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2019 · 11 Jan · Shift 2

70 questions · JEE Main

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2019 · 11 Jan · Shift 2

2019 · 11 Jan · Shift 2

70 questions · JEE Main

Chemistry20 questions Mathematics22 questions Physics28 questions

Haloalkanes and HaloarenesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions Coordination CompoundsChemistry · 2 questions BiomoleculesChemistry · 1 questions ThermodynamicsChemistry · 3 questions Some Basic Concepts of ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Structure of AtomChemistry · 1 questions SolutionsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Sequences and SeriesMathematics · 2 questions HyperbolaMathematics · 2 questions ProbabilityMathematics · 1 questions EllipseMathematics · 1 questions Application of DerivativesMathematics · 1 questions Definite IntegrationMathematics · 1 questions FunctionsMathematics · 2 questions Indefinite IntegralsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Complex NumbersMathematics · 1 questions Differential EquationsMathematics · 1 questions ParabolaMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Rotational MotionPhysics · 3 questions Current ElectricityPhysics · 3 questions Electronic DevicesPhysics · 1 questions CapacitorPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions MagneticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Center of MassPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 5 questions Atoms and NucleiPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Geometrical OpticsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Wave OpticsPhysics · 1 questions

Q1.Which of the following compounds will produce a precipitate with $A g N O_{3}$ ?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q2.In the following compound, the favourable site/s for protonation is/are : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.The major product obtained in the following conversion is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.Which of the following compounds reacts with ethylmagnesium bromide and also decolourizes bromine water solution:
Chemistry · Alcohols Phenols and Ethers · Multiple correct
Q5.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q6.The major product obtained in the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q7.The coordination number of Th in $K_{4} [T h (C_{2} O_{4})_{4} (O H_{2})_{2}]$ is : (C2O $_{4}^{2 -}$ = Oxalato)
Chemistry · Coordination Compounds · MCQ
Q8.The correct match between Item I and Item II is : Includes table
Chemistry · Biomolecules · MCQ
Q9.For the equilibrium, 2 $H_{2} O$ $⇌$ $H_{3} O^{+}$ + $O H$ $-$ , the value of $Δ$ Go at 298 K is approximately :
Chemistry · Thermodynamics · MCQ
Q10.25 ml of the given HCl solution requires 30 mL of 0.1 M sodium carbonate solution. What is the volume of this HCl solution required to titrate 30 mL of 0.2 M aqueous NaOH solutions ?
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q11.Given the equilibrium constant: KC of the reaction : $C u$ (s) + 2 $A g^{+}$ (aq) $\to$ $C u^{2 +}$ (aq) + 2 $A g$ (s) is 10 $\times$ 1015, calculate the E $_{ce l l}^{0}$ of this reaciton at 298 K [2.303 $\frac{R T}{F}$ at 298 K = 0.059V]
Chemistry · Electrochemistry · MCQ
Q12.The number of bridging $C O$ ligand(s) and Co-Co bond(s) in $C o_{2} (C O)_{8}$ , respectively are :
Chemistry · Coordination Compounds · MCQ
Q13.The reaction 2X $\to$ B is a zeroth order reaction. If the initial concentration of X is 0.2 M, the half-life is 6 h. When the initial concentration of X is 0.5 M, the time required to reach its final concentration of 0.2 M will be:
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q14.A compound 'X' on treatment with $B r_{2}$ / $N a O H$ , provided $C_{3} H_{9} N$ , which gives positive carbylamine test. Compound 'X' is :
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by $Δ$ rGo = A – BT Where A and B are non-zero constants. Which of the following is TRUE about this reaction?
Chemistry · Thermodynamics · MCQ
Q16. $\underline{A} 4 K O H, O_{2} (G r ee n) 2 \underline{B} + 2 H_{2} O 3 \underline{B} 4 H C l (P u r pl e) 2 \underline{C} + M n O_{2} + 2 H_{2} O 2 \underline{C} H_{2} O . K I (P u r pl e) 2 \underline{A} + 2 K O H + \underline{D}$ …
Chemistry · D and F Block Elements · MCQ
Q17.The reaction, MgO(s) + C(s) $\to$ Mg(s) + CO(g), for which $Δ$ rHo + 491.1 kJ mol–1 and $Δ$ rSo = 198.0 JK–1 mol–1, is not feasible at 298 K. Temperature above which reaciton will be feasible is :
Chemistry · Thermodynamics · MCQ
Q18.The de Broglie wavelength ( $λ$ ) associated with a photoelectron varies with the frequency (v) of the incident radiation as, [v0 is threshold frequency] :
Chemistry · Structure of Atom · MCQ
Q19. $K_{2} H g l_{4}$ is 40% ionised in aqueous solution. The value of its van't Hoff factor (i) is:
Chemistry · Solutions · MCQ
Q20.The correct option with respect to the Pauling electronegativity values of the element is :
Chemistry · Periodic Table and Periodicity · MCQ
Q21.Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression $\frac{x ^{m} y ^{n}}{( 1 + x ^{2 m} ) ( 1 + y ^{2 n} )}$ is :
Mathematics · Sequences and Series · MCQ
Q22.If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is :
Mathematics · Hyperbola · MCQ
Q23.Let S = {1, 2, . . . . . ., 20}. A subset B of S is said to be "nice", if the sum of the elements of B is 203. Then the probability that a randonly chosen subset of S is "nice" is :
Mathematics · Probability · MCQ
Q24.Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following…
Mathematics · Ellipse · MCQ
Q25.Let f(x) = $\frac{x}{a ^{2} + x ^{2}} - \frac{d - x}{b ^{2} + ( d - x ) ^{2}},$ x $\in$ R, where a, b and d are non-zero real constants. Then :
Mathematics · Application of Derivatives · MCQ
Q26.The integral $π /6 \int π /4 \frac{d x}{s i n 2 x ( t a n ^{5} x + c o t ^{5} x )}$ equals :
Mathematics · Definite Integration · MCQ
Q27.Let a function f : (0, $\infty$ ) $\to$ (0, $\infty$ ) be defined by f(x) = $1 - \frac{1}{x}$ . Then f is :
Mathematics · Functions · MCQ
Q28.If $\int \frac{x + 1}{2 x - 1} d x$ = f(x) $2 x - 1$ + C, where C is a constant of integration, then f(x) is equal to :
Mathematics · Indefinite Integrals · MCQ
Q29.The area (in sq. units) in the first quadrant bounded by the parabola, y = x2 + 1, the tangent to it at the point (2, 5) and the coordinate axes is :
Mathematics · Area Under the Curves · MCQ
Q30. $x \to 0 lim \frac{x c o t ( 4 x )}{s i n ^{2} x c o t ^{2} ( 2 x )}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q31.Let $α$ and $β$ be the roots of the quadratic equation x2 sin $θ$ – x(sin $θ$ cos $θ$ + 1) + cos $θ$ = 0 (0 < $θ$ < 45o), and $α$ < $β$ . Then $n = 0 \sum \infty (α^{n} + \frac{( - 1 ) ^{n}}{β ^{n}})$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q32.If $a - b - c 2 b 2 c 2 a b - c - a 2 c 2 a 2 b c - a - b$ = (a + b + c) (x + a + b + c)2, x $e$ 0, then x is equal to :
Mathematics · Matrices and Determinants · MCQ
Q33.If 19th term of a non-zero A.P. is zero, then its (49th term) : (29th term) is :
Mathematics · Sequences and Series · MCQ
Q34.Let z be a complex number such that |z| + z = 3 + i (where i = $- 1$ ). Then |z| is equal to :
Mathematics · Complex Numbers · MCQ
Q35.Let K be the set of all real values of x where the function f(x) = sin |x| – |x| + 2(x – $π$ ) cos |x| is not differentiable. Then the set K is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.The number of functions f from {1, 2, 3, ...., 20} onto {1, 2, 3, ...., 20} such that f(k) is a multiple of 3, whenever k is a multiple of 4, is :
Mathematics · Functions · MCQ
Q37.The solution of the differential equation, $\frac{d y}{d x}$ = (x – y)2, when y(1) = 1, is :
Mathematics · Differential Equations · MCQ
Q38.A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this circle, is :
Mathematics · Hyperbola · MCQ
Q39.If the area of the triangle whose one vertex is at the vertex of the parabola, y2 + 4(x – a2) = 0 and the othertwo vertices are the points of intersection of the parabola and y-axis, is 250 sq. units, then a value of 'a' is :
Mathematics · Parabola · MCQ
Q40.If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation of the diagonal AD is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q41.All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :
Mathematics · Inverse Trigonometric Functions · MCQ
Q42.Let $3 i + j, i + 3 j$ and $β i + (1 - β) j$ respectively be the position vectors of the points A, B and C with respect to the origin O. If the…
Mathematics · Vector Algebra · MCQ
Q43.A string is wound around a hollow cylinder of mass 5 kg and radius 0.5m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular… Includes diagram
Physics · Rotational Motion · MCQ
Q44.In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance of 40 cm from A. If a 10 $Ω$ resistor is connected in series with R1, the null point shifts by 10 cm. The resistance that should… Includes diagram
Physics · Current Electricity · MCQ
Q45.The circuit shown below contains two ideal diodes, each with a forward resistance of 50 $Ω$ . If the battery voltage is 6 V, the current through the 100 $Ω$ resistance (in Amperes) is : Includes diagram
Physics · Electronic Devices · MCQ
Q46.Seven capacitors, each of capacitance 2 $μ$ F, are to be connected in a configuration to obtain an effective capacitance of $(\frac{6}{13}) μ F .$ Which of the combinations, shown in figures below, will achieve the…
Physics · Capacitor · MCQ
Q47.In the circuit shown, the potential difference between A and B is : Includes diagram
Physics · Current Electricity · MCQ
Q48.A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO' ,passing through the… Includes diagram
Physics · Rotational Motion · MCQ
Q49.A pendulum is executing simple harmonic motion and its maximum kinetic energy is K1. If the length of the pendulum is doubled and it performs simple harmonic motion with the same amplitude as in the first case, its maximum kinetic energy…
Physics · Simple Harmonic Motion · MCQ
Q50.A particle moves from the point $(2.0 i + 4.0 j)$ m, at t = 0, with an initial velocity $(5.0 i + 4.0 j)$ ms $-$ 1. It is acted upon by a constant force which produces a…
Physics · Motion in A Straight Line · MCQ
Q51.The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5m, the angle between the force and the position vector is (in radians) :
Physics · Rotational Motion · MCQ
Q52.A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of each side of the frame is increased by a factor of 3, keeping the number of turns of the coil per unit length of the frame…
Physics · Electromagnetic Induction · MCQ
Q53.If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young,s modulus will be:
Physics · Units and Measurements · MCQ
Q54.A particle of mass m and charge q is in an electric and magnetic field given by $E = 2 i + 3 j; B = 4 j + 6 k .$ The charged particle is shifted from he origin to the…
Physics · Magnetics · MCQ
Q55.A galvanometer having a resistance of 20 $Ω$ and 30 divisions on both sides has figure of merit 0.005 ampere/division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt, is:
Physics · Current Electricity · MCQ
Q56.In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 300 nm to 400 nm. The decrease in the stopping potential is close to: ( $\frac{h c}{e}$ = 1240 nm eV)
Physics · Dual Nature of Radiation · MCQ
Q57.A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the same direction on the moving particle during time interval T so that its momentum changes from p to 3p. Here k is a…
Physics · Center of Mass · MCQ
Q58.A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagnetic wave is given by : [Given permittivity of space $\in$ 0 = 9 $\times$ 10–12 SI units, Speed of light c = 3 $\times$ …
Physics · Electromagnetic Waves · MCQ
Q59.A thermometer graduated according to a linear scale reads a value x0 when in contact with boiling water, and x0/3 when in contact with ice. What is the temperature of an object in oC, if this thermometer in the contact with the object…
Physics · Heat and Thermodynamics · MCQ
Q60.In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is $λ$ . If an electron jumps from N-shell to the L-shell, the wavelength of emitted radiation will be:
Physics · Atoms and Nuclei · MCQ
Q61.The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of simple pendulum on the Earth is 2 s. The period of oscillation of the same pendulum on the planet would be :
Physics · Simple Harmonic Motion · MCQ
Q62.A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20 $\times$ 10–6 J/ T when a magnetic intensity of 60 $\times$ 103 A/m is applied. Its magnetic susceptibility is
Physics · Magnetic Properties of Matter · MCQ
Q63.A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is $3$ , then the angle of incidence is:
Physics · Geometrical Optics · MCQ
Q64.A metal ball of mass 0.1 kg is heated upto 500oC and dropped into a vessel of heat capacity 800 JK–1 and containing 0.5 kg water. The initial temperature of water and vessel is 30oC. What is the approximate percentage increment in the…
Physics · Heat and Thermodynamics · MCQ
Q65.An electric field of 1000 V/m is applied to an electric dipole at angle of 45o. The value of electric dipole moment is 10–29 C.m. What is the potential energy of the electric dipole?
Physics · Electrostatics · MCQ
Q66.When 100 g of a liquid A at 100oC is added to 50 g of a liquid B at temperature 75oC, the temperature of the mixture becomes 90oC. The temperature of the mixture, if 100 g of liquid A at 100oC is added to 50 g of liquid B at 50oC, will be :
Physics · Heat and Thermodynamics · MCQ
Q67.Two rods A and B of identical dimensions are at temperature 30°C. If A is heated upto 180oC and B upto ToC, then the new lengths are the same. If the ratio of the coefficients of linear expansion of A and B is 4 : 3, then the value of T is
Physics · Heat and Thermodynamics · MCQ
Q68.In a double-slit experiment, green light (5303 $A \circ$ ) falls on a double slit having a separation of 19.44 $μ$ m and awidht of 4.05 $μ$ m. The number of bright fringes between the first and the second diffraction…
Physics · Wave Optics · MCQ
Q69.The region between y = 0 and y = d contains a magnetic field $B = B z$ . A particle of mass m and charge q enters the region with a velocity $v = v i .$ If d $= \frac{m v}{2 q B},$ the…
Physics · Magnetics · MCQ
Q70.In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K, where K is a constant. In this process the temperature of the gas is increased by $Δ$ T. The amount of heat…
Physics · Heat and Thermodynamics · MCQ