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2019 · 9 Jan · Shift 2

72 questions · JEE Main

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2019 · 9 Jan · Shift 2

2019 · 9 Jan · Shift 2

72 questions · JEE Main

Chemistry23 questions Mathematics24 questions Physics25 questions

Basics of Organic ChemistryChemistry · 2 questions Practical Organic ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 4 questions BiomoleculesChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions ElectrochemistryChemistry · 1 questions Coordination CompoundsChemistry · 2 questions SolutionsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Sequences and SeriesMathematics · 1 questions Definite IntegrationMathematics · 2 questions ParabolaMathematics · 1 questions 3D GeometryMathematics · 1 questions HyperbolaMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions DifferentiationMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions StatisticsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Complex NumbersMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions FunctionsMathematics · 1 questions CapacitorPhysics · 1 questions Current ElectricityPhysics · 1 questions Rotational MotionPhysics · 1 questions Electronic DevicesPhysics · 1 questions Alternating CurrentPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Units and MeasurementsPhysics · 2 questions ElectrostaticsPhysics · 2 questions Simple Harmonic MotionPhysics · 2 questions MagneticsPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Wave OpticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Laws of MotionPhysics · 1 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Motion in A PlanePhysics · 1 questions

Q1.The increasing basicity order of the following compounds is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q2.Which of the following compounds is not aromatic ?
Chemistry · Basics of Organic Chemistry · MCQ
Q3.The tests performed on compound X and their inferences are : Compound 'X' is : Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q4.The products formed in the reaction of cumene with $O_{2}$ followed by treatment with dil. $H C l$ are :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.The correct sequence of amino acids present in the tripeptide given below is : Includes diagram
Chemistry · Biomolecules · MCQ
Q6.Consider the following reversible chemical reactions : The relation between K1 and K2 is : Includes diagram
Chemistry · Chemical Equilibrium · MCQ
Q7.The major product obtained in the following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.The major product of the following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.The major product of the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.The major product in the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q11.If the standard electrode potential for a cell is 2 V at 300 K, the equilibrium constant (K) for the reaction $Z n$ (s) + $C u^{2 +}$ (aq) $⇌$ $Z n^{2 +}$ (aq) + $C u$ (s) at 300 K is approximately, (R = 8 JK $-$ 1mol $-$ 1, F =…
Chemistry · Electrochemistry · MCQ
Q12.Homoleptic octahedral complexes of a metal ion ' $M^{3 +}$ ' with three monodenate ligands $L_{1}$ , $L_{2}$ and $L_{3}$ adsorb wavelenths in the region of green, blue and red respectively. The increasing order of the ligands strength is :
Chemistry · Coordination Compounds · MCQ
Q13.A solution containing 62 g ethylene glycol in 250 g water is cooled to $-$ 10oC. If Kf for water is 1.86 K kg mol $-$ 1 , the amount of water (in g) separated as ice is :
Chemistry · Solutions · MCQ
Q14.When the first electron gain enthalpy $(Δ_{e g} H)$ of oxygen is $-$ 141 kJ/mol, its second electron gain enthalpy is :
Chemistry · Periodic Table and Periodicity · MCQ
Q15.The transition element that has lowest enthalpy of atomisation, is :
Chemistry · D and F Block Elements · MCQ
Q16.Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ? (a) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower…
Chemistry · Structure of Atom · MCQ
Q17.In which of the following process, the bond order has increased and paramagnetic character has charged to diamagnetic ?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q18.For the reaction, 2A + B $\to$ products, when the concentrations of A and B both were doubled, the rate of the reaction increased from 0.3 mol L $-$ 1s $-$ 1 to 2.4 mol L $-$ 1s $-$ 1. When the concentration of A alone is doubled, the rate…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q19.The pH of rain water, is approximately :
Chemistry · Ionic Equilibrium · MCQ
Q20.The complex that has highest crystal field splitting energy ( $Δ$ ), is :
Chemistry · Coordination Compounds · MCQ
Q21.The correct match between Item I and Item II is : Includes table
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q22.For the following reaction, in the mass of water produced from 445 g of $C_{57} H_{110} O_{6}$ is : 2 $C_{57} H_{110} O_{6}$ (s) + 163 $O_{2}$ (g) $\to$ 114 $C O_{2}$ (g) + 110 $H_{2} O$ (l)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q23.The entropy change associated with the conversion of 1 kg of ice at 273 K to water vapours at 383 K is : (Specific heat of water liquid and water vapour are 4.2 kJ K $-$ 1 kg $-$ 1 and 2.0 kJ K $-$ 1 kg $-$ 1; heat of liquid fusion and…
Chemistry · Thermodynamics · MCQ
Q24.Let a, b and c be the 7th, 11th and 13th terms respectively of a non-constant A.P. If these are also three consecutive terms of a G.P., then $\frac{a}{c}$ equal to :
Mathematics · Sequences and Series · MCQ
Q25.If $0 \int \frac{π}{3} \frac{t a n θ}{2 k s e c θ} d θ = 1 - \frac{1}{2}, (k > 0),$ then value of k is :
Mathematics · Definite Integration · MCQ
Q26.Let A(4, $-$ 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of $Δ$ ACB is maximum. Then, the area (in sq. units) of $Δ$ ACB, is :
Mathematics · Parabola · MCQ
Q27.If the lines x = ay + b, z = cy + d and x = a'z + b', y = c'z + d' are perpendicular, then :
Mathematics · 3D Geometry · MCQ
Q28.A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is :
Mathematics · Hyperbola · MCQ
Q29.The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digits allowed) is equal to :
Mathematics · Permutations and Combinations · MCQ
Q30.If x $=$ 3 tan t and y $=$ 3 sec t, then the value of $\frac{d ^{2} y}{d x ^{2}}$ at t $= \frac{π}{4},$ is :
Mathematics · Differentiation · MCQ
Q31.Let f be a differentiable function from R to R such that $∣ f (x) - f (y) ∣ \leq 2 ∣ x - y ∣^{\frac{3}{2}},$ for all $x, y \in$ R. If $f (0) = 1$ then $0 \int 1 f^{2} (x) d x$ …
Mathematics · Definite Integration · MCQ
Q32.If $f (x) = \int \frac{5 x ^{8} + 7 x ^{6}}{( x ^{2} + 1 + 2 x ^{7} ) ^{2}} d x, (x \geq 0), f (0) = 0,$ then the value of $f (1)$ is :
Mathematics · Indefinite Integrals · MCQ
Q33.If $A = e^{t} e^{t} e^{t} e^{- t} cos t - e^{- t} cos t - e^{- t} sin t 2 e^{- t} sin t e^{- t} sin t - e^{- t} sin t + e^{- t} co s o l imi t s t - 2 e^{- t} cos t$ …
Mathematics · Matrices and Determinants · MCQ
Q34.A data consists of n observations : x1, x2, . . . . . . ., xn. If $i = 1 \sum n (x_{i} + 1)^{2} = 9 n$ and $i = 1 \sum n (x_{i} - 1)^{2} = 5 n,$ then the standard deviation of this…
Mathematics · Statistics · MCQ
Q35.Let the equations of two sides of a triangle be 3x $-$ 2y + 6 = 0 and 4x + 5y $-$ 20 = 0. If the orthocentre of this triangle is at (1, 1), then the equation of its third side is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q36.Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements…
Mathematics · Permutations and Combinations · MCQ
Q37.If both the roots of the quadratic equation x2 $-$ mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q38.Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz $_{0}^{81} -$ 3iz $_{0}^{93}$ , then arg z is equal to :
Mathematics · Complex Numbers · MCQ
Q39.If the system of linear equations x $-$ 4y + 7z = g 3y $-$ 5z = h $-$ 2x + 5y $-$ 9z = k is consistent, then :
Mathematics · Matrices and Determinants · MCQ
Q40.The area of the region A = {(x, y) : 0 $\leq$ y $\leq$ x |x| + 1 and $-$ 1 $\leq$ x $\leq$ 1} in sq. units, is :
Mathematics · Area Under the Curves · MCQ
Q41.Let f : [0,1] $\to$ R be such that f(xy) = f(x).f(y), for all x, y $\in$ [0, 1], and f(0) $e$ 0. If y = y(x) satiesfies the differential equation, $\frac{d y}{d x}$ = f(x) with y(0) = 1, then y $(\frac{1}{4})$ + y $(\frac{3}{4})$ …
Mathematics · Differential Equations · MCQ
Q42.If x = sin $-$ 1(sin10) and y = cos $-$ 1(cos10), then y $-$ x is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q43.For each x $\in$ R, let [x] be the greatest integer less than or equal to x. Then $x \to 0^{-} lim \frac{x ( [ x ] + ∣ x ∣ ) s i n [ x ]}{∣ x ∣}$ is…
Mathematics · Limits Continuity and Differentiability · MCQ
Q44.Let $a = i + j + 2 k, b = b_{1} i + b_{2} j + 2 k$ , $c = 5 i + j + 2 k$ be three vectors…
Mathematics · Vector Algebra · MCQ
Q45.An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn and if the drawn ball is red, then a green ball is added to the urn; the original ball is not…
Mathematics · Probability · MCQ
Q46.The number of all possible positive integral values of $α$ for which the roots of the quadratic equation, 6x2 $-$ 11x + $α$ = 0 are rational numbers is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q47.Let A = {x $\in$ R : x is not a positive integer}. Define a function $f$ : A $\to$ R as $f (x)$ = $\frac{2 x}{x - 1}$ , then $f$ is :
Mathematics · Functions · MCQ
Q48.A parallel plate capacitor with square plates is filled with four dielecytrics of dielectrics constants K1, K2, K3, K4 arranged as shown in the figure. The effective dielectric constant K will be : Includes diagram
Physics · Capacitor · MCQ
Q49.In the given circuit the the internal resistance of the 18 V cell is negligible. If R1 = 400 $Ω$ , R3 = 100 $Ω$ and R4 = 500 $Ω$ and the reading of an ideal voltmeter across R4 is 5V, then the value of R2 will be : Includes diagram
Physics · Current Electricity · MCQ
Q50.A rod of length 50 cm is pivoted at one end. It is raised such that if makes an angle of 30o from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal (in rad s $-$ 1) will be (g = 10 ms $-$ … Includes diagram
Physics · Rotational Motion · MCQ
Q51.Ge and Si diodes start conducting at 0.3 V and 0.7 V respectively. In the following figure if Ge diode connection are reversed, the value of V0 changes by : (assume that the Ge diode has large breakdown voltage) Includes diagram
Physics · Electronic Devices · MCQ
Q52.A series AC circuit containing an inductor (20 mH), a capacitor (120 $μ$ F) and a resistor (60 $Ω$ ) is driven by an AC source of 24V/50 Hz. The energy dissipated in the circuit in 60 s is :
Physics · Alternating Current · MCQ
Q53.The magnetic field associated with a light wave is given, at the origin, by B = B0 [sin(3.14 $\times$ 107)ct + sin(6.28 $\times$ 107)ct]. If this light falls on a silver plate having a work function of 4.7 eV, what will be the maximum…
Physics · Dual Nature of Radiation · MCQ
Q54.In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a speed ' $υ$ ' more than that of car B. Both the cars start from rest and travel with constant acceleration a1 and a2…
Physics · Motion in A Straight Line · MCQ
Q55.The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies 3 divisions below the…
Physics · Units and Measurements · MCQ
Q56.Charge is distributed within a sphere of radius R with a volume charge density $ρ (r) = \frac{A}{r ^{2}} e^{- \frac{2 r}{s}},$ where A and a are constants. If Q is the total charge of this charge distribution, the…
Physics · Electrostatics · MCQ
Q57.A rod of mass 'M' and length '2L' is suspended at its middle by a wire. It exhibits torsional oscillations; If two masses each of 'm' are attached at distance 'L/2' from its centre on both sides, it reduces the oscillation frequency by…
Physics · Simple Harmonic Motion · MCQ
Q58.One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a circular coil of N identical turns. If the same current is passed in both, the radio of the magnetic field at the central…
Physics · Magnetics · MCQ
Q59.Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1) and parallel to the second mirror (M2) is finally reflected from the second mirror (M2) parallel to the first mirror (M1). The angle…
Physics · Geometrical Optics · MCQ
Q60.In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $λ$ = 500 nm is incident on the slits. The total number of bright fringes that are observed in the angular range $-$ 30o $\leq θ \leq$ …
Physics · Wave Optics · MCQ
Q61.A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27oC. Amount of heat transferred to the gas, so that rms velocity of molecules is doubled, is about : [Take R = 8.3 J/K mole]
Physics · Heat and Thermodynamics · MCQ
Q62.A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point. the rope deviated at an angle of 45o at the roof point. If the suspended mass is at equilibrium, the magnitude…
Physics · Laws of Motion · MCQ
Q63.A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE), the position of the particle will be :
Physics · Simple Harmonic Motion · MCQ
Q64.The energy required to take a satellite to a height 'h' above Earth surface (radius of Earth = 6.4 $\times$ 103 km) is E1 and kinetic energy required for the satellite to be in a circular orbit at this height is E2. The value of h for…
Physics · Gravitation · MCQ
Q65.The top of a water tank is open to air and its water level is mainted. It is giving out 0.74 m3 water per minute through a circular opening of 2 cm radius in its wall. The depth of the center of the opening from the level of water in the…
Physics · Properties of Matter · MCQ
Q66.Expression for time in terms of G(universal gravitional constant), h (Planck constant) and c (speed of light) is proportional to :
Physics · Units and Measurements · MCQ
Q67.A particle having the same charge as of electron moves in a ciurcular path of radius 0.5 cm under the influence of a magnetic field 0f 0.5 T. If an electric field of 100 V/m makes it to move in a straight path, then the mass of the…
Physics · Magnetics · MCQ
Q68.Two point charges q1 $(10 μ C)$ and q2( $-$ 25 $μ$ C) are placed on the x-axis at x = 1 m and x = 4 m respectively. The electric field (in V/m) at a point y = 3 m on y-axis is, [take ${1 \over {4\pi { \in…
Physics · Electrostatics · MCQ
Q69.The energy associated with electric field is (UE) and with magnetic field is (UB) for an electromagnetic wave in free space. Then :
Physics · Electromagnetic Waves · MCQ
Q70.A force acts on a 2 kg object so that its position is given as a function of time as x = 3t2 + 5. What is the work done by this force in first 5 seconds ?
Physics · Work Power and Energy · MCQ
Q71.A power transmission line feeds input power at 2300 V to a srep down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A…
Physics · Alternating Current · MCQ
Q72.The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a cos $ω$ t y = a sin $ω$ t and z = a $ω$ t The speed of the particle is :
Physics · Motion in A Plane · MCQ