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2020 · 5 Sep · Shift 1

63 questions · JEE Main

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2020 · 5 Sep · Shift 1

2020 · 5 Sep · Shift 1

63 questions · JEE Main

Chemistry19 questions Mathematics21 questions Physics23 questions

Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions D and F Block ElementsChemistry · 2 questions BiomoleculesChemistry · 2 questions Chemical EquilibriumChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions HydrocarbonsChemistry · 1 questions Permutations and CombinationsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions Indefinite IntegralsMathematics · 1 questions EllipseMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Sets and RelationsMathematics · 1 questions StatisticsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Complex NumbersMathematics · 1 questions 3D GeometryMathematics · 1 questions Definite IntegrationMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Differential EquationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Atoms and NucleiPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Rotational MotionPhysics · 2 questions Electronic DevicesPhysics · 1 questions Units and MeasurementsPhysics · 1 questions CapacitorPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions WavesPhysics · 2 questions Properties of MatterPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Electromagnetic InductionPhysics · 1 questions MagneticsPhysics · 1 questions Motion in A PlanePhysics · 1 questions Current ElectricityPhysics · 2 questions GravitationPhysics · 1 questions ElectrostaticsPhysics · 1 questions

Q1.The increasing order of the acidity of the $α$ -hydrogen of the following compounds is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.A flask contains a mixture of compounds A and B. Both compounds decompose by first-order kinetics. The half-lives for A and B are 300 s and 180 s, respectively. If the concentrations of A and B are equal initially, the time required for…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q3.The increasing order of basicity of the following compounds is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.The difference between the radii of 3rd and 4th orbits of $L i^{2 +}$ is R1 . The difference between the radii of 3rd and 4th orbits of $H e^{+}$ is $Δ$ R2 . Ratio $Δ$ R1 : $Δ$ R2 is :
Chemistry · Structure of Atom · MCQ
Q5.The structure of $P C l_{5}$ in the solid state is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.The most appropriate reagent for conversion of $C_{2} H_{5} C N$ into $C H_{3} C H_{2} C H_{2} N H_{2}$ is
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.Which of the following derivatives of alcohols is unstable in an aqueous base?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.The correct electronic configuration and spin-only magnetic moment (BM) of $G d^{3 +}$ (Z = 64), respectively, are :
Chemistry · D and F Block Elements · MCQ
Q9.In the following reaction sequence the major products A and B are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Which of the following is not an essential amino acid :
Chemistry · Biomolecules · MCQ
Q11.Consider the following reaction: $N_{2} O_{4}$ (g) ⇌ 2 $N O_{2}$ (g); $Δ$ Ho = +58 kJ For each of the following cases (a, b), the direction in which the equilibrium shifts is : (a) Temperature is decreased. (b) Pressure is increased by adding $N_{2}$ …
Chemistry · Chemical Equilibrium · MCQ
Q12.The values of the crystal field stabilization energies for a high spin d6 metal ion in octahedral and tetrahedral fields, respectively, are :
Chemistry · Coordination Compounds · MCQ
Q13.The total number of coordination sites in ethylenediaminetetraacetate ( $E D T A^{4 -}$ ) is .
Chemistry · Coordination Compounds · Numerical
Q14.A soft drink was bottled with a partial pressure of $C O_{2}$ of 3 bar over the liquid at room temperature. The partial pressure of $C O_{2}$ over the solution approaches a value of 30 bar when 44 g of $C O_{2}$ is dissolved in 1 kg of water at…
Chemistry · Ionic Equilibrium · Numerical
Q15.An oxidation-reduction reaction in which 3 electrons are transferred has a $Δ$ Gº of 17.37 kJ mol–1 at 25 oC. The value of Eo cell (in V) is × 10–2. (1 F = 96,500 C mol–1)
Chemistry · Electrochemistry · Numerical
Q16.The number of chiral carbon(s) present in peptide, Ile-Arg-Pro, is .
Chemistry · Biomolecules · Numerical
Q17.The minimum number of moles of $O_{2}$ required for complete combustion of 1 mole of propane and 2 moles of butane is .
Chemistry · Hydrocarbons · Numerical
Q18.The potential energy curve for the $H_{2}$ molecule as a function of internuclear distance is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q19.In the sixth period, the orbitals that are filled are :
Chemistry · D and F Block Elements · MCQ
Q20.The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word ’SYLLABUS’ such that two letters are distinct and two letters are alike, is :
Mathematics · Permutations and Combinations · Numerical
Q21.If the line, 2x - y + 3 = 0 is at a distance $\frac{1}{5}$ and $\frac{2}{5}$ from the lines 4x - 2y + $α$ = 0 and 6x - 3y + $β$ = 0, respectively, then the sum of all possible values of $α$ and $β$ is :
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q22.The natural number m, for which the coefficient of x in the binomial expansion of $(x^{m} + \frac{1}{x ^{2}})^{22}$ is 1540, is .............
Mathematics · Binomial Theorem · Numerical
Q23.If $α$ is positive root of the equation, p(x) = x2 - x - 2 = 0, then $x \to α^{+} lim \frac{1 - c o s ( p ( x ) )}{x + α - 4}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q24.If $\int (e^{2 x} + 2 e^{x} - e^{- x} - 1) e^{(e^{x} + e^{- x})} d x$ = $g (x) e^{(e^{x} + e^{- x})} + c$ where c is a constant of integration, then g(0) is equal to :
Mathematics · Indefinite Integrals · MCQ
Q25.Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five, is .
Mathematics · Permutations and Combinations · Numerical
Q26.If the co-ordinates of two points A and B are $(7, 0)$ and $(- 7, 0)$ respectively and P is any point on the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :
Mathematics · Ellipse · MCQ
Q27.Let $f (x) = x . [\frac{x}{2}]$ , for -10< x < 10, where [t] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q28.Let $λ \in$ R . The system of linear equations 2x1 - 4x2 + $λ$ x3 = 1 x1 - 6x2 + x3 = 2 $λ$ x1 - 10x2 + 4x3 = 3 is inconsistent for:
Mathematics · Matrices and Determinants · MCQ
Q29.If $3^{2 s i n 2 α - 1}$ , 14 and $3^{4 - 2 s i n 2 α}$ are the first three terms of an A.P. for some $α$ , then the sixth terms of this A.P. is:
Mathematics · Sequences and Series · MCQ
Q30.If the minimum and the maximum values of the function $f : [\frac{π}{4}, \frac{π}{2}] \to R$ , defined by $f (θ) = - sin^{2} θ - cos^{2} θ 12 - 1 - sin^{2} θ - 1 - cos^{2} θ 10 11 - 2$ …
Mathematics · Matrices and Determinants · MCQ
Q31.A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :
Mathematics · Sets and Relations · MCQ
Q32.The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference of the remaining two observations is :
Mathematics · Statistics · MCQ
Q33.If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, -4), then PQ2 is equal to:
Mathematics · Application of Derivatives · MCQ
Q34.If the four complex numbers $z, \overline{z}, \overline{z} - 2 Re o l imi t s (\overline{z})$ and $z - 2 R e (z)$ represent the vertices of a square of side 4 units in the Argand plane, then $∣ z ∣$ is equal to :
Mathematics · Complex Numbers · MCQ
Q35.If the function $f (x) = {k_{1} (x - π)^{2} - 1, k_{2} cos x, x \leq π x > π$ is twice differentiable, then the ordered pair…
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.If (a, b, c) is the image of the point (1, 2, -3) in the line $\frac{x + 1}{2} = \frac{y - 3}{- 2} = \frac{z}{- 1}$ , then a + b + c is :
Mathematics · 3D Geometry · MCQ
Q37.The value of $\frac{- π}{2} \int \frac{π}{2} \frac{1}{1 + e ^{s i n x}} d x$ is:
Mathematics · Definite Integration · MCQ
Q38.If S is the sum of the first 10 terms of the series $tan^{- 1} (\frac{1}{3}) + tan^{- 1} (\frac{1}{7}) + tan^{- 1} (\frac{1}{13}) + tan^{- 1} (\frac{1}{21}) + ....$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q39.If y = y(x) is the solution of the differential equation $\frac{5 + e ^{x}}{2 + y} . \frac{d y}{d x} + e^{x} = 0$ satisfying y(0) = 1, then a value of y(loge13) is :
Mathematics · Differential Equations · MCQ
Q40.The product of the roots of the equation 9x2 - 18|x| + 5 = 0 is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q41.A particle of mass 200 MeV/c2 collides with a hydrogen atom at rest. Soon after the collision the particle comes to rest, and the atom recoils and goes to its first excited state. The initial kinetic energy of the particle (in eV) is $\frac{N}{4}$ …
Physics · Atoms and Nuclei · Numerical
Q42.A compound microscope consists of an objective lens of focal length 1 cm and an eyepiece of focal length 5 cm with a separation of 10 cm. The distance between an object and the objective lens, at which the strain on the eye is minimum is $\frac{n}{40}$ …
Physics · Geometrical Optics · Numerical
Q43.A force $F = (i + 2 j + 3 k)$ N acts at a point $(4 i + 3 j - k)$ m. Then the magnitude of torque about the point $(i + 2 j + k)$ …
Physics · Rotational Motion · Numerical
Q44.With increasing biasing voltage of a photodiode, the photocurrent magnitude :
Physics · Electronic Devices · MCQ
Q45.A physical quantity z depends on four observables a, b, c and d, as z = $\frac{a ^{2} b ^{\frac{2}{3}}}{c d ^{3}}$ . The percentages of error in the measurement of a, b, c and d are 2%, 1.5%, 4% and 2.5% respectively. The percentage…
Physics · Units and Measurements · MCQ
Q46.Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the negative terminal of the…
Physics · Capacitor · MCQ
Q47.A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is at a height h. The time taken by the packet to reach the ground is close to : [g is the…
Physics · Motion in A Straight Line · MCQ
Q48.Assume that the displacement(s) of air is proportional to the pressure difference ( $Δ$ p) created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air ( $ρ$ ) and the frequency (f). If $Δ$ …
Physics · Waves · MCQ
Q49.A hollow spherical shell at outer radius R floats just submerged under the water surface. The inner radius of the shell is r. If the specific gravity of the shell material is $\frac{27}{8}$ w.r.t water, the value of r is :
Physics · Properties of Matter · MCQ
Q50.An electron is constrained to move along the y-axis with a speed of 0.1 c (c is the speed of light) in the presence of electromagnetic wave, whose electric field is $E = 30 j sin (1.5 \times 10^{7} t - 5 \times 10^{- 2} x)$ …
Physics · Electromagnetic Waves · MCQ
Q51.A wheel is rotating freely with an angular speed $ω$ on a shaft. The moment of inertia of the wheel is I and the moment of inertia of the shaft is negligible. Another wheel of moment of inertia 3I initially at rest is suddenly coupled…
Physics · Rotational Motion · MCQ
Q52.A bullet of mass 5 g, travelling with a speed of 210 m/s, strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the bullet while the other half is converted into heat in the wood. The rise of temperature…
Physics · Heat and Thermodynamics · MCQ
Q53.For a concave lens of focal length f, the relation between object and image distances u and v, respectively, from its pole can best be represented by (u = v is the reference line) :
Physics · Geometrical Optics · MCQ
Q54.Two concentric circular coils, C1 and C2 are placed in the XY plane. C1 has 500 turns, and a radius of 1 cm. C2 has 200 turns and radius of 20 cm. C2 carries a time dependent current I(t) = (5t2 – 2t + 3) A where t is in s. The emf induced…
Physics · Electromagnetic Induction · Numerical
Q55.A square loop of side 2 $a$ , and carrying current I, is kept in XZ plane with its centre at origin. A long wire carrying the same current I is placed parallel to the z-axis and passing through the point (0, b, 0), (b >> a). The…
Physics · Magnetics · MCQ
Q56.Number of molecules in a volume of 4 cm3 of a perfect monoatomic gas at some temperature T and at a pressure of 2 cm of mercury is close to? (Given, mean kinetic energy of a molecule (at T) is 4 $\times$ 10–14 erg, g = 980 cm/s2, density…
Physics · Heat and Thermodynamics · MCQ
Q57.A balloon is moving up in air vertically above a point A on the ground. When it is at a height h1, a girl standing at a distanced (point B) from A (see figure) sees it at an angle 45o with respect to the vertical. When the balloon climbs… Includes diagram
Physics · Motion in A Plane · MCQ
Q58.A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by connecting a resistance R1 in series with it. The additional resistance that should be connected in series with R1 to increase the range of the voltmeter to 0…
Physics · Current Electricity · MCQ
Q59.In a resonance tube experiment when the tube is filled with water up to a height of 17.0 cm from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height…
Physics · Waves · MCQ
Q60.The value of the acceleration due to gravity is g1 at a height h = $\frac{R}{2}$ (R = radius of the earth) from the surface of the earth. It is again equal to g1 at a depth d below the surface of the earth. The ratio $(\frac{d}{R})$ …
Physics · Gravitation · MCQ
Q61.An electrical power line, having a total resistance of 2 $Ω$ , delivers 1 kW at 220 V. The efficiency of the transmission line is approximately :
Physics · Current Electricity · MCQ
Q62.A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small point like piece of it of mass m gets detached from the bottom of the sphere and falls down vertically under gravity. This piece carries… Includes diagram
Physics · Electrostatics · MCQ
Q63.Three different processes that can occur in an ideal monoatomic gas are shown in the P vs V diagram. The paths are labelled as A $\to$ B, A $\to$ C and A $\to$ D. The change in internal energies during these process are taken as EAB, EAC… Includes diagram
Physics · Heat and Thermodynamics · MCQ