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2022 · 26 Jul · Shift 1

72 questions · JEE Main

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2022 · 26 Jul · Shift 1

2022 · 26 Jul · Shift 1

72 questions · JEE Main

Chemistry24 questions Mathematics21 questions Physics27 questions

Chemical Bonding and Molecular StructureChemistry · 1 questions P Block ElementsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Redox ReactionsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Alcohols Phenols and EthersChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions BiomoleculesChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Limits Continuity and DifferentiabilityMathematics · 4 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Differential EquationsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions 3D GeometryMathematics · 2 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Application of DerivativesMathematics · 1 questions Laws of MotionPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Wave OpticsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Alternating CurrentPhysics · 2 questions MagneticsPhysics · 2 questions Current ElectricityPhysics · 2 questions CapacitorPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Properties of MatterPhysics · 2 questions GravitationPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Motion in A PlanePhysics · 2 questions Units and MeasurementsPhysics · 1 questions Rotational MotionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Electronic DevicesPhysics · 1 questions

Q1.Match List-I with List-II : Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · P Block Elements · MCQ
Q3.Given two statements below : Statement I : In $Cl_{2}$ molecule the covalent radius is double of the atomic radius of chlorine. Statement II : Radius of anionic species is always greater than their parent atomic radius. Choose the…
Chemistry · Periodic Table and Periodicity · MCQ
Q4.Which of the given reactions is not an example of disproportionation reaction?
Chemistry · Redox Reactions · MCQ
Q5.The dark purple colour of $KMnO_{4}$ disappears in the titration with oxalic acid in acidic medium. The overall change in the oxidation number of manganese in the reaction is :
Chemistry · D and F Block Elements · MCQ
Q6. $Cl ∙ + CH_{4} \to A + B$ A and B in the above atmospheric reaction step are :
Chemistry · Hydrocarbons · MCQ
Q7.Which technique among the following, is most appropriate in separation of a mixture of $100 mg$ of $p$ -nitrophenol and picric acid ?
Chemistry · Basics of Organic Chemistry · MCQ
Q8.The difference in the reaction of phenol with bromine in chloroform and bromine in water medium is due to :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.Which of the following compounds is not aromatic?
Chemistry · Basics of Organic Chemistry · MCQ
Q10.The products formed in the following reaction, A and B are Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.Which reactant will give the following alcohol on reaction with one mole of phenyl magnesium bromide $(PhMgBr)$ followed by acidic hydrolysis? Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.The major product of the following reaction is Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.The correct stability order of the following diazonium salt is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.Which one of the following is a reducing sugar?
Chemistry · Biomolecules · MCQ
Q15.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Experimental reaction of $CH_{3} Cl$ with aniline and anhydrous $AlCl_{3}$ does not give $o$ …
Chemistry · Compounds Containing Nitrogen · MCQ
Q16.Chlorophyll extracted from the crushed green leaves was dissolved in water to make $48 ppm$ solution of Mg of concentration $48 ppm$ . The number of atoms of $Mg$ in this solution is $x \times 1 0^{20}$ atoms. The…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.The wavelength of an electron and a neutron will become equal when the velocity of the electron is $x$ times the velocity of neutron. The value of $x$ is . (Nearest Integer) (Mass of electron is $9.1 \times 1 0^{- 31} kg$ …
Chemistry · Structure of Atom · Numerical
Q18. $298 K$ coal is burnt in a bomb calorimeter in excess of oxygen at $1 atm$ and $298 K$ pressure. The temperature of the calorimeter rises from $300 K$ to $300 K$ . The enthalpy change during…
Chemistry · Thermodynamics · Numerical
Q19.When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half and 11.5 g of nitric acid is evaporated. The molarity of the remaining nitric acid solution is x $\times$ 10 $-$ 2 M. (Nearest integer) (Molar mass of…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.At $2 \times 1 0^{15}$ , the equilibrium constant is $2 \times 1 0^{15}$ for the reaction : $Cu (s) + 2 Ag^{+} (aq) ⇌ Cu^{2 +} (aq) + 2 Ag (s)$ The equilibrium…
Chemistry · Chemical Equilibrium · Numerical
Q21.The amount of charge in $F$ (Faraday) required to obtain one mole of iron from $Fe_{3} O_{4}$ is . (Nearest Integer)
Chemistry · Electrochemistry · Numerical
Q22.For a reaction $A \to 2 B + C$ the half lives are $50 s$ and $A$ when the concentration of reactant $A$ is $0.5$ and $1.0 mol L^{- 1}$ respectively.…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.The difference between spin only magnetic moment values of $[Co (H_{2} O)_{6}] Cl_{2}$ and $[Cr (H_{2} O)_{6}] Cl_{3}$ is …
Chemistry · Coordination Compounds · Numerical
Q24.In the presence of sunlight, benzene reacts with $C l_{2}$ to give product, X. The number of hydrogens in X is .
Chemistry · Haloalkanes and Haloarenes · Numerical
Q25.Let f : R $\to$ R be a continuous function such that $f (3 x) - f (x) = x$ . If $f (8) = 7$ , then $f (14)$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.Let O be the origin and A be the point $z_{1} = 1 + 2 i$ . If B is the point $z_{2}$ , $Re o l imi t s (z_{2}) < 0$ , such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT…
Mathematics · Complex Numbers · MCQ
Q27.If the system of linear equations. $8 x + y + 4 z = - 2 x + y + z = 0 λ x - 3 y = μ$ has infinitely many solutions, then the distance of the point $(λ, μ, - \frac{1}{2})$ from the plane $8 x + y + 4 z + 2 = 0$ is…
Mathematics · Matrices and Determinants · MCQ
Q28.The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = ya is $\frac{364}{3}$ , is equal to :
Mathematics · Area Under the Curves · MCQ
Q29.Consider two G.Ps. 2, 22, 23, ..... and 4, 42, 43, .... of 60 and n terms respectively. If the geometric mean of all the 60 + n terms is $(2)^{\frac{225}{8}}$ , then $k = 1 \sum n k (n - k)$ is equal to :
Mathematics · Sequences and Series · MCQ
Q30.If the function $f (x) = {\frac{l o g _{e} ( 1 - x + x ^{2} ) + l o g _{e} ( 1 + x + x ^{2} )}{s e c x - c o s x} k,, x \in (\frac{- π}{2}, \frac{π}{2}) - {0} x = 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q31.If $f (x) = {x + a ∣ x - 4∣,, x \leq 0 x > 0$ and $g (x) = {x + 1 (x - 4)^{2} + b,, x < 0 x \geq 0$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.Let $f (x) = {x^{3} - x^{2} + 10 x - 7, - 2 x + lo g_{2} (b^{2} - 4), x \leq 1 x > 1$ . Then the set of all values of b, for which f(x) has maximum value at x = 1,…
Mathematics · Limits Continuity and Differentiability · MCQ
Q33.If $\frac{d y}{d x} + 2 y tan x = sin x, 0 < x < \frac{π}{2}$ and $y (\frac{π}{3}) = 0$ , then the maximum value of $y (x)$ is :
Mathematics · Differential Equations · MCQ
Q34.A point $P$ moves so that the sum of squares of its distances from the points $(1, 2)$ and $(- 2, 1)$ is 14. Let $f (x, y) = 0$ be the locus of $P$ , which intersects the $x$ -axis at the points $A$ , $B$ and the $y$ -axis…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q35.The length of the perpendicular from the point $(1, - 2, 5)$ on the line passing through $(1, 2, 4)$ and parallel to the line $x + y - z = 0 = x - 2 y + 3 z - 5$ is :
Mathematics · 3D Geometry · MCQ
Q36.Let $a = α \hat{i} + \hat{j} - \hat{k}$ and $b = 2 \hat{i} + \hat{j} - α \hat{k}, α > 0$ . If the projection of $a \times b$ …
Mathematics · Vector Algebra · MCQ
Q37.Let $E_{1}, E_{2}, E_{3}$ be three mutually exclusive events such that $P (E_{1}) = \frac{2 + 3 p}{6}, P (E_{2}) = \frac{2 - p}{8}$ and $P (E_{3}) = \frac{1 - p}{2}$ …
Mathematics · Probability · MCQ
Q38. $tan (2 tan^{- 1} \frac{1}{5} + sec^{- 1} \frac{5}{2} + 2 tan^{- 1} \frac{1}{8})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q39.If for some $p, q, r \in R$ , not all have same sign, one of the roots of the equation $(p^{2} + q^{2}) x^{2} - 2 q (p + r) x + q^{2} + r^{2} = 0$ …
Mathematics · Quadratic Equation and Inequalities · Numerical
Q40.The number of 5-digit natural numbers, such that the product of their digits is 36 , is .
Mathematics · Permutations and Combinations · Numerical
Q41.The number of distinct real roots of the equation $x^{5} (x^{3} - x^{2} - x + 1) + x (3 x^{3} - 4 x^{2} - 2 x + 4) - 1 = 0$ is .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q42.If $n (2 n + 1) \int_{0}^{1} (1 - x^{n})^{2 n} d x = 1177 \int_{0}^{1} (1 - x^{n})^{2 n + 1} d x$ , then $n \in N$ is equal to …
Mathematics · Definite Integration · Numerical
Q43.The equations of the sides $AB, BC$ and $CA$ of a triangle $ABC$ are $2 x + y = 0, x + p y = 15 a$ and $x - y = 3$ respectively. If its orthocentre is $(2, a), - \frac{1}{2} < a < 2$ , then…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q44.Let the function $f (x) = 2 x^{2} - lo g_{e} x, x > 0$ , be decreasing in $(0, a)$ and increasing in $(a, 4)$ . A tangent to the parabola $y^{2} = 4 a x$ at a point $P$ on it passes through the point $(8 a, 8 a - 1)$ …
Mathematics · Application of Derivatives · Numerical
Q45.Let $Q$ and $R$ be two points on the line $\frac{x + 1}{2} = \frac{y + 2}{3} = \frac{z - 1}{2}$ at a distance $26$ from the point $P (4, 2, 7)$ . Then the square of the area of the triangle $P QR$ is .
Mathematics · 3D Geometry · Numerical
Q46.Three masses $M = 100 kg, m_{1} = 10 kg$ and $m_{2} = 20 kg$ are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The… Includes diagram
Physics · Laws of Motion · MCQ
Q47.A parallel beam of light of wavelength $100 Wm^{- 2}$ and intensity $100 Wm^{- 2}$ is incident on a surface perpendicular to the beam. The number of photons crossing $1 cm^{2}$ area perpendicular to the beam in one…
Physics · Dual Nature of Radiation · MCQ
Q48.In Young's double slit experiment, the fringe width is $\frac{4}{3}$ . If the entire arrangement is placed in water of refractive index $\frac{4}{3}$ , then the fringe width becomes (in mm):
Physics · Wave Optics · MCQ
Q49.The magnetic field of a plane electromagnetic wave is given by : $B = 2 \times 1 0^{- 8} sin (0.5 \times 1 0^{3} x + 1.5 \times 1 0^{11} t) \hat{j} T$ . The amplitude of the electric…
Physics · Electromagnetic Waves · MCQ
Q50.In a series $L R$ circuit $X_{L} = R$ and power factor of the circuit is $P_{1}$ . When capacitor with capacitance $C$ such that $X_{L} = X_{C}$ is put in series, the power factor becomes $P_{2}$ . The ratio $\frac{P _{1}}{P _{2}}$ is:
Physics · Alternating Current · MCQ
Q51.A charge particle is moving in a uniform magnetic field $(2 \hat{i} + 3 \hat{j}) T$ . If it has an acceleration of $(α \hat{i} - 4 \hat{j}) m / s^{2}$ , then the value of $α$ will be :
Physics · Magnetics · MCQ
Q52. $B_{X}$ and $B_{Y}$ are the magnetic fields at the centre of two coils $X$ and $Y$ respectively each carrying equal current. If coil $X$ has 200 turns and $Y$ radius and coil $Y$ …
Physics · Magnetics · MCQ
Q53.The current I in the given circuit will be : Includes diagram
Physics · Current Electricity · MCQ
Q54.The total charge on the system of capacitors $C_{1} = 1 μ F, C_{2} = 2 μ F, C_{3} = 4 μ F$ and $C_{4} = 3 μ F$ connected in parallel is : (Assume a battery of $20 V$ is…
Physics · Capacitor · MCQ
Q55.When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be :
Physics · Simple Harmonic Motion · MCQ
Q56.7 mol of a certain monoatomic ideal gas undergoes a temperature increase of $R = 8.3 JK^{- 1} mol^{- 1}$ at constant pressure. The increase in the internal energy of the gas in this process is : (Given $R = 8.3 JK^{- 1} mol^{- 1}$ …
Physics · Heat and Thermodynamics · MCQ
Q57.A monoatomic gas at pressure $P$ and volume $V$ is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :
Physics · Heat and Thermodynamics · MCQ
Q58.A water drop of radius $cm$ is broken into 729 equal droplets. If surface tension of water is 75 dyne/ $cm$ , then the gain in surface energy upto first decimal place will be : (Given $π = 3.14$ )
Physics · Properties of Matter · MCQ
Q59.The percentage decrease in the weight of a rocket, when taken to a height of $($ above the surface of earth will, be : $($ Radius of earth $= 6400 km)$
Physics · Gravitation · MCQ
Q60.As per the given figure, two blocks each of mass $2 Nm^{- 1}$ are connected to a spring of spring constant $2 Nm^{- 1}$ . If both are given velocity $v$ in opposite directions, then maximum elongation of the spring is : Includes diagram
Physics · Work Power and Energy · MCQ
Q61.A monkey of mass $350 N$ climbs on a rope which can withstand the tension (T) of $4 m / s^{2}$ . If monkey initially climbs down with an acceleration of $4 m / s^{2}$ and then climbs up with an acceleration…
Physics · Laws of Motion · MCQ
Q62.Two projectiles thrown at $3 0^{\circ}$ and $4 5^{\circ}$ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is :
Physics · Motion in A Plane · MCQ
Q63.A screw gauge of pitch $6.8 cm$ is used to measure the diameter of uniform wire of length $1.5 mm$ , the main scale reading is $1.5 mm$ and circular scale reading is 7 . The calculated curved surface area of…
Physics · Units and Measurements · MCQ
Q64.If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is $y = 5 x (1 - x)$ . The $y$ component vector of the initial velocity is $\hat{j}$ . ( $Take$ …
Physics · Motion in A Plane · Numerical
Q65.A disc of mass $R$ and radius $R$ is free to rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point of the…
Physics · Rotational Motion · Numerical
Q66.In an experiment to determine the Young's modulus of wire of a length exactly $0.4 mm$ , the extension in the length of the wire is measured as $\pm 0.02 mm$ with an uncertainty of $\pm 0.02 mm$ when a load of $1 kg$ …
Physics · Properties of Matter · Numerical
Q67.A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $(t_{1}$ and $t_{2})$ as shown in figure. The two different dielectric materials are separated by a… Includes diagram
Physics · Capacitor · Numerical
Q68.Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length $l_{1}$ is $x$ . Now an unknown resistance $x$ is connected in series with $P$ and new balancing length is found to be $80 cm$ … Includes diagram
Physics · Current Electricity · Numerical
Q69.The effective current I in the given circuit at very high frequencies will be A. Includes diagram
Physics · Alternating Current · Numerical
Q70.The graph between $\frac{1}{u}$ and $\frac{1}{v}$ for a thin convex lens in order to determine its focal length is plotted as shown in the figure. The refractive index of lens is $1.5$ and its both the surfaces have same radius of… Includes diagram
Physics · Geometrical Optics · Numerical
Q71.In the hydrogen spectrum, $λ$ be the wavelength of first transition line of Lyman series. The wavelength difference will be "a $λ$ '' between the wavelength of $3^{rd}$ transition line of Paschen series and that of $2^{nd}$ …
Physics · Atoms and Nuclei · Numerical
Q72.In the circuit shown below, maximum zener diode current will be $mA$ . Includes diagram
Physics · Electronic Devices · Numerical