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2022 · 29 Jul · Shift 1

76 questions · JEE Main

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2022 · 29 Jul · Shift 1

2022 · 29 Jul · Shift 1

76 questions · JEE Main

Chemistry24 questions Mathematics23 questions Physics29 questions

Chemical Bonding and Molecular StructureChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions D and F Block ElementsChemistry · 3 questions Compounds Containing NitrogenChemistry · 4 questions Haloalkanes and HaloarenesChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions ElectrochemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Sets and RelationsMathematics · 2 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Definite IntegrationMathematics · 2 questions Differential EquationsMathematics · 1 questions EllipseMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Vector AlgebraMathematics · 1 questions Area Under the CurvesMathematics · 1 questions ParabolaMathematics · 1 questions ProbabilityMathematics · 1 questions Application of DerivativesMathematics · 1 questions StatisticsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions CircleMathematics · 1 questions Units and MeasurementsPhysics · 3 questions Motion in A Straight LinePhysics · 2 questions Circular MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Center of MassPhysics · 1 questions Properties of MatterPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions ElectrostaticsPhysics · 2 questions Current ElectricityPhysics · 2 questions Alternating CurrentPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Motion in A PlanePhysics · 1 questions GravitationPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions MagneticsPhysics · 2 questions Wave OpticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electronic DevicesPhysics · 1 questions

Q1.Which of the following pair of molecules contain odd electron molecule and an expanded octet molecule?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2. $N_{2 (g)} + 3 H_{2 (g)} ⇌ 2 NH_{3 (g)}$ $20 g 5 g$ Consider the above reaction, the limiting reagent of the reaction and number of moles…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q3.The first ionization enthalpy of Na, Mg and Si, respectively, are : 496, 737 and $786 kJ mol^{- 1}$ . The first ionization enthalpy ( $kJ mol^{- 1}$ ) of $Al$ is :
Chemistry · Periodic Table and Periodicity · MCQ
Q4.The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives :
Chemistry · D and F Block Elements · MCQ
Q5.Number of lone pairs of electrons in the central atom of $SCl_{2}, O_{3}, ClF_{3}$ and $SF_{6}$ , respectively, are :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.In following pairs, the one in which both transition metal ions are colourless is :
Chemistry · D and F Block Elements · MCQ
Q7.In neutral or faintly alkaline medium, $KMnO_{4}$ being a powerful oxidant can oxidize, thiosulphate almost quantitatively, to sulphate. In this reaction overall change in oxidation state of manganese will be :
Chemistry · D and F Block Elements · MCQ
Q8.Which among the following is the strongest Bronsted base?
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.Which among the following pairs of the structures will give different products on ozonolysis? (Consider the double bonds in the structures are rigid and not delocalized.)
Chemistry · Haloalkanes and Haloarenes · MCQ
Q10.Considering the above reactions, the compound 'A' and compound 'B' respectively are : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.Consider the above reaction sequence, the Product 'C' is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.Consider the above reaction, the compound 'A' is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q13.Which among the following represent reagent 'A'? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.Consider the following reaction sequence: The product 'B' is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.A compound 'X' is acidic and it is soluble in $N a O H$ solution, but insoluble in $N a H C O_{3}$ solution. Compound 'X' also gives violet colour with neutral $F e C l_{3}$ solution. The compound 'X' is :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q16.Resistance of a conductivity cell (cell constant $129 m^{- 1}$ ) filled with $74.5 ppm$ solution of $KCl$ is $100 Ω$ (labelled as solution 1). When the same cell is filled with $KCl$ solution of $149 ppm$ …
Chemistry · Electrochemistry · Numerical
Q17.The minimum uncertainty in the speed of an electron in an one dimensional region of length $2 a_{o}$ (Where $a_{o} =$ Bohr radius $52.9 pm$ ) is $km s^{- 1}$ …
Chemistry · Structure of Atom · Numerical
Q18.When 600 mL of 0.2 M $H N O_{3}$ is mixed with $N a O H$ of 0.1 M $N a O H$ solution in a flask, the rise in temperature of the flask is $\times 1 0^{- 2}^{\circ} C$ . (Enthalpy of neutralisation $= 57 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q19.If $O_{2}$ gas is bubbled through water at $O_{2}$ , the number of millimoles of $O_{2}$ gas that dissolve in 1 litre of water is . (Nearest Integer) (Given : Henry's Law constant for $O_{2}$ …
Chemistry · Solutions · Numerical
Q20.If the solubility product of PbS is 8 $\times$ 10 $-$ 28, then the solubility of PbS in pure water at 298 K is x $\times$ 10 $-$ 16 mol L $-$ 1. The value of x is . (Nearest Integer) [Given : $2$ = 1.41]
Chemistry · Ionic Equilibrium · Numerical
Q21.The reaction between X and Y is first order with respect to X and zero order with respect to Y. Examine the data of table and calculate ratio of numerical values of M and L. (Nearest Integer) Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) $-$ (number of peptide bonds) is .
Chemistry · Biomolecules · Numerical
Q23.In bromination of Propyne, with Bromine, 1, 1, 2, 2-tetrabromopropane is obtained in 27% yield. The amount of 1, 1, 2, 2-tetrabromopropane obtained from 1 g of Bromine in this reaction is $\times$ 10 $-$ 1 g.…
Chemistry · Practical Organic Chemistry · Numerical
Q24. $[Fe (CN)_{6}]^{3 -}$ should be an inner orbital complex. Ignoring the pairing energy, the value of crystal field stabilization energy for this complex is $(-)$ $Δ_{0}$ . (Nearest…
Chemistry · Coordination Compounds · Numerical
Q25.Let R be a relation from the set ${1, 2, 3, \dots, 60}$ to itself such that $R = {(a, b) : b = pq$ , where $p, q ⩾ 3$ are prime numbers}. Then, the number of elements in R is :
Mathematics · Sets and Relations · MCQ
Q26.If $z = 2 + 3 i$ , then $z^{5} + (\overset{z}{ˉ})^{5}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q27.Let A and B be two $3 \times 3$ non-zero real matrices such that AB is a zero matrix. Then
Mathematics · Matrices and Determinants · MCQ
Q28.If $\frac{1}{( 20 - a ) ( 40 - a )} + \frac{1}{( 40 - a ) ( 60 - a )} + \dots + \frac{1}{( 180 - a ) ( 200 - a )} = \frac{1}{256}$ , then the maximum value of $a$ is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q29.If $x \to 0 lim \frac{α e ^{x} + β e ^{- x} + γ s i n x}{x s i n ^{2} x} = \frac{2}{3}$ , where $α, β, γ \in R$ , then which of the following is NOT correct?
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.The integral $0 \int \frac{π}{2} \frac{1}{3 + 2 s i n x + c o s x} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q31.Let the solution curve $y = y (x)$ of the differential equation $(1 + e^{2 x}) (\frac{d y}{d x} + y) = 1$ pass through the point $(0, \frac{π}{2})$ . Then, $x \to \infty lim e^{x} y (x)$ …
Mathematics · Differential Equations · MCQ
Q32.Let a line L pass through the point of intersection of the lines $b x + 10 y - 8 = 0$ and $2 x - 3 y = 0, b \in R - {\frac{4}{3}}$ . If the line $L$ also passes through the point $(1, 1)$ and touches the circle…
Mathematics · Ellipse · MCQ
Q33.Let the circumcentre of a triangle with vertices A(a, 3), B(b, 5) and C(a, b), ab > 0 be P(1,1). If the line AP intersects the line BC at the point Q $(k_{1}, k_{2})$ , then $k_{1} + k_{2}$ is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q34.Let $\overset{a}{^}$ and $\hat{b}$ be two unit vectors such that the angle between them is $\frac{π}{4}$ . If $θ$ is the angle between the vectors $(\overset{a}{^} + \hat{b})$ and $(\overset{a}{^} + 2 \hat{b} + 2 (\overset{a}{^} \times \hat{b}))$ , then the value of $164 cos^{2} θ$ …
Mathematics · Vector Algebra · MCQ
Q35.If $f (α) = 1 \int α \frac{l o g _{10} t}{1 + t} dt, α > 0$ , then $f (e^{3}) + f (e^{- 3})$ is equal to :
Mathematics · Definite Integration · MCQ
Q36.The area of the region ${(x, y) : ∣ x - 1∣ \leq y \leq 5 - x^{2}}$ is equal to :
Mathematics · Area Under the Curves · MCQ
Q37.Let the focal chord of the parabola $P : y^{2} = 4 x$ along the line $L : y = m x + c, m > 0$ meet the parabola at the points M and N. Let the line L be a tangent to the hyperbola $H : x^{2} - y^{2} = 4$ …
Mathematics · Parabola · MCQ
Q38.The number of points, where the function $f : R \to R$ , $f (x) = ∣ x - 1∣ cos ∣ x - 2∣ sin ∣ x - 1∣ + (x - 3) x^{2} - 5 x + 4$ , is NOT differentiable, is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q39.Let $S = {1, 2, 3, \dots, 2022}$ . Then the probability, that a randomly chosen number n from the set S such that $HCF (n, 2022) = 1$ , is :
Mathematics · Probability · MCQ
Q40.Let $f (x) = 3^{(x^{2} - 2)^{3} + 4}, x \in R$ . Then which of the following statements are true? $P : x = 0$ is a point of local minima of $f Q : x = 2$ is a point of inflection of $f R : f^{'}$ is…
Mathematics · Application of Derivatives · MCQ
Q41.Let the mean and the variance of 20 observations $x_{1}, x_{2}, \dots, x_{20}$ be 15 and 9 , respectively. For $α \in R$ , if the mean of $(x_{1} + α)^{2}, (x_{2} + α)^{2}, \dots, (x_{20} + α)^{2}$ …
Mathematics · Statistics · Numerical
Q42.Let $a_{1}, a_{2}, a_{3}, \dots$ be an A.P. If $r = 1 \sum \infty \frac{a _{r}}{2 ^{r}} = 4$ , then $4 a_{2}$ is equal to .
Mathematics · Sequences and Series · Numerical
Q43.Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of $(42 + \frac{1}{4 3})^{n}$ , in the increasing powers of $\frac{1}{4 3}$ be $46 : 1$ …
Mathematics · Binomial Theorem · Numerical
Q44.The number of matrices of order $3 \times 3$ , whose entries are either 0 or 1 and the sum of all the entries is a prime number, is .
Mathematics · Permutations and Combinations · Numerical
Q45.Let p and p + 2 be prime numbers and let $Δ = p! (p + 1)! (p + 2)! (p + 1)! (p + 2)! (p + 3)! (p + 2)! (p + 3)! (p + 4)!$ …
Mathematics · Matrices and Determinants · Numerical
Q46.Let $S = {4, 6, 9}$ and $T = {9, 10, 11, \dots, 1000}$ . If $A = {a_{1} + a_{2} + \dots + a_{k} : k \in N, a_{1}, a_{2}, a_{3}, \dots, a_{k}$ $ϵ S}$ , then the sum of all the elements in the set $T - A$ is equal to …
Mathematics · Sets and Relations · Numerical
Q47.Let the mirror image of a circle $c_{1} : x^{2} + y^{2} - 2 x - 6 y + α = 0$ in line $y = x + 1$ be $c_{2} : 5 x^{2} + 5 y^{2} + 10 g x + 10 f y + 38 = 0$ . If $r$ is the radius of circle $c_{2}$ , then $α + 6 r^{2}$ is equal to …
Mathematics · Circle · Numerical
Q48.Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is $ρ$ and…
Physics · Units and Measurements · MCQ
Q49.A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the times in which it is at height $\frac{h}{3}$ while going up and coming down respectively.
Physics · Motion in A Straight Line · MCQ
Q50.If $t = x + 4$ , then $(\frac{d x}{d t})_{t = 4}$ is :
Physics · Motion in A Straight Line · MCQ
Q51.A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the following curve represents the correct relation between the normal reaction on the block by the… Includes diagram
Physics · Circular Motion · MCQ
Q52.A ball is projected with kinetic energy E, at an angle of $6 0^{\circ}$ to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :
Physics · Work Power and Energy · MCQ
Q53.Two bodies of mass $3 kg$ and $\hat{i} + 2 \hat{j} + \hat{k}$ have position vectors $\hat{i} + 2 \hat{j} + \hat{k}$ and $- 3 \hat{i} - 2 \hat{j} + \hat{k}$ respectively. The magnitude of position vector of centre of mass of this system will be similar…
Physics · Center of Mass · MCQ
Q54.Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Clothes containing oil or grease stains cannot be cleaned by water wash. Reason (R): Because the angle of contact…
Physics · Properties of Matter · MCQ
Q55.If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will :
Physics · Properties of Matter · MCQ
Q56.The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination $α$ , is given by :
Physics · Simple Harmonic Motion · MCQ
Q57.A spherically symmetric charge distribution is considered with charge density varying as $ρ (r) = {ρ_{0} (\frac{3}{4} - \frac{r}{R}) zero for r \leq R for r > R$ … Includes diagram
Physics · Electrostatics · MCQ
Q58.Given below are two statements. Statement I : Electric potential is constant within and at the surface of each conductor. Statement II : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at…
Physics · Electrostatics · MCQ
Q59.Two metallic wires of identical dimensions are connected in series. If $σ_{1}$ and $σ_{2}$ are the conductivities of the these wires respectively, the effective conductivity of the combination is :
Physics · Current Electricity · MCQ
Q60.An alternating emf $E = 440 sin 100 π t$ is applied to a circuit containing an inductance of $\frac{2}{π} H$ . If an a.c. ammeter is connected in the circuit, its reading will be :
Physics · Alternating Current · MCQ
Q61.A coil of inductance 1 H and resistance $100 Ω$ is connected to a battery of 6 V. Determine approximately : (a) The time elapsed before the current acquires half of its steady - state value. (b) The energy stored in the magnetic…
Physics · Alternating Current · MCQ
Q62.Match List - I with List - II : Choose the correct answer from the options given below : Includes table
Physics · Electromagnetic Waves · MCQ
Q63.The kinetic energy of emitted electron is E when the light incident on the metal has wavelength $λ$ . To double the kinetic energy, the incident light must have wavelength:
Physics · Dual Nature of Radiation · MCQ
Q64.Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) second permitted energy level to the first level, and (ii) the highest permitted energy level to the first permitted level.
Physics · Atoms and Nuclei · MCQ
Q65.A travelling microscope has 20 divisions per $cm$ on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling…
Physics · Units and Measurements · MCQ
Q66.In an experiment to find out the diameter of wire using screw gauge, the following observations were noted : (A) Screw moves $= 50$ on main scale in one complete rotation (B) Total divisions on circular scale $= 50$ (C) Main… Includes diagram
Physics · Units and Measurements · MCQ
Q67.An object is projected in the air with initial velocity u at an angle $θ$ . The projectile motion is such that the horizontal range R, is maximum. Another object is projected in the air with a horizontal range half of the range of…
Physics · Motion in A Plane · Numerical
Q68.If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that of the acceleration due to gravity at a depth $α h (h << R_{e})$ from the…
Physics · Gravitation · Numerical
Q69.The pressure $P_{1}$ and density $d_{1}$ of diatomic gas $(γ = \frac{7}{5})$ changes suddenly to $P_{2} (> P_{1})$ and $d_{2}$ respectively during an adiabatic…
Physics · Heat and Thermodynamics · Numerical
Q70.One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is $\frac{α ^{2}}{4} R J / mol K$ ; then the value of $α$ …
Physics · Heat and Thermodynamics · Numerical
Q71.The current I flowing through the given circuit will be A. Includes diagram
Physics · Current Electricity · Numerical
Q72.A closely wounded circular coil of radius 5 cm produces a magnetic field of $37.68 \times 1 0^{- 4} T$ at its center. The current through the coil is A. [Given, number of turns in the coil is 100 and $π = 3.14$ …
Physics · Magnetics · Numerical
Q73.Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point B is $π$ . The difference of resultant intensities, at the point A and B, will be …
Physics · Wave Optics · Numerical
Q74.A wire of length $14 A$ carrying current of is bent to form a circle. The magnetic moment of the coil is A $- m^{2}$ . [Given $π = 3.14$ ]
Physics · Magnetics · Numerical
Q75.The X-Y plane be taken as the boundary between two transparent media $M_{1}$ and $M_{2}$ . $M_{1}$ in $Z ⩾ 0$ has a refractive index of $2$ and $M_{2}$ with $Z < 0$ has a refractive index of $3$ …
Physics · Geometrical Optics · Numerical
Q76.If the potential barrier across a p-n junction is $6 \times 1 0^{- 6} m$ . Then the electric field intensity, in the depletion region having the width of $6 \times 1 0^{- 6} m$ , will be $\times 1 0^{5} N / C$ …
Physics · Electronic Devices · Numerical