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2025 · 22 Jan · Shift 2

75 questions · JEE Main

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2025 · 22 Jan · Shift 2

2025 · 22 Jan · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

HydrocarbonsChemistry · 3 questions ElectrochemistryChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 3 questions P Block ElementsChemistry · 1 questions BiomoleculesChemistry · 1 questions Salt AnalysisChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Redox ReactionsChemistry · 1 questions Structure of AtomChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions 3D GeometryMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Trigonometric Functions and EquationsMathematics · 1 questions Binomial TheoremMathematics · 2 questions Differential EquationsMathematics · 2 questions ProbabilityMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Application of DerivativesMathematics · 1 questions FunctionsMathematics · 1 questions Complex NumbersMathematics · 1 questions Sequences and SeriesMathematics · 1 questions ParabolaMathematics · 1 questions EllipseMathematics · 1 questions Properties of TriangleMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Simple Harmonic MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Rotational MotionPhysics · 1 questions CapacitorPhysics · 1 questions Units and MeasurementsPhysics · 1 questions MagneticsPhysics · 3 questions Circular MotionPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Electronic DevicesPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Properties of MatterPhysics · 2 questions Alternating CurrentPhysics · 1 questions ElectrostaticsPhysics · 1 questions Wave OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Motion in A PlanePhysics · 1 questions Work Power and EnergyPhysics · 1 questions Current ElectricityPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions

Q1.When sec-butylcyclohexane reacts with bromine in the presence of sunlight, the major product is :
Chemistry · Hydrocarbons · MCQ
Q2.Given below are two statements : Statement (I) : Corrosion is an electrochemical phenomenon in which pure metal acts as an anode and impure metal as a cathode. Statement (II) : The rate of corrosion is more in alkaline medium than in…
Chemistry · Electrochemistry · MCQ
Q3.The most stable carbocation from the following is :
Chemistry · Basics of Organic Chemistry · MCQ
Q4.The correct order of the following complexes in terms of their crystal field stabilization energies is :
Chemistry · Coordination Compounds · MCQ
Q5.The maximum covalency of a non-metallic group 15 element ' E ' with weakest $E - E$ bond is :
Chemistry · P Block Elements · MCQ
Q6.Identify the number of structure/s from the following which can be corelated to $D$ -glyceraldehyde. Includes diagram
Chemistry · Biomolecules · MCQ
Q7.Given below are two statements : Statement (I) : Nitrogen, sulphur, halogen and phosphorus present in an organic compound are detected by Lassaigne's Test. Statement (II) : The elements present in the compound are converted from covalent…
Chemistry · Salt Analysis · MCQ
Q8.Consider the given figure and choose the correct option : Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q9.Arrange the following compounds in increasing order of their dipole moment : $HBr, H_{2} S, NF_{3}$ and $CHCl_{3}$
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Density of 3 M NaCl solution is $1.25 g / mL$ . The molality of the solution is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q11.The molar solubility(s) of zirconium phosphate with molecular formula $(Zr^{4 +})_{3} (PO_{4}^{3 -})_{4}$ is given by relation :
Chemistry · Ionic Equilibrium · MCQ
Q12.Match List - I with List - II. Choose the correct answer from the options given below : Includes table
Chemistry · Thermodynamics · MCQ
Q13.Identify the homoleptic complex(es) that is/are low spin. (A) $[Fe (CN)_{5} NO]^{2 -}$ (B) $[CoF_{6}]^{3 -}$ (C) $[Fe (CN)_{6}]^{4 -}$ (D) $[Co (NH_{3})_{6}]^{3 +}$ …
Chemistry · Coordination Compounds · MCQ
Q14.The maximum number of RBr producing 2-methylbutane by above sequence of reactions is . (Consider the structural isomers only) Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q15.The alkane from below having two secondary hydrogens is :
Chemistry · Hydrocarbons · MCQ
Q16.Residue (A) + HCl (dil) $\to$ Compound (B) Structure of residue (A) and compound (B) formed respectively is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q17.Given below are two statements : Statement (I) : An element in the extreme left of the periodic table forms acidic oxides. Statement (II) : Acid is formed during the reaction between water and oxide of a reactive element present in the…
Chemistry · Periodic Table and Periodicity · MCQ
Q18.The species which does not undergo disproportionation reaction is :
Chemistry · Redox Reactions · MCQ
Q19.Given below are two statements : Statement (I) : A spectral line will be observed for a $2 p_{x} \to 2 p_{y}$ transition. Statement (II) : $2 p_{x}$ and $2 p_{y}$ are degenerate orbitals. In the light of the above…
Chemistry · Structure of Atom · MCQ
Q20.Match the Compounds (List - I) with the appropriate Catalyst/ Reagents (List - II) for their reduction into corresponding amines. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q21.Consider the following cases of standard enthalpy of reaction $(Δ H_{r}^{\circ}$ in $kJ mol^{- 1})$ $C_{2} H_{6} (g) + \frac{7}{2} O_{2} (g) \to 2 CO_{2} (g) + 3 H_{2} O (l) Δ H_{1}^{\circ} = - 1550 C (graphite) + O_{2} (g) \to CO_{2} (g) Δ H_{2}^{\circ} = - 393.5 H_{2} (g) + \frac{1}{2} O_{2} (g) \to H_{2} O (l) Δ H_{3}^{\circ} = - 286$ …
Chemistry · Thermodynamics · Numerical
Q22.The complex of $Ni^{2 +}$ ion and dimethyl glyoxime contains number of Hydrogen (H) atoms.
Chemistry · Coordination Compounds · Numerical
Q23.Niobium $(Nb)$ and ruthenium $(Ru)$ have " $x$ " and " $y$ " number of electrons in their respective 4 d orbitals. The value of $x + y$ is .
Chemistry · D and F Block Elements · Numerical
Q24.20 mL of 2 M NaOH solution is added to 400 mL of 0.5 M NaOH solution. The final concentration of the solution is $\times 1 0^{- 2} M$ . (Nearest integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q25.The compound with molecular formula $C_{6} H_{6}$ , which gives only one monobromo derivative and takes up four moles of hydrogen per mole for complete hydrogenation has $π$ electrons.
Chemistry · Hydrocarbons · Numerical
Q26.Let $α_{θ}$ and $β_{θ}$ be the distinct roots of $2 x^{2} + (cos θ) x - 1 = 0, θ \in (0, 2 π)$ . If m and M are the minimum and the maximum values of $α_{θ}^{4} + β_{θ}^{4}$ , then $16 (M + m)$ equals :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q27.Let a line pass through two distinct points $P (- 2, - 1, 3)$ and $Q$ , and be parallel to the vector $3 \hat{i} + 2 \hat{j} + 2 \hat{k}$ . If the distance of the point Q from the point $R (1, 3, 3)$ is 5 , then the square of the area of $△ P QR$ …
Mathematics · 3D Geometry · MCQ
Q28.If the system of linear equations : $x + y + 2 z = 6 2 x + 3 y + az = a + 1 - x - 3 y + b z = 2 b$ where $a, b \in R$ , has infinitely many solutions, then $7 a + 3 b$ …
Mathematics · Matrices and Determinants · MCQ
Q29.The sum of all values of $θ \in [0, 2 π]$ satisfying $2 sin^{2} θ = cos 2 θ$ and $2 cos^{2} θ = 3 sin θ$ is
Mathematics · Trigonometric Functions and Equations · MCQ
Q30.Let $α, β, γ$ and $δ$ be the coefficients of $x^{7}, x^{5}, x^{3}$ and $x$ respectively in the expansion of $(x + x^{3} - 1)^{5} + (x - x^{3} - 1)^{5}, x > 1 . If u and v satisfy the equations α u + β v = 18, γ u + δ v = 20,$ …
Mathematics · Binomial Theorem · MCQ
Q31.The perpendicular distance, of the line $\frac{x - 1}{2} = \frac{y + 2}{- 1} = \frac{z + 3}{2}$ from the point $P (2, - 10, 1)$ , is :
Mathematics · 3D Geometry · MCQ
Q32.If $x = f (y)$ is the solution of the differential equation $(1 + y^{2}) + (x - 2 e^{t a n^{- 1} y}) \frac{d y}{d x} = 0, y \in (- \frac{π}{2}, \frac{π}{2})$ with $f (0) = 1$ , then $f (\frac{1}{3})$ …
Mathematics · Differential Equations · MCQ
Q33.If $A$ and $B$ are two events such that $P (A \cap B) = 0.1$ , and $P (A ∣ B)$ and $P (B ∣ A)$ are the roots of the equation $12 x^{2} - 7 x + 1 = 0$ , then the value of $\frac{P ( A ˉ \cup B ˉ )}{P ( A ˉ \cap B ˉ )}$ is :
Mathematics · Probability · MCQ
Q34.For a $3 \times 3$ matrix $M$ , let trace $(M)$ denote the sum of all the diagonal elements of $M$ . Let $A$ be a $3 \times 3$ matrix such that $∣ A ∣ = \frac{1}{2}$ and trace $(A) = 3$ . If $B = adj (adj (2 A))$ , then the…
Mathematics · Matrices and Determinants · MCQ
Q35.If $\int e^{x} (\frac{x s i n ^{- 1} x}{1 - x ^{2}} + \frac{s i n ^{- 1} x}{( 1 - x ^{2} ) ^{3/2}} + \frac{x}{1 - x ^{2}}) d x = g (x) + C$ , where C is the constant of integration, then $g (\frac{1}{2})$ …
Mathematics · Indefinite Integrals · MCQ
Q36.Let $a$ and $b$ be two unit vectors such that the angle between them is $\frac{π}{3}$ . If $λ a + 2 b$ and $3 a - λ b$ are perpendicular to each other, then the number of values of $λ$ in $[- 1, 3]$ …
Mathematics · Vector Algebra · MCQ
Q37.The area of the region enclosed by the curves $y = x^{2} - 4 x + 4$ and $y^{2} = 16 - 8 x$ is :
Mathematics · Area Under the Curves · MCQ
Q38.In a group of 3 girls and 4 boys, there are two boys $B_{1}$ and $B_{2}$ . The number of ways, in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but $B_{1}$ and $B_{2}$ are not…
Mathematics · Permutations and Combinations · MCQ
Q39.If $lim_{x \to \infty} ((\frac{e}{1 - e}) (\frac{1}{e} - \frac{x}{1 + x}))^{x} = α$ , then the value of $\frac{l o g _{e} α}{1 + l o g _{e} α}$ equals :
Mathematics · Limits Continuity and Differentiability · MCQ
Q40.Let $f (x) = \int_{0}^{x^{2}} \frac{t ^{2} - 8 t + 15}{e ^{t}} dt, x \in R$ . Then the numbers of local maximum and local minimum points of $f$ , respectively, are :
Mathematics · Application of Derivatives · MCQ
Q41.Let $A = {1, 2, 3, 4}$ and $B = {1, 4, 9, 16}$ . Then the number of many-one functions $f : A \to B$ such that $1 \in f (A)$ is equal to :
Mathematics · Functions · MCQ
Q42.Let the curve $z (1 + i) + \overset{z}{ˉ} (1 - i) = 4, z \in C$ , divide the region $∣ z - 3∣ \leq 1$ into two parts of areas $α$ and $β$ . Then $∣ α - β ∣$ equals :
Mathematics · Complex Numbers · MCQ
Q43.Suppose that the number of terms in an A.P. is $2 k, k \in N$ . If the sum of all odd terms of the A.P. is 40 , the sum of all even terms is 55 and the last term of the A.P. exceeds the first term by 27 , then k is equal to:
Mathematics · Sequences and Series · MCQ
Q44.Let $P (4, 43)$ be a point on the parabola $y^{2} = 4 a x$ and PQ be a focal chord of the parabola. If M and N are the foot of perpendiculars drawn from P and Q respectively on the directrix of the parabola, then the…
Mathematics · Parabola · MCQ
Q45.Let $E : \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1, a > b$ and $H : \frac{x ^{2}}{A ^{2}} - \frac{y ^{2}}{B ^{2}} = 1$ . Let the distance between the foci of E and the foci of $H$ be $23$ …
Mathematics · Ellipse · MCQ
Q46.Let $A (6, 8), B (10 cos α, - 10 sin α)$ and $C (- 10 sin α, 10 cos α)$ , be the vertices of a triangle. If $L (a, 9)$ and $G (h, k)$ be its orthocenter and centroid respectively, then $(5 a - 3 h + 6 k + 100 sin 2 α)$ …
Mathematics · Properties of Triangle · Numerical
Q47.Let $y = f (x)$ be the solution of the differential equation $\frac{d y}{d x} + \frac{x y}{x ^{2} - 1} = \frac{x ^{6} + 4 x}{1 - x ^{2}}, - 1 < x < 1$ such that $f (0) = 0$ . If $6 \int_{- 1/2}^{1/2} f (x) d x = 2 π - α$ then…
Mathematics · Differential Equations · Numerical
Q48.If $\sum_{r = 1}^{30} \frac{r ^{2} ( ^{30} C _{r} ) ^{2}}{^{30} C _{r - 1}} = α \times 2^{29}$ , then $α$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q49.Let the distance between two parallel lines be 5 units and a point $P$ lie between the lines at a unit distance from one of them. An equilateral triangle $P QR$ is formed such that $Q$ lies on one of the parallel lines, while R lies on…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q50.Let $A = {1, 2, 3}$ . The number of relations on $A$ , containing $(1, 2)$ and $(2, 3)$ , which are reflexive and transitive but not symmetric, is .
Mathematics · Sets and Relations · Numerical
Q51.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A simple pendulum is taken to a planet of mass and radius, 4 times and 2 times, respectively, than the Earth. The…
Physics · Simple Harmonic Motion · MCQ
Q52.Given are statements for certain thermodynamic variables, (A) Internal energy, volume $(V)$ and mass $(M)$ are extensive variables. (B) Pressure (P), temperature ( T ) and density ( $ρ$ ) are intensive variables. (C)…
Physics · Heat and Thermodynamics · MCQ
Q53.The torque due to the force $(2 \hat{i} + \hat{j} + 2 \hat{k})$ about the origin, acting on a particle whose position vector is $(\hat{i} + \hat{j} + \hat{k})$ , would be
Physics · Rotational Motion · MCQ
Q54.Which one of the following is the correct dimensional formula for the capacitance in F ? $M, L, T$ and $C$ stand for unit of mass, length, time and charge,
Physics · Capacitor · MCQ
Q55.The maximum percentage error in the measurment of density of a wire is [Given, mass of wire $= (0.60 \pm 0.003) g$ radius of wire $= (0.50 \pm 0.01) cm$ length of wire $= (10.00 \pm 0.05) cm]$
Physics · Units and Measurements · MCQ
Q56.An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization is applicable, then the radius of the electronic orbit in the first excited state is :
Physics · Magnetics · MCQ
Q57.A body of mass 100 g is moving in circular path of radius 2 m on vertical plane as shown in figure. The velocity of the body at point $A$ is $10 m / s$ . The ratio of its kinetic energies at point B and C is : (Take… Includes diagram
Physics · Circular Motion · MCQ
Q58.A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a constant speed. When the loop is partially inside the magnate field, the plot of magnitude of induced emf $(ε)$ with time $(t)$ …
Physics · Electromagnetic Induction · MCQ
Q59.To obtain the given truth table, following logic gate should be placed at G : Includes diagram
Physics · Electronic Devices · MCQ
Q60.A symmetric thin biconvex lens is cut into four equal parts by two planes $A B$ and $C D$ as shown in figure. If the power of original lens is 4D then the power of a part of the divided lens is Includes diagram
Physics · Geometrical Optics · MCQ
Q61.A tube of length $L$ is shown in the figure. The radius of cross section at the point $(1)$ is 2 cm and at the point (2) is 1 cm , respectively. If the velocity of water entering at point (1) is $2 m / s$ , then velocity… Includes diagram
Physics · Properties of Matter · MCQ
Q62.A series LCR circuit is connected to an alternating source of emf E. The current amplitude at resonant frequency is $I_{0}$ . If the value of resistance R becomes twice of its initial value then amplitude of current at resonance will be
Physics · Alternating Current · MCQ
Q63.For a short dipole placed at origin O , the dipole moment P is along $x$ -axis, as shown in the figure. If the electric potential and electric field at $A$ are $V_{0}$ and $E_{0}$ , respectively, then the correct combination of the electric… Includes diagram
Physics · Electrostatics · MCQ
Q64.A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of transparent film to be coated for the maximum transmission of Green light of wavelength 550 nm . [Assume that…
Physics · Wave Optics · MCQ
Q65.A light source of wavelength $λ$ illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2 eV . If the same surface is illuminated by a light source of wavelength $\frac{λ}{2}$ , then the maximum…
Physics · Dual Nature of Radiation · MCQ
Q66.For a diatomic gas, if $γ_{1} = (\frac{C p}{C v})$ for rigid molecules and $γ_{2} = (\frac{C p}{C v})$ for another diatomic molecules, but also having vibrational modes. Then, which one of the following options is…
Physics · Heat and Thermodynamics · MCQ
Q67.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In Young's double slit experiment, the fringes produced by red light are closer as compared to those produced by blue…
Physics · Wave Optics · MCQ
Q68.A ball of mass 100 g is projected with velocity $20 m / s$ at $6 0^{\circ}$ with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point is
Physics · Motion in A Plane · MCQ
Q69.A force $F = 2 \hat{i} + b \hat{j} + \hat{k}$ is applied on a particle and it undergoes a displacement $\hat{i} - 2 \hat{j} - \hat{k}$ What will be the value of $b$ , if work done on the particle is zero.
Physics · Work Power and Energy · MCQ
Q70.A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the density of the ball, then the viscous…
Physics · Properties of Matter · MCQ
Q71.A proton is moving undeflected in a region of crossed electric and magnetic fields at a constant speed of $2 \times 1 0^{5} ms^{- 1}$ . When the electric field is switched off, the proton moves along a circular path of radius 2 cm .…
Physics · Magnetics · Numerical
Q72.The net current flowing in the given circuit is A. Includes diagram
Physics · Current Electricity · Numerical
Q73.A parallel plate capacitor of area $A = 16 cm^{2}$ and separation between the plates 10 cm , is charged by a DC current. Consider a hypothetical plane surface of area $A_{0} = 3.2 cm^{2}$ inside the capacitor and…
Physics · Electromagnetic Waves · Numerical
Q74.Two long parallel wires $X$ and $Y$ , separated by a distance of 6 cm , carry currents of 5 A and 4A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance of 4 cm… Includes diagram
Physics · Magnetics · Numerical
Q75.A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then…
Physics · Circular Motion · Numerical