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2018 · Shift 1

54 questions · JEE Advanced

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2018 · Shift 1

2018 · Shift 1

54 questions · JEE Advanced

Chemistry18 questions Mathematics18 questions Physics18 questions

Coordination CompoundsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 5 questions P Block ElementsChemistry · 2 questions Solid StateChemistry · 1 questions D and F Block ElementsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions SolutionsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Complex NumbersMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions Application of IntegrationMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Vector AlgebraMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions CircleMathematics · 1 questions EllipseMathematics · 1 questions ProbabilityMathematics · 2 questions Rotational MotionPhysics · 4 questions Properties of MatterPhysics · 2 questions MagnetismPhysics · 2 questions WavesPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions CapacitorPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electromagnetic WavesPhysics · 2 questions Units and MeasurementsPhysics · 2 questions

Q1.The correct statement(s) regarding the binary transition metal carbonyl compounds is(are) (Atomic numbers : $F e = 26, N i = 28$ )
Chemistry · Coordination Compounds · Multiple correct
Q2.Treatment of benzene with $C O / H C l$ in the presence of anhydrous $A l C l_{3} / C u C l$ followed by reaction with $A c_{2} O / N a O A c$ gives compound $X$ as the major product. Compound $X$ upon reaction with $B r_{2} / N a_{2} C O_{3},$ followed by heating…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The compounds(s) which generate(s) $N_{2}$ gas upon thermal decomposition below $30 0^{\circ} C$ is (are)
Chemistry · P Block Elements · Multiple correct
Q4.Based on the compounds of group $15$ elements, the correct statement(s) is (are)
Chemistry · P Block Elements · Multiple correct
Q5.Consider an ionic solid $M X$ with $N a C l$ structure. Construct a new structure $(Z)$ whose unit cell is constructed from the unit cell of $M X$ following the sequential instructions given below. Neglect the charge balance. $(i)$ …
Chemistry · Solid State · Numerical
Q6.The ammonia prepared by treating ammonium sulphate with calcium hydroxide is completely used by $N i C l_{2} .6 H_{2} O$ to form a stable coordination compound. Assume that both the reactions are $100%$ complete. If $1584 g$ of ammonium sulphate…
Chemistry · Coordination Compounds · Numerical
Q7.Among the species given below, the total number of diamagnetic species is . $H$ atom, $N O_{2}$ monomer, $O_{2}^{-}$ (superoxide), dimeric sulphur in vapor phase, $M n_{3} O_{4},$ $(N H_{4})_{2} [F e C l_{4}], (N H_{4})_{2} [N i C l_{4}],$ …
Chemistry · D and F Block Elements · Numerical
Q8.For the electrochemical cell, $M g (s) ∣ M g^{2 +} (a q, 1 M) C u^{2 +} (a q, 1 M) ∣ C u (s)$ the standard $e m f$ of the cell is $2.70 V$ at $300 K .$ …
Chemistry · Electrochemistry · Numerical
Q9.The solubility of a salt of weak acid $(A B)$ at $Y \times 1 0^{- 3} m o l L^{- 1} .$ is $Y \times 1 0^{- 3} m o l L^{- 1} .$ The value of $Y$ is . (Given that the value of solubility product of $A B$ $(K_{s p}) = 2 \times 1 0^{- 10}$ …
Chemistry · Ionic Equilibrium · Numerical
Q10.Liquids A and B form ideal solution over the entire range of composition. At temperature $T,$ equimolar binary solution of liquids $A$ and $B$ has vapor pressure $45 T or r .$ At the same temperature, a new solution of $A$ and $B$ having mole…
Chemistry · Solutions · Numerical
Q11.In the following reaction sequence, the correct structure(s) of $X$ is (are) Includes diagram
Chemistry · Alcohols Phenols and Ethers · Multiple correct
Q12.The reaction (s) leading to the formation of $1, 3, 5$ -trimethylbenzene is (are)
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q13.A reversible cyclic process for an ideal gas is shown below. Here, $P, V,$ and $T$ are pressure, volume and temperature, respectively. The thermodynamic parameters $q, w, H$ and $U$ are heat, work, enthalpy and internal energy,… Includes diagram
Chemistry · Thermodynamics · Multiple correct
Q14.The plot given below shows $P - T$ curves (where $P$ is the pressure and $T$ is the temperature) for two solvents $X$ and $Y$ and isomolal solutions of $N a C l$ in these solvents. $N a C l$ completely dissociates in both the solvents. On addition… Includes diagram
Chemistry · Solutions · Numerical
Q15.A closed tank has two compartments $A$ and $B,$ both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure $1.$ ). If the old partition is replaced by a… Includes diagram
Chemistry · Chemical Equilibrium · Numerical
Q16.An organic acid P $(C_{11} H_{12} O_{2})$ can easily be oxidized to a dibasic acid which reacts with ethylene glycol to produce a polymer dacron. Upon ozonolysis, P gives an aliphatic ketone as one of the products. P… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q17.An organic acid P $(C_{11} H_{12} O_{2})$ can easily be oxidized to a dibasic acid which reacts with ethylene glycol to produce a polymer dacron. Upon ozonolysis, P gives an aliphatic ketone as one of the products. P… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q18.Treatment of benzene with $C O / H C l$ in the presence of anhydrous $A l C l_{3} / C u C l$ followed by reaction with $A c_{2} O / N a O A c$ gives compound $X$ as the major product. Compound $X$ upon reaction with $B r_{2} / N a_{2} C O_{3},$ followed by heating…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q19.For a non-zero complex number z, let arg(z) denote the principal argument with $- π$ < arg(z) $\leq π$ . Then, which of the following statement(s) is (are) FALSE?
Mathematics · Complex Numbers · Multiple correct
Q20.In a $Δ$ PQR = 30 $^{\circ}$ and the sides PQ and QR have lengths 10 $3$ and 10, respectively. Then, which of the following statement(s) is(are) TRUE?
Mathematics · Trigonometric Functions and Equations · Multiple correct
Q21.Let P1 : 2x + y $-$ z = 3 and P2 : x + 2y + z = 2 be two planes. Then, which of the following statement(s) is(are) TRUE?
Mathematics · 3D Geometry · Multiple correct
Q22.For every twice differentiable function $f : R \to [- 2, 2]$ with $(f (0))^{2} + (f^{'} (0))^{2} = 85$ , which of the following statement(s) is(are) TRUE?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q23.Let f : R $\to$ R and g : R $\to$ R be two non-constant differentiable functions. If f'(x) = (e(f(x) $-$ g(x))) g'(x) for all x $\in$ R and f(1) = g(2) = 1, then which of the following statement(s) is (are) TRUE?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q24.Let f : [0, $\infty$ ) $\to$ R be a continuous function such that $f (x) = 1 - 2 x + \int_{0}^{x} e^{x - t} f (t) d t$ for all x $\in$ [0, $\infty$ ). Then, which of the following statement(s) is (are) TRUE?
Mathematics · Application of Integration · Multiple correct
Q25.The value of $((lo g_{2} 9)^{2})^{\frac{1}{l o g _{2} ( l o g _{2} 9 )}} \times (7)^{\frac{1}{l o g _{4} 7}}$ is ....................
Mathematics · Limits Continuity and Differentiability · Numerical
Q26.The number of 5 digit numbers which are divisible by 4, with digits from the set {1, 2, 3, 4, 5} and the repetition of digits is allowed, is .................
Mathematics · Permutations and Combinations · Numerical
Q27.Let X be the set consisting of the first 2018 terms of the arithmetic progression 1, 6, 11, ...., and Y be the set consisting of the first 2018 terms of the arithmetic progression 9, 16, 23, .... . Then, the number of elements in the set X…
Mathematics · Sequences and Series · Numerical
Q28.The number of real solutions of the equation $sin^{- 1} (i = 1 \sum \infty x^{i + 1} - x i = 1 \sum \infty (\frac{x}{2})^{i}) = \frac{π}{2} - cos^{1} (i = 1 \sum \infty (\frac{- x}{2})^{i} - i = 1 \sum \infty (- x)^{i})$ …
Mathematics · Inverse Trigonometric Functions · Numerical
Q29.For each positive integer n, let $y_{n} = \frac{1}{n} (n + 1) (n + 2) ... (n + n)^{\frac{1}{n}}$ . For x $\in$ R, let [x] be the greatest integer less than or equal to x. If $n \to \infty lim y_{n} = L$ , then the value…
Mathematics · Application of Derivatives · Numerical
Q30.Let a and b be two unit vectors such that a . b = 0. For some x, y $\in$ R, let $c = x a + y b + a \times b$ . If | $c$ | = 2 and the vector c is…
Mathematics · Vector Algebra · Numerical
Q31.Let a, b, c three non-zero real numbers such that the equation $3 a cos x + 2 b sin x = c, x \in [- \frac{π}{2}, \frac{π}{2}]$ , has two distinct real roots $α$ and $β$ with $\alpha + \beta = {\pi \over…
Mathematics · Quadratic Equation and Inequalities · Numerical
Q32.A farmer F1 has a land in the shape of a triangle with vertices at P(0, 0), Q(1, 1) and R(2, 0). From this land, a neighbouring farmer F2 takes away the region which lies between the sides PQ and a curve of the form y = xn (n > 1). If…
Mathematics · Application of Integration · Numerical
Q33.Let S be the circle in the XY-plane defined the equation x2 + y2 = 4. Let E1E2 and F1F2 be the chords of S passing through the point P0 (1, 1) and parallel to the X-axis and the Y-axis, respectively. Let G1G2 be the chord of S passing…
Mathematics · Circle · MCQ
Q34.Let S be the circle in the XY-plane defined the equation x2 + y2 = 4. Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N. Then, the mid-point…
Mathematics · Ellipse · MCQ
Q35.There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si, i = 1, 2, 3, 4, 5. But, on the examination…
Mathematics · Probability · MCQ
Q36.There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si, i = 1, 2, 3, 4, 5. But, on the examination…
Mathematics · Probability · MCQ
Q37.Two vectors $A$ and $B$ are defined as $A = a i$ and $B = a$ $(cos ω T i + sin ω t j),$ where $a$ is a constant and $ω = π /6 r a d s^{- 1} .$ …
Physics · Rotational Motion · Numerical
Q38.Consider a body of mass $1.0 k g$ at rest at the origin at time $t = 0.$ A force $F = (α t i + β j)$ is applied on the body, where $α = 1.0 N s^{- 1}$ and $β = 1.0 N .$ The…
Physics · Rotational Motion · Multiple correct
Q39.A uniform capillary tube of inner radius $r$ is dipped vertically into a beaker filled with water. The water rises to a height $h$ in the capillary tube above the water surface in the beaker. The surface tension of water is $σ .$ The…
Physics · Properties of Matter · Multiple correct
Q40.Two infinitely long straight wires lie in the $x y$ -plane along the lines $x = \pm R .$ The wire located at $x = + R$ carries a constant current $I_{1}$ and the wire located at $x = - R$ carries a constant current $I_{2} .$ A circular loop of…
Physics · Magnetism · Multiple correct
Q41.Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed $1.0 m s^{- 1}$ and the man behind walks at a speed $2.0 m s^{- 1} .$ A third man in standing at a height $12 m$ above the…
Physics · Waves · Numerical
Q42.A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle $6 0^{\circ}$ with the horizontal. They start to roll without slipping at the same instant of time along the shortest path. If the…
Physics · Rotational Motion · Numerical
Q43.A spring-block system is resting on a frictionless floor as shown in the figure. The spring constant is $2.0 N m^{- 1}$ and the mass of the block is $2.0 k g .$ Ignore the mass of the spring. Initially the spring is an unstretched… Includes diagram
Physics · Work Power and Energy · Numerical
Q44.In the figure below, the switches $S_{1}$ and $S_{2}$ are closed simultaneously at $t = 0$ and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the polarities are as… Includes diagram
Physics · Electromagnetic Induction · Multiple correct
Q45.Three identical capacitors $C_{1}, C_{2}$ and $C_{3}$ have a capacitance of $C_{1}$ each and they are unchanged initially. They are connected in a circuit as shown in the figure and $C_{1}$ is then filled completely with a dielectric… Includes diagram
Physics · Capacitor · Numerical
Q46.One mole of a monatomic ideal gas undergoes a cyclic process as shown in the figure (where $V$ is the volume and $T$ is the temperature). Which of the statements below is (are) true? Includes diagram
Physics · Heat and Thermodynamics · Multiple correct
Q47.Sunlight of intensity $1.3 k W m^{- 2}$ is incident normally on a thin convex lens of focal length $20$ cm. Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal length. The…
Physics · Geometrical Optics · Numerical
Q48.Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures $T_{1} = 300 K$ and $T_{2} = 100 K$ , as shown in the figure. The radius of the bigger cylinder is twice that… Includes diagram
Physics · Properties of Matter · Numerical
Q49.In the $x y$ -plane, the region $y > 0$ has a uniform magnetic field $B_{1} k$ and the region $y < 0$ has another uniform magnetic field $B_{2} k .$ A positively charged particle is projected from the origin along the… Includes diagram
Physics · Magnetism · Numerical
Q50.In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, $[E]$ and $[B]$ stand for…
Physics · Electromagnetic Waves · MCQ
Q51.If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the…
Physics · Units and Measurements · MCQ
Q52.If the measurement errors in all the independent quantities are known, then it is possible to determine the error in any dependent quantity. This is done by the use of series expansion and truncating the expansion at the first power of the…
Physics · Units and Measurements · MCQ
Q53.In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, $[E]$ and $[B]$ stand for…
Physics · Electromagnetic Waves · MCQ
Q54.The potential energy of a particle of mass $m$ at a distance $r$ from a fixed point $O$ is given by $V (r) = k r^{2} /2,$ where $k$ is a positive constant of appropriate dimensions. This particle is moving in a circular orbit…
Physics · Rotational Motion · Multiple correct