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2025 · 2 Apr · Shift 1

75 questions · JEE Main

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2025 · 2 Apr · Shift 1

2025 · 2 Apr · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Basics of Organic ChemistryChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Salt AnalysisChemistry · 1 questions SolutionsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 3 questions Coordination CompoundsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions ThermodynamicsChemistry · 1 questions Structure of AtomChemistry · 1 questions BiomoleculesChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Matrices and DeterminantsMathematics · 3 questions 3D GeometryMathematics · 2 questions Trigonometric Functions and EquationsMathematics · 1 questions EllipseMathematics · 1 questions ParabolaMathematics · 1 questions Application of DerivativesMathematics · 1 questions Complex NumbersMathematics · 1 questions HyperbolaMathematics · 1 questions Binomial TheoremMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Vector AlgebraMathematics · 1 questions DifferentiationMathematics · 2 questions Sets and RelationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Sequences and SeriesMathematics · 1 questions ProbabilityMathematics · 1 questions Area Under the CurvesMathematics · 1 questions CircleMathematics · 1 questions Definite IntegrationMathematics · 1 questions ElectrostaticsPhysics · 3 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Motion in A PlanePhysics · 1 questions Rotational MotionPhysics · 3 questions MagneticsPhysics · 1 questions Wave OpticsPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Magnetic Properties of MatterPhysics · 1 questions Current ElectricityPhysics · 1 questions Electronic DevicesPhysics · 1 questions Properties of MatterPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions

Q1.Consider the following compound (X) The most stable and least stable carbon radicals, respectively, produced by homolytic cleavage of corresponding $C - H$ bond are : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q2. $CaCO_{3} (s) + 2 HCl (aq) \to CaCl_{2} (aq) + CO_{2} (g) + H_{2} O (l)$ Consider the above reaction, what mass of $CaCl_{2}$ will be formed…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q3.If equal volumes of $A B_{2}$ and $X Y$ (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of $AY_{2}$ at 300 K ? (Given $K_{sp} ($ at 300 K ) for $AY_{2} = 5.2 \times 1 0^{- 7}$ …
Chemistry · Ionic Equilibrium · MCQ
Q4.Given below are two statements : Statement (I) : The metallic radius of Al is less than that of Ga . Statement (II) : The ionic radius of $Al^{3 +}$ is less than that of $Ga^{3 +}$ . In the light of the above statements,…
Chemistry · Periodic Table and Periodicity · MCQ
Q5.Designate whether each of the following compounds is aromatic or not aromatic. Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q6.Choose the correct tests with respective observations. (A) $CuSO_{4}$ (acidified with acetic acid) $+ K_{4} [Fe (CN)_{6}] \to$ Chocolate brown precipitate. (B) $FeCl_{3} + K_{4} [Fe (CN)_{6}] \to$ …
Chemistry · Salt Analysis · MCQ
Q7.A solution is made by mixing one mole of volatile liquid $A$ with 3 moles of volatile liquid $B$ . The vapour pressure of pure A is 200 mm Hg and that of the solution is 500 mm Hg . The vapour pressure of pure B and the least volatile…
Chemistry · Solutions · MCQ
Q8.A molecule with the formula $AX_{4} Y$ has all it's elements from p-block. Element A is rarest, monoatomic, non-radioactive from its group and has the lowest ionization enthalpy value among $A, X$ and Y .…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q9.Given below are two statements : Statement (I) : In octahedral complexes, when $Δ_{0} P$ low spin complexes are formed. Statement (II) : In tetrahedral complexes because of$\Delta_t In the light of the above statements, choose the most…
Chemistry · Coordination Compounds · MCQ
Q10.On complete combustion 1.0 g of an organic compound $(X)$ gave 1.46 g of $CO_{2}$ and 0.567 g of $H_{2} O$ . The empirical formula mass of compound $(X)$ is g. (Given molar…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q11.Given below are two statements: Statement I : Vanilin will react with NaOH and also with Tollen's reagent. Statement II : Vanilin will undergo self aldol condensation very easily. In the light of the above statements, choose the most… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.An optically active alkyl halide $C_{4} H_{9} Br [A]$ reacts with hot KOH dissolved in ethanol and forms alkene $[B]$ as major product which reacts with bromine to give dibromide $[C]$ . The compound [C] is…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.Two vessels A and B are connected via stopcock. The vessel A is filled with a gas at a certain pressure. The entire assembly is immersed in water and is allowed to come to thermal equilibrium with water. After opening the stopcock the gas… Includes diagram
Chemistry · Thermodynamics · MCQ
Q14.Among $SO_{2}, NF_{3}, NH_{3}, XeF_{2}, ClF_{3}$ and $SF_{4}$ , the hybridization of the molecule with nonzero dipole moment and highest number of lone-pairs of electrons on the central atom is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q15.Which of the following graph correctly represents the plots of $K_{H}$ at 1 bar for gases in water versus temperature?
Chemistry · Solutions · MCQ
Q16.According to Bohr's model of hydrogen atom, which of the following statement is incorrect?
Chemistry · Structure of Atom · MCQ
Q17.Identify the correct statement among the following :
Chemistry · Biomolecules · MCQ
Q18.The correct order of basic nature in aqueous solution for the bases $NH_{3}, H_{2} N - NH_{2}, CH_{3} CH_{2} NH_{2}, (CH_{3} CH_{2})_{2} NH$ and $(CH_{3} CH_{2})_{3} N$ …
Chemistry · Compounds Containing Nitrogen · MCQ
Q19.The property/properties that show irregularity in first four elements of group-17 is/are (A) Covalent radius (B) Electron affinity (C) Ionic radius (D) First ionization energy Choose the correct answer from the options given below :
Chemistry · Periodic Table and Periodicity · MCQ
Q20.Consider the following molecules: The correct order of rate of hydrolysis is : Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q21.For the reaction A $\to$ products. The concentration of A at 10 minutes is $\times 1 0^{- 3} mol L^{- 1}$ (nearest integer). The reaction was started with $2.5 mol L^{- 1}$ of A . Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.0.1 mol of the following given antiviral compound $(P)$ will weigh $\times 1 0^{- 1} g$ (nearest integer). (Given : molar mass in $g mol^{- 1} H : 1, C : 12, N : 14, O : 16, F : 19, I : 127$ … Includes diagram
Chemistry · Practical Organic Chemistry · Numerical
Q23.Consider the following electrochemical cell at standard condition. $Au (s) ∣ QH_{2}, Q ∣ NH_{4} X (0.01 M) ∣∣ Ag^{+} (1 M) ∣ Ag (s) E_{cell} = + 0.4 V$ … Includes diagram
Chemistry · Electrochemistry · Numerical
Q24.Consider the following equilibrium, $CO (g) + 2 H_{2} (g) ⇌ CH_{3} OH (g)$ 0.1 mol of CO along with a catalyst is present in a $2 dm^{3}$ flask maintained…
Chemistry · Chemical Equilibrium · Numerical
Q25.A transition metal (M) among $Mn, Cr, Co$ and Fe has the highest standard electrode potential $(M^{3 +} / M^{2 +})$ . It forms a metal complex of the type $[M (CN)_{6}]^{4 -}$ …
Chemistry · Coordination Compounds · Numerical
Q26.Let $A = [α 6 - 1 β], α > 0$ , such that $det (A) = 0$ and $α + β = 1$ . If I denotes $2 \times 2$ identity matrix, then the matrix…
Mathematics · Matrices and Determinants · MCQ
Q27.Let the vertices Q and R of the triangle PQR lie on the line $\frac{x + 3}{5} = \frac{y - 1}{2} = \frac{z + 4}{3}, QR = 5$ and the coordinates of the point $P$ be $(0, 2, 3)$ . If the area of the triangle $P QR$ is $\frac{m}{n}$ then :
Mathematics · 3D Geometry · MCQ
Q28.Let $a \in R$ and $A$ be a matrix of order $3 \times 3$ such that $det (A) = - 4$ and $A + I = 12 a a 11 102$ , where $I$ is the identity matrix…
Mathematics · Matrices and Determinants · MCQ
Q29.If $θ \in [- 2 π, 2 π]$ , then the number of solutions of $22 cos^{2} θ + (2 - 6) cos θ - 3 = 0$ , is equal to:
Mathematics · Trigonometric Functions and Equations · MCQ
Q30.If $S$ and $S^{'}$ are the foci of the ellipse $\frac{x ^{2}}{18} + \frac{y ^{2}}{9} = 1$ and P be a point on the ellipse, then $min (S P \cdot S^{'} P) + max (S P \cdot S^{'} P)$ is equal to :
Mathematics · Ellipse · MCQ
Q31.Let the focal chord PQ of the parabola $y^{2} = 4 x$ make an angle of $6 0^{\circ}$ with the positive $x$ axis, where P lies in the first quadrant. If the circle, whose one diameter is PS, S being the focus of the parabola, touches the $y$ -axis…
Mathematics · Parabola · MCQ
Q32.If the function $f (x) = 2 x^{3} - 9 a x^{2} + 12 a^{2} x + 1$ , where $a > 0$ , attains its local maximum and local minimum values at p and q , respectively, such that $p^{2} = q$ , then $f (3)$ is equal to :
Mathematics · Application of Derivatives · MCQ
Q33.Let $A B C D$ be a tetrahedron such that the edges $A B, A C$ and $A D$ are mutually perpendicular. Let the areas of the triangles $ABC, ACD$ and ADB be 5,6 and 7 square units respectively. Then the area (in square units)…
Mathematics · 3D Geometry · MCQ
Q34.Let $z$ be a complex number such that $∣ z ∣ = 1$ . If $\frac{2 + k ^{2} z}{k + z ˉ} = k z, k \in R$ , then the maximum distance of $k + i k^{2}$ from the circle $∣ z - (1 + 2 i) ∣ = 1$ is :
Mathematics · Complex Numbers · MCQ
Q35.Let one focus of the hyperbola $H : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ be at $(10, 0)$ and the corresponding directrix be $x = \frac{9}{10}$ . If $e$ and $l$ respectively are the eccentricity and the…
Mathematics · Hyperbola · MCQ
Q36.The largest $n \in N$ such that $3^{n}$ divides 50 ! is :
Mathematics · Binomial Theorem · MCQ
Q37.Let $P_{n} = α^{n} + β^{n}, n \in N$ . If $P_{10} = 123, P_{9} = 76, P_{8} = 47$ and $P_{1} = 1$ , then the quadratic equation having roots $\frac{1}{α}$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q38.If $a$ is a nonzero vector such that its projections on the vectors $2 \hat{i} - \hat{j} + 2 \hat{k}, \hat{i} + 2 \hat{j} - 2 \hat{k}$ and $\hat{k}$ are equal, then a unit vector along $a$ is :
Mathematics · Vector Algebra · MCQ
Q39.If the system of linear equations $3 x + y + β z = 3 2 x + α y - z = - 3 x + 2 y + z = 4$ has infinitely many solutions, then the value of $22 β - 9 α$ is :
Mathematics · Matrices and Determinants · MCQ
Q40.Let $f : R \to R$ be a twice differentiable function such that $(sin x cos y) (f (2 x + 2 y) - f (2 x - 2 y)) = (cos x sin y) (f (2 x + 2 y) + f (2 x - 2 y))$ , for all $x, y \in R$ . If $f^{'} (0) = \frac{1}{2}$ , then…
Mathematics · Differentiation · MCQ
Q41.Let A be the set of all functions $f : Z \to Z$ and R be a relation on A such that $R = {(f, g) : f (0) = g (1)$ and $f (1) = g (0)}$ . Then R is :
Mathematics · Sets and Relations · MCQ
Q42.The number of sequences of ten terms, whose terms are either 0 or 1 or 2 , that contain exactly five 1 s and exactly three 2 s , is equal to :
Mathematics · Permutations and Combinations · MCQ
Q43.For $α, β, γ \in R$ , if $lim_{x \to 0} \frac{x ^{2} s i n α x + ( γ - 1 ) e ^{x^{2}}}{s i n 2 x - β x} = 3$ , then $β + γ - α$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q44.The term independent of $x$ in the expansion of $(\frac{( x + 1 )}{( x ^{2/3} + 1 - x ^{1/3} )} - \frac{( x - 1 )}{( x - x ^{1/2} )})^{10}, x > 1$ , is :
Mathematics · Binomial Theorem · MCQ
Q45.Let $a_{1}, a_{2}, a_{3}, \dots$ be in an A.P. such that $\sum_{k = 1}^{12} a_{2 k - 1} = - \frac{72}{5} a_{1}, a_{1} e q 0$ . If $\sum_{k = 1}^{n} a_{k} = 0$ , then $n$ is :
Mathematics · Sequences and Series · MCQ
Q46.Three distinct numbers are selected randomly from the set ${1, 2, 3, \dots, 40}$ . If the probability, that the selected numbers are in an increasing G.P., is $\frac{m}{n}, gcd (m, n) = 1$ , then $m + n$ is equal to …
Mathematics · Probability · Numerical
Q47.Let $f : R \to R$ be a thrice differentiable odd function satisfying $f^{'} (x) \geq 0, f^{'} (x) = f (x), f (0) = 0, f^{'} (0) = 3$ . Then $9 f (lo g_{e} 3)$ is equal to .
Mathematics · Differentiation · Numerical
Q48.If the area of the region ${(x, y) : 4 - x^{2} \leq y \leq x^{2}, y \leq 4, x \geq 0}$ is $(\frac{80 2}{α} - β), α, β \in N$ , then $α + β$ is equal to …
Mathematics · Area Under the Curves · Numerical
Q49.The absolute difference between the squares of the radii of the two circles passing through the point $(- 9, 4)$ and touching the lines $x + y = 3$ and $x - y = 3$ , is equal to .
Mathematics · Circle · Numerical
Q50.Let [.] denote the greatest integer function. If $0 \int e^{3} [\frac{1}{e ^{x - 1}}] d x = α - lo g_{e} 2$ , then $α^{3}$ is equal to .
Mathematics · Definite Integration · Numerical
Q51.Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density $+ σ$ and $- 2 σ$ . The force experienced by a point charge +q placed at the mid point… Includes diagram
Physics · Electrostatics · MCQ
Q52.A monochromatic light is incident on a metallic plate having work function $ϕ$ . An electron, emitted normally to the plate from a point A with maximum kinetic energy, enters a constant magnetic field, perpendicular to the initial…
Physics · Dual Nature of Radiation · MCQ
Q53.A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object ' O ', is : ( C is the center of curvature of the spherical surface and R is the radius of curvature) Includes diagram
Physics · Geometrical Optics · MCQ
Q54.A river is flowing from west to east direction with speed of $9 km h^{- 1}$ . If a boat capable of moving at a maximum speed of $27 km h^{- 1}$ in still water, crosses the river in half a minute, while…
Physics · Motion in A Plane · MCQ
Q55.Moment of inertia of a rod of mass ' M ' and length ' L ' about an axis passing through its center and normal to its length is ' $α$ '. Now the rod is cut into two equal parts and these parts are joined symmetrically to form a cross…
Physics · Rotational Motion · MCQ
Q56.Let $B_{1}$ be the magnitude of magnetic field at center of a circular coil of radius $R$ carrying current I. Let $B_{2}$ be the magnitude of magnetic field at an axial distance ' $x$ ' from the center. For $x : R = 3 : 4, \frac{B _{2}}{B _{1}}$ …
Physics · Magnetics · MCQ
Q57.A light wave is propagating with plane wave fronts of the type $x + y + z =$ constant. Th angle made by the direction of wave propagation with the $x$ -axis is :
Physics · Wave Optics · MCQ
Q58.Match List I with List II. Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q59.A particle is subjected to two simple harmonic motions as : $x_{1} = 7 sin 5 tcm$ and $x_{2} = 27 sin (5 t + \frac{π}{3}) cm$ where $x$ is displacement and $t$ is time in seconds. The maximum…
Physics · Simple Harmonic Motion · MCQ
Q60.A square Lamina OABC of length 10 cm is pivoted at ' $O^{'}$ . Forces act at Lamina as shown in figure. If Lamina remains stationary, then the magnitude of F is : Includes diagram
Physics · Rotational Motion · MCQ
Q61.A point charge $+ q$ is placed at the origin. A second point charge $+ 9 q$ is placed at ( $d, 0, 0$ ) in Cartesian coordinate system. The point in between them where the electric field vanishes is:
Physics · Electrostatics · MCQ
Q62.A slanted object $A B$ is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image with principal axis is : Includes diagram
Physics · Geometrical Optics · MCQ
Q63.Considering Bohr's atomic model for hydrogen atom : (A) the energy of H atom in ground state is same as energy of $He^{+}$ ion in its first excited state. (B) the energy of H atom in ground state is same as that for $Li^{++}$ …
Physics · Atoms and Nuclei · MCQ
Q64.In an adiabatic process, which of the following statements is true?
Physics · Heat and Thermodynamics · MCQ
Q65.The equation for real gas is given by $(P + \frac{a}{V ^{2}}) (V - b) = RT$ , where $P, V, T$ and R are the pressure, volume, temperature and gas constant,…
Physics · Heat and Thermodynamics · MCQ
Q66.The relationship between the magnetic susceptibility $(x)$ and the magnetic permeability $(μ)$ is given by : ( $μ_{0}$ is the permeability of free space and $μ_{T}$ is relative permeability)
Physics · Magnetic Properties of Matter · MCQ
Q67.The battery of a mobile phone is rated as $4.2 V, 5800 mAh$ . How much energy is stored ir it when fully charged?
Physics · Current Electricity · MCQ
Q68.A zener diode with 5 V zener voltage is used to regulate an unregulated dc voltage input of 25 V . For a $400Ω$ resistor connected in series, the zener current is found to be 4 times load current. The load current $(I_{L})$ …
Physics · Electronic Devices · MCQ
Q69.A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The mass of wheel is 10 kg and radius is 10 cm and it can freely rotate without any friction. Initially the wheel is at rest. If a… Includes diagram
Physics · Rotational Motion · MCQ
Q70.A small bob of mass 100 mg and charge $+ 10 μ C$ is connected to an insulating string of length 1 m . It is brought near to an infinitely long non-conducting sheet of charge density ' $σ$ ' as shown in figure. If string… Includes diagram
Physics · Electrostatics · MCQ
Q71.A steel wire of length 2 m and Young's modulus $2.0 \times 1 0^{11} N m^{- 2}$ is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and $1 0^{- 3}$ respectively, then the elastic potential…
Physics · Properties of Matter · Numerical
Q72. $γ_{A}$ is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. $γ_{B}$ is the specific heat ratio of polyatomic gas $B$ having 3 translational, 3 rotational degrees of freedom and 1…
Physics · Heat and Thermodynamics · Numerical
Q73.A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of $100 cm^{2}$ with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled completely with…
Physics · Properties of Matter · Numerical
Q74.If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is $3 0^{\circ}$ in a single slit diffraction pattern recorded using 628 nm light,…
Physics · Wave Optics · Numerical
Q75.A person travelling on a straight line moves with a uniform velocity $v_{1}$ for a distance $x$ and with a uniform velocity $v_{2}$ for the next $\frac{3}{2} x$ distance. The average velocity in this motion is $\frac{50}{7} m / s$ …
Physics · Motion in A Straight Line · Numerical