New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2024 · 30 Jan · Shift 1

90 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2024 · 30 Jan · Shift 1

2024 · 30 Jan · Shift 1

90 questions · JEE Main

Chemistry30 questions Mathematics30 questions Physics30 questions

Chemical Bonding and Molecular StructureChemistry · 4 questions Haloalkanes and HaloarenesChemistry · 3 questions P Block ElementsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions HydrocarbonsChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Structure of AtomChemistry · 1 questions BiomoleculesChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions Redox ReactionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions DifferentiationMathematics · 2 questions Definite IntegrationMathematics · 3 questions CircleMathematics · 1 questions Vector AlgebraMathematics · 1 questions Application of DerivativesMathematics · 1 questions 3D GeometryMathematics · 3 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions EllipseMathematics · 1 questions StatisticsMathematics · 1 questions ProbabilityMathematics · 2 questions Differential EquationsMathematics · 2 questions Complex NumbersMathematics · 1 questions Trigonometric Functions and EquationsMathematics · 1 questions FunctionsMathematics · 2 questions Sequences and SeriesMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Binomial TheoremMathematics · 1 questions HyperbolaMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Atoms and NucleiPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Alternating CurrentPhysics · 2 questions Rotational MotionPhysics · 2 questions Wave OpticsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Current ElectricityPhysics · 3 questions Electronic DevicesPhysics · 1 questions MagneticsPhysics · 1 questions Laws of MotionPhysics · 1 questions Center of MassPhysics · 1 questions Properties of MatterPhysics · 2 questions GravitationPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions CapacitorPhysics · 1 questions Geometrical OpticsPhysics · 1 questions WavesPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Electromagnetic InductionPhysics · 1 questions

Q1.Aluminium chloride in acidified aqueous solution forms an ion having geometry
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Example of vinylic halide is :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q3.Given below are two statements : Statement (I) : The gas liberated on warming a salt with dil $H_{2} SO_{4}$ , turns a piece of paper dipped in lead acetate into black, it is a confirmatory test for sulphide ion. Statement…
Chemistry · P Block Elements · MCQ
Q4.The final product A, formed in the following multistep reaction sequence is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q5.This reduction reaction is known as: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.Compound A formed in the following reaction reacts with B gives the product C. Find out A and B. Includes diagram
Chemistry · Hydrocarbons · MCQ
Q7.Which of the following molecule/species is most stable?
Chemistry · Basics of Organic Chemistry · MCQ
Q8.What happens to freezing point of benzene when small quantity of napthalene is added to benzene?
Chemistry · Solutions · MCQ
Q9.Match List I with List II. Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Match List I with List II. Choose the correct answer from the options given below : Includes table
Chemistry · Periodic Table and Periodicity · MCQ
Q11.The Lassiagne's extract is boiled with dil $HNO_{3}$ before testing for halogens because,
Chemistry · P Block Elements · MCQ
Q12.Given below are two statements : Statement (I) : The orbitals having same energy are called as degenerate orbitals. Statement (II) : In hydrogen atom, 3p and 3d orbitals are not degenerate orbitals. In the light of the above statements,…
Chemistry · Structure of Atom · MCQ
Q13.Sugar which does not give reddish brown precipitate with Fehling's reagent, is :
Chemistry · Biomolecules · MCQ
Q14.In the given reactions, identify the reagent A and reagent B. Includes diagram
Chemistry · Hydrocarbons · MCQ
Q15.Diamagnetic Lanthanoid ions are :
Chemistry · D and F Block Elements · MCQ
Q16.Choose the correct statements from the following : (A) Ethane-1, 2-diamine is a chelating ligand. (B) Metallic aluminium is produced by electrolysis of aluminium oxide in presence of cryolite. (C) Cyanide ion is used as ligand for leaching…
Chemistry · Coordination Compounds · MCQ
Q17.Following is a confirmatory test for aromatic primary amines. Identify reagent (A) and (B). Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q18.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : $CH_{2} = CH - CH_{2} - Cl$ is an example of allyl halide. Reason (R) : Allyl halides…
Chemistry · Haloalkanes and Haloarenes · MCQ
Q19.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : There is a considerable increase in covalent radius from $N$ to $P$ . However from As to Bi only a…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q20.Structure of 4-Methylpent-2-enal is :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q21.The total number of molecular orbitals formed from $2 s$ and $2 p$ atomic orbitals of a diatomic molecule is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q22.The mass of sodium acetate $(CH_{3} COONa)$ required to prepare $0.35 M$ of aqueous solution is g. (Molar mass of $CH_{3} COONa$ is $82.02 g mol^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q23. $0.05 m^{2}$ thick coating of silver is deposited on a plate of $0.05 m^{2}$ area. The number of silver atoms deposited on plate are $\times 1 0^{23}$ . (At mass $Ag = 108, d = 7.9 g cm^{- 3}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.The compound formed by the reaction of ethanal with semicarbazide contains number of nitrogen atoms.
Chemistry · Compounds Containing Nitrogen · Numerical
Q25.The $pH$ at which $Mg (OH)_{2} [K_{sp} = 1 \times 1 0^{- 11}]$ begins to precipitate from a solution containing $0.10 M Mg^{2 +}$ ions is .
Chemistry · Ionic Equilibrium · Numerical
Q26. $2 MnO_{4}^{-} + bI^{-} + cH_{2} O \to x I_{2} + y MnO_{2} + z \overline{O} H$ If the above equation is balanced with integer coefficients, the value of $z$ is …
Chemistry · Redox Reactions · Numerical
Q27.An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path $A \to B \to C \to A$ as shown in the diagram… Includes diagram
Chemistry · Thermodynamics · Numerical
Q28.The rate of First order reaction is $0.04 mol L^{- 1} s^{- 1}$ at 10 minutes and $0.03 mol L^{- 1} s^{- 1}$ at 20 minutes after initiation. Half life of the reaction is …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q29.On a thin layer chromatographic plate, an organic compound moved by $5 cm$ , while the solvent moved by $\times 1 0^{- 1}$ . The retardation factor of the organic compound is $\times 1 0^{- 1}$ .
Chemistry · Practical Organic Chemistry · Numerical
Q30.If IUPAC name of an element is "Unununnium" then the element belongs to nth group of Periodic table. The value of n is .
Chemistry · Periodic Table and Periodicity · Numerical
Q31.Let $g : R \to R$ be a non constant twice differentiable function such that $g^{'} (\frac{1}{2}) = g^{'} (\frac{3}{2})$ . If a real valued function $f$ is defined as…
Mathematics · Differentiation · MCQ
Q32.The value of $lim_{n \to \infty} \sum_{k = 1}^{n} \frac{n ^{3}}{( n ^{2} + k ^{2} ) ( n ^{2} + 3 k ^{2} )}$ is :
Mathematics · Definite Integration · MCQ
Q33.If the circles $(x + 1)^{2} + (y + 2)^{2} = r^{2}$ and $x^{2} + y^{2} - 4 x - 4 y + 4 = 0$ intersect at exactly two distinct points, then
Mathematics · Circle · MCQ
Q34.Let $a = a_{1} \hat{i} + a_{2} \hat{j} + a_{3} \hat{k}$ and $b = b_{1} \hat{i} + b_{2} \hat{j} + b_{3} \hat{k}$ be two vectors such that $∣ a ∣ = 1, a \cdot b = 2$ …
Mathematics · Vector Algebra · MCQ
Q35.The maximum area of a triangle whose one vertex is at $(0, 0)$ and the other two vertices lie on the curve $y = - 2 x^{2} + 54$ at points $(x, y)$ and $(- x, y)$ , where $y > 0$ , is :
Mathematics · Application of Derivatives · MCQ
Q36.If $f (x) = 2 cos^{4} x 3 + 2 cos^{4} x 2 cos^{4} x 2 sin^{4} x 2 sin^{4} x 3 + 2 sin^{4} x 3 + sin^{2} 2 x sin^{2} 2 x sin^{2} 2 x,$ then $\frac{1}{5} f^{'} (0) =$ …
Mathematics · Differentiation · MCQ
Q37.Let $(α, β, γ)$ be the foot of perpendicular from the point $(1, 2, 3)$ on the line $\frac{x + 3}{5} = \frac{y - 1}{2} = \frac{z + 4}{3}$ . Then $19 (α + β + γ)$ is equal to :
Mathematics · 3D Geometry · MCQ
Q38.A line passing through the point $A (9, 0)$ makes an angle of $3 0^{\circ}$ with the positive direction of $x$ -axis. If this line is rotated about A through an angle of $1 5^{\circ}$ in the clockwise direction, then its equation in…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q39.Consider the system of linear equations $x + y + z = 4 μ, x + 2 y + 2 λ z = 10 μ, x + 3 y + 4 λ^{2} z = μ^{2} + 15$ where $λ, μ \in R$ . Which one of the following statements is NOT correct ?
Mathematics · Matrices and Determinants · MCQ
Q40.Let $f : [- \frac{π}{2}, \frac{π}{2}] \to R$ be a differentiable function such that $f (0) = \frac{1}{2}$ . If the $$\lim_{x \rightarrow 0} \frac{x \int_0^x f(\mathrm{t})…
Mathematics · Definite Integration · MCQ
Q41.If the length of the minor axis of an ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is :
Mathematics · Ellipse · MCQ
Q42.Let M denote the median of the following frequency distribution Then 20M is equal to : Includes table
Mathematics · Statistics · MCQ
Q43.Two integers $x$ and $y$ are chosen with replacement from the set ${0, 1, 2, 3, \dots, 10}$ . Then the probability that $∣ x - y ∣ > 5$ , is :
Mathematics · Probability · MCQ
Q44.Let $A (2, 3, 5)$ and $C (- 3, 4, - 2)$ be opposite vertices of a parallelogram $A B C D$ . If the diagonal $BD = \hat{i} + 2 \hat{j} + 3 \hat{k}$ , then the area of the parallelogram is equal to :
Mathematics · 3D Geometry · MCQ
Q45.Let $y = y (x)$ be the solution of the differential equation $sec x d y + {2 (1 - x) tan x + x (2 - x)} d x = 0$ such that $y (0) = 2$ . Then $y (2)$ is equal to:
Mathematics · Differential Equations · MCQ
Q46.If $z = x + i y, x y e q 0$ , satisfies the equation $z^{2} + i \overset{z}{ˉ} = 0$ , then $z^{2}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q47.If $2 sin^{3} x + sin 2 x cos x + 4 sin x - 4 = 0$ has exactly 3 solutions in the interval $[0, \frac{n π}{2}], n \in N$ , then the roots of the equation $x^{2} + n x + (n - 3) = 0$ belong to :
Mathematics · Trigonometric Functions and Equations · MCQ
Q48.If the domain of the function $f (x) = cos^{- 1} (\frac{2 - ∣ x ∣}{4}) + {lo g_{e} (3 - x)}^{- 1}$ is $[- α, β) - {γ}$ , then $α + β + γ$ is equal to :
Mathematics · Functions · MCQ
Q49.Let $S_{n}$ denote the sum of first $n$ terms of an arithmetic progression. If $S_{20} = 790$ and $S_{10} = 145$ , then $S_{15} - S_{5}$ is :
Mathematics · Sequences and Series · MCQ
Q50.The area (in square units) of the region bounded by the parabola $y^{2} = 4 (x - 2)$ and the line $y = 2 x - 8$ , is :
Mathematics · Area Under the Curves · MCQ
Q51.A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics and Chemistry. It was found that all students passed in atleast one of the subjects, 20 students passed in Mathematics, 25 students passed in Physics,…
Mathematics · Probability · Numerical
Q52.Let $y = y (x)$ be the solution of the differential equation $(1 - x^{2}) d y = [x y + (x^{3} + 2) 3 (1 - x^{2})] d x, - 1 < x < 1, y (0) = 0$ . If $y (\frac{1}{2}) = \frac{m}{n}, m$ …
Mathematics · Differential Equations · Numerical
Q53.The value of $9 0 \int 9 [\frac{10 x}{x + 1}] d x$ , where $[t]$ denotes the greatest integer less than or equal to $t$ , is
Mathematics · Definite Integration · Numerical
Q54.Let $α, β \in N$ be roots of the equation $x^{2} - 70 x + λ = 0$ , where $\frac{λ}{2}, \frac{λ}{3} o t in N$ . If $λ$ assumes the minimum possible value, then $\frac{( α - 1 + β - 1 ) ( λ + 35 )}{∣ α - β ∣}$ …
Mathematics · Quadratic Equation and Inequalities · Numerical
Q55. $Number of integral terms in the expansion of {7^{(\frac{1}{2})} + 1 1^{(\frac{1}{6})}}^{824} is equal to .$
Mathematics · Binomial Theorem · Numerical
Q56.Let the latus rectum of the hyperbola $\frac{x ^{2}}{9} - \frac{y ^{2}}{b ^{2}} = 1$ subtend an angle of $\frac{π}{3}$ at the centre of the hyperbola. If $b^{2}$ is equal to $\frac{l}{m} (1 + n)$ , where $l$ and $m$ …
Mathematics · Hyperbola · Numerical
Q57.If $d_{1}$ is the shortest distance between the lines $x + 1 = 2 y = - 12 z, x = y + 2 = 6 z - 6$ and $d_{2}$ is the shortest distance between the lines $\frac{x - 1}{2} = \frac{y + 8}{- 7} = \frac{z - 4}{5}, \frac{x - 1}{2} = \frac{y - 2}{1} = \frac{z - 6}{- 3}$ …
Mathematics · 3D Geometry · Numerical
Q58.Let $α = 1^{2} + 4^{2} + 8^{2} + 1 3^{2} + 1 9^{2} + 2 6^{2} + \dots$ upto 10 terms and $β = \sum_{n = 1}^{10} n^{4}$ . If $4 α - β = 55 k + 40$ , then $k$ is equal to .
Mathematics · Sequences and Series · Numerical
Q59.Let $A = {1, 2, 3, \dots, 7}$ and let $P (A)$ denote the power set of $A$ . If the number of functions $f : A \to P (A)$ such that $a \in f (a), \forall a \in A$ …
Mathematics · Functions · Numerical
Q60.If the function $f (x) = {\frac{1}{∣ x ∣}, a x^{2} + 2 b, ∣ x ∣ ⩾ 2 ∣ x ∣ < 2$ is differentiable on $R$ , then $48 (a + b)$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q61.The ratio of the magnitude of the kinetic energy to the potential energy of an electron in the 5th excited state of a hydrogen atom is :
Physics · Atoms and Nuclei · MCQ
Q62.The work function of a substance is $3.0 eV$ . The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately;
Physics · Dual Nature of Radiation · MCQ
Q63.Primary coil of a transformer is connected to $220 V$ ac. Primary and secondary turns of the transforms are 100 and 10 respectively. Secondary coil of transformer is connected to two series resistances shown in figure. The output… Includes diagram
Physics · Alternating Current · MCQ
Q64.A particle of mass $m$ is projected with a velocity ' $u$ ' making an angle of $3 0^{\circ}$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its…
Physics · Rotational Motion · MCQ
Q65.The diffraction pattern of a light of wavelength $0.2 mm$ diffracting from a slit of width $100 cm$ is focused on the focal plane of a convex lens of focal length $1^{st}$ . The width of the $1^{st}$ …
Physics · Wave Optics · MCQ
Q66.A series L.R circuit connected with an ac source $E = (25 sin 1000 t) V$ has a power factor of $\frac{1}{2}$ . If the source of emf is changed to $E = (20 sin 2000 t) V$ , the new power factor of the circuit…
Physics · Alternating Current · MCQ
Q67.The electrostatic potential due to an electric dipole at a distance ' $r$ ' varies as :
Physics · Electrostatics · MCQ
Q68.A particle is placed at the point $A$ of a frictionless track $A B C$ as shown in figure. It is gently pushed towards right. The speed of the particle when it reaches the point B is : (Take $g = 10 m / s^{2}$ ). Includes diagram
Physics · Work Power and Energy · MCQ
Q69.Two thermodynamical processes are shown in the figure. The molar heat capacity for process A and B are $C_{A}$ and $C_{B}$ . The molar heat capacity at constant pressure and constant volume are… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q70.The electric field of an electromagnetic wave in free space is represented as $E = E_{0} cos (ω t - kz) \hat{i}$ . The corresponding magnetic induction vector will be :
Physics · Electromagnetic Waves · MCQ
Q71.At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $4 7^{\circ} C$ ?
Physics · Heat and Thermodynamics · MCQ
Q72.Match List I with List II. Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q73.A potential divider circuit is shown in figure. The output voltage V $_{0}$ is : Includes diagram
Physics · Current Electricity · MCQ
Q74.A Zener diode of breakdown voltage $10 V$ is used as a voltage regulator as shown in the figure. The current through the Zener diode is : Includes diagram
Physics · Electronic Devices · MCQ
Q75.Two insulated circular loop A and B of radius ' $a$ ' carrying a current of ' $I$ ' in the anti clockwise direction as shown in the figure. The magnitude of the magnetic induction at the centre will be : Includes diagram
Physics · Magnetics · MCQ
Q76.All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass $2 kg$ is : Includes diagram
Physics · Laws of Motion · MCQ
Q77.An electric toaster has resistance of $60Ω$ at room temperature $(2 7^{\circ} C)$ . The toaster is connected to a $2.75 A$ supply. If the current flowing through it reaches $2.75 A$ , the…
Physics · Current Electricity · MCQ
Q78.A spherical body of mass $10 m$ is dropped from a height of $5 m$ from the ground. After hitting the ground, the body rebounds to a height of $5 m$ . The impulse of force imparted by the ground to the body is…
Physics · Center of Mass · MCQ
Q79.Young's modules of material of a wire of length ' $L$ ' and cross-sectional area $A$ is $Y$ . If the length of the wire is doubled and cross-sectional area is halved then Young's modules will be :
Physics · Properties of Matter · MCQ
Q80.The gravitational potential at a point above the surface of earth is $- 5.12 \times 1 0^{7} J / kg$ and the acceleration due to gravity at that point is $6.4 m / s^{2}$ . Assume that the mean radius of earth…
Physics · Gravitation · MCQ
Q81.The horizontal component of earth's magnetic field at a place is $3.5 \times 1 0^{- 5} T$ . A very long straight conductor carrying current of $2 A$ in the direction from South east to North West is placed. The…
Physics · Magnetic Properties of Matter · Numerical
Q82.Two cells are connected in opposition as shown. Cell $E_{1}$ is of $2Ω$ emf and $2Ω$ internal resistance; the cell $E_{2}$ is of $4Ω$ emf and $4Ω$ internal resistance. The terminal potential… Includes diagram
Physics · Current Electricity · Numerical
Q83.A electron of hydrogen atom on an excited state is having energy $E_{n} = - 0.85 eV$ . The maximum number of allowed transitions to lower energy level is .
Physics · Atoms and Nuclei · Numerical
Q84.A capacitor of capacitance $C$ and potential $V$ has energy $E$ . It is connected to another capacitor of capacitance $2 C$ and potential $\frac{x}{3} E$ . Then the loss of energy is $\frac{x}{3} E$ …
Physics · Capacitor · Numerical
Q85.The distance between object and its two times magnified real image as produced by a convex lens is . The focal length of the lens used is cm.
Physics · Geometrical Optics · Numerical
Q86.In a closed organ pipe, the frequency of fundamental note is $110 Hz$ . A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to $110 Hz$ . If the organ pipe has a…
Physics · Waves · Numerical
Q87.Consider a Disc of mass $2 m$ , radius $10 rad / s$ , rotating with angular velocity of $10 rad / s$ about an axis perpendicular to the plane of rotation. An identical disc is kept gently over the rotating… Includes diagram
Physics · Rotational Motion · Numerical
Q88.The displacement and the increase in the velocity of a moving particle in the time interval of $t$ to $(t + 1) s$ are $50 m / s$ and $50 m / s$ , respectively. The distance travelled by the particle in $(t + 2)^{th} s$ …
Physics · Motion in A Straight Line · Numerical
Q89.Each of three blocks $R$ and $R$ shown in figure has a mass of $A$ . Each of the wires $A$ and $B$ has cross-sectional area $0.005 cm^{2}$ and Young's modulus $2 \times 1 0^{11} N m^{- 2}$ … Includes diagram
Physics · Properties of Matter · Numerical
Q90.A ceiling fan having 3 blades of length $rpm$ each is rotating with an angular velocity of 1200 $rpm$ . The magnetic field of earth in that region is $0.5 G$ and angle of dip is $3 0^{\circ}$ . The emf induced…
Physics · Electromagnetic Induction · Numerical