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2020 · 7 Jan · Shift 2

58 questions · JEE Main

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2020 · 7 Jan · Shift 2

2020 · 7 Jan · Shift 2

58 questions · JEE Main

Chemistry20 questions Mathematics18 questions Physics20 questions

SolutionsChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions BiomoleculesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Redox ReactionsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ElectrochemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Sequences and SeriesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Definite IntegrationMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions StatisticsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions 3D GeometryMathematics · 1 questions Application of DerivativesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Complex NumbersMathematics · 1 questions DifferentiationMathematics · 1 questions Vector AlgebraMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Rotational MotionPhysics · 2 questions Vector AlgebraPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 1 questions GravitationPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Laws of MotionPhysics · 1 questions Current ElectricityPhysics · 1 questions Electronic DevicesPhysics · 1 questions Properties of MatterPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Alternating CurrentPhysics · 1 questions MagneticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions

Q1.Two open beakers one containing a solvent and the other containing a mixture of that solvent with a non voltatile solute are together selated in a container. Over time :
Chemistry · Solutions · MCQ
Q2.Among the statements(a)-(d) the incorrect ones are : (a) Octahedral CO(III) complexes with strong fields ligands have very high magnetic moments. (b) When $Δ$ 0 < P, the d-electron configuration of Co(III) in an octahedral complex…
Chemistry · Coordination Compounds · MCQ
Q3.In the following reaction sequence, The major product B is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.The ammonia ( $N H_{3}$ ) released on quantitative reaction of 0.6 g urea ( $N H_{2} C O N H_{2}$ ) with sodium hydroxide ( $N a O H$ ) can be neutralized by :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q5.Within each pair of elements F & Cl, S & Se, and Li & Na, respectively, the elements that release more energy upon and electron gain are :
Chemistry · Periodic Table and Periodicity · MCQ
Q6.Which of the following statements is correct ?
Chemistry · Biomolecules · MCQ
Q7.A chromatography column, packed with silica gel as stationary phase, was used to separate a mixture of compounds consisting of (A) benzanilide (B) aniline and (C) acetophenone. When the column is eluted with a mixture of solvents, hexane :…
Chemistry · Basics of Organic Chemistry · MCQ
Q8.The redox reaction among the following is :
Chemistry · Redox Reactions · MCQ
Q9.In the following reactions sequence, structure of A and B respectively will be : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q10.For the following reactions Ks and Ke, are respectively, the rate constants for substitution and elimination and $μ = \frac{k _{s}}{k _{e}}$ the correct options is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.The number of possible optical isomers for the complexes MA2B2 with sp3 and dsp2 hydridized metal atom. respectively, is : Note : A and B are unidentate netural and unidentate monoanionic ligands, respectively.
Chemistry · Coordination Compounds · MCQ
Q12.The bond order and the magnetic characteristics of $C N^{-}$ are :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q13.The equation that is incorrect is :
Chemistry · Electrochemistry · MCQ
Q14.The correct order of stability for the following alkoxides is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q15.For the reaction 2 $H_{2}$ (g) + 2 $N O$ (g) $\to$ $N_{2}$ (g) + 2 $H_{2} O$ (g) the observed rate expression is, rate = Kf[ $N O$ ]2[ $H_{2}$ ]. The rate expression for the reverse reaction is :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q16.Consider the following reactions : Which of these reactions are possible ? Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q17.The flocculation value of $H C l$ for arsenic sulphide sol. is 30 m mol L-1 If $H_{2} S O_{4}$ is used for the flocculatiopn of arsenic sulphide, the amount in grams, of $H_{2} S O_{4}$ in 250 ml required for the above purposed is …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q18.3 g of acetic acid is added to 250 mL of 0.1 M HCL and the solution made up to 500 mL. To 20 mL of this solutions $\frac{1}{2}$ mL of 5 M NaOH is added. The pH of the solution is . [Given : pKa of acetic acid =…
Chemistry · Ionic Equilibrium · Numerical
Q19.The standard heat of formation $(Δ_{f} H_{298}^{0})$ of ethane (in kj/mol), if the heat of combustion of ethane, hydrogen and graphite are - 1560, -393.5 and -286 Kj/mol, respectively is :
Chemistry · Thermodynamics · Numerical
Q20.Consider the following reactions : $N a C l + K_{2} C r_{2} O_{7} + (co n c .) H_{2} S O_{4}$ $\to$ (A) + side products (A) + NaOH $\to$ (B) + Side products $(B) + (d i l u t e) H_{2} S O_{4} + H_{2} O_{2}$ …
Chemistry · D and F Block Elements · Numerical
Q21.Let $a_{1}$ , $a_{2}$ , $a_{3}$ ,....... be a G.P. such that $a_{1}$ < 0, $a_{1}$ + $a_{2}$ = 4 and $a_{3}$ + $a_{4}$ = 16. If $i = 1 \sum 9 a_{i} = 4 λ$ , then $λ$ is equal to:
Mathematics · Sequences and Series · MCQ
Q22.The coefficient of x7 in the expression (1 + x)10 + x(1 + x)9 + x2(1 + x)8 + ......+ x10 is:
Mathematics · Binomial Theorem · MCQ
Q23.The number of ordered pairs (r, k) for which 6.35Cr = (k2 - 3). 36Cr + 1, where k is an integer, is :
Mathematics · Permutations and Combinations · MCQ
Q24.The value of $α$ for which $4 α - 1 \int 2 e^{- α ∣ x ∣} d x = 5$ , is:
Mathematics · Definite Integration · MCQ
Q25.The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line x = y is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q26.If the function ƒ defined on $(- \frac{1}{3}, \frac{1}{3})$ by f(x) = ${\frac{1}{x} lo g_{e} (\frac{1 + 3 x}{1 - 2 x}), k, w h e n x e 0 w h e n x = 0$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q27.If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25 respectively, then x.y is equal to .
Mathematics · Statistics · Numerical
Q28.If the system of linear equations, x + y + z = 6 x + 2y + 3z = 10 3x + 2y + $λ$ z = $μ$ has more than two solutions, then $μ$ - $λ$ 2 is equal to .
Mathematics · Matrices and Determinants · Numerical
Q29.If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through ( $α$ , 7, 1) is $(\frac{5}{3}, \frac{7}{3}, \frac{17}{3})$ , then $α$ is equal to .
Mathematics · 3D Geometry · Numerical
Q30.Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If $x \to 0 lim (2 + \frac{f ( x )}{x ^{3}}) = 4$ , then which one of the following is not true?
Mathematics · Application of Derivatives · MCQ
Q31.Let X = {n $\in$ N : 1 $\leq$ n $\leq$ 50}. If A = {n $\in$ X: n is a multiple of 2} and B = {n $\in$ X: n is a multiple of 7}, then the number of elements in the smallest subset of X containing both A and B is .
Mathematics · Sets and Relations · Numerical
Q32.If $\frac{3 + i s i n θ}{4 - i c o s θ}$ , $θ \in$ [0, 2 $θ$ ], is a real number, then an argument of sin $θ$ + icos $θ$ is :
Mathematics · Complex Numbers · MCQ
Q33.If $θ$ 1 and $θ$ 2 be respectively the smallest and the largest values of $θ$ in (0, 2 $π$ ) - { $π$ } which satisfy the equation, 2cot2 $θ$ - $\frac{5}{s i n θ}$ + 4 = 0, then $θ_{1} \int θ_{2} cos^{2} 3 θ d θ$ …
Mathematics · Definite Integration · MCQ
Q34.Let y = y(x) be a function of x satisfying $y 1 - x^{2} = k - x 1 - y^{2}$ where k is a constant and $y (\frac{1}{2}) = - \frac{1}{4}$ . Then $\frac{d y}{d x}$ at x = $\frac{1}{2}$ , is equal to :
Mathematics · Differentiation · MCQ
Q35.Let $a$ , $b$ and $c$ be three unit vectors such that $a + b + c = 0$ . If $λ = a . b + b . c + c . a$ …
Mathematics · Vector Algebra · MCQ
Q36.The area (in sq. units) of the region {(x, y) $\in$ R2 | 4x2 $\leq$ y $\leq$ 8x + 12} is :
Mathematics · Area Under the Curves · MCQ
Q37.Let y = y(x) be the solution curve of the differential equation, $(y^{2} - x) \frac{d y}{d x} = 1$ , satisfying y(0) = 1. This curve intersects the x-axis at a point whose abscissa is :
Mathematics · Differential Equations · MCQ
Q38.Let $α$ and $β$ be the roots of the equation x2 - x - 1 = 0. If pk = $(α)^{k} + (β)^{k}$ , k $\geq$ 1, then which one of the following statements is not true?
Mathematics · Quadratic Equation and Inequalities · MCQ
Q39.Consider a uniform cubical box of side a on a rough floor that is to be moved by applying minimum possible force F at a point b above its centre of mass (see figure). If the coefficient of friction is $μ$ = 0.4, the maximum possible value… Includes diagram
Physics · Rotational Motion · Numerical
Q40.The sum of two forces $P$ and $Q$ is $R$ such that $R = P$ . The angle $θ$ (in degrees) that the resultant of 2 $P$ …
Physics · Vector Algebra · Numerical
Q41.M grams of steam at 100oC is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produced liquid water at 40oC [heat of vaporization of water is 540 cal/g and heat of fusion of ice is 80 cal/g] the value…
Physics · Heat and Thermodynamics · Numerical
Q42.A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is conneced to another uncharged 60 pF capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is…
Physics · Capacitor · Numerical
Q43.A box weight 196 N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take g = 10 ms–2 at the north pole and the radius of the earth = 6400 km) :
Physics · Gravitation · MCQ
Q44.The dimension of $\frac{B ^{2}}{2 μ _{0}}$ , where B is magnetic field and $μ_{0}$ is the magnetic permeability of vacuum, is :
Physics · Units and Measurements · MCQ
Q45.Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from $τ_{1}$ to $τ_{2}$ . If $\frac{C _{p}}{C _{v}} = γ$ for this gas then a good…
Physics · Heat and Thermodynamics · MCQ
Q46.The electric field of a plane electromagnetic wave is given by $E = E_{0} \frac{i + j}{2} cos (k z + ω t)$ At t = 0, a positively charged particle is at the point (x, y, z) = $(0, 0, \frac{π}{k})$ …
Physics · Electromagnetic Waves · MCQ
Q47.In a Young's double slit experiment, the separation between the slits is 0.15 mm. in the experiment, a source of light of wavelengh 589 nm is used and the interference pattern is observed on a screen kept 1.5 m away. The separation between…
Physics · Wave Optics · MCQ
Q48.An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg, The mass of the elevator itself is 920 kg and it moves with a constant speed of 3 m/s. The frictional force opposing the motion…
Physics · Work Power and Energy · MCQ
Q49.A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the mid point of the rope such that the top half of the rope makes an angle of 45o with the vertical. Then F equal : (Take g = 10…
Physics · Laws of Motion · MCQ
Q50.In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of electric main is 220 V. The minimum fuse capacity (rated value) of the building will be :
Physics · Current Electricity · MCQ
Q51.In the figure, potential difference between A and B is : Includes diagram
Physics · Electronic Devices · MCQ
Q52.An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm, respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is :
Physics · Properties of Matter · MCQ
Q53.A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid of refractive index 1.42. If its focal length in liquid is f1 , then the ratio $\frac{f _{1}}{f}$ is closest to the integer :
Physics · Geometrical Optics · MCQ
Q54.A planar loop of wire rotates in a uniform magnetic field. Initially at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf…
Physics · Electromagnetic Induction · MCQ
Q55.An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor and 5 $Ω$ resistor. The ratio of the currents at time t = $\infty$ and at t = 40 s is close to : (Take e2 = 7.389)
Physics · Alternating Current · MCQ
Q56.A particle of mass m and charge q has an initial velocity $v = v_{0} j$ . If an electric field $E = E_{0} i$ and magnetic field $B = B_{0} i$ act on the particle, its…
Physics · Magnetics · MCQ
Q57.Mass per unit area of a circular disc of radius $a$ depends on the distance r from its centre as $σ (r)$ = A + Br . The moment of inertia of the disc about the axis, perpendicular to the plane and assing through its…
Physics · Rotational Motion · MCQ
Q58.An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c = speed of light in vaccuum)
Physics · Dual Nature of Radiation · MCQ