.The major product of the reaction is Includes diagram
Chemistry · Compounds Containing Nitrogen · Multiple correct
Q18.The correct statements about Cr $^{2 +}$ and Mn $^{3 +}$ is(are) (Atomic numbers of Cr = 24 and Mn = 25)
Chemistry · D and F Block Elements · Multiple correct
Q19. $F e^{3 +}$ is reduced to $F e^{2 +}$ by using
Chemistry · Redox Reactions · Multiple correct
Q20.The % yield of ammonia as a function of time in the reaction $N_{2}$ (g) + 3 $H_{2}$ (g) $⇌$ 2 $N H_{3}$ (g), $Δ$ H < 0 at (P, T1) is given below: If this reactions is conducted at (P, T2), with T2 > T1, the % yield of… Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Multiple correct
Q21.Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that…
Mathematics · Permutations and Combinations · Numerical
Q22.The number of distinct solutions of the equation $\frac{5}{4} cos^{2} 2 x + cos^{4} x + sin^{4} x + cos^{6} x + sin^{6} x = 2$ in the interval $[0, 2 π]$ is
Mathematics · Trigonometric Functions and Equations · Numerical
Q23.Match the following : Column $I$ (A) In $R^{2},$ If the magnitude of the projection vector of the vector $α i + β j$ on $3 i + j$ and If $α = 2 + 3 β,$ …
Mathematics · Vector Algebra · MCQ
Q24.Let $P$ and $Q$ be distinct points on the parabola $y^{2} = 2 x$ such that a circle with $P Q$ as diameter passes through the vertex $O$ of the parabola. If $P$ lies in the first quadrant and the area of the triangle $Δ O P Q$ is $32,$ …
Mathematics · Parabola · Multiple correct
Q25.If the normals of the parabola $y^{2} = 4 x$ drawn at the end points of its latus rectum are tangents to the circle $(x - 3)^{2} + (y + 2)^{2} = r^{2}$ , then the value of $r^{2}$ is
Mathematics · Parabola · Numerical
Q26.Let the curve $C$ be the mirror image of the parabola $y^{2} = 4 x$ with respect to the line $x + y + 4 = 0$ . If $A$ and $B$ are the points of intersection of $C$ with the line $y = - 5$ , then the distance between $A$ and $B$ is
Mathematics · Parabola · Numerical
Q27.A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of $V m m^{3}$ , has a $2$ mm thick solid wall and is open at the top. The bottom of the container is a solid…
Mathematics · Application of Derivatives · Numerical
Q28.Let $y (x)$ be a solution of the differential equation $(1 + e^{x}) y^{'} + y e^{x} = 1.$ If $y (0) = 2$ , then which of the following statement is (are) true?
Mathematics · Differential Equations · Multiple correct
Q29.Consider the family of all circles whose centres lie on the straight line $y = x,$ If this family of circle is represented by the differential equation $P y^{''} + Q y^{'} + 1 = 0,$ where $x, y$ are functions of $y^{'}$ and $y^{'}$ $(h er e y^{'} = \frac{d y}{d x}, y^{''} = \frac{d ^{2} y}{d x ^{2}})$ …
Mathematics · Differential Equations · Multiple correct
Q30.Let $f : R \to R$ be a function defined by $f (x) = {[x], 0, x \leq 2 x > 2$ where $[x]$ is the greatest integer less than or…
Mathematics · Definite Integration · Numerical
Q31.Let $F (x) = x \int x^{2} + \frac{π}{6} 2 cos^{2} t (d t)$ for all $x \in R$ and $f : [0, \frac{1}{2}] \to [0, \infty]$ be a continuous function. For $a \in [0, \frac{1}{2}],$ …
Mathematics · Application of Integration · Numerical
Q32.The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least $0.96,$ is
Mathematics · Probability · Numerical
Q33.In $R^{3},$ consider the planes $P_{1} : y = 0$ and $P_{2} : x + z = 1.$ Let $P_{3}$ be the plane, different from $P_{1}$ and $P_{2}$ , which passes through the intersection of $P_{1}$ and $P_{2} .$ If the distance of the point $(0, 1, 0)$ from…
Mathematics · 3D Geometry · Multiple correct
Q34.In $R^{3},$ let $L$ be a straight lines passing through the origin. Suppose that all the points on $L$ are at a constant distance from the two planes $P_{1} : x + 2 y - z + 1 = 0$ and $P_{2} : 2 x - y + z - 1 = 0.$ Let $M$ be the locus of the…
Mathematics · 3D Geometry · Multiple correct
Q35.Let $Δ P QR$ be a triangle. Let $a = QR, b = R P$ and $c = P Q .$ If $a = 12, b = 43, b . c = 24,$ …
Mathematics · Vector Algebra · Multiple correct
Q36.Match the following : Includes table
Mathematics · Properties of Triangle · MCQ
Q37.Let X and Y be two arbitrary, 3 $\times$ 3, non-zero, skew-symmetric matrices and Z be an arbitrary 3 $\times$ 3, non-zero, symmetric matrix. Then which of the following matrices is(are) skew symmetric?
Mathematics · Matrices and Determinants · Multiple correct
Q38.Which of the following values of $α$ satisfy the equation $(1 - α)^{2} (2 + α)^{2} (3 + α)^{2} (1 + 2 α)^{2} (2 + 2 α)^{2} (3 + 2 α)^{2} (1 + 3 α)^{2} (2 + 3 α)^{2} (3 + 3 α)^{2} = - 648 α$ …
Mathematics · Matrices and Determinants · Multiple correct
Q39.Let $g : R \to R$ be a differentiable function with $g (0) = 0$ , $g^{'} (0) = 0$ and $g^{'} (1) e 0$ . Let $f (x) = {\frac{x}{∣ x ∣} g (x), 0, x e 0 x = 0$ and $h (x) = e^{∣ x ∣}$ …
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q40.Let $f (x) = sin (\frac{π}{6} sin (\frac{π}{2} sin x))$ for all $x \in R$ and g(x) = $\frac{π}{2} sin x$ for all x $\in$ R. Let $(f \circ g) (x)$ denote f(g(x)) and $(g \circ f) (x)$ denote g(f(x)).…
Mathematics · Functions · Multiple correct
Q41.The figures below depict two situations in which two infinitely long static line charges of constant positive line charge density $λ$ are kept parallel to each other. In their resulting electric field, point charges $q$ and $- q$ are… Includes diagram
Physics · Electrostatics · Multiple correct
Q42.Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 104 times the power emitted from B. The ratio $(\frac{λ _{A}}{λ _{B}})$ of their wavelengths $λ_{A}$ …
Physics · Heat and Thermodynamics · Numerical
Q43.A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature T. Assuming the gases are ideal, the correct statement(s) is(are)
Physics · Heat and Thermodynamics · Multiple correct
Q44.A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum height, its acceleration due to the planet’s gravity is $(\frac{1}{4})^{t h}$ of its value at the…
Physics · Gravitation · Numerical
Q45.Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on its circular scale. In the Vernier callipers, 5 divisions of the Vernier scale coincide with 4…
Physics · Units and Measurements · Multiple correct
Q46.Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a unit of mass M. Then the correct option(s) is(are)
Physics · Units and Measurements · Multiple correct
Q47.A Young's double slit interference arrangement with slits S1 and S2 is immersed in water (refractive index = 4/3) as shown in the figure. The positions of maxima on the surface of water are given by x2 = p2m2 $λ$ 2 $-$ d2, where $λ$ … Includes diagram
Physics · Wave Optics · Numerical
Q48.Consider a concave mirror and a convex lens (refractive index = 1.5) of focal length 10 cm each, separated by a distance of 50 cm in air (refractive index = 1) as shown in the figure. An object is placed at a distance of 15 cm from the… Includes diagram
Physics · Geometrical Optics · Numerical
Q49.An infinitely long uniform line charge distribution of charge per unit length $λ$ lies parallel to the y-axis in the y-z plane at $z = \frac{3}{2}$ a (see figure). If the magnitude of the flux of the electric field through… Includes diagram
Physics · Electrostatics · Numerical
Q50.Consider a hydrogen atom with its electron in the nth orbital. An electromagnetic radiation of wavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4 eV, then the value of n is (hc = 1242 eV nm)
Physics · Atoms and Nuclei · Numerical
Q51.Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C with linear speeds v1 and v2, respectively, and always remain in contact with the surfaces. If they reach B and D with… Includes diagram
Physics · Rotational Motion · Numerical
Q52.A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fuel. The amount of fuel at the beginning is such that the total power requirement of the village is 12.5 % of the…
Physics · Atoms and Nuclei · Numerical
Q53.A ring of mass M and radius R is rotating with angular speed $ω$ about a fixed vertical axis passing through its centre O with two point masses each of mass $\frac{M}{8}$ at rest at O. These masses can move radially outwards along two… Includes diagram
Physics · Rotational Motion · Multiple correct
Q54.Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line)… Includes diagram
Physics · Geometrical Optics · Multiple correct
Q55.A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field B. If F is the magnitude of the total magnetic force acting on the conductor, then the correct statements is/are Includes diagram
Physics · Magnetism · Multiple correct
Q56.In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are 2.7 $\times$ 10 $-$ 8 $Ω$ m and 1.0 $\times$ 10 $-$ 7 $Ω$ … Includes diagram
Physics · Current Electricity · Multiple correct
Q57.For photo-electric effect with incident photon wavelength $λ$ , the stopping potential is V0. Identify the correct variation(s) of V0 with $λ$ and $\frac{1}{λ}$ .
Physics · Dual Nature of Radiation · Multiple correct
Q58.Two independent harmonic oscillators of equal masses are oscillating about the origin with angular frequencies $ω$ 1 and $ω$ 2 and have total energies E1 and E2, respectively. The variations of their momenta p with positions x… Includes diagram
Physics · Simple Harmonic Motion · Multiple correct
Q59.Match the nuclear processes given in Column I with the appropriate option(s) in Column II: Includes diagram
Physics · Atoms and Nuclei · MCQ
Q60.A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potential energy of the particle are given in Column I (a and U0 are constants). Match the… Includes diagram
Physics · Work Power and Energy · MCQ