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2022 · Shift 1

54 questions · JEE Advanced

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2022 · Shift 1

2022 · Shift 1

54 questions · JEE Advanced

Chemistry18 questions Mathematics18 questions Physics18 questions

ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions P Block ElementsChemistry · 1 questions Practical Organic ChemistryChemistry · 2 questions HydrocarbonsChemistry · 1 questions Structure of AtomChemistry · 1 questions Surface ChemistryChemistry · 1 questions Isolation of ElementsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions HydrogenChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 2 questions Complex NumbersMathematics · 2 questions Sequences and SeriesMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions CircleMathematics · 1 questions Definite IntegrationMathematics · 1 questions 3D GeometryMathematics · 2 questions ParabolaMathematics · 1 questions FunctionsMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions EllipseMathematics · 1 questions GravitationPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Current ElectricityPhysics · 2 questions Geometrical OpticsPhysics · 3 questions Rotational MotionPhysics · 3 questions Electromagnetic InductionPhysics · 1 questions MotionPhysics · 1 questions CapacitorPhysics · 1 questions Properties of MatterPhysics · 1 questions ElectrostaticsPhysics · 1 questions MagnetismPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions

Q1. $2 mol of Hg (g)$ is combusted in a fixed volume bomb calorimeter with excess of $O_{2}$ at $298 K$ and 1 atm into $HgO (s)$ . During the reaction, temperature increases…
Chemistry · Thermodynamics · Numerical
Q2.The reduction potential $(E^{0}$ , in $V)$ of $MnO_{4}^{-} (aq) / Mn (s)$ is . [Given: $E_{(MnO_{4}^{-} (aq) / MnO_{2} (s))}^{0} = 1.68 V; E_{(MnO_{2} (s) / Mn^{2 +} (aq))}^{0} = 1.21 V; E_{(Mn^{2 +} (aq) / Mn (s))}^{0} = - 1.03 V$ …
Chemistry · Electrochemistry · Numerical
Q3.A solution is prepared by mixing $0.01 mol$ each of $H_{2} CO_{3}, NaHCO_{3}, Na_{2} CO_{3}$ , and $NaOH$ in $100 mL$ of water. $p H$ of the resulting…
Chemistry · Ionic Equilibrium · Numerical
Q4.The treatment of an aqueous solution of $3.74 g$ of $Cu (NO_{3})_{2}$ with excess KI results in a brown solution along with the formation of a precipitate. Passing $H_{2} S$ through…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q5.Dissolving $1.24 g$ of white phosphorous in boiling $NaOH$ solution in an inert atmosphere gives a gas $Q$ . The amount of $CuSO_{4}$ (in g) required to completely consume the gas $Q$ is …
Chemistry · P Block Elements · Numerical
Q6.Consider the following reaction. On estimation of bromine in $1.00 g$ of $R$ using Carius method, the amount of $AgBr$ formed (in $g$ ) is . [Given: Atomic mass of $H = 1, C = 12, O = 16, P = 31, Br = 80, Ag = 108]$ … Includes diagram
Chemistry · Practical Organic Chemistry · Numerical
Q7.The weight percentage of hydrogen in $Q$ , formed in the following reaction sequence, is . [Given: Atomic mass of $\mathrm{H}=1, \mathrm{C}=12, \mathrm{~N}=14, \mathrm{O}=16, \mathrm{~S}=32,… Includes diagram
Chemistry · Practical Organic Chemistry · Numerical
Q8.If the reaction sequence given below is carried out with 15 moles of acetylene, the amount of the product $D$ formed (in $g$ ) is . The yields of $A, B, C$ and $D$ … Includes diagram
Chemistry · Hydrocarbons · Numerical
Q9.For diatomic molecules, the correct statement(s) about the molecular orbitals formed by the overlap of two $2 p_{z}$ orbitals is(are)
Chemistry · Structure of Atom · Multiple correct
Q10.The correct option(s) related to adsorption processes is(are)
Chemistry · Surface Chemistry · Multiple correct
Q11.The electrochemical extraction of aluminum from bauxite ore involves
Chemistry · Isolation of Elements · Multiple correct
Q12.The treatment of galena with $HNO_{3}$ produces a gas that is
Chemistry · D and F Block Elements · Multiple correct
Q13.Considering the reaction sequence given below, the correct statement(s) is(are) Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Multiple correct
Q14.Considering the following reaction sequence, the correct option(s) is(are) Includes diagram
Chemistry · Compounds Containing Nitrogen · Multiple correct
Q15.Match the rate expressions in LIST-I for the decomposition of $X$ with the corresponding profiles provided in LIST-II. $X_{s}$ and $k$ are constants having appropriate units. Includes table Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q16.LIST-I contains compounds and LIST-II contains reactions Match each compound in LIST-I with its formation reaction(s) in LIST-II, and choose the correct option Includes table
Chemistry · Hydrogen · MCQ
Q17.LIST-I contains metal species and LIST-II contains their properties. [Given: Atomic number of $Cr = 24, Ru = 44, Fe = 26$ ] Match each metal species in LIST-I with their properties in LIST-II, and choose the correct… Includes table
Chemistry · Coordination Compounds · MCQ
Q18.Match the compounds in LIST-I with the observations in LIST-II, and choose the correct option. Includes table
Chemistry · Compounds Containing Nitrogen · MCQ
Q19.Considering only the principal values of the inverse trigonometric functions, the value of $\frac{3}{2} cos^{- 1} \frac{2}{2 + π ^{2}} + \frac{1}{4} sin^{- 1} \frac{2 2 π}{2 + π ^{2}} + tan^{- 1} \frac{2}{π}$ is
Mathematics · Inverse Trigonometric Functions · Numerical
Q20.Let $α$ be a positive real number. Let $f : R \to R$ and $g : (α, \infty) \to R$ be the functions defined by $f (x) = sin (\frac{π x}{12}) and g (x) = \frac{2 l o g _{e} ( x - α )}{l o g _{e} ( e ^{x} - e ^{α} )} .$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q21.In a study about a pandemic, data of 900 persons was collected. It was found that 190 persons had symptom of fever, 220 persons had symptom of cough, 220 persons had symptom of breathing problem, 330 persons had symptom of fever or cough…
Mathematics · Probability · Numerical
Q22.Let $z$ be a complex number with a non-zero imaginary part. If $\frac{2 + 3 z + 4 z ^{2}}{2 - 3 z + 4 z ^{2}}$ is a real number, then the value of $∣ z ∣^{2}$ is .
Mathematics · Complex Numbers · Numerical
Q23.Let $\overset{z}{ˉ}$ denote the complex conjugate of a complex number $z$ and let $i = - 1$ . In the set of complex numbers, the number of distinct roots of the equation $\overset{z}{ˉ} - z^{2} = i (\overset{z}{ˉ} + z^{2})$ is …
Mathematics · Complex Numbers · Numerical
Q24.Let $l_{1}, l_{2}, \dots, l_{100}$ be consecutive terms of an arithmetic progression with common difference $d_{1}$ , and let $w_{1}, w_{2}, \dots, w_{100}$ be consecutive terms of another arithmetic progression with common difference $d_{2}$ …
Mathematics · Sequences and Series · Numerical
Q25.The number of 4-digit integers in the closed interval [2022, 4482] formed by using the digits $0, 2, 3, 4, 6, 7$ is .
Mathematics · Permutations and Combinations · Numerical
Q26.Let $A B C$ be the triangle with $A B = 1, A C = 3$ and $∠ B A C = \frac{π}{2}$ . If a circle of radius $r > 0$ touches the sides $A B, A C$ and also touches internally the circumcircle of the triangle $A B C$ , then the value of $r$ is …
Mathematics · Circle · Numerical
Q27.Consider the equation $\int_{1}^{e} \frac{( l o g _{e} x ) ^{1/2}}{x ( a - ( l o g _{e} x ) ^{3/2} ) ^{2}} d x = 1, a \in (- \infty, 0) \cup (1, \infty)$ Which of the following statements is/are…
Mathematics · Definite Integration · Multiple correct
Q28.Let $a_{1}, a_{2}, a_{3}, \dots$ be an arithmetic progression with $a_{1} = 7$ and common difference 8. Let $T_{1}, T_{2}, T_{3}, \dots$ be such that $T_{1} = 3$ and $T_{n + 1} - T_{n} = a_{n}$ for $n \geq 1$ . Then, which of the following is/are…
Mathematics · Sequences and Series · Multiple correct
Q29.Let $P_{1}$ and $P_{2}$ be two planes given by $P_{1} : 10 x + 15 y + 12 z - 60 = 0 P_{2} : - 2 x + 5 y + 4 z - 20 = 0$ Which of the following straight lines can be an edge of some tetrahedron whose two faces lie…
Mathematics · 3D Geometry · Multiple correct
Q30.Let $S$ be the reflection of a point $Q$ with respect to the plane given by $r = - (t + p) \overset{}{^} + t \overset{}{^} + (1 + p) \hat{k}$ where $t, p$ are real parameters and $\overset{}{^}, \overset{}{^}, \hat{k}$ are the unit vectors along…
Mathematics · 3D Geometry · Multiple correct
Q31.Consider the parabola $y^{2} = 4 x$ . Let $S$ be the focus of the parabola. A pair of tangents drawn to the parabola from the point $P = (- 2, 1)$ meet the parabola at $P_{1}$ and $P_{2}$ . Let $Q_{1}$ and $Q_{2}$ be points on the lines $S P_{1}$ …
Mathematics · Parabola · Multiple correct
Q32.Let $∣ M ∣$ denote the determinant of a square matrix $M$ . Let $g : [0, \frac{π}{2}] \to R$ be the function defined by $g (θ) = f (θ) - 1 + f (\frac{π}{2} - θ) - 1$ where $f (θ) = \frac{1}{2} 1 - sin θ - 1 sin θ 1 - sin θ 1 sin θ 1 + sin π sin (θ - \frac{π}{4}) cot (θ + \frac{π}{4}) cos (θ + \frac{π}{4}) - cos \frac{π}{2} lo g_{e} (\frac{π}{4}) tan (θ - \frac{π}{4}) lo g_{e} (\frac{4}{π}) tan π .$ …
Mathematics · Functions · Multiple correct
Q33.Consider the following lists : The correct option is: Includes table
Mathematics · Trigonometric Functions and Equations · MCQ
Q34.Two players, $P_{1}$ and $P_{2}$ , play a game against each other. In every round of the game, each player rolls a fair die once, where the six faces of the die have six distinct numbers. Let $x$ and $y$ denote the readings on the die… Includes table
Mathematics · Probability · MCQ
Q35.Let $p, q, r$ be nonzero real numbers that are, respectively, the $1 0^{th}, 10 0^{th}$ and $100 0^{th}$ terms of a harmonic progression. Consider the system of linear equations $x + y + z = 1 10 x + 100 y + 1000 z = 0 q r x + p r y + pq z = 0$ … Includes table
Mathematics · Matrices and Determinants · MCQ
Q36.Consider the ellipse $\frac{x ^{2}}{4} + \frac{y ^{2}}{3} = 1$ Let $H (α, 0), 0 < α < 2$ , be a point. A straight line drawn through $H$ parallel to the $y$ -axis crosses the ellipse and its auxiliary circle at points $E$ and $F$ … Includes table
Mathematics · Ellipse · MCQ
Q37.Two spherical stars $A$ and $B$ have densities $ρ_{A}$ and $ρ_{B}$ , respectively. $A$ and $B$ have the same radius, and their masses $M_{A}$ and $M_{B}$ are related by $M_{B} = 2 M_{A}$ . Due to an interaction process, star $A$ loses…
Physics · Gravitation · Numerical
Q38.The minimum kinetic energy needed by an alpha particle to cause the nuclear reaction $_{7}^{16} N +_{2}^{4} He \to_{1}^{1} H +_{8}^{19} O$ in a laboratory frame is $n$ (in $M e V$ .…
Physics · Atoms and Nuclei · Numerical
Q39.In the following circuit $C_{1} = 12 μ F, C_{2} = C_{3} = 4 μ F$ and $C_{4} = C_{5} = 2 μ F$ . The charge stored in $C_{3}$ is $μ C$ . Includes diagram
Physics · Current Electricity · Numerical
Q40.A rod of length $2 cm$ makes an angle $\frac{2 π}{3} rad$ with the principal axis of a thin convex lens. The lens has a focal length of $10 cm$ and is placed at a distance of $\frac{40}{3} cm$ from… Includes diagram
Physics · Geometrical Optics · Numerical
Q41.At time $t = 0$ , a disk of radius $1 m$ starts to roll without slipping on a horizontal plane with an angular acceleration of $α = \frac{2}{3} rad s^{- 2}$ . A small stone is stuck to the disk. At $t = 0$ , it is…
Physics · Rotational Motion · Numerical
Q42.A solid sphere of mass $1 kg$ and radius $1 m$ rolls without slipping on a fixed inclined plane with an angle of inclination $θ = 3 0^{\circ}$ from the horizontal. Two forces of magnitude $1 N$ each,… Includes diagram
Physics · Rotational Motion · Numerical
Q43.Consider an LC circuit, with inductance $L = 0.1 H$ and capacitance $C = 1 0^{- 3} F$ , kept on a plane. The area of the circuit is $1 m^{2}$ . It is placed in a constant magnetic field of strength $B_{0}$ which is…
Physics · Electromagnetic Induction · Numerical
Q44.A projectile is fired from horizontal ground with speed $v$ and projection angle $θ$ . When the acceleration due to gravity is $g$ , the range of the projectile is $d$ . If at the highest point in its trajectory, the projectile enters a…
Physics · Motion · Numerical
Q45.A medium having dielectric constant $K > 1$ fills the space between the plates of a parallel plate capacitor. The plates have large area, and the distance between them is $d$ . The capacitor is connected to a battery of voltage $V$ , as… Includes diagram
Physics · Capacitor · Multiple correct
Q46.The figure shows a circuit having eight resistances of $1Ω$ each, labelled $R_{1}$ to $R_{8}$ , and two ideal batteries with voltages $ε_{1} = 12 V$ and $ε_{2} = 6 V$ . Which of the following… Includes diagram
Physics · Current Electricity · Multiple correct
Q47.An ideal gas of density $ρ = 0.2 kg m^{- 3}$ enters a chimney of height $h$ at the rate of $α = 0.8 kg s^{- 1}$ from its lower end, and escapes through the upper end as shown in the figure. The… Includes diagram
Physics · Properties of Matter · Multiple correct
Q48.Three plane mirrors form an equilateral triangle with each side of length $L$ . There is a small hole at a distance $l > 0$ from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle $θ$ and… Includes diagram
Physics · Geometrical Optics · Multiple correct
Q49.Six charges are placed around a regular hexagon of side length $a$ as shown in the figure. Five of them have charge $q$ , and the remaining one has charge $x$ . The perpendicular from each charge to the nearest hexagon side passes through… Includes diagram
Physics · Electrostatics · Multiple correct
Q50.The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be $E_{b}^{p}$ and the binding energy…
Physics · Atoms and Nuclei · Multiple correct
Q51.A small circular loop of area $A$ and resistance $R$ is fixed on a horizontal $x y$ -plane with the center of the loop always on the axis $\overset{n}{^}$ of a long solenoid. The solenoid has $m$ turns per unit length and carries current $I$ … Includes table Includes diagram
Physics · Magnetism · MCQ
Q52.List I describes four systems, each with two particles $A$ and $B$ in relative motion as shown in figures. List II gives possible magnitudes of their relative velocities (in $m s^{- 1}$ ) at time $t = \frac{π}{3} s$ . Which one of the… Includes table Includes diagram
Physics · Rotational Motion · MCQ
Q53.List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process. Which one of the… Includes table
Physics · Heat and Thermodynamics · MCQ
Q54.List I contains four combinations of two lenses (1 and 2) whose focal lengths (in $cm$ ) are indicated in the figures. In all cases, the object is placed $20 cm$ from the first lens on the left, and the distance between… Includes table Includes diagram
Physics · Geometrical Optics · MCQ