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2025 · 23 Jan · Shift 2

75 questions · JEE Main

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2025 · 23 Jan · Shift 2

2025 · 23 Jan · Shift 2

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Ionic EquilibriumChemistry · 1 questions SolutionsChemistry · 2 questions D and F Block ElementsChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions BiomoleculesChemistry · 1 questions ThermodynamicsChemistry · 2 questions HydrocarbonsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Salt AnalysisChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Structure of AtomChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions Definite IntegrationMathematics · 1 questions Complex NumbersMathematics · 2 questions EllipseMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions 3D GeometryMathematics · 2 questions Sets and RelationsMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Binomial TheoremMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Application of DerivativesMathematics · 1 questions ParabolaMathematics · 2 questions Differential EquationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions StatisticsMathematics · 1 questions WavesPhysics · 1 questions Electromagnetic WavesPhysics · 2 questions GravitationPhysics · 2 questions Properties of MatterPhysics · 3 questions Heat and ThermodynamicsPhysics · 2 questions Electronic DevicesPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions ElectrostaticsPhysics · 2 questions Geometrical OpticsPhysics · 2 questions Wave OpticsPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Rotational MotionPhysics · 1 questions Current ElectricityPhysics · 1 questions Alternating CurrentPhysics · 1 questions CapacitorPhysics · 1 questions

Q1.pH of water is 7 at $2 5^{\circ} C$ . If water is heated to $8 0^{\circ} C$ ., it's pH will :
Chemistry · Ionic Equilibrium · MCQ
Q2.When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by 10 mm of Hg . The mole fraction of the solute in the solution is 0.2 . What would be the mole fraction of the solvent if decrease in vapour…
Chemistry · Solutions · MCQ
Q3.Match List - I with List - II Choose the correct answer from the options given below : Includes table
Chemistry · D and F Block Elements · MCQ
Q4.Consider a binary solution of two volatile liquid components 1 and $2. x_{1}$ and $y_{1}$ are the mole fractions of component 1 in liquid and vapour phase, respectively. The slope and intercept of the linear plot of $\frac{1}{x _{1}}$ vs $\frac{1}{y _{1}}$ …
Chemistry · Solutions · MCQ
Q5.Given below are the atomic numbers of some group 14 elements. The atomic number of the element with lowest melting point is :
Chemistry · Periodic Table and Periodicity · MCQ
Q6.Given below are two statements : Statement (I) : The boiling points of alcohols and phenols increase with increase in the number of C -atoms. Statement (II) : The boiling points of alcohols and phenols are higher in comparison to other…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q7.The $α$ -Helix and $β$ - Pleated sheet structures of protein are associated with its :
Chemistry · Biomolecules · MCQ
Q8.The effect of temperature on spontaneity of reactions are represented as : The incorrect combinations are : Includes table
Chemistry · Thermodynamics · MCQ
Q9.Match List - I with List - II Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Hydrocarbons · MCQ
Q10.Identify the products [A] and [B], respectively in the following reaction: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.Which of the following graphs most appropriately represents a zero order reaction?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q12.Identify the coordination complexes in which the central metal ion has $d^{4}$ configuration. (A) $[FeO_{4}]^{2 -}$ (B) $[Mn (CN)_{6}]^{3 -}$ (C) $[Fe (CN)_{6}]^{3 -}$ … Includes diagram
Chemistry · Coordination Compounds · MCQ
Q13.Identify A, B and C in the given below reaction sequence Includes diagram
Chemistry · Salt Analysis · MCQ
Q14.Standard electrode potentials for a few half cells are mentioned below : $E_{Cu^{2 +} / Cu}^{\circ} = 0.34 V, E_{Zn^{2 +} / Zn}^{\circ} = - 0.76 V E_{Ag^{+} / Ag}^{\circ} = 0.80 V, E_{Mg^{2 +} / Mg}^{\circ} = - 2.37 V$ …
Chemistry · Electrochemistry · MCQ
Q15.Consider the reaction $X_{2} Y (g) ⇌ X_{2} (g) + \frac{1}{2} Y_{2} (g)$ The equation representing correct relationship between the degree of dissociation (x) of $X_{2} Y (g)$ …
Chemistry · Chemical Equilibrium · MCQ
Q16.Given below are two statements : Statement (I) : For a given shell, the total number of allowed orbitals is given by $n^{2}$ . Statement (II) : For any subshell, the spatial orientation of the orbitals is given by $- l$ to $+ l$ values…
Chemistry · Structure of Atom · MCQ
Q17.The ascending order of relative rate of solvolysis of following compounds is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q18.Given below are two statements about X-ray spectra of elements : Statement (I) : A plot of $v$ ( $v =$ frequency of X-rays emitted) vs atomic mass is a straight line. Statement (II) : A plot of $v (u =$ frequency of $X$ -rays emitted) vs…
Chemistry · Structure of Atom · MCQ
Q19.Consider the following reactions $K_{2} Cr_{2} O_{7} KOH - H_{2} O [A] H_{2} SO_{4} - H_{2} O [B] + K_{2} SO_{4}$ …
Chemistry · D and F Block Elements · MCQ
Q20.Given below are two statements: Consider the following reaction Statement (I): In the case of formaldehyde is about 2280, due to small substituents, hydration is faster. Statement (II) : In the case of trichloro acetaldehyde is about 2000… Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q21.0.01 mole of an organic compound $(X)$ containing $10%$ hydrogen, on complete combustion produced $0.9 g H_{2} O$ . Molar mass of $(X)$ is $g mol^{- 1}$ .
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.The bond dissociation enthalpy of $X_{2} Δ H_{bond}^{\circ}$ calculated from the given data is $kJ mol^{- 1}$ . (Nearest integer) $M^{+} X^{-} (s) \to M^{+} (g) + X^{-} (g) Δ H_{lattice}^{\circ} = 800 kJ mol^{- 1} M (s) \to M (g) Δ H_{sub}^{\circ} = 100 kJ mol^{- 1} M (g) \to M^{+} (g) + e^{-} (g) Δ H_{i}^{\circ} = 500 kJ mol^{- 1} X (g) + e^{-} (g) \to X^{-} (g) Δ H_{eg}^{\circ} = - 300 kJ mol^{- 1} M (s) + \frac{1}{2} X_{2} (g) \to M^{+} X^{-} (s) Δ H_{f}^{\circ} = - 400 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q23.When 81.0 g of aluminium is allowed to react with 128.0 g of oxygen gas, the mass of aluminium oxide produced in grams is . (Nearest integer) Given : Molar mass of Al is $27.0 g mol^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.Consider the following sequence of reactions. Total number of $sp^{3}$ hybridised carbon atoms in the major product C formed is . Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q25.A compound ' $X^{'}$ absorbs 2 moles of hydrogen and ' X ' upon oxidation with $KMnO_{4} ∣ H^{+}$ gives The total number of $σ$ bonds present in the compound ' $X^{'}$ ' is … Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q26.If $I = \int_{0}^{\frac{π}{2}} \frac{s i n ^{\frac{3}{2}} x}{s i n ^{\frac{3}{2}} x + c o s ^{\frac{3}{2}} x} d x$ , then $\int_{0}^{2 I} \frac{x s i n x c o s x}{s i n ^{4} x + c o s ^{4} x} d x$ equals :
Mathematics · Definite Integration · MCQ
Q27.The number of complex numbers $z$ , satisfying $∣ z ∣ = 1$ and $\frac{z}{z ˉ} + \frac{z ˉ}{z} = 1$ , is :
Mathematics · Complex Numbers · MCQ
Q28.The length of the chord of the ellipse $\frac{x ^{2}}{4} + \frac{y ^{2}}{2} = 1$ , whose mid-point is $(1, \frac{1}{2})$ , is :
Mathematics · Ellipse · MCQ
Q29.Let the point A divide the line segment joining the points $P (- 1, - 1, 2)$ and $Q (5, 5, 10)$ internally in the ratio $r : 1 (r > 0)$ . If O is the origin and $(OQ \cdot OA) - \frac{1}{5} ∣ OP \times OA ∣^{2} = 10$ …
Mathematics · Vector Algebra · MCQ
Q30.A board has 16 squares as shown in the figure : Out of these 16 squares, two squares are chosen at random. The probability that they have no side in common is : Includes diagram
Mathematics · Probability · MCQ
Q31.If the square of the shortest distance between the lines $\frac{x - 2}{1} = \frac{y - 1}{2} = \frac{z + 3}{- 3}$ and $\frac{x + 1}{2} = \frac{y + 3}{4} = \frac{z + 5}{- 5}$ is $\frac{m}{n}$ , where $m$ , $n$ are coprime numbers, then $m + n$ is equal to :
Mathematics · 3D Geometry · MCQ
Q32.Let $X = R \times R$ . Define a relation R on X as : $(a_{1}, b_{1}) R (a_{2}, b_{2}) \Leftrightarrow b_{1} = b_{2}$ Statement I: $R$ is an equivalence relation. Statement II : For some $(a, b) \in X$ …
Mathematics · Sets and Relations · MCQ
Q33.If the area of the region ${(x, y) : - 1 \leq x \leq 1, 0 \leq y \leq a + e^{∣ x ∣} - e^{- x}, a > 0}$ is $\frac{e ^{2} + 8 e + 1}{e}$ , then the value of $a$ is :
Mathematics · Area Under the Curves · MCQ
Q34.Let the range of the function $f (x) = 6 + 16 cos x \cdot cos (\frac{π}{3} - x) \cdot cos (\frac{π}{3} + x) \cdot sin 3 x \cdot cos 6 x, x \in R$ be $[α, β]$ . Then the distance of the point $(α, β)$ …
Mathematics · Trigonometric Ratio and Identites · MCQ
Q35.The system of equations $x + y + z = 6, x + 2 y + 5 z = 9, x + 5 y + λ z = μ,$ has no solution if
Mathematics · Matrices and Determinants · MCQ
Q36.The distance of the line $\frac{x - 2}{2} = \frac{y - 6}{3} = \frac{z - 3}{4}$ from the point $(1, 4, 0)$ along the line $\frac{x}{1} = \frac{y - 2}{2} = \frac{z + 3}{3}$ is :
Mathematics · 3D Geometry · MCQ
Q37. $x \to \infty lim \frac{( 2 x ^{2} - 3 x + 5 ) ( 3 x - 1 ) ^{\frac{x}{2}}}{( 3 x ^{2} + 5 x + 4 ) ( 3 x + 2 ) ^{x}}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q38.Let $A = [a_{ij}]$ be a $3 \times 3$ matrix such that $A 010 = 001, A 413 = 010$ …
Mathematics · Matrices and Determinants · MCQ
Q39.Let $A = {(x, y) \in R \times R : ∣ x + y ∣ ⩾ 3}$ and $B = {(x, y) \in R \times R : ∣ x ∣ + ∣ y ∣ \leq 3}$ . If $C = {(x, y) \in A \cap B : x = 0$ or $y = 0}$ , then $\sum_{(x, y) \in C} ∣ x + y ∣$ …
Mathematics · Sets and Relations · MCQ
Q40.If in the expansion of $(1 + x)^{p} (1 - x)^{q}$ , the coefficients of $x$ and $x^{2}$ are 1 and -2 , respectively, then $p^{2} + q^{2}$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q41.A rod of length eight units moves such that its ends $A$ and $B$ always lie on the lines $x - y + 2 = 0$ and $y + 2 = 0$ , respectively. If the locus of the point $P$ , that divides the rod $A B$ internally in the ratio $2 : 1$ is $9 (x^{2} + α y^{2} + β x y + γ x + 28 y) - 76 = 0$ …
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q42.Let $\int x^{3} sin x d x = g (x) + C$ , where $C$ is the constant of integration. If $8 (g (\frac{π}{2}) + g^{'} (\frac{π}{2})) = α π^{3} + β π^{2} + γ, α, β, γ \in Z$ , then $α + β - γ$ …
Mathematics · Indefinite Integrals · MCQ
Q43.A spherical chocolate ball has a layer of ice-cream of uniform thickness around it. When the thickness of the ice-cream layer is 1 cm , the ice-cream melts at the rate of $81 cm^{3} / min$ and the thickness of the…
Mathematics · Application of Derivatives · MCQ
Q44.Let the shortest distance from $(a, 0), a > 0$ , to the parabola $y^{2} = 4 x$ be 4 . Then the equation of the circle passing through the point $(a, 0)$ and the focus of the parabola, and having its centre on the axis of the parabola is :
Mathematics · Parabola · MCQ
Q45.Let $x = x (y)$ be the solution of the differential equation $y = (x - y \frac{d x}{d y}) sin (\frac{x}{y}), y > 0$ and $x (1) = \frac{π}{2}$ . Then $cos (x (2))$ is equal to :
Mathematics · Differential Equations · MCQ
Q46.Let $α, β$ be the roots of the equation $x^{2} - ax - b = 0$ with $Im (α) < Im (β)$ . Let $P_{n} = α^{n} - β^{n}$ . If $P_{3} = - 57 i, P_{4} = - 37 i, P_{5} = 117 i$ …
Mathematics · Complex Numbers · Numerical
Q47.The focus of the parabola $y^{2} = 4 x + 16$ is the centre of the circle $C$ of radius 5 . If the values of $λ$ , for which C passes through the point of intersection of the lines $3 x - y = 0$ and $x + λ y = 4$ , are $λ_{1}$ and $λ_{2}, λ_{1} < λ_{2}$ …
Mathematics · Parabola · Numerical
Q48.The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is .
Mathematics · Permutations and Combinations · Numerical
Q49.The roots of the quadratic equation $3 x^{2} - p x + q = 0$ are $1 0^{th}$ and $1 1^{th}$ terms of an arithmetic progression with common difference $\frac{3}{2}$ . If the sum of the first 11 terms of this arithmetic progression is…
Mathematics · Sequences and Series · Numerical
Q50.The variance of the numbers $8, 21, 34, 47, \dots, 320$ is .
Mathematics · Statistics · Numerical
Q51.The equation of a transverse wave travelling along a string is $y (x, t) = 4.0 sin [20 \times 1 0^{- 3} x + 600 t] mm$ , where $x$ is in mm and $t$ is in second. The velocity of the wave is :
Physics · Waves · MCQ
Q52.A plane electromagnetic wave of frequency 20 MHz travels in free space along the $+ x$ direction. At a particular point in space and time, the electric field vector of the wave is $E_{y} = 9.3 Vm^{- 1}$ . Then, the magnetic…
Physics · Electromagnetic Waves · MCQ
Q53.If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon $= 27$ days and gravitational attraction between the satellite and…
Physics · Gravitation · MCQ
Q54.A massless spring gets elongated by amount $x_{1}$ under a tension of 5 N . Its elongation is $x_{2}$ under the tension of 7 N . For the elongation of $(5 x_{1} - 2 x_{2})$ , the tension in the spring will be,
Physics · Properties of Matter · MCQ
Q55.Water of mass $m$ gram is slowly heated to increase the temperature from $T_{1}$ to $T_{γ}$ . The change in entropy of the water, given specific heat of water is $1 Jkg^{- 1} K^{- 1}$ , is :
Physics · Heat and Thermodynamics · MCQ
Q56.What is the current through the battery in the circuit shown below? Includes diagram
Physics · Electronic Devices · MCQ
Q57.Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The binding energy per nucleon is found to be practically independent of the atomic number A , for nuclei with mass…
Physics · Atoms and Nuclei · MCQ
Q58.A ball having kinetic energy KE, is projected at an angle of $6 0^{\circ}$ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?
Physics · Work Power and Energy · MCQ
Q59.In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work function of the metal is 2.14 eV and stopping potential is 2 V , what is the wavelength of the em-wave? (Given $hc = 1242 eVnm$ …
Physics · Dual Nature of Radiation · MCQ
Q60.Two point charges $- 4 μ c$ and $4 μ c$ , constituting an electric dipole, are placed at $(- 9, 0, 0) cm$ and $(9, 0, 0) cm$ in a uniform electric field of strength $1 0^{4} NC^{- 1}$ . The work done on…
Physics · Electrostatics · MCQ
Q61.A concave mirror of focal length $f$ in air is dipped in a liquid of refractive index $μ$ . Its focal length in the liquid will be:
Physics · Geometrical Optics · MCQ
Q62.The width of one of the two slits in Young's double slit experiment is d while that of the other slit is $x d$ . If the ratio of the maximum to the minimum intensity in the interference pattern on the screen is $9 : 4$ then what is…
Physics · Wave Optics · MCQ
Q63.The refractive index of the material of a glass prism is $3$ . The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?
Physics · Geometrical Optics · MCQ
Q64.Two charges $7 μ c$ and $- 4 μ c$ are placed at $(- 7 cm, 0, 0)$ and $(7 cm, 0, 0)$ respectively. Given, $ϵ_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2}$ , the…
Physics · Electrostatics · MCQ
Q65.Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is $P_{1}$ . The reading of the pressure gauge falls to $P_{2}$ when the valve is opened. The speed of water flowing…
Physics · Properties of Matter · MCQ
Q66.The energy of a system is given as $E (t) = α^{3} e^{- β t}$ , where t is the time and $β = 0.3 s^{- 1}$ . The errors in the measurement of $α$ and $t$ are $1.2%$ and $1.6%$ , respectively. At…
Physics · Units and Measurements · MCQ
Q67.Match List - I with List - II Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q68.Using the given $P - V$ diagram, the work done by an ideal gas along the path $A B C D$ is : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q69.A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that $θ (t) = 5 t^{2} - 8 t$ , where $θ (t)$ is the angular position of the rotating…
Physics · Rotational Motion · MCQ
Q70.A galvanometer having a coil of resistance $30Ω$ need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer…
Physics · Current Electricity · MCQ
Q71.A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5 μ F$ . The dielectric constant of the medium between the capacitor plates is 1 . It produces an instantaneous…
Physics · Electromagnetic Waves · Numerical
Q72.In a series LCR circuit, a resistor of $300Ω$ , a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is $\times 1 0^{4}$ radians $s^{- 1}$ …
Physics · Alternating Current · Numerical
Q73.An air bubble of radius 1.0 mm is observed at a depth 20 cm below the free surface of a liquid having surface tension $0.095 J / m^{2}$ and density $1 0^{3} kg / m^{3}$ . The difference between pressure inside…
Physics · Properties of Matter · Numerical
Q74.At steady state the charge on the capacitor, as shown in the circuit below, is $μ$ C. Includes diagram
Physics · Capacitor · Numerical
Q75.A satellite of mass $\frac{M}{2}$ is revolving around earth in a circular orbit at a height of $\frac{R}{3}$ from earth surface. The angular momentum of the satellite is $M \frac{GMR}{x}$ . The value of $x$ is …
Physics · Gravitation · Numerical