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2022 · 27 Jun · Shift 1

67 questions · JEE Main

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2022 · 27 Jun · Shift 1

2022 · 27 Jun · Shift 1

67 questions · JEE Main

Chemistry19 questions Mathematics22 questions Physics26 questions

SolutionsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions DifferentiationMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Differential EquationsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions EllipseMathematics · 1 questions 3D GeometryMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions FunctionsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Area Under the CurvesMathematics · 1 questions CircleMathematics · 1 questions Motion in A PlanePhysics · 2 questions Units and MeasurementsPhysics · 1 questions Laws of MotionPhysics · 1 questions Center of MassPhysics · 2 questions Current ElectricityPhysics · 2 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Alternating CurrentPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions CapacitorPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Electronic DevicesPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Wave OpticsPhysics · 1 questions Circular MotionPhysics · 1 questions

Q1.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : At 10 $^{\circ}$ C, the density of a 5 M solution of KCl [atomic masses of K & Cl are 39 & 35.5 g mol $-$ 1…
Chemistry · Solutions · MCQ
Q2.Based upon VSEPR theory, match the shape (geometry) of the molecules in List-I with the molecules in List-II and select the most appropriate option. Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.Match List-I with List-II. Choose the correct answer from the options given below : Includes table
Chemistry · Thermodynamics · MCQ
Q4.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The ionic radii of $O^{2 -}$ and $M g^{2 +}$ are same. Reason (R) : Both $O^{2 -}$ and $M g^{2 +}$ are isoelectronic…
Chemistry · Periodic Table and Periodicity · MCQ
Q5.Which of the following will have maximum stabilization due to crystal field?
Chemistry · Coordination Compounds · MCQ
Q6.'A' and 'B' respectively are: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q7.The major product of the following reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Which of the following reactions will yield benzaldehyde as a product? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.Given below are two statements : Statement I : In Hofmann degradation reaction, the migration of only an alkyl group takes place from carbonyl carbon of the amide to the nitrogen atom. Statement II : The group is migrated in Hofmann…
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.L-isomer of a compound 'A' ( $C_{4} H_{8} O_{4}$ ) gives a positive test with $[A g (N H_{3})_{2}]^{+}$ . Treatment of 'A' with acetic anhydride yields triacetate derivative. Compound 'A' produces an optically active compound (B) and an optically inactive…
Chemistry · Biomolecules · MCQ
Q11.If the uncertainty in velocity and position of a minute particle in space are, 2.4 $\times$ 10 $-$ 26 (m s $-$ 1) and 10 $-$ 7 (m) respectively. The mass of the particle in g is . (Nearest integer) (Given : h =…
Chemistry · Structure of Atom · Numerical
Q12.2 g of a non-volatile non-electrolyte solute is dissolved in 200 g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1 : 8. The elevation in boiling points of A and B are in the ratio $\frac{x}{y}$ (x :…
Chemistry · Solutions · Numerical
Q13.2 $N O C l$ (g) $⇌$ 2 $N O$ (g) + $C l_{2}$ (g) In an experiment, 2.0 moles of $N O C l$ was placed in a one-litre flask and the concentration of $N O$ after equilibrium established, was found to be 0.4 mol/L. The equilibrium constant…
Chemistry · Chemical Equilibrium · Numerical
Q14.The limiting molar conductivities of $N a I$ , $N a N O_{3}$ and $A g N O_{3}$ are 12.7, 12.0 and 13.3 mS m2 mol $-$ 1, respectively (all at 25 $^{\circ}$ C). The limiting molar conductivity of $A g I$ at this temperature is mS…
Chemistry · Electrochemistry · Numerical
Q15.The rate constant for a first order reaction is given by the following equation: $ln k = 33.24 - \frac{2.0 \times 10 ^{4} K}{T}$ The activation energy for the reaction is given by kJ mol $-$ 1. (In nearest…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q16.The number of statements correct from the following for Copper (at. no. 29) is/are . (A) Cu(II) complexes are always paramagnetic. (B) Cu(I) complexes are generally colourless (C) Cu(I) is easily oxidized (D) In…
Chemistry · D and F Block Elements · Numerical
Q17.Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the manganese product formed from the above reaction is B.M. (Nearest integer)
Chemistry · Coordination Compounds · Numerical
Q18.Two elements A and B which form 0.15 moles of $A_{2} B$ and $A B_{3}$ type compounds. If both $A_{2} B$ and $A B_{3}$ weigh equally, then the atomic weight of A is times of atomic weight of B.
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.Total number of possible stereoisomers of dimethyl cyclopentane is .
Chemistry · Basics of Organic Chemistry · Numerical
Q20.The area of the polygon, whose vertices are the non-real roots of the equation $\overline{z} = i z^{2}$ is :
Mathematics · Complex Numbers · MCQ
Q21.Let the system of linear equations $x + 2 y + z = 2$ , $α x + 3 y - z = α$ , $- α x + y + 2 z = - α$ be inconsistent. Then $α$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q22. $x = n = 0 \sum \infty a^{n}, y = n = 0 \sum \infty b^{n}, z = n = 0 \sum \infty c^{n}$ , where a, b, c are in A.P. and |a| < 1, |b| < 1, |c| < 1, abc $e$ 0, then :
Mathematics · Sequences and Series · MCQ
Q23.Let a be an integer such that $x \to 7 lim \frac{18 - [ 1 - x ]}{[ x - 3 a ]}$ exists, where [t] is greatest integer $\leq$ t. Then a is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q24.The number of distinct real roots of x4 $-$ 4x + 1 = 0 is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.If $cos^{- 1} (\frac{y}{2}) = lo g_{e} (\frac{x}{5})^{5}, ∣ y ∣ < 2$ , then :
Mathematics · Differentiation · MCQ
Q26.If $\int \frac{( x ^{2} + 1 ) e ^{x}}{( x + 1 ) ^{2}} d x = f (x) e^{x} + C$ , where C is a constant, then $\frac{d ^{3} f}{d x ^{3}}$ at x = 1 is equal to :
Mathematics · Indefinite Integrals · MCQ
Q27.The value of the integral $- 2 \int 2 \frac{∣ x ^{3} + x ∣}{( e ^{x ∣ x ∣} + 1 )} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q28.If $\frac{d y}{d x} + \frac{2 ^{x - y} ( 2 ^{y} - 1 )}{2 ^{x} - 1} = 0$ , x, y > 0, y(1) = 1, then y(2) is equal to :
Mathematics · Differential Equations · MCQ
Q29.In an isosceles triangle ABC, the vertex A is (6, 1) and the equation of the base BC is 2x + y = 4. Let the point B lie on the line x + 3y = 7. If ( $α$ , $β$ ) is the centroid of $Δ$ ABC, then 15( $α$ + $β$ ) is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q30.Let the eccentricity of an ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ , $a > b$ , be $\frac{1}{4}$ . If this ellipse passes through the point $(- 4 \frac{2}{5}, 3)$ , then $a^{2} + b^{2}$ is…
Mathematics · Ellipse · MCQ
Q31.If two straight lines whose direction cosines are given by the relations $l + m - n = 0$ , $3 l^{2} + m^{2} + c n l = 0$ are parallel, then the positive value of c is :
Mathematics · 3D Geometry · MCQ
Q32.Let $a = i + j - k$ and $c = 2 i - 3 j + 2 k$ . Then the number of vectors $b$ such that $b \times c = a$ …
Mathematics · Vector Algebra · MCQ
Q33.Five numbers $x_{1}, x_{2}, x_{3}, x_{4}, x_{5}$ are randomly selected from the numbers 1, 2, 3, ......., 18 and are arranged in the increasing order $(x_{1} < x_{2} < x_{3} < x_{4} < x_{5})$ . The probability that $x_{2} = 7$ and $x_{4} = 11$ …
Mathematics · Probability · MCQ
Q34.The value of $cos (\frac{2 π}{7}) + cos (\frac{4 π}{7}) + cos (\frac{6 π}{7})$ is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q35. $sin^{1} (sin \frac{2 π}{3}) + cos^{- 1} (cos \frac{7 π}{6}) + tan^{- 1} (tan \frac{3 π}{4})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q36.Let f : R $\to$ R be a function defined by $f (x) = \frac{2 e ^{2 x}}{e ^{2 x} + e}$ . Then $f (\frac{1}{100}) + f (\frac{2}{100}) + f (\frac{3}{100}) + ..... + f (\frac{99}{100})$ …
Mathematics · Functions · Numerical
Q37.If the sum of all the roots of the equation $e^{2 x} - 11 e^{x} - 45 e^{- x} + \frac{81}{2} = 0$ is $lo g_{e} p$ , then p is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q38.The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is .
Mathematics · Permutations and Combinations · Numerical
Q39.If the coefficient of x10 in the binomial expansion of $(\frac{x}{5 ^{\frac{1}{4}}} + \frac{5}{x ^{\frac{1}{3}}})^{60}$ is $5^{k} . l$ , where l, k $\in$ N and l is co-prime to 5, then k is equal…
Mathematics · Binomial Theorem · Numerical
Q40.Let $A_{1} = {(x, y) : ∣ x ∣ \leq y^{2}, ∣ x ∣ + 2 y \leq 8}$ and $A_{2} = {(x, y) : ∣ x ∣ + ∣ y ∣ \leq k}$ . If 27 (Area A1) = 5 (Area A2), then k is equal to :
Mathematics · Area Under the Curves · Numerical
Q41.A rectangle R with end points of one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a diameter of the circle is 2x $-$ y + 4 = 0, then the area of R is .
Mathematics · Circle · Numerical
Q42.A projectile is launched at an angle ' $α$ ' with the horizontal with a velocity 20 ms $-$ 1. After 10 s, its inclination with horizontal is ' $β$ '. The value of tan $β$ will be : (g = 10 ms $-$ 2).
Physics · Motion in A Plane · MCQ
Q43.A girl standing on road holds her umbrella at 45 $^{\circ}$ with the vertical to keep the rain away. If she starts running without umbrella with a speed of 15 $2$ kmh $-$ 1, the rain drops hit her head vertically. The speed of rain…
Physics · Motion in A Plane · MCQ
Q44.A silver wire has a mass (0.6 $\pm$ 0.006) g, radius (0.5 $\pm$ 0.005) mm and length (4 $\pm$ 0.04) cm. The maximum percentage error in the measurement of its density will be :
Physics · Units and Measurements · MCQ
Q45.A system of two blocks of masses m = 2 kg and M = 8 kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5. The maximum horizontal force F that can be applied to the block of mass M… Includes diagram
Physics · Laws of Motion · MCQ
Q46.Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0) cm and (x, 0) cm respectively. The block of 10 kg is moved on the same line through a distance of 6 cm towards the other block. The distance…
Physics · Center of Mass · MCQ
Q47.A 72 $Ω$ galvanometer is shunted by a resistance of 8 $Ω$ . The percentage of the total current which passes through the galvanometer is :
Physics · Current Electricity · MCQ
Q48.Given below are two statements : Statement I : The law of gravitation holds good for any pair of bodies in the universe. Statement II : The weight of any person becomes zero when the person is at the centre of the earth. In the light of…
Physics · Gravitation · MCQ
Q49.What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of 5 times its mass? (Assume the collision to be head-on elastic collision)
Physics · Center of Mass · MCQ
Q50.The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is d2, then the viscous force acting on the ball, will be :
Physics · Properties of Matter · MCQ
Q51.The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m, is : [Permeability of free space $μ$ 0 = 4 $π \times$ 10 $-$ 7 Wb/A-m]
Physics · Magnetic Properties of Matter · MCQ
Q52.The current flowing through an ac circuit is given by I = 5 sin(120 $π$ t)A How long will the current take to reach the peak value starting from zero?
Physics · Alternating Current · MCQ
Q53.Match List-I with List-II : Choose the correct answer from the options given below : Includes table
Physics · Electromagnetic Waves · MCQ
Q54.An $α$ particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelengths $(λ_{α} : λ_{C 12})$ is :
Physics · Dual Nature of Radiation · MCQ
Q55.A force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be.
Physics · Capacitor · MCQ
Q56.The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is :
Physics · Simple Harmonic Motion · MCQ
Q57.Consider a light ray travelling in air is incident into a medium of refractive index $2 n$ . The incident angle is twice that of refracting angle. Then, the angle of incidence will be :
Physics · Geometrical Optics · MCQ
Q58.A hydrogen atom in its ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of : (Given, Planck's constant = 6.6 $\times$ 10 $-$ 34 Js).
Physics · Atoms and Nuclei · MCQ
Q59.Identify the correct Logic Gate for the following output (Y) of two inputs A and B. Includes diagram
Physics · Electronic Devices · MCQ
Q60.A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be: [Take gas constant R = 8.3 JK $-$ 1mol…
Physics · Heat and Thermodynamics · MCQ
Q61.A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure) to run the lamp at its peak brightness, then the value of R (in ohm) will be . Includes diagram
Physics · Alternating Current · Numerical
Q62.In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen at a distance 80 cm from the slits. The first dark fringe is observed on the screen directly opposite to one of the…
Physics · Wave Optics · Numerical
Q63.A beam of monochromatic light is used to excite the electron in Li+ + from the first orbit to the third orbit. The wavelength of monochromatic light is found to be x $\times$ 10 $-$ 10 m. The value of x is .…
Physics · Atoms and Nuclei · Numerical
Q64.The current density in a cylindrical wire of radius 4 mm is 4 $\times$ 106 Am $-$ 2. The current through the outer portion of the wire between radial distances $\frac{R}{2}$ and R is $π$ A.
Physics · Current Electricity · Numerical
Q65.A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is nJ.
Physics · Capacitor · Numerical
Q66.The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-section 1 cm2. A load of 25 kg is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the…
Physics · Properties of Matter · Numerical
Q67.A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed $\frac{v}{3}$ and the bob just completes the vertical…
Physics · Circular Motion · Numerical