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2023 · 24 Jan · Shift 2

73 questions · JEE Main

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2023 · 24 Jan · Shift 2

2023 · 24 Jan · Shift 2

73 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics29 questions

Structure of AtomChemistry · 1 questions HydrocarbonsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions ElectrochemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 3 questions D and F Block ElementsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 2 questions P Block ElementsChemistry · 2 questions BiomoleculesChemistry · 1 questions ThermodynamicsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions FunctionsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Vector AlgebraMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions CircleMathematics · 1 questions Differential EquationsMathematics · 1 questions StatisticsMathematics · 1 questions Complex NumbersMathematics · 1 questions DifferentiationMathematics · 1 questions Definite IntegrationMathematics · 2 questions Sets and RelationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Binomial TheoremMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Area Under the CurvesMathematics · 1 questions ProbabilityMathematics · 1 questions Electronic DevicesPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions MagneticsPhysics · 2 questions Current ElectricityPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions GravitationPhysics · 3 questions Heat and ThermodynamicsPhysics · 2 questions Geometrical OpticsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions Properties of MatterPhysics · 3 questions ElectrostaticsPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Vector AlgebraPhysics · 1 questions Circular MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions CapacitorPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions

Q1.The number of s-electrons present in an ion with 55 protons in its unipositive state is
Chemistry · Structure of Atom · MCQ
Q2.Find out the major products from the following reactions. Includes diagram
Chemistry · Hydrocarbons · MCQ
Q3.What is the number of unpaired electron(s) in the highest occupied molecular orbital of the following species : $N_{2}; N_{2}^{+}; O_{2}; O_{2}^{+}$ ?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4.Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Benzene is more stable than hypothetical cyclohexatriene Reason R : The delocalised $π$ electron cloud is attracted more…
Chemistry · Basics of Organic Chemistry · MCQ
Q5.Choose the correct representation of conductometric titration of benzoic acid vs sodium hydroxide.
Chemistry · Electrochemistry · MCQ
Q6.Given below are two statements : In the light of the above statements, choose the correct answer from the options given below: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.Choose the correct colour of the product for the following reaction. Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.Which one amongst the following are good oxidizing agents? A. Sm $^{2 +}$ B. Ce $^{2 +}$ C. Ce $^{4 +}$ D. Tb $^{4 +}$ Choose the most appropriate answer from the options given below :
Chemistry · D and F Block Elements · MCQ
Q9.A student has studied the decomposition of a gas AB $_{3}$ at 25 $^{\circ}$ C. He obtained the following data. The order of the reaction is Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q10.The hybridization and magnetic behaviour of cobalt ion in $[Co (N H_{3})_{6}]^{3 +}$ complex, respectively is :
Chemistry · Coordination Compounds · MCQ
Q11. $K_{2} C r_{2} O_{7}$ paper acidified with dilute $H_{2} S O_{4}$ turns green when exposed to :
Chemistry · P Block Elements · MCQ
Q12.Which will undergo deprotonation most readily in the basic medium? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q13.Which of the following cannot be explained by crystal field theory?
Chemistry · Coordination Compounds · MCQ
Q14.Given below are two statements: Statement I : Pure Aniline and other arylamines are usually colourless. Statement II : Arylamines get coloured on storage due to atmospheric reduction. In the light of the above statements, choose the most…
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.Total number of tripeptides possible by mixing of valine and proline is
Chemistry · Biomolecules · Numerical
Q16.One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is J (nearest integer) Given ; $lo g 2 = 0.3 ln 10 = 2.3$ Includes diagram
Chemistry · Thermodynamics · Numerical
Q17.Maximum number of isomeric monochloro derivatives which can be obtained from 2,2,5,5-tetramethylhexane by chlorination is
Chemistry · Hydrocarbons · Numerical
Q18.Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s from the following is . A. $T_{4} > T_{3} > T_{2} > T_{1}$ B. The black body consists… Includes diagram
Chemistry · Thermodynamics · Numerical
Q19.Sum of $π$ -bonds present in peroxodisulphuric acid and pyrosulphuric acid is
Chemistry · P Block Elements · Numerical
Q20.The number of units, which are used to express concentration of solutions from the following is Mass percent, Mole, Mole fraction, Molarity, ppm, Molality
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q21.The total pressure observed by mixing two liquids A and B is 350 mm Hg when their mole fractions are 0.7 and 0.3 respectively. The total pressure becomes 410 mm Hg if the mole fractions are changed to 0.2 and 0.8 respectively for A and B.…
Chemistry · Solutions · Numerical
Q22.If the pKa of lactic acid is 5, then the pH of 0.005 M calcium lactate solution at 25 $^{\circ}$ C is $\times$ 10 $^{- 1}$ (Nearest integer) Includes diagram
Chemistry · Ionic Equilibrium · Numerical
Q23.Let $f (x)$ be a function such that $f (x + y) = f (x) . f (y)$ for all $x, y \in N$ . If $f (1) = 3$ and $k = 1 \sum n f (k) = 3279$ , then the value of n is
Mathematics · Functions · MCQ
Q24.The number of real solutions of the equation $3 (x^{2} + \frac{1}{x ^{2}}) - 2 (x + \frac{1}{x}) + 5 = 0$ , is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.The number of integers, greater than 7000 that can be formed, using the digits 3, 5, 6, 7, 8 without repetition is :
Mathematics · Permutations and Combinations · MCQ
Q26.Let $α = 4 i + 3 j + 5 k$ and $β = i + 2 j - 4 k$ . Let $β_{1}$ be parallel to $α$ and $β_{2}$ …
Mathematics · Vector Algebra · MCQ
Q27.If the system of equations $x + 2 y + 3 z = 34 x + 3 y - 4 z = 48 x + 4 y - λ z = 9 + μ$ has infinitely many solutions, then the ordered pair ( $λ, μ$ ) is equal to :
Mathematics · Matrices and Determinants · MCQ
Q28.The set of all values of $a$ for which $x \to a lim ([x - 5] - [2 x + 2]) = 0$ , where [ $α$ ] denotes the greatest integer less than or equal to $α$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q29.The locus of the mid points of the chords of the circle $C_{1} : (x - 4)^{2} + (y - 5)^{2} = 4$ which subtend an angle $θ_{i}$ at the centre of the circle $C_{1}$ , is a circle of radius $r_{i}$ . If $θ_{1} = \frac{π}{3}, θ_{3} = \frac{2 π}{3}$ …
Mathematics · Circle · MCQ
Q30.Let $y = y (x)$ be the solution of the differential equation $(x^{2} - 3 y^{2}) d x + 3 x y d y = 0, y (1) = 1$ . Then $6 y^{2} (e)$ is equal to
Mathematics · Differential Equations · MCQ
Q31.If $f (x) = \frac{2 ^{2 x}}{2 ^{2 x} + 2}, x \in R$ , then $f (\frac{1}{2023}) + f (\frac{2}{2023}) + ... + f (\frac{2022}{2023})$ is equal to
Mathematics · Functions · MCQ
Q32.The number of square matrices of order 5 with entries from the set {0, 1}, such that the sum of all the elements in each row is 1 and the sum of all the elements in each column is also 1, is :
Mathematics · Permutations and Combinations · MCQ
Q33.Let the six numbers $a_{1}, a_{2}, a_{3}, a_{4}, a_{5}, a_{6}$ , be in A.P. and $a_{1} + a_{3} = 10$ . If the mean of these six numbers is $\frac{19}{2}$ and their variance is $σ^{2}$ , then 8 $σ^{2}$ is equal to :
Mathematics · Statistics · MCQ
Q34.The value of $(\frac{1 + s i n \frac{2 π}{9} + i c o s \frac{2 π}{9}}{1 + s i n \frac{2 π}{9} - i c o s \frac{2 π}{9}})^{3}$ is
Mathematics · Complex Numbers · MCQ
Q35.If $f (x) = x^{3} - x^{2} f^{'} (1) + x f^{''} (2) - f^{'''} (3), x \in R$ , then
Mathematics · Differentiation · MCQ
Q36. $\frac{3 2}{4} \int \frac{3 3}{4} \frac{48}{9 - 4 x ^{2}} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q37.The minimum number of elements that must be added to the relation R = {(a, b), (b, c), (b, d)} on the set {a, b, c, d} so that it is an equivalence relation, is .
Mathematics · Sets and Relations · Numerical
Q38.If the shortest between the lines $\frac{x + 6}{2} = \frac{y - 6}{3} = \frac{z - 6}{4}$ and $\frac{x - λ}{3} = \frac{y - 2 6}{4} = \frac{z + 2 6}{5}$ is 6, then the square of sum of…
Mathematics · 3D Geometry · Numerical
Q39.Let $a = i + 2 j + λ k, b = 3 i - 5 j - λ k, a . c = 7, 2 b . c + 43 = 0, a \times c = b \times c$ …
Mathematics · Vector Algebra · Numerical
Q40.Let the sum of the coefficients of the first three terms in the expansion of $(x - \frac{3}{x ^{2}})^{n}, x e 0. n \in N$ , be 376. Then the coefficient of $x^{4}$ is .
Mathematics · Binomial Theorem · Numerical
Q41.The equations of the sides AB, BC and CA of a triangle ABC are : $2 x + y = 0, x + p y = 21 a, (a \pm 0)$ and $x - y = 3$ respectively. Let P(2, a) be the centroid of $Δ$ ABC. Then (BC) $^{2}$ is equal to .
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q42.Let $f$ be $a$ differentiable function defined on $[0, \frac{π}{2}]$ such that $f (x) > 0$ and $f (x) + \int_{0}^{x} f (t) 1 - (lo g_{e} f (t))^{2} d t = e, \forall x \in [0, \frac{π}{2}]$ . Then $(6 lo g_{e} f (\frac{π}{6}))^{2}$ …
Mathematics · Definite Integration · Numerical
Q43.If the area of the region bounded by the curves $y^{2} - 2 y = - x, x + y = 0$ is A, then 8 A is equal to
Mathematics · Area Under the Curves · Numerical
Q44.Three urns A, B and C contain 4 red, 6 black; 5 red, 5 black; and $λ$ red, 4 black balls respectively. One of the urns is selected at random and a ball is drawn. If the ball drawn is red and the probability that it is drawn from urn…
Mathematics · Probability · Numerical
Q45.The logic gate equivalent to the given circuit diagram is : Includes diagram
Physics · Electronic Devices · MCQ
Q46.The velocity time graph of a body moving in a straight line is shown in the figure. The ratio of displacement to distance travelled by the body in time 0 to 10s is : Includes diagram
Physics · Motion in A Straight Line · MCQ
Q47.A long solenoid is formed by winding 70 turns cm $^{- 1}$ . If 2.0 A current flows, then the magnetic field produced inside the solenoid is ( $μ_{0} = 4 π \times 1 0^{- 7}$ TmA $^{- 1}$ )
Physics · Magnetics · MCQ
Q48.A cell of emf 90 V is connected across series combination of two resistors each of 100 $Ω$ resistance. A voltmeter of resistance 400 $Ω$ is used to measure the potential difference across each resistor. The reading of the…
Physics · Current Electricity · MCQ
Q49.An $α$ -particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in case of their de-Broglie wavelength:
Physics · Dual Nature of Radiation · MCQ
Q50.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : A pendulum clock when taken to Mount Everest becomes fast. Reason R : The value of g (acceleration due to gravity) is less…
Physics · Gravitation · MCQ
Q51.Let $γ_{1}$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $γ_{2}$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid…
Physics · Heat and Thermodynamics · MCQ
Q52.When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called :
Physics · Geometrical Optics · MCQ
Q53.In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; $T_{3} > T_{2} > T_{1}$ as :
Physics · Heat and Thermodynamics · MCQ
Q54.The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by $E_{x} = E_{o} sin (kz - ω t) B_{y} = B_{o} sin (kz - ω t)$ Then the correct relation between E…
Physics · Electromagnetic Waves · MCQ
Q55.A metallic rod of length 'L' is rotated with an angular speed of ' $ω$ ' normal to a uniform magnetic field 'B' about an axis passing through one end of rod as shown in figure. The induced emf will be : Includes diagram
Physics · Electromagnetic Induction · MCQ
Q56.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Steel is used in the construction of buildings and bridges. Reason R : Steel is more elastic and its elastic limit is high.…
Physics · Properties of Matter · MCQ
Q57.If the distance of the earth from Sun is 1.5 $\times$ 10 $^{6}$ km. Then the distance of an imaginary planet from Sun, if its period of revolution is 2.83 years is :
Physics · Gravitation · MCQ
Q58.The electric potential at the centre of two concentric half rings of radii R $_{1}$ and R $_{2}$ , having same linear charge density $λ$ is : Includes diagram
Physics · Electrostatics · MCQ
Q59.Given below are two statements: Statement I : Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface. Statement II : Acceleration due to earth's gravity is same at a height 'h' and depth 'd' from…
Physics · Gravitation · MCQ
Q60.A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h = 4 $\times$ 10 $^{- 15}$ eVs) :
Physics · Atoms and Nuclei · MCQ
Q61.The frequency ( $u$ ) of an oscillating liquid drop may depend upon radius ( $r$ ) of the drop, density ( $ρ$ ) of liquid and the surface tension (s) of the liquid as $u = r^{a} ρ^{b} s^{c}$ . The values of a, b and c respectively are
Physics · Properties of Matter · MCQ
Q62.If two vectors $P = i + 2 m j + m k$ and $Q = 4 i - 2 j + m k$ are perpendicular to each other. Then, the value of m will be :
Physics · Vector Algebra · MCQ
Q63.A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a circular path on a smooth horizontal surface with constant angular speed 5 rad/s. Then…
Physics · Circular Motion · MCQ
Q64.A convex lens of refractive index 1.5 and focal length 18cm in air is immersed in water. The change in focal length of the lens will be cm. (Given refractive index of water $= \frac{4}{3}$ )
Physics · Geometrical Optics · Numerical
Q65.A body of mass 1kg begins to move under the action of a time dependent force $F = (t i + 3 t^{2} j)$ N, where $i$ and $j$ are the unit vectors along $x$ and $y$ axis. The…
Physics · Work Power and Energy · Numerical
Q66.The energy released per fission of nucleus of $^{240}$ X is 200 MeV. The energy released if all the atoms in 120g of pure $^{240}$ X undergo fission is $\times$ 10 $^{25}$ MeV. (Given $N_{A} = 6 \times 1 0^{23}$ )
Physics · Atoms and Nuclei · Numerical
Q67.A uniform solid cylinder with radius R and length L has moment of inertia I $_{1}$ , about the axis of the cylinder. A concentric solid cylinder of radius $R^{'} = \frac{R}{2}$ and length $L^{'} = \frac{L}{2}$ is carved out of the original cylinder. If…
Physics · Rotational Motion · Numerical
Q68.If a copper wire is stretched to increase its length by 20%. The percentage increase in resistance of the wire is %.
Physics · Current Electricity · Numerical
Q69.A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant 3.5. Then the capacitance becomes $\frac{x}{4}$ …
Physics · Capacitor · Numerical
Q70.A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13 cm is carrying a current of 2 A. The loop is in a uniform magnetic field of magnitude 0.75 T whose direction is parallel to the current in the 13…
Physics · Magnetics · Numerical
Q71.A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise and density 1.5 g/cc. Viscous force on the ball when it attains constant velocity is $3696 \times 1 0^{- x}$ N. The value of $x$ …
Physics · Properties of Matter · Numerical
Q72.A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass is increased by 3 kg the period of the oscillation increases by one second, the value of mass m is kg.
Physics · Simple Harmonic Motion · Numerical
Q73.Three identical resistors with resistance R = 12 $Ω$ and two identical inductors with self inductance L = 5 mH are connected to an ideal battery with emf of 12 V as shown in figure. The current through the battery long after the… Includes diagram
Physics · Electromagnetic Induction · Numerical