New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2020 · 8 Jan · Shift 1

63 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
2020 · 8 Jan · Shift 1

2020 · 8 Jan · Shift 1

63 questions · JEE Main

Chemistry20 questions Mathematics19 questions Physics24 questions

Periodic Table and PeriodicityChemistry · 2 questions SolutionsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions Coordination CompoundsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions ElectrochemistryChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions BiomoleculesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Permutations and CombinationsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions 3D GeometryMathematics · 1 questions Application of DerivativesMathematics · 1 questions FunctionsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions ProbabilityMathematics · 1 questions ParabolaMathematics · 1 questions Differential EquationsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions StatisticsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Complex NumbersMathematics · 1 questions DifferentiationMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Sequences and SeriesMathematics · 1 questions ElectrostaticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Center of MassPhysics · 2 questions Rotational MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Properties of MatterPhysics · 2 questions GravitationPhysics · 1 questions Motion in A PlanePhysics · 1 questions WavesPhysics · 1 questions Geometrical OpticsPhysics · 3 questions CapacitorPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Circular MotionPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Current ElectricityPhysics · 1 questions Electronic DevicesPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions MagneticsPhysics · 1 questions

Q1.The third ionization enthalpy is minimum for :
Chemistry · Periodic Table and Periodicity · MCQ
Q2.A graph of vapour pressure and temperature for three different liquids X, Y, and Z is shown below : The following inferences are made : (A) X has higher intermolecular interactions compared to Y. (B) X has lower intermolecular interactions… Includes diagram
Chemistry · Solutions · MCQ
Q3.Arrange the following compounds in increasing order of C–OH bond length : methanol, phenol, p-ethoxyphenol
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.The complex that can show fac- and mer-isomers is :
Chemistry · Coordination Compounds · MCQ
Q5.The major products A and B in the following reactions are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q6.For the Balmer series in the spectrum of H atom, $\overline{u} = R_{H} {\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}}}$ , the correct statements among (I) to (IV) are : (I) As wavelength decreases, the lines in the series converge…
Chemistry · Structure of Atom · MCQ
Q7.The magnitude of work done by a gas that undergoes a reversible expansion along the path ABC shown in the figure is . Includes diagram
Chemistry · Thermodynamics · Numerical
Q8.Ferrous sulphate heptahydrate is used to fortify foods with iron. The amount (in grams) of the salt required to achieve 10 ppm of iron in 100 kg of wheat is . Atomic weight : Fe = 55.85; S = 32.00; O = 16.00
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q9.What would be the electrode potential for the given half cell reaction at pH = 5? . 2 $H_{2} O$ $\to$ $O_{2}$ + 4 $H$ $\oplus$ + 4e– ; $E_{r e d}^{0}$ = 1.23 V (R = 8.314 J mol–1 K–1 ; Temp = 298 k; oxygen under std. atm.…
Chemistry · Electrochemistry · Numerical
Q10.The volume (in mL) of 0.125 M $A g N O_{3}$ required to quantitatively precipitate chloride ions in 0.3 g of $[C o (N H_{3})_{6}] C l_{3}$ is . M $[C o (N H_{3})_{6} C l_{3}]$ = 267.46 g/mol M $A g N O_{3}$ = 169.87 g/mol
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q11.The decreasing order of reactivity towards dehydrohalogenation (E1) reaction of the following compounds is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q12.The first ionization energy (in kJ/mol) of Na, Mg, Al and Si respectively, are :
Chemistry · Periodic Table and Periodicity · MCQ
Q13.Which of the following statement is not true for glucose?
Chemistry · Biomolecules · MCQ
Q14.The rate of a certain biochemical reaction at physiological temperature (T) occurs 106 times faster with enzyme than without. The change in the activation energy upon adding enzyme is :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q15.The strength of an aqueous NaOH solution is most accurately determined by titrating : (Note : consider that an appropriate indicator is used)
Chemistry · Ionic Equilibrium · MCQ
Q16.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q17.The stoichiometry and solubility product of a salt with the solubility curve given below is, respectively : Includes diagram
Chemistry · Ionic Equilibrium · MCQ
Q18.A flask contains a mixture of isohexane and 3-methylpentane. One of the liquids boils at 63oC while the other boils at 60oC What is the best way to separate the two liquids and which one will be distilled out first ?
Chemistry · Basics of Organic Chemistry · MCQ
Q19.The predominant intermolecular forces present in ethyl acetate, a liquid, are:
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q20.The most suitable reagent for the given conversion is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q21.An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that at the most three of them are red is .
Mathematics · Permutations and Combinations · Numerical
Q22.The least positive value of 'a' for which the equation 2x2 + (a – 10)x + $\frac{33}{2}$ = 2a has real roots is
Mathematics · Quadratic Equation and Inequalities · Numerical
Q23.The number of all 3 × 3 matrices A, with enteries from the set {–1, 0, 1} such that the sum of the diagonal elements of AAT is 3, is
Mathematics · Matrices and Determinants · Numerical
Q24.The shortest distance between the lines $\frac{x - 3}{3} = \frac{y - 8}{- 1} = \frac{z - 3}{1}$ and $\frac{x + 3}{- 3} = \frac{y + 7}{2} = \frac{z - 6}{4}$ is :
Mathematics · 3D Geometry · MCQ
Q25.Let ƒ(x) = xcos–1(–sin|x|), $x \in [- \frac{π}{2}, \frac{π}{2}]$ , then which of the following is true?
Mathematics · Application of Derivatives · MCQ
Q26.The inverse function of f(x) = $\frac{8 ^{2 x} - 8 ^{- 2 x}}{8 ^{2 x} + 8 ^{- 2 x}}$ , x $\in$ (-1, 1), is :
Mathematics · Functions · MCQ
Q27.If $\int \frac{c o s x d x}{s i n ^{3} x ( 1 + s i n ^{6} x ) ^{2/3}} = f (x) (1 + sin^{6} x)^{1/ λ} + c$ where c is a constant of integration, then $λ f (\frac{π}{3})$ …
Mathematics · Indefinite Integrals · MCQ
Q28.Let A and B be two independent events such that P(A) = $\frac{1}{3}$ and P(B) = $\frac{1}{6}$ . Then, which of the following is TRUE?
Mathematics · Probability · MCQ
Q29.The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x2 = 4y, internally in the ratio 1 : 2, is :
Mathematics · Parabola · MCQ
Q30.For which of the following ordered pairs ( $μ$ , $δ$ ), the system of linear equations x + 2y + 3z = 1 3x + 4y + 5z = $μ$ 4x + 4y + 4z = $δ$ is inconsistent ?
Mathematics · Matrices and Determinants · MCQ
Q31.Let y = y(x) be a solution of the differential equation, $1 - x^{2} \frac{d y}{d x} + 1 - y^{2} = 0$ , |x| < 1. If $y (\frac{1}{2}) = \frac{3}{2}$ , then $y (- \frac{1}{2})$ …
Mathematics · Differential Equations · MCQ
Q32.For a > 0, let the curves C1 : y2 = ax and C2 : x2 = ay intersect at origin O and a point P. Let the line x = b (0 < b < a) intersect the chord OP and the x-axis at points Q and R, respectively. If the line x = b bisects the area…
Mathematics · Area Under the Curves · MCQ
Q33.The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 resepectively. Each of these 10 observations is multiplied by p and then reduced by q, where p $e$ 0 and q $e$ 0. If the new mean and new s.d. become half of their…
Mathematics · Statistics · MCQ
Q34.Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of $Δ$ PAB = 5 sq. units and it lies on the line, 3x + y – 4 $λ$ = 0, then a value of $λ$ is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q35.If the equation, x2 + bx + 45 = 0 (b $\in$ R) has conjugate complex roots and they satisfy |z +1| = 2 $10$ , then :
Mathematics · Complex Numbers · MCQ
Q36.Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1. If $\frac{d y}{d x} = \frac{1}{2} \frac{d}{d x} (sin^{- 1} (f (x)))$ and $y (3) = \frac{π}{6}$ , then y( $- 3$ …
Mathematics · Differentiation · MCQ
Q37. $x \to 0 lim (\frac{3 x ^{2} + 2}{7 x ^{2} + 2})^{\frac{1}{x ^{2}}}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q38.Let ƒ : R $\to$ R be such that for all x $\in$ R (21+x + 21–x), ƒ(x) and (3x + 3–x) are in A.P., then the minimum value of ƒ(x) is
Mathematics · Sequences and Series · MCQ
Q39.If a, b and c are the greatest value of 19Cp, 20Cq and 21Cr respectively, then :
Mathematics · Permutations and Combinations · MCQ
Q40.In finding the electric field using Gauss Law the formula $E = \frac{q _{e n c}}{ε _{0} ∣ A ∣}$ is applicable. In the formula $ε_{0}$ is permittivity of free space, A…
Physics · Electrostatics · MCQ
Q41.When photon of energy 4.0 eV strikes the surface of a metal A, the ejected photoelectrons have maximum kinetic energy TA eV end de-Broglie wavelength $λ_{A}$ . The maximum kinetic energy of photoelectrons liberated from another metal B…
Physics · Dual Nature of Radiation · MCQ
Q42.The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4kg. (The coordinates of the same are shown in figure) are : Includes diagram
Physics · Center of Mass · MCQ
Q43.Consider a uniform rod of mass M = 4m and length $ℓ$ pivoted about its centre. A mass m moving with velocity v making angle $θ = \frac{π}{4}$ to the rod's long axis collides with one end of the rod and sticks to it. The angular…
Physics · Rotational Motion · MCQ
Q44.The dimension of stopping potential V0 in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' and ampere A is :
Physics · Units and Measurements · MCQ
Q45.Consider a solid sphere of radius R and mass density $ρ (r) = ρ_{0} (1 - \frac{r ^{2}}{R ^{2}})$ , $0 < r \leq R$ The minimum density of a liquid in which it will float is :
Physics · Properties of Matter · MCQ
Q46.Consider two solid spheres of radii R1 = 1m, R2 = 2m and masses M1 and M2, respectively. The gravitational field due to sphere (1) and (2) are shown. The value of $\frac{M _{1}}{M _{2}}$ is : Includes diagram
Physics · Gravitation · MCQ
Q47.Three charged particle A, B and C with charges –4q, 2q and –2q are present on the circumference of a circle of radius d. the charged particles A, C and centre O of the circle formed an equilateral triangle as shown in figure. Electric… Includes diagram
Physics · Electrostatics · MCQ
Q48.A particle is moving along the x-axis with its coordinate with the time 't' given be x(t) = 10 + 8t – 3t2. Another particle is moving the y-axis with its coordinate as a function of time given by y(t) = 5 – 8t3. At t = 1s, the speed of the…
Physics · Motion in A Plane · Numerical
Q49.A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300 m/s, the frequency difference between the fundamental and second harmonic of this…
Physics · Waves · Numerical
Q50.A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved surface is 30 cm and the refractive index of the lens material is 1.5, then the focal length of the lens (in cm) is …
Physics · Geometrical Optics · Numerical
Q51.A body A, of mass m = 0.1 kg has an initial velocity of 3 $i$ ms-1 . It collides elastically with another body, B of the same mass which has an initial velocity of 5 $j$ ms-1. After collision, A moves with a velocity $v = 4 (i + j)$ …
Physics · Center of Mass · Numerical
Q52.The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability $\frac{4}{3}$ for this wavelength, will be :
Physics · Geometrical Optics · MCQ
Q53.Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individually connected to a voltage source of 1V, the energy stored in the capacitor C2 is 4 times that of C1. If these…
Physics · Capacitor · MCQ
Q54.A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically in water at 0°C such that its height above the water surface is 20 cm. When the temperature of water is increased to…
Physics · Properties of Matter · MCQ
Q55.The graph which depicts the results of Rutherford gold foil experiment with $α$ -particales is : $θ$ : Scattering angle Y : Number of scattered $α$ -particles detected (Plots are schematic and not to scale)
Physics · Atoms and Nuclei · MCQ
Q56.A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $ℓ$ . The other end is fixed. The system is given an angular speed $ω$ about the fixed end of the spring such that it rotates…
Physics · Circular Motion · MCQ
Q57.At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500 Gauss, in the next 5s, then induced EMF in the loop is : Includes diagram
Physics · Electromagnetic Induction · MCQ
Q58.Four resistances of 15 $Ω$ , 12 $Ω$ , 4 $Ω$ and 10 $Ω$ respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of 10 $Ω$ to balance the…
Physics · Current Electricity · Numerical
Q59.Boolean relation at the output stage-Y for the following circuit is : Includes diagram
Physics · Electronic Devices · MCQ
Q60.The magnifying power of a telescope with tube 60 cm is 5. What is the focal length of its eye piece ?
Physics · Geometrical Optics · MCQ
Q61.A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is : (Diagrams are schematic and not to scale) Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q62.Photon with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 1012 m/s2 by an applied magnetic field (west to east). The value of magnetic field : (Rest mass of proton is 1.6 × 10–27 kg) :
Physics · Magnetics · MCQ
Q63.The plot that depicts the behavior of the mean free time t (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (T), qualitatively, is: (Graphs are schematic and not drawn to scale)
Physics · Heat and Thermodynamics · MCQ