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2019 · 12 Jan · Shift 1

73 questions · JEE Main

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2019 · 12 Jan · Shift 1

2019 · 12 Jan · Shift 1

73 questions · JEE Main

Chemistry22 questions Mathematics23 questions Physics28 questions

Chemical EquilibriumChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 3 questions Coordination CompoundsChemistry · 3 questions HydrocarbonsChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Redox ReactionsChemistry · 2 questions SolutionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Structure of AtomChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions StatisticsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Definite IntegrationMathematics · 1 questions Complex NumbersMathematics · 1 questions Sets and RelationsMathematics · 1 questions ProbabilityMathematics · 1 questions ParabolaMathematics · 2 questions HyperbolaMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Indefinite IntegralsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions DifferentiationMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Differential EquationsMathematics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Electronic DevicesPhysics · 1 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 2 questions Geometrical OpticsPhysics · 2 questions WavesPhysics · 1 questions Alternating CurrentPhysics · 1 questions CapacitorPhysics · 1 questions Center of MassPhysics · 2 questions Current ElectricityPhysics · 3 questions Rotational MotionPhysics · 1 questions ElectrostaticsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Motion in A PlanePhysics · 1 questions MagneticsPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions

Q1.Two solids dissociate as follows – The total pressure when both the solids dissociated simultaneously is - Includes diagram
Chemistry · Chemical Equilibrium · MCQ
Q2.The major product of the following reaction is – Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3. $M n_{2} (C O)_{10}$ is an organometallic compound due to the presence of -
Chemistry · Coordination Compounds · MCQ
Q4.In a chemical reaction, the initial concentration of B was 1.5 times of the concentration of A, but the equilibrium concentrations of A and B were found to be equal. The equilibrium constant (K) for the aforesaid chemical reaction is - Includes diagram
Chemistry · Chemical Equilibrium · MCQ
Q5.The major product of the following reaction is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q6.The increasing order of reactivity of the following compounds towards reaction with alkyl halides directly is (A) (B) (C) (D) Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.The standard electrode potential $E^{o}$ and its temperature coefficient $(\frac{d E ^{o}}{d T})$ for a cell are 2V and $-$ 5 $\times$ 10 $-$ 4 VK $-$ 1 at 300 K respectively. The cell reaction is $Z n$ (s) + $C u^{2 +}$ …
Chemistry · Electrochemistry · MCQ
Q8.Decomposition of X exhibits a rate constant of 0.05 $μ$ g/year. How many year are required for the decomposition of 5 $μ$ g of X into 2.5 $μ$ g?
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q9.Among the following compounds most basic amino acid is -
Chemistry · Biomolecules · MCQ
Q10.The metal d-orbitals that are directly facing the ligands in $K_{3} [C o (C N)_{6}]$ are -
Chemistry · Coordination Compounds · MCQ
Q11.The element with Z = 120 (not yet discovered) will be an/a -
Chemistry · Periodic Table and Periodicity · MCQ
Q12.The hardness of a water sample (in terms of equivalents of $C a C O_{3}$ ) containing 10–3 M $C a S O_{4}$ is (Molar mass of $C a S O_{4}$ = 136 g mol–1)
Chemistry · Redox Reactions · MCQ
Q13.Freezing point of a 4% aqueous solution of X is equal to freezing point of 12% aqueous solution of Y. If molecular weight of X is A, then molecular weight of Y is -
Chemistry · Solutions · MCQ
Q14.50 mL of 0.5 M oxalic acid is needed to neutralize 25 mL of sodium hydroxide solution. The amount of NaOH in 50 mL of the given sodium hydroxide solution is -
Chemistry · Redox Reactions · MCQ
Q15.For diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities?
Chemistry · Thermodynamics · MCQ
Q16.can not be prepared by - Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q17.The correct order for acid strength of compounds : CH $\equiv$ CH, $C H_{3}$ –C $\equiv$ CH and $C H_{2}$ = $C H_{2}$ is as follows
Chemistry · Hydrocarbons · MCQ
Q18.In the following reaction, products A and B are – Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q19.What is the work function of the metal if the light of wavelength 4000 $A \circ$ generates photoelectrons of velocity 6 $\times$ 105 ms–1 from it ? (Mass of electron = 9 $\times$ 10–31 kg; Velocity of light = 3 $\times$ 108…
Chemistry · Structure of Atom · MCQ
Q20.The pair of metal ions that can give a spin only magnetic moment of 3.9 BM for the complex $[M (H_{2} O)_{6}]$ $C l_{2}$ , is -
Chemistry · Coordination Compounds · MCQ
Q21.Among the following four aromatic compounds, which one will have the lowest melting point ?
Chemistry · Basics of Organic Chemistry · MCQ
Q22.In the following reaction : Aldehyde + Alcohol $H C l$ Acetal The best combination is Includes table
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q23.If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is :
Mathematics · Statistics · MCQ
Q24.A ratio of the 5th term from the beginning to the 5th term from the end in the binomial expansion of $(2^{1/3} + \frac{1}{2 ( 3 ) ^{1/3}})^{10}$ is :
Mathematics · Binomial Theorem · MCQ
Q25.Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then $0 \int a$ f(x) g(x) dx is equal to :
Mathematics · Definite Integration · MCQ
Q26.If $\frac{z - α}{z + α} (α \in R)$ is a purely imaginary number and | z | = 2, then a value of $α$ is :
Mathematics · Complex Numbers · MCQ
Q27.Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :
Mathematics · Sets and Relations · MCQ
Q28.In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to :
Mathematics · Probability · MCQ
Q29.The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 – x2 such that the rectangle lies inside the parabola, is :
Mathematics · Parabola · MCQ
Q30.If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola?
Mathematics · Hyperbola · MCQ
Q31.Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of $Δ$ PXQ is maximum. Then this maximum area (in sq.…
Mathematics · Parabola · MCQ
Q32.Consider three boxes, each containing, 10 balls labelled 1, 2, … , 10. Suppose one ball is randomly drawn from each of the boxes. Denote by ni, the label of the ball drawn from the ith box, (i = 1, 2, 3). Then, the number of ways in which…
Mathematics · Permutations and Combinations · MCQ
Q33.Let P = $139013001$ and Q = [qij] be two 3 $\times$ 3 matrices such that Q – P5 = I3. Then $\frac{q _{21} + q _{31}}{q _{32}}$ is…
Mathematics · Matrices and Determinants · MCQ
Q34.If $λ$ be the ratio of the roots of the quadratic equation in x, 3m2x2 + m(m – 4)x + 2 = 0, then the least value of m for which $λ + \frac{1}{λ} = 1,$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q35.An ordered pair ( $α$ , $β$ ) for which the system of linear equations (1 + $α$ ) x + $β$ y + z = 2 $α$ x + (1 + $β$ )y + z = 3 $α$ x + $β$ y + 2z = 2 has a unique solution, is :
Mathematics · Matrices and Determinants · MCQ
Q36.The maximum value of 3cos $θ$ + 5sin $(θ - \frac{π}{6})$ for any real value of $θ$ is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q37.Let S be the set of all points in (– $π$ , $π$ ) at which the function, f(x) = min{sin x, cos x} is not differentiable. Then S is a subset of which of the following ?
Mathematics · Limits Continuity and Differentiability · MCQ
Q38.The integral $\int$ cos(loge x) dx is equal to : (where C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q39. $x \to π /4 lim \frac{c o t ^{3} x - t a n x}{c o s ( x + \frac{π}{4} )}$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q40.The area (in sq. units) of the region bounded by the parabola, y = x2 + 2 and the lines, y = x + 1, x = 0 and x = 3, is
Mathematics · Area Under the Curves · MCQ
Q41.For x > 1, if (2x)2y = 4e2x $-$ 2y, then (1 + loge 2x)2 $\frac{d y}{d x}$ is equal to :
Mathematics · Differentiation · MCQ
Q42.If the straight line, 2x – 3y + 17 = 0 is perpendicular to the line passing through the points (7, 17) and (15, $β$ ), then $β$ equals :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q43.Considering only the principal values of inverse functions, the set A = { x $\geq$ 0: tan $-$ 1(2x) + tan $-$ 1(3x) = $\frac{π}{4}$ }
Mathematics · Inverse Trigonometric Functions · MCQ
Q44.The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an A.P. Then the sum of the original three terms of the given G.P. is :
Mathematics · Sequences and Series · MCQ
Q45.Let y = y(x) be the solution of the differential equation, x $\frac{d y}{d x}$ + y = x loge x, (x > 1). If 2y(2) = loge 4 $-$ 1, then y(e) is equal to :
Mathematics · Differential Equations · MCQ
Q46.For the given cyclic process CAB as shown for a gas, the work done is : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q47.The output of the given logic circuit is : Includes diagram
Physics · Electronic Devices · MCQ
Q48.The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale required to measure 5 $μ$ m diameter of a wire is :
Physics · Units and Measurements · MCQ
Q49.A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite of the same mass, falling towards the earth, collides with the satellite completely inelastically. The speeds of the satellite and the…
Physics · Gravitation · MCQ
Q50.What is the position and nature of image formed by lens combination shown in figure ? (f1, f2 are focal lengths) Includes diagram
Physics · Geometrical Optics · MCQ
Q51.A straight rod of length L extends from x = a to x = L + a. The gravitational force it exerts on a point mass 'm' at x = 0, if the mass per unit length of the rod is A + Bx2 , is given by :
Physics · Gravitation · MCQ
Q52.A travelling harmonic wave is represented by the equation y(x,t) = 10–3sin (50t + 2x), where, x and y are in mater and t is in seconds. Which of the following is a correct statement about the wave ?
Physics · Waves · MCQ
Q53.In the figure shown, a circuit contains two identical resistors with resistance R = 5 $Ω$ and an inductance with L = 2mH. An ideal battery of 15 V is connected in the circuit. What will be the current through the battery long after… Includes diagram
Physics · Alternating Current · MCQ
Q54.In the figure shown, after the switch 'S' is turned from position 'A' to position 'B', the energy dissipated in the circuit in terms of capacitance 'C' and total charge 'Q' is : Includes diagram
Physics · Capacitor · MCQ
Q55.A simple pendulum, made of a string of length $ℓ$ and a bob of mass m, is released from a small angle $θ_{0}$ . It strikes a block of mass M, kept on a horizontal surface at its lowest point of oscillations, elastically. It…
Physics · Center of Mass · MCQ
Q56.In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation $\frac{d R}{d ℓ}$ of its resistance R with length $ℓ$ is $\frac{d R}{d ℓ} \propto \frac{1}{ℓ}$ . Two equal… Includes diagram
Physics · Current Electricity · MCQ
Q57.The galvanometer deflection, when key K1 is closed but K2 is open, equals $θ$ 0 (see figure). On closing K2 also and adjusting R2 to 5 $Ω$ , the deflection in galvanometer becomes $\frac{θ _{0}}{5} .$ . The resistance of the… Includes diagram
Physics · Current Electricity · MCQ
Q58.A point source of light, S is placed at distance L in front of the centre of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance 2L as shown… Includes diagram
Physics · Geometrical Optics · MCQ
Q59.The position vector of the centre of mass $r_{c m}$ of an asymmetric uniform bar of negligible area of crosssection as shown in figure is : Includes diagram
Physics · Center of Mass · MCQ
Q60.Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its axis be I. The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also I, is :
Physics · Rotational Motion · MCQ
Q61.Determine the electric dipole moment of the system of the three charges, placed on the vertices of an equilateral triangle, as shown in the figure : Includes diagram
Physics · Electrostatics · MCQ
Q62.A light wave is incident normally on a glass slab of refractive index 1.5. If 4 % of light gets reflected and the amplitude of the electric field of the incident light is 30 V/m, then the amplitude of the electric field for the wave…
Physics · Electromagnetic Waves · MCQ
Q63.A particle A of mass 'm' and charge 'q' is accelerated by a potential difference of 50 V. Another particle B of mass ' 4 m' and charge 'q' is accelerated by a potential difference of 2500 V. The ratio of de-Broglie wavelengths $\frac{λ _{A}}{λ _{B}}$ …
Physics · Dual Nature of Radiation · MCQ
Q64.A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductivity of the material of the inner cylinder is K1 and the of the outer cylinder is K2. Assuming no loss of heat, the…
Physics · Heat and Thermodynamics · MCQ
Q65.An ideal gas occupies a volume of 2m3 at a pressure of 3 $\times$ 106 Pa. The energy of the gas is :
Physics · Heat and Thermodynamics · MCQ
Q66.A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60o with ground level. But he finds the aeroplane right vertically above his position. If v is the speed of sound, speed of the plane is :
Physics · Motion in A Plane · MCQ
Q67.As shown in the figure, two infinitely long, identical wires are bent by 90o and placed in such a way that the segments LP and QM are along the x-axis, while segments PS and QN are parallel to the y-axis. If OP = OQ = 4cm, and the… Includes diagram
Physics · Magnetics · MCQ
Q68.Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If the 25 W and 100 W bulbs draw powers P1 and P2 respectively, then :
Physics · Current Electricity · MCQ
Q69.A particle of mass m moves in a circular orbit in a central potential field U(r) = $\frac{1}{2}$ kr2. If Bohr 's quantization conditions are applied, radii of possible orbitls and energy levels vary with quantum number n as :
Physics · Atoms and Nuclei · MCQ
Q70.Two light identical springs of spring constant k are attached horizontally at the two ends of a uniform horizontal rod AB of length $ℓ$ and mass m. The rod is pivoted at its centre 'O' and can rotate freely in horizontal plane. The… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q71.A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when : (i) they…
Physics · Motion in A Straight Line · MCQ
Q72.A proton and an $α$ -particle (with their masses in the ratio of 1 : 4 and charges in the ratio of 1 : 2) are accelerated from rest through a potential difference V. If a uniform magnetic field (B) is set up perpendicular to their…
Physics · Magnetics · MCQ
Q73.There is a uniform spherically symmetric surface charge density at a distance R0 from the origin. The charge distribution is initially at rest and starts expanding because of mutual repulsion. The figure that represents best the speed V…
Physics · Electrostatics · MCQ