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2023 · 15 Apr · Shift 1

72 questions · JEE Main

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2023 · 15 Apr · Shift 1

2023 · 15 Apr · Shift 1

72 questions · JEE Main

Chemistry23 questions Mathematics21 questions Physics28 questions

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

Q1.During water-gas shift reaction
Chemistry · P Block Elements · MCQ
Q2.The complex with highest magnitude of crystal field splitting energy $(Δ_{0})$ is :
Chemistry · Coordination Compounds · MCQ
Q3.The major product formed in the Friedel-Craft acylation of chlorobenzene is
Chemistry · Haloalkanes and Haloarenes · MCQ
Q4.The number of $P - O - P$ bonds in $H_{4} P_{2} O_{7}, (HPO_{3})_{3}$ and $P_{4} O_{10}$ are respectively :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q5.Which of the following statement is correct for paper chromatography?
Chemistry · Basics of Organic Chemistry · MCQ
Q6.Which is not true for arginine?
Chemistry · Biomolecules · MCQ
Q7.Consider the following sequence of reactions: The product ' $B$ ' is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.Given below are two statements: Statement I : According to Bohr's model of hydrogen atom, the angular momentum of an electron in a given stationary state is quantised. Statement II : The concept of electron in Bohr's orbit, violates the…
Chemistry · Structure of Atom · MCQ
Q9.Which of the following statement(s) is/are correct? (A) The $pH$ of $1 \times 1 0^{- 8} M HCl$ solution is 8 . (B) The conjugate base of $H_{2} PO_{4}^{-}$ is $HPO_{4}^{2 -}$ . (C) $K_{w}$ …
Chemistry · Ionic Equilibrium · MCQ
Q10.Consider the following statements: (A) $N F_{3}$ molecule has a trigonal planar structure. (B) Bond length of $N_{2}$ is shorter than $O_{2}$ . (C) Isoelectronic molecules or ions have identical bond order. (D) Dipole moment…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q11.In the above conversion the correct sequence of reagents to be added is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.'A' formed in the above reaction is Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.The product formed in the following multistep reaction is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q14.Decreasing order of reactivity towards electrophilic substitution for the following compounds is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.For a reversible reaction $A ⇌ B$ , the $Δ H_{forward reaction} = 20 kJ mol^{- 1}$ . The activation energy of the uncatalysed forward reaction is $300 kJ mol^{- 1}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q16.The volume (in $mL$ ) of $0.1 M AgNO_{3}$ required for complete precipitation of chloride ions present in $0.01 M$ of $0.01 M$ solution of $[Cr (H_{2} O)_{5} Cl] Cl_{2}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.The number of correct statements from the following is . (A) Conductivity always decreases with decrease in concentration for both strong and weak electrolytes. (B) The number of ions per unit volume that carry…
Chemistry · Electrochemistry · Numerical
Q18.In Chromyl chloride, the oxidation state of chromium is $(+)$ .
Chemistry · D and F Block Elements · Numerical
Q19.The vapour pressure of $30% (w / v)$ aqueous solution of glucose is $mm Hg$ at $2 5^{\circ} C$ . [Given : The density of $30%$ (w/v), aqueous solution of glucose is $1.2 g cm^{- 3}$ …
Chemistry · Solutions · Numerical
Q20. $28.4 J K^{- 1} mol^{- 1}$ of heat is required to melt one mole of sodium chloride and the entropy change at the melting point is $28.4 J K^{- 1} mol^{- 1}$ at 1 atm. The melting point of sodium chloride is …
Chemistry · Thermodynamics · Numerical
Q21.The total change in the oxidation state of manganese involved in the reaction of $KMnO_{4}$ and potassium iodide in the acidic medium is .
Chemistry · D and F Block Elements · Numerical
Q22.The homoleptic and octahedral complex of $Co^{2 +}$ and $H_{2} O$ has unpaired electron(s) in the $t_{2 g}$ set of orbitals.
Chemistry · Coordination Compounds · Numerical
Q23.The total number of isoelectronic species from the given set is . $O^{2 -}, F^{-}, Al, Mg^{2 +}, Na^{+}, O^{+}, Mg, Al^{3 +}, F$
Chemistry · Structure of Atom · Numerical
Q24.Let $x = x (y)$ be the solution of the differential equation $2 (y + 2) lo g_{e} (y + 2) d x + (x + 4 - 2 lo g_{e} (y + 2)) d y = 0, y > - 1$ with $x (e^{4} - 2) = 1$ . Then $x (e^{9} - 2)$ is equal to :
Mathematics · Differential Equations · MCQ
Q25.If $0 \int 1 \frac{1}{( 5 + 2 x - 2 x ^{2} ) ( 1 + e ^{(2 - 4 x)} )} d x = \frac{1}{α} lo g_{e} (\frac{α + 1}{β}), α, β > 0$ , then $α^{4} - β^{4}$ is equal to :
Mathematics · Definite Integration · MCQ
Q26.The total number of three-digit numbers, divisible by 3, which can be formed using the digits $1, 3, 5, 8$ , if repetition of digits is allowed, is :
Mathematics · Permutations and Combinations · MCQ
Q27.Let $ABCD$ be a quadrilateral. If $E$ and $F$ are the mid points of the diagonals $AC$ and $BD$ respectively and $(A B - B C) + (A D - D C) = k F E$ …
Mathematics · Vector Algebra · MCQ
Q28.If the domain of the function $f (x) = lo g_{e} (4 x^{2} + 11 x + 6) + sin^{- 1} (4 x + 3) + cos^{- 1} (\frac{10 x + 6}{3})$ is $(α, β]$ , then $36∣ α + β ∣$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q29.Let $[x]$ denote the greatest integer function and $f (x) = max {1 + x + [x], 2 + x, x + 2 [x]}, 0 \leq x \leq 2$ . Let $m$ be the number of points in $[0, 2]$ , where $f$ is not continuous and $n$ be the number of points in $(0, 2)$ , where $f$ is not…
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observation was recorded as 50 instead of 40. Then the correct variance is :
Mathematics · Statistics · MCQ
Q31.Let $(a + b x + c x^{2})^{10} = i = 0 \sum 20 p_{i} x^{i}, a, b, c \in N$ . If $p_{1} = 20$ and $p_{2} = 210$ , then $2 (a + b + c)$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q32.A bag contains 6 white and 4 black balls. A die is rolled once and the number of balls equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn are white is :
Mathematics · Probability · MCQ
Q33.The number of real roots of the equation $x ∣ x ∣ - 5∣ x + 2∣ + 6 = 0$ , is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q34.If $(α, β)$ is the orthocenter of the triangle $ABC$ with vertices $A (3, - 7), B (- 1, 2)$ and $C (4, 5)$ , then $9 α - 6 β + 60$ is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q35.Let $A_{1}$ and $A_{2}$ be two arithmetic means and $G_{1}, G_{2}, G_{3}$ be three geometric means of two distinct positive numbers. Then $G_{1}^{4} + G_{2}^{4} + G_{3}^{4} + G_{1}^{2} G_{3}^{2}$ is equal to :
Mathematics · Sequences and Series · MCQ
Q36.Let $S$ be the set of all values of $λ$ , for which the shortest distance between the lines $\frac{x - λ}{0} = \frac{y - 3}{4} = \frac{z + 6}{1}$ and $\frac{x + λ}{3} = \frac{y}{- 4} = \frac{z - 6}{0}$ is 13. Then $8 λ \in S \sum λ$ …
Mathematics · 3D Geometry · MCQ
Q37.If the set ${Re (\frac{z - z ˉ + z z ˉ}{2 - 3 z + 5 z ˉ}) : z \in C, Re (z) = 3}$ is equal to the interval $(α, β]$ , then $24 (β - α)$ is equal to :
Mathematics · Complex Numbers · MCQ
Q38.A person forgets his 4-digit ATM pin code. But he remembers that in the code all the digits are different, the greatest digit is 7 and the sum of the first two digits is equal to the sum of the last two digits. Then the maximum number of…
Mathematics · Permutations and Combinations · Numerical
Q39.Let an ellipse with centre $(1, 0)$ and latus rectum of length $\frac{1}{2}$ have its major axis along $x$ -axis. If its minor axis subtends an angle $6 0^{\circ}$ at the foci, then the square of the sum of the lengths of its minor…
Mathematics · Ellipse · Numerical
Q40.If the area bounded by the curve $2 y^{2} = 3 x$ , lines $x + y = 3, y = 0$ and outside the circle $(x - 3)^{2} + y^{2} = 2$ is $A$ , then $4 (π + 4 A)$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q41.Let $f (x) = \int \frac{d x}{( 3 + 4 x ^{2} ) 4 - 3 x ^{2}}, ∣ x ∣0$ , then $α^{2} + β^{2}$ is equal to .
Mathematics · Indefinite Integrals · Numerical
Q42.Consider the triangles with vertices $A (2, 1), B (0, 0)$ and $C (t, 4), t \in [0, 4]$ . If the maximum and the minimum perimeters of such triangles are obtained at $t = α$ and $t = β$ respectively, then $6 α + 21 β$ is equal to …
Mathematics · Application of Derivatives · Numerical
Q43.The number of elements in the set ${n \in N : 10 \leq n \leq 100$ and $3^{n} - 3$ is a multiple of 7 $}$ is .
Mathematics · Sets and Relations · Numerical
Q44.Let $A = {1, 2, 3, 4}$ and $R$ be a relation on the set $A \times A$ defined by $R = {((a, b), (c, d)) : 2 a + 3 b = 4 c + 5 d}$ . Then the number of elements in $R$ is .
Mathematics · Sets and Relations · Numerical
Q45.A wire of length ' $L$ ' and radius ' $r$ ' is clamped rigidly at one end. When the other end of the wire is pulled by a force $f$ , its length increases by ' $l$ '. Another wire of same material of length ' $2 r$ ' and radius ' $2 r$ '…
Physics · Properties of Matter · MCQ
Q46.The position of a particle related to time is given by $x = (5 t^{2} - 4 t + 5) m$ . The magnitude of velocity of the particle at $t = 2 s$ will be :
Physics · Motion in A Straight Line · MCQ
Q47.The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plane varies with distance as :
Physics · Electrostatics · MCQ
Q48.In the given circuit, the current (I) through the battery will be Includes diagram
Physics · Electronic Devices · MCQ
Q49.The de Broglie wavelength of an electron having kinetic energy $E$ is $λ$ . If the kinetic energy of electron becomes $\frac{E}{4}$ , then its de-Broglie wavelength will be :
Physics · Dual Nature of Radiation · MCQ
Q50.In a linear Simple Harmonic Motion (SHM) (A) Restoring force is directly proportional to the displacement. (B) The acceleration and displacement are opposite in direction. (C) The velocity is maximum at mean position. (D) The acceleration…
Physics · Simple Harmonic Motion · MCQ
Q51.Two identical particles each of mass ' $m$ ' go round a circle of radius $a$ under the action of their mutual gravitational attraction. The angular speed of each particle will be :
Physics · Gravitation · MCQ
Q52.A single slit of width $a$ is illuminated by a monochromatic light of wavelength $a$ . The value of ' $a$ ' for which first minimum appears at $θ = 3 0^{\circ}$ on the screen will be :
Physics · Wave Optics · MCQ
Q53.The position vector of a particle related to time $t$ is given by $r = (10 t \hat{i} + 15 t^{2} \hat{j} + 7 \hat{k}) m$ The direction of net force experienced by the particle is :
Physics · Laws of Motion · MCQ
Q54.A body is released from a height equal to the radius $(R)$ of the earth. The velocity of the body when it strikes the surface of the earth will be (Given $g =$ acceleration due to gravity on the earth.)
Physics · Gravitation · MCQ
Q55.A vector in $x - y$ plane makes an angle of $3 0^{\circ}$ with $y$ -axis. The magnitude of $y$ -component of vector is $23$ . The magnitude of $x$ -component of the vector will be :
Physics · Vector Algebra · MCQ
Q56.The speed of a wave produced in water is given by $v = λ^{a} g^{b} ρ^{c}$ . Where $ρ$ and $ρ$ are wavelength of wave, acceleration due to gravity and density of water respectively. The values of $c$ and $c$ …
Physics · Units and Measurements · MCQ
Q57.For designing a voltmeter of range $10 mA$ and an ammeter of range $54Ω$ using a galvanometer which has a coil of resistance $54Ω$ showing a full scale deflection for $1 mA$ as in figure. (A) for… Includes diagram
Physics · Current Electricity · MCQ
Q58.A thermodynamic system is taken through cyclic process. The total work done in the process is : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q59.Given below are two statements: Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination. Statement II : The resistivity of the material is independent of…
Physics · Current Electricity · MCQ
Q60.Match List I with List II of Electromagnetic waves with corresponding wavelength range : Choose the correct answer from the options given below: Includes table
Physics · Electromagnetic Waves · MCQ
Q61.A flask contains Hydrogen and Argon in the ratio $2 : 1$ by mass. The temperature of the mixture is $3 0^{\circ} C$ . The ratio of average kinetic energy per molecule of the two gases ( $K$ argon/K hydrogen) is : (Given:…
Physics · Heat and Thermodynamics · MCQ
Q62. $6Ω$ battery connected to a coil of resistance $6Ω$ through a switch, drives a constant current in the circuit. The switch is opened in $20 V$ . The emf induced across the coil is $20 V$ . The inductance…
Physics · Electromagnetic Induction · MCQ
Q63.An electron in a hydrogen atom revolves around its nucleus with a speed of $6.76 \times 1 0^{6} ms^{- 1}$ in an orbit of radius $0.52 A^{\circ}$ . The magnetic field produced at the nucleus of the hydrogen atom is …
Physics · Magnetics · Numerical
Q64.The fundamental frequency of vibration of a string stretched between two rigid support is $18 g$ . The mass of the string is $20 g / m$ and its linear mass density is $20 g / m$ . The speed of the…
Physics · Waves · Numerical
Q65.In the given figure the total charge stored in the combination of capacitors is $100 μ C$ . The value of ' $x$ ' is . Includes diagram
Physics · Capacitor · Numerical
Q66.As per given figure $C$ and $C$ are the first, second and third excited energy levels of hydrogen atom respectively. If the ratio of the two wavelengths $($ i.e. $\frac{λ _{1}}{λ _{2}})$ is $\frac{7}{4 n}$ … Includes diagram
Physics · Atoms and Nuclei · Numerical
Q67.The refractive index of a transparent liquid filled in an equilateral hollow prism is $2$ . The angle of minimum deviation for the liquid will be $^{\circ}$ .
Physics · Geometrical Optics · Numerical
Q68.A block of mass $x$ is moving along $x$ -axis under the action of force $F = 5 x N$ . The work done by the force in moving the block from $x = 2 m$ to $4 m$ will be J.
Physics · Work Power and Energy · Numerical
Q69.A network of four resistances is connected to $A$ battery, as shown in figure. The magnitude of voltage difference between the points $A$ and $B$ is $V$ . Includes diagram
Physics · Current Electricity · Numerical
Q70.A $210 rpm$ long metallic rod is rotated with $210 rpm$ about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic…
Physics · Electromagnetic Induction · Numerical
Q71.There is an air bubble of radius $0.075 Nm^{- 1}$ in a liquid of surface tension $0.075 Nm^{- 1}$ and density $1000 kg m^{- 3}$ at a depth of $10 cm$ below the free surface. The amount by which the…
Physics · Properties of Matter · Numerical
Q72.A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively $(k_{sph} : k_{cyl})$ is $2 : x$ . The…
Physics · Rotational Motion · Numerical