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2022 · 29 Jun · Shift 1

66 questions · JEE Main

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2022 · 29 Jun · Shift 1

2022 · 29 Jun · Shift 1

66 questions · JEE Main

Chemistry19 questions Mathematics22 questions Physics25 questions

Some Basic Concepts of ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions D and F Block ElementsChemistry · 3 questions HydrocarbonsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions ProbabilityMathematics · 1 questions Differential EquationsMathematics · 2 questions Definite IntegrationMathematics · 2 questions Vector AlgebraMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Complex NumbersMathematics · 2 questions Sets and RelationsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Application of DerivativesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 2 questions Binomial TheoremMathematics · 1 questions ParabolaMathematics · 1 questions StatisticsMathematics · 1 questions FunctionsMathematics · 1 questions HyperbolaMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Motion in A Straight LinePhysics · 1 questions Center of MassPhysics · 1 questions Rotational MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 4 questions Properties of MatterPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Work Power and EnergyPhysics · 1 questions MagneticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Vector AlgebraPhysics · 1 questions GravitationPhysics · 1 questions WavesPhysics · 1 questions CapacitorPhysics · 1 questions ElectrostaticsPhysics · 1 questions Wave OpticsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Current ElectricityPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Geometrical OpticsPhysics · 1 questions

Q1.Production of iron in blast furnace follows the following equation $F e_{3} O_{4}$ (s) + 4 $C O$ (g) $\to$ 3 $F e$ (l) + 4 $C O_{2}$ (g) when 4.640 kg of $F e_{3} O_{4}$ and 2.520 kg of $C O$ are allowed to react then the amount of iron (in g) produced is : [Given…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.Which of the following statements are correct? (A) The electronic configuration of Cr is [Ar] 3d5 4s1. (B) The magnetic quantum number may have a negative value. (C) In the ground state of an atom, the orbitals are filled in order of their…
Chemistry · Structure of Atom · MCQ
Q3.The solubility of AgCl will be maximum in which of the following?
Chemistry · Ionic Equilibrium · MCQ
Q4.The electronic configuration of Pt (atomic number 78) is :
Chemistry · D and F Block Elements · MCQ
Q5.Two isomers 'A' and 'B' with molecular formula $C_{4} H_{8}$ give different products on oxidation with $K M n O_{4}$ in acidic medium. Isomer 'A' on reaction with $K M n O_{4}$ / $H^{+}$ results in effervescence of a gas and gives ketone. The compound 'A' is
Chemistry · Hydrocarbons · MCQ
Q6.In the given conversion the compound A is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q7.Given below are two statements : Statement I : The esterification of carboxylic acid with an alcohol is a nucleophilic acyl substitution. Statement II : Electron withdrawing groups in the carboxylic acid will increase the rate of…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.Consider the above reactions, the product A and product B respectively are Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.Sugar moiety in DNA and RNA molecules respectively are
Chemistry · Biomolecules · MCQ
Q10.Given below are two statements : Statement I : Phenols are weakly acidic. Statement II : Therefore they are freely soluble in NaOH solution and are weaker acids than alcohols and water. Choose the most appropriate option :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q11.17.0 g of $N H_{3}$ completely vapourises at $-$ 33.42 $^{\circ}$ C and 1 bar pressure and the enthalpy change in the process is 23.4 kJ mol $-$ 1. The enthalpy change for the vapourisation of 85 g of $N H_{3}$ under the same conditions is …
Chemistry · Thermodynamics · Numerical
Q12.1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for this strength of acid is 0.0198 $^{\circ}$ C. The percentage of dissociation of the acid is .…
Chemistry · Solutions · Numerical
Q13.A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen gas. The total volume of gases produced a STP is cm3. (Nearest integer) [Given : Faraday…
Chemistry · Electrochemistry · Numerical
Q14.The activation energy of one of the reactions in a biochemical process is 532611 J mol $-$ 1. When the temperature falls from 310 K to 300 K, the change in rate constant observed is k300 = x $\times$ 10 $-$ 3 k310. The value of x is …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q15.The number of terminal oxygen atoms present in the product B obtained from the following reaction is . $F e C r_{2} O_{4}$ + $N a_{2} C O_{3}$ + $O_{2}$ $\to$ A + $F e_{2} O_{3}$ + $C O_{2}$ A + $H^{+}$ $\to$ B + $H_{2} O$ + $N a^{+}$
Chemistry · D and F Block Elements · Numerical
Q16.An acidified manganate solution undergoes disproportionation reaction. The spin-only magnetic moment value of the product having manganese in higher oxidation state is B.M. (Nearest integer)
Chemistry · D and F Block Elements · Numerical
Q17.Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from 0.55 g of the compound neutralised 12.5 mL of 1 M $H_{2} S O_{4}$ solution. The percentage of nitrogen in the compound is …
Chemistry · Practical Organic Chemistry · Numerical
Q18.Observe structures of the following compounds The total number of structures/compounds which possess asymmetric carbon atoms is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q19. $C_{6} H_{12} O_{6}$ $Zymase$ A $Δ ⟶ NaOI$ B + $C H I_{3}$ The number of carbon atoms present in the product B is .
Chemistry · Biomolecules · Numerical
Q20.The probability that a randomly chosen 2 $\times$ 2 matrix with all the entries from the set of first 10 primes, is singular, is equal to :
Mathematics · Probability · MCQ
Q21.Let the solution curve of the differential equation $x \frac{d y}{d x} - y = y^{2} + 16 x^{2}$ , $y (1) = 3$ be $y = y (x)$ . Then y(2) is equal to:
Mathematics · Differential Equations · MCQ
Q22.Let $f : R \to R$ be a function defined by : $f (x) = {max {t^{3} - 3 t} t \leq x x^{2} + 2 x - 6;; x \leq 2 25$ where [t] is the greatest integer…
Mathematics · Definite Integration · MCQ
Q23.Let $a = α i + 3 j - k$ , $b = 3 i - β j + 4 k$ and $c = i + 2 j - 2 k$ where $\alpha ,\,\beta \in…
Mathematics · Vector Algebra · MCQ
Q24.The area enclosed by y2 = 8x and y = $2$ x that lies outside the triangle formed by y = $2$ x, x = 1, y = 2 $2$ , is equal to:
Mathematics · Area Under the Curves · MCQ
Q25.If the system of linear equations 2x + y $-$ z = 7 x $-$ 3y + 2z = 1 x + 4y + $δ$ z = k, where $δ$ , k $\in$ R has infinitely many solutions, then $δ$ + k is equal to:
Mathematics · Matrices and Determinants · MCQ
Q26.Let $α$ and $β$ be the roots of the equation x2 + (2i $-$ 1) = 0. Then, the value of | $α$ 8 + $β$ 8| is equal to :
Mathematics · Complex Numbers · MCQ
Q27.Let $A = [a_{ij}]$ be a square matrix of order 3 such that $a_{ij} = 2^{j - i}$ , for all i, j = 1, 2, 3. Then, the matrix A2 + A3 + ...... + A10 is equal to :
Mathematics · Matrices and Determinants · MCQ
Q28.Let a set A = A1 $\cup$ A2 $\cup$ ..... $\cup$ Ak, where Ai $\cap$ Aj = $ϕ$ for i $e$ j, 1 $\leq$ j, j $\leq$ k. Define the relation R from A to A by R = {(x, y) : y $\in$ Ai if and only if x $\in$ Ai, 1 $\leq$ i $\leq$ k}. Then, R is :
Mathematics · Sets and Relations · MCQ
Q29.The distance between the two points A and A' which lie on y = 2 such that both the line segments AB and A' B (where B is the point (2, 3)) subtend angle $\frac{π}{4}$ at the origin, is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q30.A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then, the length of the side of the equilateral triangle, so that the combined area of the square…
Mathematics · Application of Derivatives · MCQ
Q31.The domain of the function $cos^{- 1} (\frac{2 s i n ^{- 1} ( \frac{1}{4 x ^{2} - 1} )}{π})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q32.If the constant term in the expansion of $(3 x^{3} - 2 x^{2} + \frac{5}{x ^{5}})^{10}$ is 2k.l, where l is an odd integer, then the value of k is equal to:
Mathematics · Binomial Theorem · MCQ
Q33. $\int_{0}^{5} cos (π (x - [\frac{x}{2}])) d x$ , where [t] denotes greatest integer less than or equal to t, is equal to:
Mathematics · Definite Integration · MCQ
Q34.Let PQ be a focal chord of the parabola y2 = 4x such that it subtends an angle of $\frac{π}{2}$ at the point (3, 0). Let the line segment PQ be also a focal chord of the ellipse $$E:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} =…
Mathematics · Parabola · MCQ
Q35.Let the mean and the variance of 5 observations x1, x2, x3, x4, x5 be $\frac{24}{5}$ and $\frac{194}{25}$ respectively. If the mean and variance of the first 4 observation are $\frac{7}{2}$ and a respectively, then (4a + x5) is equal to:
Mathematics · Statistics · MCQ
Q36.Let $S = {z \in C : ∣ z - 2∣ \leq 1, z (1 + i) + \overline{z} (1 - i) \leq 2}$ . Let $∣ z - 4 i ∣$ attains minimum and maximum values, respectively, at z1 $\in$ S and z2 $\in$ S. If $5 (∣ z_{1} ∣^{2} + ∣ z_{2} ∣^{2}) = α + β 5$ ,…
Mathematics · Complex Numbers · Numerical
Q37.Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} + {{\sqrt 2 y} \over {2{{\cos }^4}x - {{\cos }^2}x}} = x{e^{{{\tan }^{ - 1}}(\sqrt 2 \cot 2x)}},\,0 2 is equal to $\underline{\hspace{2cm}}$.
Mathematics · Differential Equations · Numerical
Q38. $50 tan (3 tan^{- 1} (\frac{1}{2}) + 2 cos^{- 1} (\frac{1}{5})) + 42 tan (\frac{1}{2} tan^{- 1} (22))$ is equal to …
Mathematics · Inverse Trigonometric Functions · Numerical
Q39.Let c, k $\in$ R. If $f (x) = (c + 1) x^{2} + (1 - c^{2}) x + 2 k$ and $f (x + y) = f (x) + f (y) - x y$ , for all x, y $\in$ R, then the value of $∣2 (f (1) + f (2) + f (3) + ...... + f (20)) ∣$ is equal to .
Mathematics · Functions · Numerical
Q40.Let $H : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ , a > 0, b > 0, be a hyperbola such that the sum of lengths of the transverse and the conjugate axes is $4 (22 + 14)$ . If the eccentricity H is $\frac{11}{2}$ …
Mathematics · Hyperbola · Numerical
Q41.Let b1b2b3b4 be a 4-element permutation with bi $\in$ {1, 2, 3, ........, 100} for 1 $\leq$ i $\leq$ 4 and bi $e$ bj for i $e$ j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of…
Mathematics · Permutations and Combinations · Numerical
Q42.Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is thrown vertically down with an initial velocity 'u' at t = 2 s. After a certain time, both balls meet 100 m above the…
Physics · Motion in A Straight Line · MCQ
Q43.A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpendicular to each other with velocities of 30 ms $-$ 1 and 40 ms $-$ 1 respectively. The velocity of the third piece will…
Physics · Center of Mass · MCQ
Q44.A spherical shell of 1 kg mass and radius R is rolling with angular speed $ω$ on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin O is $\frac{a}{3}$ R2 $ω$ . The value of a… Includes diagram
Physics · Rotational Motion · MCQ
Q45.A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0 $^{\circ}$ C will be : (Given gas constant R = 8.3 JK $-$ …
Physics · Heat and Thermodynamics · MCQ
Q46.A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspended respectively from its free end. Then the value of L is equal to :
Physics · Properties of Matter · MCQ
Q47.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : The photoelectric effect does not takes place, if the energy of the incident radiation is less than the work function of…
Physics · Dual Nature of Radiation · MCQ
Q48.A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 m $-$ 3/2 s $-$ 1).
Physics · Work Power and Energy · MCQ
Q49.A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of…
Physics · Magnetics · MCQ
Q50.For a series LCR circuit, I vs $ω$ curve is shown : (a) To the left of $ω$ r, the circuit is mainly capacitive. (b) To the left of $ω$ r, the circuit is mainly inductive. (c) At $ω$ r, impedance of the circuit is equal… Includes diagram
Physics · Alternating Current · MCQ
Q51.A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of 1 kgs $-$ 1 and at a speed of 10 ms $-$ 1. Then, the initial acceleration of the block, in ms $-$ 2,… Includes diagram
Physics · Properties of Matter · MCQ
Q52.In van der Waal equation $[P + \frac{a}{V ^{2}}]$ [V $-$ b] = RT; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants $\frac{a}{b}$ is dimensionally equal to :
Physics · Heat and Thermodynamics · MCQ
Q53.Two vectors $A$ and $B$ have equal magnitudes. If magnitude of $A$ + $B$ is equal to two times the magnitude of $A - B$ , then the angle between $A$ …
Physics · Vector Algebra · MCQ
Q54.The escape velocity of a body on a planet 'A' is 12 kms $-$ 1. The escape velocity of the body on another planet 'B', whose density is four times and radius is half of the planet 'A', is :
Physics · Gravitation · MCQ
Q55.A longitudinal wave is represented by $x = 10 sin 2 π (n t - \frac{x}{λ})$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :
Physics · Waves · MCQ
Q56.A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15. Then the energy of capacitor will :
Physics · Capacitor · MCQ
Q57.A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 $\times$ 105 NC $-$ 1. If the charge on the particle is 40 $μ$ C and the initial velocity is 200 ms $-$ 1, how much distance…
Physics · Electrostatics · MCQ
Q58.Using Young's double slit experiment, a monochromatic light of wavelength 5000 $A o$ produces fringes of fringe width 0.5 mm. If another monochromatic light of wavelength 6000 $A o$ is used and the separation…
Physics · Wave Optics · MCQ
Q59.Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce…
Physics · Heat and Thermodynamics · Numerical
Q60.The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this light-wave is $\times$ 10 $-$ 9 T. (Given : Permittivity of vacuum $\in$ 0 = 8.85 $\times$ 10…
Physics · Electromagnetic Waves · Numerical
Q61.As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates are 4.0 cm and 2.5 cm respectively and the area of cross-section is 120 cm2 for each plate.… Includes diagram
Physics · Heat and Thermodynamics · Numerical
Q62.A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air jet when it is at 5 cm from its mean position. The new amplitude of vibration is $x$ cm. The value of x is …
Physics · Simple Harmonic Motion · Numerical
Q63.The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31.4 cm. The diameter of wire is measured as 2.4 cm. The resistivity of the given wire is measured as x $\times$ 10 $-$ 3… Includes diagram
Physics · Current Electricity · Numerical
Q64. $d_{1}$ and $d_{2}$ are the impact parameters corresponding to scattering angles 60 $^{\circ}$ and 90 $^{\circ}$ respectively, when an $α$ particle is approaching a gold nucleus. For d1 = x d2, the value of x will be …
Physics · Atoms and Nuclei · Numerical
Q65.A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5. The distance from the centre of the globe at which the beam of light can converge is mm.
Physics · Geometrical Optics · Numerical
Q66.For the network shown below, the value of VB $-$ VA is V. Includes diagram
Physics · Current Electricity · Numerical