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2025 · 4 Apr · Shift 1

75 questions · JEE Main

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2025 · 4 Apr · Shift 1

2025 · 4 Apr · Shift 1

75 questions · JEE Main

Chemistry25 questions Mathematics25 questions Physics25 questions

Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions HydrocarbonsChemistry · 1 questions Structure of AtomChemistry · 1 questions D and F Block ElementsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions ThermodynamicsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions P Block ElementsChemistry · 2 questions BiomoleculesChemistry · 2 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Redox ReactionsChemistry · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions 3D GeometryMathematics · 2 questions Sequences and SeriesMathematics · 2 questions EllipseMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Definite IntegrationMathematics · 1 questions Area Under the CurvesMathematics · 2 questions ProbabilityMathematics · 2 questions Vector AlgebraMathematics · 1 questions Binomial TheoremMathematics · 2 questions FunctionsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions CircleMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Complex NumbersMathematics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions Current ElectricityPhysics · 1 questions Alternating CurrentPhysics · 1 questions Properties of MatterPhysics · 2 questions Rotational MotionPhysics · 3 questions ElectrostaticsPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Geometrical OpticsPhysics · 2 questions WavesPhysics · 1 questions Laws of MotionPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions GravitationPhysics · 1 questions Electronic DevicesPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions CapacitorPhysics · 1 questions

Q1.For $A_{2} + B_{2} ⇌ 2 AB E_{a}$ for forward and backward reaction are 180 and $200 kJ mol^{- 1}$ respectively If catalyst lowers $E_{a}$ for both…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q2.Predict the major product of the following reaction sequence:- Includes diagram
Chemistry · Hydrocarbons · MCQ
Q3.Which one of the following about an electron occupying the 1 s orbital in a hydrogen atom is incorrect? (Bohr's radius is represented by $a_{0}$ )
Chemistry · Structure of Atom · MCQ
Q4.Rate law for a reaction between $A$ and $B$ is given by $r = k [A]^{n} [B]^{m}$ If concentration of $A$ is doubled and concentration of $B$ is halved from their initial value, the ratio…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q5.Pair of transition metal ions having the same number of unpaired electrons is
Chemistry · D and F Block Elements · MCQ
Q6.On charging the lead storage battery, the oxidation state of lead changes from $x_{1}$ to $y_{1}$ at the anode and from $x_{2}$ to $y_{2}$ at the cathode. The values of $x_{1}, y_{1}, x_{2}, y_{2}$ are respectively :
Chemistry · Electrochemistry · MCQ
Q7.Aldol condensation is a popular and classical method to prepare $α, β$ -unsaturated carbonyl compounds. This reaction can be both intermolecular and intramolecular. Predict which one of the following is not a product of…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.Benzene is treated with oleum to produce compound $(X)$ which when further heated with molten sodium hydroxide followed by acidification produces compound $(Y)$ . The compound Y is treated with zinc metal to produce…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.One mole of an ideal gas expands isothermally and reversibly from $10 dm^{3}$ to $20 dm^{3}$ at 300 K . $Δ U, q$ and work done in the process respectively are Given: $R = 8.3 J K^{- 1} mol^{- 1} ln 10 = 2.3 lo g 2 = 0.30 lo g 3 = 0.48$ …
Chemistry · Thermodynamics · MCQ
Q10.Given below are two statements. In the light of the above statements, choose the correct answer from the options given below: Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q11.Which one of the following complexes will have $Δ_{o} = 0$ and $μ = 5.96$ B.M?
Chemistry · Coordination Compounds · MCQ
Q12.The major product (A) formed in the following reaction sequence is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q13.Given below are two statements: Statement I: Nitrogen forms oxides with +1 to +5 oxidation states due to the formation of $p π - p π$ bond with oxygen. Statement II: Nitrogen does not form halides with +5 oxidation…
Chemistry · P Block Elements · MCQ
Q14.Number of stereoisomers possible for the complexes, $[CrCl_{3} (py)_{3}]$ and $[CrCl_{2} (ox)_{2}]^{3 -}$ are respectively $(p y =$ pyridine, $)$ oxalate $)$
Chemistry · Coordination Compounds · MCQ
Q15.An organic compound $(X)$ with molecular formula $C_{3} H_{6} O$ is not readily oxidised. On reduction it gives $C_{3} H_{8} O (Y)$ which reacts with HBr to give a bromide $(Z)$ …
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.Let us consider a reversible reaction at temperature, T. In this reaction, both $Δ H$ and $Δ S$ were observed to have positive values. If the equilibrium temperature is Te , then the reaction becomes spontaneous…
Chemistry · Thermodynamics · MCQ
Q17.Which of the following molecule(s) show/s paramagnetic behavior? A. $O_{2}$ B. $N_{2}$ C. $F_{2}$ D. $S_{2}$ E. $Cl_{2}$ Choose the correct answer from the options given below:
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q18.Identify the pair of reactants that upon reaction, with elimination of HCl will give rise to the dipeptide Gly-Ala.
Chemistry · Biomolecules · MCQ
Q19.Given below are the pairs of group 13 elements showing their relation in terms of atomic radius. $(B < Al), (Al < Ga), (Ga < In)$ and $(In < Tl)$ Identify the…
Chemistry · P Block Elements · MCQ
Q20. $X Y$ is the membrane/partition between two chambers 1 and 2 containing sugar solutions of concentration $c_{1}$ and $c_{2} (c_{1} > c_{2}) mol L^{- 1}$ . For the reverse osmosis to take place identify the correct… Includes diagram
Chemistry · Solutions · MCQ
Q21.The pH of a 0.01 M weak acid $HX (K_{a} = 4 \times 1 0^{- 10})$ is found to be 5 . Now the acid solution is diluted with excess of water so that the pH of the solution changes to 6 . The new concentration of the…
Chemistry · Ionic Equilibrium · Numerical
Q22.In Dumas' method for estimation of nitrogen 1 g of an organic compound gave 150 mL of nitrogen collected at 300 K temperature and 900 mm Hg pressure. The percentage composition of nitrogen in the compound is %…
Chemistry · Practical Organic Chemistry · Numerical
Q23.Fortification of food with iron is done using $FeSO_{4} \cdot 7 H_{2} O$ . The mass in grams of the $FeSO_{4}$ . $7 H_{2} O$ required to achieve 12 ppm of iron in 150 kg of wheat is …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24. $KMnO_{4}$ acts as an oxidising agent in acidic medium. ' X ' is the difference between the oxidation states of Mn in reactant and product. ' Y ' is the number of ' d ' electrons present in the brown red precipitate formed at the…
Chemistry · Redox Reactions · Numerical
Q25.The total number of hydrogen bonds of a DNA-double Helix strand whose one strand has the following sequence of bases is . $5^{'} - G - G - C - A - A - A - T - C - G - G - C - T - A - 3^{'}$ …
Chemistry · Biomolecules · Numerical
Q26.Let $f : R \to R$ be a continuous function satisfying $f (0) = 1$ and $f (2 x) - f (x) = x$ for all $x \in R$ . If $lim_{n \to \infty} {f (x) - f (\frac{x}{2 ^{n}})} = G (x)$ , then $\sum_{r = 1}^{10} G (r^{2})$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let the shortest distance between the lines $\frac{x - 3}{3} = \frac{y - α}{- 1} = \frac{z - 3}{1}$ and $\frac{x + 3}{- 3} = \frac{y + 7}{2} = \frac{z - β}{4}$ be $330$ . Then the positive value of $5 α + β$ is
Mathematics · 3D Geometry · MCQ
Q28.Let $A = {1, 6, 11, 16, \dots}$ and $B = {9, 16, 23, 30, \dots}$ be the sets consisting of the first 2025 terms of two arithmetic progressions. Then $n (A \cup B)$ is
Mathematics · Sequences and Series · MCQ
Q29.The length of the latus-rectum of the ellipse, whose foci are $(2, 5)$ and $(2, - 3)$ and eccentricity is $\frac{4}{5}$ , is
Mathematics · Ellipse · MCQ
Q30.Consider the equation $x^{2} + 4 x - n = 0$ , where $n \in [20, 100]$ is a natural number. Then the number of all distinct values of $n$ , for which the given equation has integral roots, is equal to
Mathematics · Quadratic Equation and Inequalities · MCQ
Q31.Consider the sets $A = {(x, y) \in R \times R : x^{2} + y^{2} = 25}, B = {(x, y) \in R \times R : x^{2} + 9 y^{2} = 144}$ , $C = {(x, y) \in Z \times Z : x^{2} + y^{2} \leq 4}$ …
Mathematics · Sets and Relations · MCQ
Q32. $1 + 3 + 5^{2} + 7 + 9^{2} + \dots$ upto 40 terms is equal to
Mathematics · Sequences and Series · MCQ
Q33.If $10 sin^{4} θ + 15 cos^{4} θ = 6$ , then the value of $\frac{27 cosec ^{6} θ + 8 s e c ^{6} θ}{16 s e c ^{8} θ}$ is
Mathematics · Trigonometric Ratio and Identites · MCQ
Q34.The value of $\int_{- 1}^{1} \frac{( 1 + ∣ x ∣ - x ) e ^{x} + ( ∣ x ∣ - x ) e ^{- x}}{e ^{x} + e ^{- x}} d x$ is equal to
Mathematics · Definite Integration · MCQ
Q35.Let $f : [0, \infty) \to R$ be a differentiable function such that $f (x) = 1 - 2 x + \int_{0}^{x} e^{x - t} f (t) d t$ for all $x \in [0, \infty)$ . Then the area of the region bounded by $y = f (x)$ and the coordinate axes is
Mathematics · Area Under the Curves · MCQ
Q36.The probability, of forming a 12 persons committee from 4 engineers, 2 doctors and 10 professors containing at least 3 engineers and at least 1 doctor, is
Mathematics · Probability · MCQ
Q37.A box contains 10 pens of which 3 are defective. A sample of 2 pens is drawn at random and let $X$ denote the number of defective pens. Then the variance of $X$ is
Mathematics · Probability · MCQ
Q38.Consider two vectors $u = 3 \hat{i} - \hat{j}$ and $v = 2 \hat{i} + \hat{j} - λ \hat{k}, λ > 0$ . The angle between them is given by $cos^{- 1} (\frac{5}{2 7})$ . Let $v = v_{1} + v_{2}$ …
Mathematics · Vector Algebra · MCQ
Q39.For an integer $n \geq 2$ , if the arithmetic mean of all coefficients in the binomial expansion of $(x + y)^{2 n - 3}$ is 16 , then the distance of the point $P (2 n - 1, n^{2} - 4 n)$ from the line $x + y = 8$ is
Mathematics · Binomial Theorem · MCQ
Q40.Let $A$ and $B$ be two distinct points on the line $L : \frac{x - 6}{3} = \frac{y - 7}{2} = \frac{z - 7}{- 2}$ . Both $A$ and $B$ are at a distance $217$ from the foot of perpendicular drawn from the point $(1, 2, 3)$ on the line $L$ . If $O$ is…
Mathematics · 3D Geometry · MCQ
Q41.Let $f, g : (1, \infty) \to R$ be defined as $f (x) = \frac{2 x + 3}{5 x + 2}$ and $g (x) = \frac{2 - 3 x}{1 - x}$ . If the range of the function fog: $[2, 4] \to R$ is $[α, β]$ , then $\frac{1}{β - α}$ is…
Mathematics · Functions · MCQ
Q42.If $lim_{x \to 1^{+}} \frac{( x - 1 ) ( 6 + λ c o s ( x - 1 )) + μ s i n ( 1 - x )}{( x - 1 ) ^{3}} = - 1$ , where $λ, μ \in R$ , then $λ + μ$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q43.Let the three sides of a triangle are on the lines $4 x - 7 y + 10 = 0, x + y = 5$ and $7 x + 4 y = 15$ . Then the distance of its orthocentre from the orthocentre of the tringle formed by the lines $x = 0, y = 0$ and $x + y = 1$ is
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q44.In the expansion of $(32 + \frac{1}{3 3})^{n}, n \in N$ , if the ratio of $1 5^{th}$ term from the beginning to the $1 5^{th}$ term from the end is $\frac{1}{6}$ , then the value of $^{n} C_{3}$ …
Mathematics · Binomial Theorem · MCQ
Q45.Considering the principal values of the inverse trigonometric functions, $sin^{- 1} (\frac{3}{2} x + \frac{1}{2} 1 - x^{2}), - \frac{1}{2} < x < \frac{1}{2}$ , is equal to
Mathematics · Inverse Trigonometric Functions · MCQ
Q46.Let $C$ be the circle $x^{2} + (y - 1)^{2} = 2, E_{1}$ and $E_{2}$ be two ellipses whose centres lie at the origin and major axes lie on x -axis and y -axis respectively. Let the straight line $x + y = 3$ touch the curves $C, E_{1}$ and $E_{2}$ at $P (x_{1}, y_{1}), Q (x_{2}, y_{2})$ …
Mathematics · Circle · Numerical
Q47.Let $m$ and $n$ be the number of points at which the function $f (x) = max {x, x^{3}, x^{5}, \dots x^{21}}, x \in R$ , is not differentiable and not continuous, respectively. Then $m + n$ is equal to…
Mathematics · Limits Continuity and Differentiability · Numerical
Q48.Let $A = cos θ 0 sin θ 010 - sin θ 0 cos θ$ . If for some $θ \in (0, π), A^{2} = A^{T}$ , then the sum of the diagonal elements of the…
Mathematics · Matrices and Determinants · Numerical
Q49.If the area of the region ${(x, y) : ∣ x - 5∣ \leq y \leq 4 x}$ is $A$ , then $3 A$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q50.Let $A = {z \in C : ∣ z - 2 - i ∣ = 3}, B = {z \in C : Re (z - i z) = 2}$ and $S = A \cap B$ . Then $\sum_{z \in S} ∣ z ∣^{2}$ is equal to .
Mathematics · Complex Numbers · Numerical
Q51.Consider the sound wave travelling in ideal gases of $He, CH_{4}$ , and $CO_{2}$ . All the gases have the same ratio $\frac{P}{ρ}$ , where $P$ is the pressure and $ρ$ is the density. The ratio of the speed of…
Physics · Heat and Thermodynamics · MCQ
Q52.In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of $M^{P} L^{Q} T^{R} A^{S}$ , where value of ' $Q$ ' and ' $R$ ' are
Physics · Units and Measurements · MCQ
Q53.Two simple pendulums having lengths $l_{1}$ and $l_{2}$ with negligible string mass undergo angular displacements $θ_{1}$ and $θ_{2}$ , from their mean positions, respectively. If the angular accelerations of both pendulums are same, then…
Physics · Simple Harmonic Motion · MCQ
Q54.In a Young's double slit experiment, the slits are separated by 0.2 mm . If the slits separation is increased to 0.4 mm , the percentage change of the fringe width is :
Physics · Wave Optics · MCQ
Q55.Current passing through a wire as function of time is given as $I (t) = 0.02 t + 0.01 A$ . The charge that will flow through the wire from $t = 1 s$ to $t = 2 s$ is
Physics · Current Electricity · MCQ
Q56.An alternating current is represented by the equation, $i = 1002 sin (100 π t)$ ampere. The RMS value of current and the frequency of the given alternating current are
Physics · Alternating Current · MCQ
Q57.Two liquids $A$ and $B$ have $θ_{A}$ and $θ_{B}$ as contact angles in a capillary tube. If $K = cos θ_{A} / cos θ_{B}$ , then identify the correct statement:
Physics · Properties of Matter · MCQ
Q58.Which of the following are correct expression for torque acting on a body? A. $τ = r \times L$ B. $τ = \frac{d}{d t} (r \times p)$ C. $τ = r \times \frac{d p}{d t}$ D. $τ = I α$ …
Physics · Rotational Motion · MCQ
Q59.Two infinite identical charged sheets and a charged spherical body of charge density ' $ρ$ ' are arranged as shown in figure. Then the correct relation between the electrical fields at $A, B, C$ and D points is: Includes diagram
Physics · Electrostatics · MCQ
Q60.Considering the Bohr model of hydrogen like atoms, the ratio of the radius of $5^{th}$ orbit of the electron in $Li^{2 +}$ and $He^{+}$ is
Physics · Atoms and Nuclei · MCQ
Q61.When an object is placed 40 cm away from a spherical mirror an image of magnification $\frac{1}{2}$ is produced. To obtain an image with magnification of $\frac{1}{3}$ , the object is to be moved :
Physics · Geometrical Optics · MCQ
Q62.In an experiment with a closed organ pipe, it is filled with water by $(\frac{1}{5})$ th of its volume. The frequency of the fundamental note will change by
Physics · Waves · MCQ
Q63.A body of mass $m$ is suspended by two strings making angles $θ_{1}$ and $θ_{2}$ with the horizontal ceiling with tensions $T_{1}$ and $T_{2}$ simultaneously. $T_{1}$ and $T_{2}$ are related by $T_{1} = 3 T_{2}$ , the angles $θ_{1}$ and $θ_{2}$ …
Physics · Laws of Motion · MCQ
Q64.A small mirror of mass $m$ is suspended by a massless thread of length $l$ . Then the small angle through which the thread will be deflected when a short pulse of laser of energy E falls normal on the mirror ( $c =$ speed of light in…
Physics · Dual Nature of Radiation · MCQ
Q65.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason $R$ Assertion A : The kinetic energy needed to project a body of mass $m$ from earth surface to infinity is $\frac{1}{2} mgR$ …
Physics · Gravitation · MCQ
Q66.The Boolean expression $Y = A \overset{ˉ}{B} C + \overset{ˉ}{A} \overset{ˉ}{C}$ can be realised with which of the following gate configurations. A. One 3-input AND gate, 3 NOT gates and one 2-input OR gate, One 2-input AND gate, B. One 3 -input AND gate,…
Physics · Electronic Devices · MCQ
Q67.The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are $3 \times 1 0^{- 7} m$ and $600 m / s$ , respectively. Find the frequency of its collisions.
Physics · Heat and Thermodynamics · MCQ
Q68.If $L$ and $P$ represent the angular momentum and linear momentum respectively of a particle of mass ' $m$ ' having position vector as $r = a (\hat{i} cos ω t + \hat{j} sin ω t)$ . The direction of force is
Physics · Rotational Motion · MCQ
Q69.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $R$ Assertion A : In photoelectric effect, on increasing the intensity of incident light the stopping potential increases. Reason R…
Physics · Dual Nature of Radiation · MCQ
Q70.Two small spherical balls of mass 10 g each with charges $- 2 μ C$ and $2 μ C$ , are attached to two ends of very light rigid rod of length 20 cm . The arrangement is now placed near an infinite nonconducting charge…
Physics · Electrostatics · MCQ
Q71.A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping. The ratio of their velocities when reached at the bottom of the plane is $\frac{x}{5}$ where $x =$ …
Physics · Rotational Motion · Numerical
Q72.Distance between object and its image (magnified by $- \frac{1}{3}$ ) is 30 cm . The focal length of the mirror used is $(\frac{x}{4}) cm$ , where magnitude of value of $x$ is .
Physics · Geometrical Optics · Numerical
Q73.Two slabs with square cross section of different materials $(1, 2)$ with equal sides $(l)$ and thickness $d_{1}$ and $d_{2}$ such that $d_{2} = 2 d_{1}$ and $l > d_{2}$ . Considering lower edges of these slabs are fixed to the floor, we apply equal…
Physics · Properties of Matter · Numerical
Q74.Conductor wire ABCDE with each arm 10 cm in length is placed in magnetic field of $\frac{1}{2}$ Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of $10 cm / s$ ,… Includes diagram
Physics · Electromagnetic Induction · Numerical
Q75.Four capacitors each of capacitance $16 μ F$ are connected as shown in the figure. The capacitance between points $A$ and $B$ is : (in $μ F$ ). Includes diagram
Physics · Capacitor · Numerical