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2018 · 15 Apr · Shift 2

71 questions · JEE Main

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2018 · 15 Apr · Shift 2

2018 · 15 Apr · Shift 2

71 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics27 questions

Compounds Containing NitrogenChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions BiomoleculesChemistry · 1 questions HydrocarbonsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Coordination CompoundsChemistry · 2 questions SolutionsChemistry · 1 questions ThermodynamicsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions P Block ElementsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Structure of AtomChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Sequences and SeriesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Vector AlgebraMathematics · 1 questions StatisticsMathematics · 1 questions ProbabilityMathematics · 1 questions 3D GeometryMathematics · 1 questions ParabolaMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Differential EquationsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Definite IntegrationMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 3 questions DifferentiationMathematics · 1 questions ElectrostaticsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions MagneticsPhysics · 1 questions Electronic DevicesPhysics · 1 questions Wave OpticsPhysics · 1 questions CapacitorPhysics · 2 questions Properties of MatterPhysics · 2 questions Rotational MotionPhysics · 2 questions Motion in A PlanePhysics · 1 questions Geometrical OpticsPhysics · 1 questions Current ElectricityPhysics · 2 questions WavesPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Circular MotionPhysics · 1 questions Center of MassPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Laws of MotionPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions

Q1.The increasing order of diazotisation of the following compounds is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q2.The major product formed in the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.The total number of optically active compounds formed in the following reactio is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.The dipeptide, Gln-Gly, on treatment with $C H_{3} C O C l$ followed y aqueous work up gives :
Chemistry · Biomolecules · MCQ
Q5.When 2-butyne is treate with $H_{2}$ /Lindlar's catalyst, compound X is produced as the major product and when treated with Na/liq. $N H_{3}$ it produces Y as the major product Which of the following statements is correct ?
Chemistry · Hydrocarbons · MCQ
Q6.Which of the following best describes the diagram below of a molecular orbital ? Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q7.The increasing order of the acidity of the following carboxylic acids is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q8.On treatment of the following compound with a strong acid, the most susceptible site for bond cleavage is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q9.The major product formed in the following reaction is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q10.Two compounds I and II are eluted by column chromatography (adsorption of I > II). Which one of following is a correct statement ?
Chemistry · Basics of Organic Chemistry · MCQ
Q11.The total number of possible isomers for square-planar $[P t (C l) (N O_{2}) (N O_{3}) (S C N)]^{2 -}$ is :
Chemistry · Coordination Compounds · MCQ
Q12.Two 5 molal solutions are prepared by dissolving a non-electrolyte non-volatile solute separately in the solvents X and Y. The molecular weights of the solvents are Mx and My, respectively where Mx = $\frac{3}{4}$ My. The relative lowering…
Chemistry · Solutions · MCQ
Q13. $Δ$ fGo at 500 K for substance 'S' in liquid state and gaseous state are +100.7 kcl mol-1 and +103 kcal mol-1, respectively. Vapour pressure of liquid 'S' at 500 K is approximately equal to : ( R = 2 cal K-1 mol-1 )
Chemistry · Thermodynamics · MCQ
Q14.For a first order reaction, A $\to$ P, t1/2 (half-life) is 10 days The time required for $\frac{1}{4}$ th conversion of A (in days) is : (ln 2 = 0.693, ln 3 = 1.1)
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q15.The correct order of spin-only magnetic moments among the following is : (Atomic number : Mn = 25, Co = 27, Ni = 28, Zn = 30)
Chemistry · Coordination Compounds · MCQ
Q16.The correct order of electron affinity is :
Chemistry · Periodic Table and Periodicity · MCQ
Q17.In $K O_{2}$ , the nature of oxygen species and the oxydation state of oxygen atom are, respectively :
Chemistry · P Block Elements · MCQ
Q18.At a certain temperature in a $5 L$ vessel, 2 moles of carbon monoxide and 3 moles of chlorine were allowed to reach equilibrium according to the reaction, $C O$ + $C l_{2}$ $⇌$ $C O C l_{2}$ At equilibrium, if one mole of $C O$ is…
Chemistry · Chemical Equilibrium · MCQ
Q19.Following four solutions are prepared by mixing different volumes of NaOH and HCl of different concentrations, pH of which one of them will be equal to 1 ?
Chemistry · Ionic Equilibrium · MCQ
Q20.Given (i) 2 $F e_{2} O_{3}$ (s) $\to$ 4 $F e$ (s) + 3 $O_{2}$ (g); $Δ$ rGo = + 1487.0 kJ mol-1 (ii) 2 $C O$ (g) + $O_{2}$ (g) $\to$ 2 $C O_{2}$ (g); $Δ$ rGo = $-$ 514.4 kJ mol-1 Free energy change, $Δ$ rGo for the reaction 2 $F e_{2} O_{3}$ (s) + 6 $C O$ (g) $\to$ …
Chemistry · Thermodynamics · MCQ
Q21.The de-Broglie's wavelength of electron present in first Bohr orbit of 'H' atom is :
Chemistry · Structure of Atom · MCQ
Q22.For per gram of reactant, the maximum quantity of $N_{2}$ gas is produced in which of the following thermal decomposition reactions ? (Given : Atomic wt. - Cr = 52 u, Ba = 137 u)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q23.If a, b, c are in A.P. and a2, b2, c2 are in G.P. such that a < b < c and a + b + c = $\frac{3}{4},$ then the value of a is :
Mathematics · Sequences and Series · MCQ
Q24.If the system of linear equations x + ay + z = 3 x + 2y + 2z = 6 x + 5y + 3z = b has no solution, then :
Mathematics · Matrices and Determinants · MCQ
Q25.If |z $-$ 3 + 2i| $\leq$ 4 then the difference between the greatest value and the least value of |z| is :
Mathematics · Complex Numbers · MCQ
Q26.The number of four letter words that can be formed using the letters of the word BARRACK is :
Mathematics · Permutations and Combinations · MCQ
Q27.Suppose A is any 3 $\times$ 3 non-singular matrix and ( A $-$ 3I) (A $-$ 5I) = O where I = I3 and O = O3. If $α$ A + $β$ A-1 = 4I, then $α$ + $β$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q28.Let f : A $\to$ B be a function defined as f(x) = $\frac{x - 1}{x - 2},$ Where A = R $-$ {2} and B = R $-$ {1}. Then f is :
Mathematics · Functions · MCQ
Q29.If f(x) is a quadratic expression such that f (1) + f (2) = 0, and $-$ 1 is a root of f (x) = 0, then the other root of f(x) = 0 is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q30.If the position vectors of the vertices A, B and C of a $Δ$ ABC are respectively $4 i + 7 j + 8 k, 2 i + 3 j + 4 k,$ and $2 i + 5 j + 7 k,$ then the position…
Mathematics · Vector Algebra · MCQ
Q31.If the mean of the data : 7, 8, 9, 7, 8, 7, $λ$ , 8 is 8, then the variance of this data is :
Mathematics · Statistics · MCQ
Q32.A player X has a biased coin whose probability of showing heads is p and a player Y has a fair coin. They start playing a game with their own coins and play alternately. The player who throws a head first is a winner. If X starts the game,…
Mathematics · Probability · MCQ
Q33.An angle between the lines whose direction cosines are gien by the equations, $l$ + 3m + 5n = 0 and 5 $l$ m $-$ 2mn + 6n $l$ = 0, is :
Mathematics · 3D Geometry · MCQ
Q34.Tangents drawn from the point ( $-$ 8, 0) to the parabola y2 = 8x touch the parabola at $P$ and $Q .$ If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to :
Mathematics · Parabola · MCQ
Q35.The foot of the perpendicular drawn from the origin, on the line, 3x + y = $λ$ ( $λ e$ 0) is P. If the line meets x-axis at A and y-axis at B, then the ratio BP : PA is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q36.The sides of a rhombus ABCD are parallel to the lines, x $-$ y + 2 = 0 and 7x $-$ y + 3 = 0. If the diagonals of the rhombus intersect P(1, 2) and the vertex A (different from the origin) is on the y-axis, then the coordinate of A is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q37.The curve satifying the differeial equation, (x2 $-$ y2) dx + 2xydy = 0 and passing through the point (1, 1) is :
Mathematics · Differential Equations · MCQ
Q38.If $\int \frac{2 x + 5}{7 - 6 x - x ^{2}} d x = A 7 - 6 x - x^{2} + B sin^{- 1} (\frac{x + 3}{4}) + C$ (where C is a constant of integration), then the ordered pair (A, B) is equal to :
Mathematics · Indefinite Integrals · MCQ
Q39.If $I_{1} = \int_{0}^{1} e^{- x} cos^{2} x d x; I_{2} = \int_{0}^{1} e^{- x^{2}} cos^{2} x d x$ and $I_{3} = \int_{0}^{1} e^{- x^{3}} d x;$ then
Mathematics · Definite Integration · MCQ
Q40.The value of integral $\int_{\frac{π}{4}}^{\frac{3 π}{4}} \frac{x}{1 + s i n x} d x$ is :
Mathematics · Definite Integration · MCQ
Q41.Let f(x) be a polynomial of degree $4$ having extreme values at $x = 1$ and $x = 2.$ If $x \to 0 l im (\frac{f ( x )}{x ^{2}} + 1) = 3$ then f( $-$ 1) is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q42.If f(x) = sin-1 $(\frac{2 \times 3 ^{x}}{1 + 9 ^{x}}),$ then f' $(- \frac{1}{2})$ equals :
Mathematics · Differentiation · MCQ
Q43.Let f(x) = ${(x - 1)^{\frac{1}{2 - x}}, k x > 1, x e 2, x = 2$ Thevaue of k for which f s continuous at x = 2 is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q44. $x \to 0 lim \frac{x t a n 2 x - 2 x t a n x}{( 1 - c o s 2 x ) ^{2}}$ equals :
Mathematics · Limits Continuity and Differentiability · MCQ
Q45.A solid ball of radius R has a charge density $ρ$ given by $ρ$ = $ρ$ o (1 $- \frac{r}{R}$ ) for 0 $\leq$ r $\leq$ R. The electric field outside the ball is :
Physics · Electrostatics · MCQ
Q46.A plane polarized monochromatic EM wave is traveling in vacuum along z direction such that at t = t1 it is found that the electric field is zero at a spatial point z1. The next zero that occurs in its neighbourhood is at z2. The frequency…
Physics · Electromagnetic Waves · MCQ
Q47.At the center of a fixed large circular coil of radius R, a much smaller circular coil of radius r is placed. The two coils are concentric and are in the same plane. The larger coil carries a current I. The smaller coil is set to rotate…
Physics · Electromagnetic Induction · MCQ
Q48.A current of 1 A is flowing on the sides of an equilateral triangle of side 4.5 $\times$ 10-2 m. The magnetic field at the center of the triangle will be :
Physics · Magnetics · MCQ
Q49.Truth table for the following digital circuit will be : Includes diagram
Physics · Electronic Devices · MCQ
Q50.A plane polarized light is incident on a polariser with its pass axis aking angle $θ$ with x-axis, as shown in the figure. At four different values of $θ, θ$ = 8o, 38o, 188o and 218o, the observed intensities are same.… Includes diagram
Physics · Wave Optics · MCQ
Q51.A copper rod of mass m slides under gravity on two smooth parallel rails, with separation l and set at an angle of $θ$ with the horizontal. At the bottom rails are joined by a resistance R. There is a uniform magnetic field B normal… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q52.A capacitor C1 = 1.0 $μ$ F is charged up to a voltage V = 60 V by connecting it to battery B through switch (1). Now C1 is disconnected from battery and connected to a circuit consisting of two uncharged capacitors $C_{2} = 3.0 μ F$ and… Includes diagram
Physics · Capacitor · MCQ
Q53.As shown in the figure, forces of 105 N each are applied in opposite directions, on the upper and lower faces of a cube of side 10 cm, shifting the upper face parallel to itself by 0.5 cm. If the side of another cube of the same material… Includes diagram
Physics · Properties of Matter · MCQ
Q54.A thin rod MN, free to rotate in the vertical plane aboutthe fixed end N, is held horizontal. When the end M is released the speed of this end, when the rod makes an angle $α$ with the horizontal, will be proportional to : (see figure) Includes diagram
Physics · Rotational Motion · MCQ
Q55.A thin uniform bar of length $L$ and mass $8$ m lies on a smooth horizontal table. Two point masses m and 2 m are moving in the same horizontal plane from opposite sides of the bar with speeds 2 $υ$ and $υ$ respectively. The… Includes diagram
Physics · Rotational Motion · MCQ
Q56.A man in a car at location Q on a straight highway is moving with speed $υ$ . He decides to reach a point P in a field at a distance d from the highway (point M) as shown in the figure. Speed of the car in the field is half to that… Includes diagram
Physics · Motion in A Plane · MCQ
Q57.A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of 10 cm. The separation between the two lenses is $2$ cm. The focal lengths of the component lenses are :
Physics · Geometrical Optics · MCQ
Q58.A parallel plate capacitor with area 200 cm2 and separation between the plates 1.5 cm, is connected across a battery of emf V. If the force of attraction between the plates is $25 \times 1 0^{- 6} N,$ the value of V is approximately : $(\in_{o} = 8.85 \times 10^{- 12} \frac{C ^{2}}{N . m ^{2}})$ …
Physics · Capacitor · MCQ
Q59.A copper rod of cross-sectional area A carries a uniform current I through it. At temperature T, if the volume charge density of the rod is $ρ$ , how long will the changes take to travel a distance d ?
Physics · Current Electricity · MCQ
Q60.5 beats / econd are heard when a tuning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either 0.95 m or 1 m. The frequency of the fork will be :
Physics · Waves · MCQ
Q61.Two simple harmonic motions, as shown below, are at right angles. They are combined to form Lissajous figures. x(t) = A sin (at + $δ$ ) y(t) = B sin (bt) Identify the correct match below.
Physics · Simple Harmonic Motion · MCQ
Q62.The value closest to the thermal velocity of a Helium atom at room temperature (300 K) in ms-1 is : [kB =1.4 $\times$ 10-23 J/K; mHe = 7 $\times$ 10 -27 kg ]
Physics · Heat and Thermodynamics · MCQ
Q63.When an air bubble of radius r rises from the bottom to the surface of a lake its radius becomes $\frac{5 r}{4} .$ Taking the atmospheric pressure to be equal to 10 m height of water column, the depth of the lake would approximately be…
Physics · Properties of Matter · MCQ
Q64.A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of $3.5$ revolutions per second. A coin placed at a distnce of 1.25 cm from the axis of rotation remains at rest on the disc. The coefficient of friction…
Physics · Circular Motion · MCQ
Q65.A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and the unknown particle are seen moving at an angle of 90o with respect to each other. The mass of unknown particle is :
Physics · Center of Mass · MCQ
Q66.The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants G, h and c. Which of the following correctly gives…
Physics · Units and Measurements · MCQ
Q67.A body of mass 2 kg slides down with an acceleration of 3 m/s2 on a rough inclined plane having a slope of $3 0^{o}$ . The external force required to take the same body up the plane with the same acceleration will be : (g = 10 m/s2)
Physics · Laws of Motion · MCQ
Q68.A constant voltages is applied between two ends of a metallic wire. If the length is halved and the radius of the wire is doubled, the rate of heat developed in the wire will be :
Physics · Current Electricity · MCQ
Q69.Muon ( $μ -$ ) is a negatively charged (|q| = |e|) particle with a mass m $μ$ = 200 me, where me is the mass of the electron and e is the electronic charge. If $μ -$ is bond to a proton to form a hydrogen like atom, identify the correct…
Physics · Atoms and Nuclei · MCQ
Q70.An unstable heavy nucleus at rest breaks into two nuclei which move away with velocities in the ratio of 8 : 27. The ratio of the radii of the nuclei (assumed to be spherical) is :
Physics · Atoms and Nuclei · MCQ
Q71.If the de Broglie wavelengths associated with a proton and an $α$ -particle are equal, then the ratio of velocities of the proton and the $α$ -particle will be :
Physics · Dual Nature of Radiation · MCQ