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2022 · 26 Jun · Shift 2

72 questions · JEE Main

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2022 · 26 Jun · Shift 2

2022 · 26 Jun · Shift 2

72 questions · JEE Main

Chemistry24 questions Mathematics22 questions Physics26 questions

Structure of AtomChemistry · 1 questions BiomoleculesChemistry · 2 questions P Block ElementsChemistry · 2 questions Redox ReactionsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions HydrocarbonsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions FunctionsMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Application of DerivativesMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Differential EquationsMathematics · 2 questions EllipseMathematics · 1 questions 3D GeometryMathematics · 1 questions StatisticsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions DifferentiationMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Definite IntegrationMathematics · 1 questions ProbabilityMathematics · 1 questions Units and MeasurementsPhysics · 2 questions Laws of MotionPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 2 questions ElectrostaticsPhysics · 1 questions Current ElectricityPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Center of MassPhysics · 1 questions WavesPhysics · 1 questions MagneticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions

Q1.The number of radial and angular nodes in 4d orbital are, respectively
Chemistry · Structure of Atom · MCQ
Q2.Match List-I with List-II Choose the most appropriate answer from the options given below : Includes table
Chemistry · Biomolecules · MCQ
Q3.Which of the following elements is considered as a metalloid?
Chemistry · P Block Elements · MCQ
Q4.The oxide which contains an odd electron at the nitrogen atom is :
Chemistry · P Block Elements · MCQ
Q5.Which one of the following is an example of disproportionation reaction ?
Chemistry · Redox Reactions · MCQ
Q6.The most common oxidation state of Lanthanoid elements is +3. Which of the following is likely to deviate easily from +3 oxidation state?
Chemistry · D and F Block Elements · MCQ
Q7.The correct order of nucleophilicity is
Chemistry · Basics of Organic Chemistry · MCQ
Q8.Oxidation of toluene to benzaldehyde can be easily carried out with which of the following reagents?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.The major product in the following reaction Includes diagram
Chemistry · Hydrocarbons · MCQ
Q10.Halogenation of which one of the following will yield m-substituted product with respect to methyl group as a major product?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.The final product 'A' in the following reaction sequence Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.Which statement is NOT correct for p-toluenesulphonyl chloride?
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.The final product 'C' in the following series of reactions Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.Which one of the following is a water soluble vitamin, that is not excreted easily?
Chemistry · Biomolecules · MCQ
Q16. $C N G$ is an important transportation fuel. When 100 g $C N G$ is mixed with 208 g $o x y g e n$ in vehicles, it leads to the formation of $C O_{2}$ and $H_{2} O$ and produces large quantity of heat during this combustion, then the amount of carbon…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.Amongst $S F_{4}$ , $X e F_{4}$ , $C F_{4}$ and $H_{2} O$ , the number of species with two lone pairs of electrons is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q18.A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it is subjected to cooking at 100 $^{\circ}$ C, then the internal energy for vaporization in kJ mol $-$ 1 is …
Chemistry · Thermodynamics · Numerical
Q19.The osmotic pressure exerted by a solution prepared by dissolving 2.0 g of protein of molar mass 60 kg mol $-$ 1 in 200 mL of water at 27 $^{\circ}$ C is Pa. [integer value] (use R = 0.083 L bar mol $-$ 1 K $-$ 1)
Chemistry · Solutions · Numerical
Q20.40% of $H I$ undergoes decomposition to $H_{2}$ and $I_{2}$ at 300 K. $Δ$ G $^{Θ}$ for this decomposition reaction at one atmosphere pressure is J mol $-$ 1. [nearest integer] (Use R = 8.31 J K $-$ 1 mol $-$ 1…
Chemistry · Chemical Equilibrium · Numerical
Q21. $C u$ (s) + $S n^{2 +}$ (0.001M) $\to$ $C u^{2 +}$ (0.01M) + $S n$ (s) The Gibbs free energy change for the above reaction at 298 K is x $\times$ 10 $-$ 1 kJ mol $-$ 1. The value of x is . [nearest integer] [Given : $E_{C u^{2 +} / C u}^{Θ} = 0.34 V$ …
Chemistry · Electrochemistry · Numerical
Q22.Catalyst A reduces the activation energy for a reaction by 10 kJ mol $-$ 1 at 300 K. The ratio of rate constants, $\frac{^{k} T , C a t a l y se d}{^{k} T , U n c a t a l y se d}$ is ex. The value of x is . [nearest integer]…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.Reaction of $[C o (H_{2} O)_{6}]^{2 +}$ with excess ammonia and in the presence of $o x y g e n$ results into a diamagnetic product. Number of electrons present in t2g-orbitals of the product is .
Chemistry · Coordination Compounds · Numerical
Q24.The moles of methane required to produce 81 g of water after complete combustion is $\times$ 10 $-$ 2 mol. [nearest integer]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q25.Let f : R $\to$ R be defined as f (x) = x $-$ 1 and g : R $-$ {1, $-$ 1} $\to$ R be defined as $g (x) = \frac{x ^{2}}{x ^{2} - 1}$ . Then the function fog is :
Mathematics · Functions · MCQ
Q26.If the system of equations $α$ x + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z = $β$ has infinitely many solutions, then the ordered pair ( $α$ , $β$ ) is equal to :
Mathematics · Matrices and Determinants · MCQ
Q27. $x \to 0 lim \frac{c o s ( s i n x ) - c o s x}{x ^{4}}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q28.Let f(x) = min {1, 1 + x sin x}, 0 $\leq$ x $\leq$ 2 $π$ . If m is the number of points, where f is not differentiable and n is the number of points, where f is not continuous, then the ordered pair (m, n) is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q29.Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x : r, for which the sum of their volumes is maximum, is :
Mathematics · Application of Derivatives · MCQ
Q30.The area of the region bounded by y2 = 8x and y2 = 16(3 $-$ x) is equal to:
Mathematics · Area Under the Curves · MCQ
Q31.If $\int \frac{1}{x} \frac{1 - x}{1 + x} d x = g (x) + c$ , $g (1) = 0$ , then $g (\frac{1}{2})$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q32.If $y = y (x)$ is the solution of the differential equation $x \frac{d y}{d x} + 2 y = x e^{x}$ , $y (1) = 0$ then the local maximum value of the function $z (x) = x^{2} y (x) - e^{x}, x \in R$ is :
Mathematics · Differential Equations · MCQ
Q33.If the solution of the differential equation $\frac{d y}{d x} + e^{x} (x^{2} - 2) y = (x^{2} - 2 x) (x^{2} - 2) e^{2 x}$ satisfies $y (0) = 0$ , then the value of y(2) is…
Mathematics · Differential Equations · MCQ
Q34.The locus of the mid point of the line segment joining the point (4, 3) and the points on the ellipse $x^{2} + 2 y^{2} = 4$ is an ellipse with eccentricity :
Mathematics · Ellipse · MCQ
Q35.Let $a = i + j + 2 k$ , $b = 2 i - 3 j + k$ and $c = i - j + k$ be three given vectors. Let $v$ …
Mathematics · 3D Geometry · MCQ
Q36.The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observation was taken such that the sum of correct and incorrect observations is 70. If the correct mean is 16, then the correct…
Mathematics · Statistics · MCQ
Q37. $16 sin (2 0^{\circ}) sin (4 0^{\circ}) sin (8 0^{\circ})$ is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q38.If the inverse trigonometric functions take principal values then $cos^{- 1} (\frac{3}{10} cos (tan^{- 1} (\frac{4}{3})) + \frac{2}{5} sin (tan^{- 1} (\frac{4}{3})))$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q39.Let f : R $\to$ R satisfy $f (x + y) = 2^{x} f (y) + 4^{y} f (x)$ , $\forall$ x, y $\in$ R. If f(2) = 3, then $14. \frac{f ^{'} ( 4 )}{f ^{'} ( 2 )}$ is equal to .
Mathematics · Differentiation · Numerical
Q40.Let p and q be two real numbers such that p + q = 3 and p4 + q4 = 369. Then $(\frac{1}{p} + \frac{1}{q})^{- 2}$ is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q41.If $z^{2} + z + 1 = 0$ , $z \in C$ , then $n = 1 \sum 15 (z^{n} + (- 1)^{n} \frac{1}{z ^{n}})^{2}$ is equal to .
Mathematics · Complex Numbers · Numerical
Q42.Let $X = 000100010, Y = α I + β X + γ X^{2}$ and $$Z = {\alpha ^2}I - \alpha \beta X + ({\beta ^2} - \alpha \gamma…
Mathematics · Matrices and Determinants · Numerical
Q43.The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is .
Mathematics · Permutations and Combinations · Numerical
Q44.If a1 (> 0), a2, a3, a4, a5 are in a G.P., a2 + a4 = 2a3 + 1 and 3a2 + a3 = 2a4, then a2 + a4 + 2a5 is equal to .
Mathematics · Sequences and Series · Numerical
Q45.The integral $\frac{24}{π} \int_{0}^{2} \frac{( 2 - x ^{2} ) d x}{( 2 + x ^{2} ) 4 + x ^{4}}$ is equal to .
Mathematics · Definite Integration · Numerical
Q46.If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is p, then 96 p is equal to .
Mathematics · Probability · Numerical
Q47.The dimension of mutual inductance is :
Physics · Units and Measurements · MCQ
Q48.In the arrangement shown in figure a1, a2, a3 and a4 are the accelerations of masses m1, m2, m3 and m4 respectively. Which of the following relation is true for this arrangement? Includes diagram
Physics · Laws of Motion · MCQ
Q49.Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding to figure a, b, c and d respectively. Includes diagram
Physics · Work Power and Energy · MCQ
Q50.A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is
Physics · Rotational Motion · MCQ
Q51.Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : If we move from poles to equator, the direction of acceleration due to gravity of earth always points towards the center…
Physics · Gravitation · MCQ
Q52.If p is the density and $η$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is :
Physics · Properties of Matter · MCQ
Q53.A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept at 27 $^{\circ}$ C. The ratio of their average kinetic energy per molecule respectively will be :
Physics · Heat and Thermodynamics · MCQ
Q54.The charge on capacitor of capacitance 15 $μ$ F in the figure given below is : Includes diagram
Physics · Capacitor · MCQ
Q55.A parallel plate capacitor with plate area A and plate separation d = 2 m has a capacitance of 4 $μ$ F. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant K = 3… Includes diagram
Physics · Capacitor · MCQ
Q56.Sixty four conducting drops each of radius 0.02 m and each carrying a charge of 5 $μ$ C are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be :
Physics · Electrostatics · MCQ
Q57.The equivalent resistance between points A and B in the given network is : Includes diagram
Physics · Current Electricity · MCQ
Q58.A bar magnet having a magnetic moment of 2.0 $\times$ 105 JT $-$ 1, is placed along the direction of uniform magnetic field of magnitude B = 14 $\times$ 10 $-$ 5 T. The work done in rotating the magnet slowly through 60 $^{\circ}$ from the…
Physics · Magnetic Properties of Matter · MCQ
Q59.Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. The equivalent self inductance of the combination will be : Includes diagram
Physics · Electromagnetic Induction · MCQ
Q60.A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5 rad s $-$ 1. If the horizontal component of earth's magnetic field is 0.2 $\times$ 10 $-$ 4 T, then…
Physics · Electromagnetic Induction · MCQ
Q61.Which is the correct ascending order of wavelengths?
Physics · Electromagnetic Waves · MCQ
Q62.For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is 670.7 nm. The value of v is :
Physics · Wave Optics · MCQ
Q63.A metal surface is illuminated by a radiation of wavelength 4500 $A o$ . The ejected photo-electron enters a constant magnetic field of 2 mT making an angle of 90 $^{\circ}$ with the magnetic field. If it starts revolving in a…
Physics · Dual Nature of Radiation · MCQ
Q64.A ball is projected vertically upward with an initial velocity of 50 ms $-$ 1 at t = 0s. At t = 2s, another ball is projected vertically upward with same velocity. At t = s, second ball will meet the first ball…
Physics · Motion in A Straight Line · Numerical
Q65.A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its initial speed of 15 ms $-$ 1. The impulse imparted to the ball is Ns.
Physics · Center of Mass · Numerical
Q66.A system to 10 balls each of mass 2 kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in figure. Tension on the string between the 7th and 8th ball is … Includes diagram
Physics · Laws of Motion · Numerical
Q67.A geyser heats water flowing at a rate of 2.0 kg per minute from 30 $^{\circ}$ C to 70 $^{\circ}$ C. If geyser operates on a gas burner, the rate of combustion of fuel will be g min $-$ 1. [Heat of combustion = 8 $\times$ …
Physics · Heat and Thermodynamics · Numerical
Q68.A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of last…
Physics · Waves · Numerical
Q69.Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10 $-$ 5 N, then separation between the wires is cm.
Physics · Magnetics · Numerical
Q70.A small bulb is placed at the bottom of a tank containing water to a depth of $7$ m. The refractive index of water is $\frac{4}{3}$ . The area of the surface of water through which light from the bulb can emerge out is x $π$ m2. The…
Physics · Geometrical Optics · Numerical
Q71.A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling…
Physics · Units and Measurements · Numerical
Q72.The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength 6630 $A o$ is 0.42 V. If the threshold frequency is x $\times$ 1013 /s, where x is (nearest…
Physics · Dual Nature of Radiation · Numerical