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2023 · 6 Apr · Shift 1

70 questions · JEE Main

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2023 · 6 Apr · Shift 1

2023 · 6 Apr · Shift 1

70 questions · JEE Main

Chemistry22 questions Mathematics20 questions Physics28 questions

Coordination CompoundsChemistry · 2 questions ElectrochemistryChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Compounds Containing NitrogenChemistry · 3 questions Redox ReactionsChemistry · 2 questions Chemical EquilibriumChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions BiomoleculesChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions HydrocarbonsChemistry · 1 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 2 questions SolutionsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions 3D GeometryMathematics · 1 questions StatisticsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Binomial TheoremMathematics · 1 questions DifferentiationMathematics · 1 questions Differential EquationsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions CircleMathematics · 2 questions Sets and RelationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Circular MotionPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Electronic DevicesPhysics · 2 questions Motion in A PlanePhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Properties of MatterPhysics · 2 questions GravitationPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 2 questions MagneticsPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Atoms and NucleiPhysics · 2 questions ElectrostaticsPhysics · 1 questions Rotational MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Current ElectricityPhysics · 1 questions CapacitorPhysics · 1 questions Alternating CurrentPhysics · 1 questions

Q1.Given below are two statements, one is labelled as Assertion $A$ and the other is labelled as Reason $R$ . Assertion A: The spin only magnetic moment value for $[Fe (CN)_{6}]^{3 -}$ is $1.74 BM$ …
Chemistry · Coordination Compounds · MCQ
Q2.The standard electrode potential of $M^{+} / M$ in aqueous solution does not depend on
Chemistry · Electrochemistry · MCQ
Q3.For the reaction The correct statement is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q4.The major products A and B from the following reactions are: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q5.Which of the following options are correct for the reaction $2 [Au (CN)_{2}]^{-} (aq) + Zn (s) \to 2 Au (s) + [Zn (CN)_{4}]^{2 -} (aq)$ …
Chemistry · Redox Reactions · MCQ
Q6.For a concentrated solution of a weak electrolyte ( $K_{eq} =$ equilibrium constant) $A_{2} B_{3}$ of concentration ' $c$ ', the degree of dissociation ' $α$ ' is :
Chemistry · Chemical Equilibrium · MCQ
Q7.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q8.The difference between electron gain enthalpies will be maximum between :
Chemistry · Periodic Table and Periodicity · MCQ
Q9.The major product formed in the following reaction is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Biomolecules · MCQ
Q11.Compound $P$ is neutral, $Q$ gives effervescence with $NaHCO_{3}$ while $R$ reacts with Hinsbergs reagent to give solid soluble in $NaOH$ . Compound $P$ is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Strong reducing and oxidizing agents among the following, respectively, are :
Chemistry · D and F Block Elements · MCQ
Q13.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q14.Number of bromo derivatives obtained on treating ethane with excess of $Br_{2}$ in diffused sunlight is
Chemistry · Hydrocarbons · Numerical
Q15.The wavelength of an electron of kinetic energy $4.50 \times 1 0^{- 29}$ J is $\times 1 0^{- 5}$ m. (Nearest integer) Given : mass of electron is $9 \times 1 0^{- 31}$ kg, h $= 6.6 \times 1 0^{- 34}$ J s
Chemistry · Structure of Atom · Numerical
Q16.The number of species from the following which have square pyramidal structure is $PF_{5}, BrF_{4}^{-}, IF_{5}, BrF_{5}, XeOF_{4}, ICl_{4}^{-}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.Consider the graph of Gibbs free energy G vs Extent of reaction. The number of statement/s from the following which are true with respect to points (a), (b) and (c) is A. Reaction is spontaneous at (a) and (b) B.… Includes diagram
Chemistry · Thermodynamics · Numerical
Q18.Mass of Urea $(NH_{2} CONH_{2})$ required to be dissolved in $25%$ of water in order to reduce the vapour pressure of water by $25%$ is g. (Nearest integer) Given:…
Chemistry · Solutions · Numerical
Q19.The value of $A ⇌ B$ for the reaction $A ⇌ B$ at is . (Nearest integer) Given: $Δ H^{\circ} = - 54.07 kJ mol^{- 1} Δ S^{\circ} = 10 J K^{- 1} mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q20.Number of ambidentate ligands in a representative metal complex $[M (en) (SCN)_{4}]$ is . [en = ethylenediamine]
Chemistry · Coordination Compounds · Numerical
Q21.If 5 moles of $BaCl_{2}$ is mixed with 2 moles of $Na_{3} PO_{4}$ , the maximum number of moles of $Ba_{3} (PO_{4})_{2}$ formed is (Nearest integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.In ammonium - phosphomolybdate, the oxidation state of Mo is +
Chemistry · Redox Reactions · Numerical
Q23.Let $A = {x \in R : [x + 3] + [x + 4] \leq 3},$ $B = {x \in R : 3^{x} (r = 1 \sum \infty \frac{3}{10 ^{r}})^{x - 3} < 3^{- 3 x}},$ where [t] denotes greatest integer function. Then,
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.If the system of equations $x + y + a z = b 2 x + 5 y + 2 z = 6 x + 2 y + 3 z = 3$ has infinitely many solutions, then $2 a + 3 b$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q25.The straight lines $l_{1}$ and $l_{2}$ pass through the origin and trisect the line segment of the line L : $9 x + 5 y = 45$ between the axes. If $m_{1}$ and $m_{2}$ are the slopes of the lines $l_{1}$ …
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q26.One vertex of a rectangular parallelopiped is at the origin $O$ and the lengths of its edges along $z$ and $z$ axes are $5$ and $5$ units respectively. Let $P$ be the vertex $(3, 4, 5)$ . Then the shortest distance…
Mathematics · 3D Geometry · MCQ
Q27.The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and $σ^{2}$ respectively. If the variance of all the 30 numbers in the two sets is 13 , then $σ^{2}$ …
Mathematics · Statistics · MCQ
Q28.Let $A = [a_{ij}]_{2 \times 2}$ , where $a_{ij} e q 0$ for all $A^{2} = I$ and $A^{2} = I$ . Let a be the sum of all diagonal elements of $A$ and $b = ∣ A ∣$ …
Mathematics · Matrices and Determinants · MCQ
Q29.Let $5 f (x) + 4 f (\frac{1}{x}) = \frac{1}{x} + 3, x > 0$ . Then $18 \int_{1}^{2} f (x) d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q30.Let $I (x) = \int \frac{x ^{2} ( x s e c ^{2} x + t a n x )}{( x t a n x + 1 ) ^{2}} d x$ . If $I (0) = 0$ , then $I (\frac{π}{4})$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q31.Let $a = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}, b = \hat{i} - 2 \hat{j} - 2 \hat{k}$ and $c = - \hat{i} + 4 \hat{j} + 3 \hat{k}$ . If $d$ is a vector perpendicular to both $b$ and $c$ , and $a \cdot d = 18$ , then $∣ a \times d ∣^{2}$ …
Mathematics · Vector Algebra · MCQ
Q32.Let $a_{1}, a_{2}, a_{3}, \dots, a_{n}$ be $n$ positive consecutive terms of an arithmetic progression. If $d > 0$ is its common difference, then $lim_{n \to \infty} \frac{d}{n} (\frac{1}{a _{1} + a _{2}} + \frac{1}{a _{2} + a _{3}} + \dots\dots\dots + \frac{1}{a _{n - 1} + a _{n}})$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q33.The sum of all the roots of the equation $x^{2} - 8 x + 15 - 2 x + 7 = 0$ is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q34.If the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of $(42 + \frac{1}{4 3})^{n}$ is $6 : 1$ , then the third term from the beginning is :
Mathematics · Binomial Theorem · MCQ
Q35.If $2 x^{y} + 3 y^{x} = 20$ , then $\frac{d y}{d x}$ at $(2, 2)$ is equal to :
Mathematics · Differentiation · MCQ
Q36.Let $y = y (x)$ be a solution of the differential equation $(x cos x) d y + (x y sin x + y cos x - 1) d x = 0, 0 < x < \frac{π}{2}$ . If $\frac{π}{3} y (\frac{π}{3}) = 3$ , then $\frac{π}{6} y^{''} (\frac{π}{6}) + 2 y^{'} (\frac{π}{6})$ …
Mathematics · Differential Equations · Numerical
Q37.If the area of the region $S = {(x, y) : 2 y - y^{2} \leq x^{2} \leq 2 y, x \geq y}$ is equal to $\frac{n + 2}{n + 1} - \frac{π}{n - 1}$ , then the natural number $n$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q38.Let the point $(p, p + 1)$ lie inside the region $E = {(x, y) : 3 - x \leq y \leq 9 - x^{2}, 0 \leq x \leq 3}$ . If the set of all values of $p$ is the interval $(a, b)$ , then $b^{2} + b - a^{2}$ is equal to …
Mathematics · Circle · Numerical
Q39.Let $a \in Z$ and $[t]$ be the greatest integer $f (x) = [a + 13 sin x], x \in (0, π)$ . Then the number of points, where the function $f (x) = [a + 13 sin x], x \in (0, π)$ is not differentiable, is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.Let $A = {1, 2, 3, 4, \dots ., 10}$ and $B = {0, 1, 2, 3, 4}$ . The number of elements in the relation $R = {(a, b) \in A \times A : 2 (a - b)^{2} + 3 (a - b) \in B}$ is .
Mathematics · Sets and Relations · Numerical
Q41.A circle passing through the point $P (α, β)$ in the first quadrant touches the two coordinate axes at the points $A$ and $B$ . The point $P$ is above the line $A B$ . The point $Q$ on the line segment $A B$ is the foot of…
Mathematics · Circle · Numerical
Q42.The number of ways of giving 20 distinct oranges to 3 children such that each child gets at least one orange is .
Mathematics · Permutations and Combinations · Numerical
Q43.A particle is moving with constant speed in a circular path. When the particle turns by an angle $9 0^{\circ}$ , the ratio of instantaneous velocity to its average velocity is $π : x 2$ . The value of $x$ will be -
Physics · Circular Motion · MCQ
Q44.The induced emf can be produced in a coil by A. moving the coil with uniform speed inside uniform magnetic field B. moving the coil with non uniform speed inside uniform magnetic field C. rotating the coil inside the uniform magnetic field…
Physics · Electromagnetic Induction · MCQ
Q45.Name the logic gate equivalent to the diagram attached Includes diagram
Physics · Electronic Devices · MCQ
Q46.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : When a body is projected at an angle $4 5^{\circ}$ , it's range is maximum. Reason R : For maximum range, the value of $sin 2 θ$ …
Physics · Motion in A Plane · MCQ
Q47.A source supplies heat to a system at the rate of $200 W$ . If the system performs work at a rate of $200 W$ . The rate at which internal energy of the system increases is
Physics · Heat and Thermodynamics · MCQ
Q48.A small ball of mass $M$ and density $ρ$ is dropped in a viscous liquid of density $ρ_{0}$ . After some time, the ball falls with a constant velocity. What is the viscous force on the ball ?
Physics · Properties of Matter · MCQ
Q49.A small block of mass $7.5 N / m$ is tied to a spring of spring constant $7.5 N / m$ and length $20 cm$ . The other end of spring is fixed at a particular point A. If the block moves in a circular path on…
Physics · Circular Motion · MCQ
Q50.Given below are two statements : one is labelled as Assertion $A$ and the other is labelled as Reason $R$ . Assertion A : Earth has atmosphere whereas moon doesn't have any atmosphere. Reason R : The escape velocity on…
Physics · Gravitation · MCQ
Q51.The kinetic energy of an electron, $α$ -particle and a proton are given as $4 K, 2 K$ and $K$ respectively. The de-Broglie wavelength associated with electron $(λ e), α$ -particle $((λ α)$ …
Physics · Dual Nature of Radiation · MCQ
Q52.A monochromatic light wave with wavelength $λ_{1}$ and frequency $v_{1}$ in air enters another medium. If the angle of incidence and angle of refraction at the interface are $4 5^{\circ}$ and $3 0^{\circ}$ respectively, then the…
Physics · Geometrical Optics · MCQ
Q53.A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is
Physics · Magnetics · MCQ
Q54.A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing $W$ on earth will weigh on that planet:
Physics · Gravitation · MCQ
Q55.A mass $m$ is attached to two strings as shown in figure. The spring constants of two springs are $K_{1}$ and $K_{2}$ . For the frictionless surface, the time period of oscillation of mass $m$ is : Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q56.Two resistances are given as $R_{1} = (10 \pm 0.5) Ω$ and $R_{2} = (15 \pm 0.5) Ω$ . The percentage error in the measurement of equivalent resistance when they are connected in parallel is -
Physics · Units and Measurements · MCQ
Q57.For the plane electromagnetic wave given by $E = E_{0} sin (ω t - k x)$ and $B = B_{0} sin (ω t - k x)$ , the ratio of average electric energy density to average magnetic energy density is
Physics · Electromagnetic Waves · MCQ
Q58.The resistivity $(ρ)$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour :
Physics · Electronic Devices · MCQ
Q59.The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is : Includes diagram
Physics · Atoms and Nuclei · MCQ
Q60.The number of air molecules per cm $^{3}$ increased from $3 \times 1 0^{19}$ to $12 \times 1 0^{19}$ . The ratio of collision frequency of air molecules before and after the increase in number respectively is:
Physics · Heat and Thermodynamics · MCQ
Q61.For a uniformly charged thin spherical shell, the electric potential (V) radially away from the centre (O) of shell can be graphically represented as - Includes diagram
Physics · Electrostatics · MCQ
Q62.The radius of fifth orbit of the $Li^{++}$ is $\times 1 0^{- 12} m$ . Take: radius of hydrogen atom $= 0.51 A o$
Physics · Atoms and Nuclei · Numerical
Q63.Two identical solid spheres each of mass $10 cm$ and radii $40 cm$ are fixed at the ends of a light rod. The separation between the centres of the spheres is $40 cm$ . The moment of inertia of the system about…
Physics · Rotational Motion · Numerical
Q64.A steel rod has a radius of $2.0 m$ and a length of $62.8 kN$ . A force of $2.0 \times 1 0^{11} N / m^{2}$ stretches it along its length. Young's modulus of steel is $2.0 \times 1 0^{11} N / m^{2}$ . The longitudinal…
Physics · Properties of Matter · Numerical
Q65.Two identical circular wires of radius $2 A$ and carrying current $2 A$ are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wires is … Includes diagram
Physics · Magnetics · Numerical
Q66.A pole is vertically submerged in swimming pool, such that it gives a length of shadow $3 0^{\circ}$ within water when sunlight is incident at angle of $3 0^{\circ}$ with the surface of water. If swimming pool is filled to a height of $1.5 m$ …
Physics · Geometrical Optics · Numerical
Q67.A particle of mass $2 x$ moves in a straight line with retardation $2 x$ , where $x$ is the displacement in SI units. Its loss of kinetic energy for above displacement is $(\frac{10}{x})^{- n}$ J. The value of $n$ …
Physics · Work Power and Energy · Numerical
Q68.The length of a metallic wire is increased by $20%$ and its area of cross section is reduced by $4%$ . The percentage change in resistance of the metallic wire is .
Physics · Current Electricity · Numerical
Q69.A parallel plate capacitor with plate area $A$ and plate separation $d$ is filled with a dielectric material of dielectric constant $K = 4$ . The thickness of the dielectric material is $x$ , where $x < d$ . Let $C_{1}$ … Includes diagram
Physics · Capacitor · Numerical
Q70.An ideal transformer with purely resistive load operates at $120 V$ on the primary side. It supplies electrical energy to a number of nearby houses at $120 V$ . The average rate of energy consumption in the houses served…
Physics · Alternating Current · Numerical