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2025 · 2 Apr · Shift 2

75 questions · JEE Main

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2025 · 2 Apr · Shift 2

2025 · 2 Apr · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

HydrocarbonsChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions BiomoleculesChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions Salt AnalysisChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions P Block ElementsChemistry · 1 questions SolutionsChemistry · 2 questions Coordination CompoundsChemistry · 3 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions StatisticsMathematics · 1 questions Definite IntegrationMathematics · 3 questions Permutations and CombinationsMathematics · 1 questions ParabolaMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions 3D GeometryMathematics · 2 questions Trigonometric Functions and EquationsMathematics · 1 questions Sets and RelationsMathematics · 1 questions FunctionsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Sequences and SeriesMathematics · 2 questions EllipseMathematics · 1 questions Binomial TheoremMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Differential EquationsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Rotational MotionPhysics · 2 questions MagneticsPhysics · 2 questions ElectrostaticsPhysics · 3 questions Units and MeasurementsPhysics · 2 questions WavesPhysics · 1 questions Geometrical OpticsPhysics · 3 questions Circular MotionPhysics · 1 questions Electronic DevicesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Properties of MatterPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Laws of MotionPhysics · 1 questions GravitationPhysics · 1 questions

Q1.Given below are two statements : Statement (I) : Neopentane forms only one monosubstituted derivative. Statement (II) : Melting point of neopentane is higher than n-pentane. In the light of the above statements, choose the most appropriate…
Chemistry · Hydrocarbons · MCQ
Q2.Match List - I with List - II. $Choose the correct answer from the options given below :$ Includes table Includes diagram
Chemistry · Hydrocarbons · MCQ
Q3.Electronic configuration of four elements A, B, C and D are given below : (A) $1 s^{2} 2 s^{2} 2 p^{3}$ (B) $1 s^{2} 2 s^{2} 2 p^{4}$ (C) $1 s^{2} 2 s^{2} 2 p^{5}$ (D) $1 s^{2} 2 s^{2} 2 p^{2}$ Which of the following is the correct order of increasing…
Chemistry · Periodic Table and Periodicity · MCQ
Q4.A tetrapeptide, " $x$ " on complete hydrolysis produced glycine (Gly), alanine (Ala), valine (Val), leucine (Leu) in equimolar proportion each. The number of tetrapeptides (sequences) possible involving each of these amino acids is :
Chemistry · Biomolecules · MCQ
Q5.Which among the following molecules is (a) involved in $sp^{3} d$ hybridization, (b) has different bond lengths and (c) has lone pair of electrons on the central atom?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.In 3,3-dimethylhex-1-en-4-yne, there are $sp^{3}$ , $sp^{2}$ and sp hybridised carbon atoms respectively.
Chemistry · Basics of Organic Chemistry · MCQ
Q7.In Dumas' method for estimation of nitrogen, 0.5 gram of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg pressure. The percentage composition of nitrogen in the compound (Aqueous tension at $300 K = 15 mm Hg$ …
Chemistry · Practical Organic Chemistry · MCQ
Q8.Which of the following statements are true? (A) The subsidiary quantum number $l$ describes the shape of the orbital occupied by the electron. (B) is the boundary surface diagram of the $2 p_{x}$ orbital. (C) The + and - signs in… Includes diagram
Chemistry · Structure of Atom · MCQ
Q9.Arrange the following in order of magnitude of work done by the system/on the system at constant temperature. (a) $∣ w_{reversible} ∣$ for expansion in infinite stages. (b) $∣ w_{irreversible} ∣$ for…
Chemistry · Thermodynamics · MCQ
Q10.When a concentrated solution of sulphanilic acid and 1-naphthylamine is treated with nitrous acid $(273 K)$ and acidified with acetic acid, the mass $(g)$ of 0.1 mole of product formed is : (Given molar mass in $g mol^{- 1} H : 1, C : 12, N : 14, O : 16, S : 32$ …
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.Which of the following graphs correctly represents the variation of thermodynamic properties of Haber's process?
Chemistry · Thermodynamics · MCQ
Q12.Reactant A converts to product D through the given mechanism (with the net evolution of heat): A → B slow; ΔH = +ve B → C fast; ΔH = -ve C → D fast; ΔH = -ve Which of the following represents the above reaction mechanism?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q13.Formation of $Na_{4} [Fe (CN)_{5} NOS]$ , a purple coloured complex formed by addition of sodium nitroprusside in sodium carbonate extract of salt indicates the presence of :
Chemistry · Salt Analysis · MCQ
Q14.Consider the following reactions. From these reactions which reaction will give carboxylic acid as a major product ? (A) $R - C \equiv N (i) H + / H_{2} O mild condition$ … Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q15.The nature of oxide $(TeO_{2})$ and hydride $(TeH_{2})$ formed by Te , respectively are :
Chemistry · P Block Elements · MCQ
Q16.' $x$ ' g of NaCl is added to water in a beaker with a lid. The temperature of the system is raised from $1^{\circ} C$ to $2 5^{\circ} C$ . Which out of the following plots, is best suited for the change in the molarity $(M)$ …
Chemistry · Solutions · MCQ
Q17.The type of hybridization and the magnetic property of $[MnCl_{6}]^{3 -}$ are,
Chemistry · Coordination Compounds · MCQ
Q18. $Match List - I with List - II.$ $Choose the correct answer from the options given below :$ Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q19.The d-orbital electronic configuration of the complex among $[Co (en)_{3}]^{3 +}, [CoF_{6}]^{3 -}$ , $[Mn (H_{2} O)_{6}]^{2 +}$ and $[Zn (H_{2} O)_{6}]^{2 +}$ …
Chemistry · Coordination Compounds · MCQ
Q20.Consider the following chemical equilibrium of the gas phase reaction at a constant temperature : $A (g) ⇌ B (g) + C (g)$ If $p$ being the total pressure, $K_{p}$ is the…
Chemistry · Chemical Equilibrium · MCQ
Q21.For the reaction $A \to B$ the following graph was obtained. The time required (in seconds) for the concentration of A to reduce to $2.5 g L^{- 1}$ (if the initial concentration of A was $50 g L^{- 1}$ … Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.When 1 g each of compounds AB and $AB_{2}$ are dissolved in 15 g of water separately, they increased the boiling point of water by 2.7 K and 1.5 K respectively. The atomic mass of A (in $am u$ ) is $\times 1 0^{- 1}$ …
Chemistry · Solutions · Numerical
Q23.The spin-only magnetic moment value of $M^{n +}$ ion formed among $Ni, Zn, Mn$ and Cu that has the least enthalpy of atomisation is . (in nearest integer) Here n is…
Chemistry · Coordination Compounds · Numerical
Q24. $0.2% (w / v)$ solution of NaOH is measured to have resistivity $870.0 m Ω m$ . The molar conductivity of the solution will be $\times 1 0^{2} mS dm^{2} mol^{- 1}$ …
Chemistry · Electrochemistry · Numerical
Q25.Consider the above sequence of reactions. 151 g of 2-bromopentane is made to react. Yield of major product P is $80%$ whereas Q is $100%$ . Mass of product Q obtained is g. (Given molar mass in $g mol^{- 1} H : 1, C : 12, O : 16, Br : 80$ … Includes diagram
Chemistry · Haloalkanes and Haloarenes · Numerical
Q26.If the mean and the variance of $6, 4, a, 8, b, 12, 10, 13$ are 9 and 9.25 respectively, then $a + b + ab$ is equal to :
Mathematics · Statistics · MCQ
Q27.Let $f : [1, \infty) \to [2, \infty)$ be a differentiable function. If $10 \int_{1}^{1} f (t) dt = 5 x f (x) - x^{5} - 9$ for all $x ⩾ 1$ , then the value of $f (3)$ is :
Mathematics · Definite Integration · MCQ
Q28.The number of ways, in which the letters A, B, C, D, E can be placed in the 8 boxes of the figure below so that no row remains empty and at most one letter can be placed in a box, is : Includes diagram
Mathematics · Permutations and Combinations · MCQ
Q29.Let the point P of the focal chord PQ of the parabola $y^{2} = 16 x$ be $(1, - 4)$ . If the focus of the parabola divides the chord $P Q$ in the ratio $m : n, gcd (m, n) = 1$ , then $m^{2} + n^{2}$ is equal to :
Mathematics · Parabola · MCQ
Q30.If the system of equations $2 x + λ y + 3 z = 5 3 x + 2 y - z = 7 4 x + 5 y + μ z = 9$ has infinitely many solutions, then $(λ^{2} + μ^{2})$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q31.Let $A$ be a $3 \times 3$ real matrix such that $A^{2} (A - 2 I) - 4 (A - I) = O$ , where $I$ and $O$ are the identity and null matrices, respectively. If $A^{5} = α A^{2} + β A + γ I$ , where $γ$ , and $γ$ are real constants, then $α + β + γ$ …
Mathematics · Matrices and Determinants · MCQ
Q32. $I f x \to 0 lim \frac{c o s ( 2 x ) + a c o s ( 4 x ) - b}{x ^{4}} i s f ini t e, t h e n (a + b) i s e q u a l t o :$
Mathematics · Limits Continuity and Differentiability · MCQ
Q33.If the image of the point $P (1, 0, 3)$ in the line joining the points $A (4, 7, 1)$ and $B (3, 5, 3)$ is $Q (α, β, γ)$ , then $α + β + γ$ is equal to :
Mathematics · 3D Geometry · MCQ
Q34.If $θ ϵ [- \frac{7 π}{6}, \frac{4 π}{3}]$ , then the number of solutions of $3 cosec^{2} θ - 2 (3 - 1) cosec θ - 4 = 0$ , is equal to :
Mathematics · Trigonometric Functions and Equations · MCQ
Q35.Let $A = {1, 2, 3, \dots ., 100}$ and $R$ be a relation on $A$ such that $R = {(a, b) : a = 2 b + 1}$ . Let $(a_{1}$ , $a_{2}), (a_{2}, a_{3}), (a_{3}, a_{4}), \dots ., (a_{k}, a_{k + 1})$ be a sequence of…
Mathematics · Sets and Relations · MCQ
Q36.If the domain of the function $f (x) = \frac{1}{10 + 3 x - x ^{2}} + \frac{1}{x + ∣ x ∣}$ is $(a, b)$ , then $(1 + a)^{2} + b^{2}$ is equal to :
Mathematics · Functions · MCQ
Q37.Let the area of the triangle formed by a straight line $L : x + b y + c = 0$ with co-ordinate axes be 48 square units. If the perpendicular drawn from the origin to the line L makes an angle of $4 5^{\circ}$ with the…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q38.The line $L_{1}$ is parallel to the vector $a = - 3 \hat{i} + 2 \hat{j} + 4 \hat{k}$ and passes through the point $(7, 6, 2)$ and the line $L_{2}$ is parallel to the vector $b = 2 \hat{i} + \hat{j} + 3 \hat{k}$ …
Mathematics · 3D Geometry · MCQ
Q39.The number of terms of an A.P. is even; the sum of all the odd terms is 24 , the sum of all the even terms is 30 and the last term exceeds the first by $\frac{21}{2}$ . Then the number of terms which are integers in the A.P. is :
Mathematics · Sequences and Series · MCQ
Q40.Let $(a, b)$ be the point of intersection of the curve $x^{2} = 2 y$ and the straight line $y - 2 x - 6 = 0$ in the second quadrant. Then the integral $I = \int_{a}^{b} \frac{9 x ^{2}}{1 + 5 ^{x}} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q41.If the length of the minor axis of an ellipse is equal to one fourth of the distance between the foci, then the eccentricity of the ellipse is :
Mathematics · Ellipse · MCQ
Q42. $I f r = 0 \sum 10 (\frac{10 ^{r + 1} - 1}{10 ^{r}}) .^{11} C_{r + 1} = \frac{_{α} 11 - 11 ^{11}}{10 ^{10}}, t h e n α i s e q u a l t o :$
Mathematics · Binomial Theorem · MCQ
Q43. $4 \int_{0}^{1} (\frac{1}{3 + x ^{2} + 1 + x ^{2}}) d x - 3 lo g_{e} (3)$ is equal to :
Mathematics · Definite Integration · MCQ
Q44.Let $a = 2 \hat{i} - 3 \hat{j} + \hat{k}, b = 3 \hat{i} + 2 \hat{j} + 5 \hat{k}$ and a vector $c$ be such that $(a - c) \times b = - 18 \hat{i} - 3 \hat{j} + 12 \hat{k}$ …
Mathematics · Vector Algebra · MCQ
Q45. $Given three indentical bags each containing 10 balls, whose colours are as follows : Bag I Bag II Bag III Red 345 Blue 231 Green 534$ …
Mathematics · Probability · MCQ
Q46. $If y = cos (\frac{π}{3} + cos^{- 1} \frac{x}{2}), then (x - y)^{2} + 3 y^{2} is equal to$
Mathematics · Inverse Trigonometric Functions · Numerical
Q47.If the set of all $a \in R - {1}$ , for which the roots of the equation $(1 - a) x^{2} + 2 (a - 3) x + 9 = 0$ are positive is $(- \infty, - α] \cup [β, γ)$ , then $2 α + β + γ$ is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q48.If the sum of the first 10 terms of the series $\frac{4 \cdot 1}{1 + 4 \cdot 1 ^{4}} + \frac{4 \cdot 2}{1 + 4 \cdot 2 ^{4}} + \frac{4 \cdot 3}{1 + 4 \cdot 3 ^{4}} + \dots .$ . is $\frac{m}{n}$ , where $gcd (m, n) = 1$ …
Mathematics · Sequences and Series · Numerical
Q49.Let $y = y (x)$ be the solution of the differential equation $\frac{d y}{d x} + 2 y sec^{2} x = 2 sec^{2} x + 3 tan x \cdot sec^{2} x$ such that $y (0) = \frac{5}{4}$ . Then $12 (y (\frac{π}{4}) - e^{- 2})$ …
Mathematics · Differential Equations · Numerical
Q50.Let $A (4, - 2), B (1, 1)$ and $C (9, - 3)$ be the vertices of a triangle ABC . Then the maximum area of the parallelogram AFDE, formed with vertices D, E and F on the sides BC, CA and $A B$ of the triangle $A B C$ …
Mathematics · Application of Derivatives · Numerical
Q51.The moment of inertia of a circular ring of mass M and diameter r about a tangential axis lying in the plane of the ring is :
Physics · Rotational Motion · MCQ
Q52.In a moving coil galvanometer, two moving coils $M_{1}$ and $M_{2}$ have the following particulars : $R_{1} = 5Ω, N_{1} = 15, A_{1} = 3.6 \times 1 0^{- 3} m^{2}, B_{1} = 0.25 T R_{2} = 7Ω, N_{2} = 21, A_{2} = 1.8 \times 1 0^{- 3} m^{2}, B_{2} = 0.50 T$ …
Physics · Magnetics · MCQ
Q53.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Net dipole moment of a polar linear isotropic dielectric substance is not zero even in the absence of an external…
Physics · Electrostatics · MCQ
Q54.If $μ_{0}$ and $ϵ_{0}$ are the permeability and permittivity of free space, respectively, then the dimension of $(\frac{1}{μ _{0} ϵ _{0}})$ is :
Physics · Units and Measurements · MCQ
Q55.A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the $x$ -direction in 0.3 sec . The crest P is at $x = 0$ at $t = 0 sec$ and maximum displacement of the wave is 2 cm . Which equation correctly…
Physics · Waves · MCQ
Q56.A solenoid having area A and length ' $l$ ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is :
Physics · Magnetics · MCQ
Q57.Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm , at same distance of 18 cm from the respective mirrors. The ratio of sizes of the images formed by convex mirror and by…
Physics · Geometrical Optics · MCQ
Q58.A sportsman runs around a circular track of radius $r$ such that he traverses the path $A B A B$ . The distance travelled and displacement, respectively, are Includes diagram
Physics · Circular Motion · MCQ
Q59. $In the digital circuit shown in the figure, for the given inputs the P and Q values are :$ Includes diagram
Physics · Electronic Devices · MCQ
Q60.An electron with mass ' m ' with an initial velocity $(t = 0) v = v_{0} \hat{i} (v_{0} > 0)$ enters a magnetic field $B = B_{0} \hat{j}$ . If the initial…
Physics · Dual Nature of Radiation · MCQ
Q61.A bi-convex lens has radius of curvature of both the surfaces same as $(R_{1} e q R_{2})$ . If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides $(R_{1} e q R_{2})$ ,…
Physics · Geometrical Optics · MCQ
Q62.Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them is V . The potential difference between the points A and $B$ (shown in the figure) is : Includes diagram
Physics · Electrostatics · MCQ
Q63.Two water drops each of radius ' $r$ ' coalesce to form a bigger drop. If ' $T$ ' is the surface tension, the surface energy released in this process is :
Physics · Properties of Matter · MCQ
Q64.Energy released when two deuterons $(_{1} H^{2})$ fuse to form a helium nucleus $(_{2} He^{4})$ is : (Given : Binding energy per nucleon of $_{1} H^{2} = 1.1 MeV$ and binding energy per…
Physics · Atoms and Nuclei · MCQ
Q65. $Match List - I with List - II.$ $(A) (B) (C) (D) List - I Heat capacity of body Specific heat capacity of body Latent heat Thermal conductivity L i s t - I I (I) J kg^{- 1} (II) J K^{- 1} (III) J kg^{- 1} K^{- 1} (IV) J m^{- 1} K^{- 1} s^{- 1} Choose the correct answer from the options given below :$ …
Physics · Heat and Thermodynamics · MCQ
Q66.Consider a circular loop that is uniformly charged and has a radius $a 2$ . Find the position along the positive $z$ -axis of the cartesian coordinate system where the electric field is maximum if the ring was assumed to be…
Physics · Electrostatics · MCQ
Q67.A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions $T_{1}$ and $T_{2}$ , respectively, are (in N ) : (Take acceleration due to gravity $10 m / s^{2}$ … Includes diagram
Physics · Laws of Motion · MCQ
Q68.Identify the characteristics of an adiabatic process in a monoatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to the change in internal energy. (C) The product of temperature and volume is a constant. (D)…
Physics · Heat and Thermodynamics · MCQ
Q69.Given a charge q , current I and permeability of vacuum $μ_{o^{*}}$ . Which of the following quantity has the dimension of momentum ?
Physics · Units and Measurements · MCQ
Q70.Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of $Li^{++}$ ion in its ground state is given by $\frac{1}{X} a_{0}$ , where $X =$ (Where $a_{0}$ is the first Bohr's…
Physics · Atoms and Nuclei · MCQ
Q71.A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to $6 0^{\circ}$ . The refractive index of the prism material is $2$ . The angle of incidence (in degrees) is
Physics · Geometrical Optics · Numerical
Q72.The length of a light string is 1.4 m when the tension on it is 5 N . If the tension increases to 7 N , the length of the string is 1.56 m . The original length of the string is m.
Physics · Properties of Matter · Numerical
Q73.A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in figure. The established torque produces an angular acceleration of $2 rad / s^{2}$ .… Includes diagram
Physics · Rotational Motion · Numerical
Q74.The internal energy of air in $4 m \times 4 m \times 3 m$ sized room at 1 atmospheric pressure will be $\times 1 0^{6} J$ (Consider air as diatomic molecule)
Physics · Heat and Thermodynamics · Numerical
Q75.A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic energy of the satellite in this orbit is $\times 1 0^{10} J$ . (Mass of…
Physics · Gravitation · Numerical