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2016 · Shift 2

54 questions · JEE Advanced

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2016 · Shift 2

2016 · Shift 2

54 questions · JEE Advanced

Chemistry18 questions Mathematics18 questions Physics18 questions

Isolation of ElementsChemistry · 1 questions ElectrochemistryChemistry · 1 questions SolutionsChemistry · 2 questions Solid StateChemistry · 1 questions Chemical EquilibriumChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions D and F Block ElementsChemistry · 1 questions BiomoleculesChemistry · 1 questions HydrocarbonsChemistry · 1 questions P Block ElementsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Complex NumbersMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions Vector AlgebraMathematics · 1 questions 3D GeometryMathematics · 1 questions ProbabilityMathematics · 2 questions Definite IntegrationMathematics · 2 questions Application of IntegrationMathematics · 1 questions Application of DerivativesMathematics · 1 questions EllipseMathematics · 2 questions ParabolaMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Simple Harmonic MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Rotational MotionPhysics · 3 questions Units and MeasurementsPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Current ElectricityPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions ElectrostaticsPhysics · 2 questions

Q1.Extraction of copper from copper pyrite ( $C u F e S_{2}$ ) involves
Chemistry · Isolation of Elements · Multiple correct
Q2.For the following electrochemical cell at 298 K Pt(s) | $H_{2}$ (g, 1 bar) | $H^{+}$ (aq, 1 M) || $M^{4 +}$ (aq), $M^{2 +}$ (aq) | Pt (s) Ecell = 0.092 V when ${{\ left[ {{M^{2 + }}(aq)} \right]} \over {\left[ {{M^{4 + }}(aq)} \right]}}$ = 10x…
Chemistry · Electrochemistry · MCQ
Q3.Mixture (s) showing positive deviation from Raoult’s law at 35oC is (are)
Chemistry · Solutions · Multiple correct
Q4.The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is (are) :
Chemistry · Solid State · Multiple correct
Q5.Paragraph Thermal decomposition of gaseous $X_{2}$ to gaseous X at 298 K takes place according to the following equations: $X_{2}$ (g) $⇋$ 2X (g) The standard reaction Gibbs energy, $Δ_{r} G^{o}$ , of this reaction is…
Chemistry · Chemical Equilibrium · MCQ
Q6.Paragraph Thermal decomposition of gaseous $X_{2}$ to gaseous X at 298 K takes place according to the following equations: $X_{2}$ (g) $⇋$ 2X (g) The standard reaction Gibbs energy, $Δ_{r} G^{o}$ , of this reaction is…
Chemistry · Chemical Equilibrium · MCQ
Q7.According to Molecular Orbital Theory, which of the following statements is(are) correct?
Chemistry · Chemical Bonding and Molecular Structure · Multiple correct
Q8.The geometries of the ammonia complexes of $N i^{2 +}$ , $P t^{2 +}$ and $Z n^{2 +}$ , respectively, are
Chemistry · Coordination Compounds · MCQ
Q9.The correct order of acidity for the following compounds is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.The major product of the following reaction sequence is: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.In the following reaction, sequence in aqueous solution, the species X, Y and Z, respectively, are $S_{2} O_{3}^{2 -} A g^{+} C l e a r so l u t i o n X A g^{+} W hi t e p r ec i p i t a t e Y W i t h t im e B l a c k p r ec i p i t a t e Z$ …
Chemistry · D and F Block Elements · MCQ
Q12.The qualitative sketches I, II and III given below show the variation of surface tension with molar concentration of three different aqueous solutions of $K C l$ , $C H_{3} O H$ and CH3(CH2) $_{11}$ OSO $_{3}^{-}$ Na+ at room temperature. The… Includes diagram
Chemistry · Solutions · MCQ
Q13.For "invert sugar", the correct statement(s) is(are) (Given : specific rotations of (+)-sucrose, (+)-maltose, L-( $-$ )-glucose and L-(+)-fructose in aqueous solution are +66 $^{\circ}$ , +140 $^{\circ}$ , $-$ 52 $^{\circ}$ and +92 $^{\circ}$ ,…
Chemistry · Biomolecules · Multiple correct
Q14.Among the following reaction(s), which gives(give) tert-butyl benzene as the major product is(are)
Chemistry · Hydrocarbons · Multiple correct
Q15.Reagent(s) which can be used to bring about the following transformation is(are) Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q16.The nitrogen containing compound produced in the reaction of $H N O_{3}$ with P4O $_{10}$
Chemistry · P Block Elements · Multiple correct
Q17.Treatment of compound O with $K M n O_{4}$ / $H^{+}$ gave P, which on heating with ammonia gave Q. The compound Q on treatment with $B r_{2}$ / $N a O H$ produced R. On strong heating, Q gave S, which on further treatment with ethyl 2-bromopropanoate in… Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q18.Treatment of compound O with $K M n O_{4}$ / $H^{+}$ gave P, which on heating with ammonia gave Q. The compound Q on treatment with $B r_{2}$ / $N a O H$ produced R. On strong heating, Q gave S, which on further treatment with ethyl 2-bromopropanoate in… Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q19.Let $a, b \in R an d a^{2} + b^{2} e 0$ . Suppose $S = {Z \in C : Z = \frac{1}{a + ib t}, + \in R, t e 0}$ , where $i = - 1$ . Ifz = x + iy and z $\in$ S, then (x, y) lies on
Mathematics · Complex Numbers · Multiple correct
Q20.The value of $k = 1 \sum 13 \frac{1}{s i n ( \frac{π}{4} + \frac{( k - 1 ) π}{6} ) s i n ( \frac{π}{4} + \frac{k π}{6} )}$ is equal to
Mathematics · Trigonometric Functions and Equations · MCQ
Q21.Let $u = u_{1} i + u_{2} j + u_{3} k$ be a unit vector in $R^{3}$ and $w = \frac{1}{6} (i + j + 2 k) .$ Given that there exists a vector $v$ …
Mathematics · Vector Algebra · Multiple correct
Q22.Let $P$ be the image of the point $(3, 1, 7)$ with respect to the plane $x - y + z = 3.$ Then the equation of the plane passing through $P$ and containing the straight line $\frac{x}{1} = \frac{y}{2} = \frac{z}{1}$ is
Mathematics · 3D Geometry · MCQ
Q23.Football teams $T_{1}$ and $T_{2}$ have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of $T_{1}$ winning, drawing and losing a game against $T_{2}$ are $\frac{1}{2}, \frac{1}{6}$ …
Mathematics · Probability · MCQ
Q24.Football teams $T_{1}$ and $T_{2}$ have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of $T_{1}$ winning, drawing and losing a game against $T_{2}$ are $\frac{1}{2}, \frac{1}{6}$ …
Mathematics · Probability · MCQ
Q25.Let $f (x) = n \to \infty lim (\frac{n ^{n} ( x + n ) ( x + \frac{n}{2} ) ... ( x + \frac{n}{n} )}{n ! ( x ^{2} + n ^{2} ) ( x ^{2} + \frac{n ^{2}}{4} ) .... ( x ^{2} + \frac{n ^{2}}{n ^{2}} )})^{\frac{x}{n}},$ …
Mathematics · Definite Integration · Multiple correct
Q26.Area of the region ${(x, y) \in R^{2} : y \geq ∣ x + 3 ∣, 5 y \leq x + 9 \leq 15}$ is equal to
Mathematics · Application of Integration · MCQ
Q27.The value of $- \frac{π}{2} \int \frac{π}{2} \frac{x ^{2} c o s x}{1 + e ^{x}} d x$ is equal to
Mathematics · Definite Integration · MCQ
Q28.Let f: R $\to (0, \infty)$ and g : R $\to$ R be twice differentiable functions such that f'' and g'' are continuous functions on R. Suppose f' $(2) =$ g $(2) = 0$ , f'' $(2) e 0$ and g' $(2) e 0$ . If $x \to 2 lim \frac{f ( x ) g ( x )}{f ^{'} ( x ) g ^{'} ( x )} = 1,$ …
Mathematics · Application of Derivatives · Multiple correct
Q29.Let $F_{1} (x_{1}, 0)$ and $F_{2} (x_{2}, 0)$ for $x_{1} < 0$ and $x_{2} > 0$ , be the foci of the ellipse $\frac{x ^{2}}{9} + \frac{y ^{2}}{8} = 1$ . Suppose a parabola having vertex at the origin and…
Mathematics · Ellipse · MCQ
Q30.Let $F_{1} (x_{1}, 0)$ and $F_{2} (x_{2}, 0)$ for $x_{1} < 0$ and $x_{2} > 0$ , be the foci of the ellipse $\frac{x ^{2}}{9} + \frac{y ^{2}}{8} = 1$ . Suppose a parabola having vertex at the origin and…
Mathematics · Ellipse · MCQ
Q31.Let $P$ be the point on the parabola $y^{2} = 4 x$ which is at the shortest distance from the center $S$ of the circle $x^{2} + y^{2} - 4 x - 16 y + 64 = 0$ . Let $Q$ be the point on the circle dividing the line segment $S P$ internally. Then
Mathematics · Parabola · Multiple correct
Q32.Let $P = 1416014001$ and I be the identity matrix of order 3. If $Q = [q_{ij}]$ is a matrix such that $P^{50} - Q = I$ and $\frac{q _{31} + q _{32}}{q _{21}}$ …
Mathematics · Matrices and Determinants · MCQ
Q33.Let bi > 1 for I = 1, 2, ......, 101. Suppose logeb1, logeb2, ......., logeb101 are in Arithmetic Progression (A.P.) with the common difference loge2. Suppose a1, a2, ......, a101 are in A.P. such that a1 = b1 and a51 = b51. If t = b1 +…
Mathematics · Sequences and Series · MCQ
Q34.Let a, b $\in$ R and f : R $\to$ R be defined by $f (x) = a cos (∣ x^{3} - x ∣) + b ∣ x ∣ sin (∣ x^{3} + x ∣)$ . Then f is
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q35.Let a, $λ$ , m $\in$ R. Consider the system of linear equations ax + 2y = $λ$ 3x $-$ 2y = $μ$ Which of the following statements is(are) correct?
Mathematics · Matrices and Determinants · Multiple correct
Q36.Let $f : [- \frac{1}{2}, 2] \to R$ and $g : [- \frac{1}{2}, 2] \to R$ be function defined by $f (x) = [x^{2} - 3]$ and $g (x) = ∣ x ∣ f (x) + ∣4 x - 7∣ f (x)$ , where [y] denotes the greatest integer less than or equal…
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q37.A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude A about an equilibrium position x0. Consider two…
Physics · Simple Harmonic Motion · Multiple correct
Q38.A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure Pi = 105 Pa and volume Vi = 10-3 m3 changes to a final state at Pf = $(\frac{1}{32}) \times 1 0^{5} P a$ and…
Physics · Heat and Thermodynamics · MCQ
Q39.The ends Q and R of two thin wires, PQ and RS, are soldered (joined) together. Initially each of the wires has a length of 1 m at 10oC. Now the end P is maintained at 10oC, while the end S is heated and maintained at 400oC. The system is…
Physics · Heat and Thermodynamics · MCQ
Q40.Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length $l = 24 a$ through their centers. This assembly is laid on a firm and flat surface, and set… Includes diagram
Physics · Rotational Motion · Multiple correct
Q41.In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a periodic motion is $T = 2 π \frac{7 ( R - r )}{5 g}$ . The values of R and r are measured to be (60 $\pm$ …
Physics · Units and Measurements · Multiple correct
Q42.There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The Vernier scale of one of the calipers (C1) has 10 equal divisions that correspond to 9 main scale divisions. The Vernier scale of… Includes diagram
Physics · Units and Measurements · MCQ
Q43.An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for…
Physics · Atoms and Nuclei · MCQ
Q44.The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by $E = \frac{3}{5} \frac{Z ( Z - 1 ) e ^{2}}{4 π ε _{0} R}$ The measured masses of the neutron, $_{1}^{1} H$ , $_{7}^{15} N$ …
Physics · Atoms and Nuclei · MCQ
Q45.A small object is placed 50 cm to the left of a thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 cm is placed to the right of the lens at a distance of 50 cm. The mirror is tilted such that the… Includes diagram
Physics · Geometrical Optics · MCQ
Q46.Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers Rc < R/2, which of the following statement(s) about anyone of the galvanometers is(are) true?
Physics · Current Electricity · Multiple correct
Q47.A rigid wire loop of square shape having side of length L and resistance R is moving along the X-axis with a constant velocity v0 in the plane of the paper. At t = 0, the right edge of the loop enters a region of length 3L where there is a… Includes diagram
Physics · Electromagnetic Induction · Multiple correct
Q48.While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the XY-plane containing two small holes that act as two coherent point sources (S1, S2) emitting light of wavelength 600 mm.… Includes diagram
Physics · Wave Optics · Multiple correct
Q49.In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is (are) true? Includes diagram
Physics · Current Electricity · Multiple correct
Q50.Light of wavelength $λ$ ph falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is $ϕ$ and the anode is a wire mesh of conducting material kept at a distance d from the… Includes diagram
Physics · Dual Nature of Radiation · Multiple correct
Q51.A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular… Includes diagram
Physics · Rotational Motion · MCQ
Q52.A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular… Includes diagram
Physics · Rotational Motion · MCQ
Q53.Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with… Includes diagram
Physics · Electrostatics · MCQ
Q54.Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with… Includes diagram
Physics · Electrostatics · MCQ