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2019 · 10 Apr · Shift 2

71 questions · JEE Main

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2019 · 10 Apr · Shift 2

2019 · 10 Apr · Shift 2

71 questions · JEE Main

Chemistry22 questions Mathematics21 questions Physics28 questions

Basics of Organic ChemistryChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions ElectrochemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions D and F Block ElementsChemistry · 3 questions Structure of AtomChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions P Block ElementsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions DifferentiationMathematics · 1 questions Application of DerivativesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Vector AlgebraMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions StatisticsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Differential EquationsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions HyperbolaMathematics · 1 questions Binomial TheoremMathematics · 1 questions Properties of MatterPhysics · 5 questions Motion in A PlanePhysics · 1 questions Rotational MotionPhysics · 3 questions MagneticsPhysics · 2 questions Laws of MotionPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Wave OpticsPhysics · 1 questions GravitationPhysics · 1 questions WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Current ElectricityPhysics · 1 questions Electronic DevicesPhysics · 1 questions Alternating CurrentPhysics · 1 questions Units and MeasurementsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 1 questions CapacitorPhysics · 1 questions

Q1.The increasing order of nucleophilicity of the following nucleophiles is : (a) $C H_{3} C O_{2}$ $-$ (b) $H_{2} O$ (c) $C H_{3} S O_{3}$ $-$ (d) $O - H$
Chemistry · Basics of Organic Chemistry · MCQ
Q2.The major product 'Y' in the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.Which one of the following graphs between molar conductivity ( $Λ_{m}$ ) versus $C$ is correct ?
Chemistry · Electrochemistry · MCQ
Q4.The crystal field stabilization energy (CFSE) of $[F e (H_{2} O)_{6}] C l_{2}$ and $K_{2} [N i C l_{4}]$ respectively, are :
Chemistry · Coordination Compounds · MCQ
Q5.Which of these factors does not govern the stability of a conformation in acyclic compounds?
Chemistry · Basics of Organic Chemistry · MCQ
Q6.The pH of a 0.02 M $N H_{4} C l$ solution will be : [given Kb ( $N H_{4} O H$ ) = 10–5 and log 2 = 0.301]
Chemistry · Ionic Equilibrium · MCQ
Q7.The difference between $Δ$ H and $Δ$ U ( $Δ$ H – $Δ$ U), when the combustion of one mole of heptane(l) is carried out at a temperature T, is equal to :
Chemistry · Thermodynamics · MCQ
Q8.1 g of a non-volatile non-electrolyte solute is dissolved in 100 g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1 : 5. The ratio of the elevation in their boiling points, $\frac{Δ T _{b} ( A )}{Δ T _{b} ( B )}$ …
Chemistry · Solutions · MCQ
Q9.The minimum amount of $O_{2}$ (g) consumed per gram of reactant is for the reaction : (Given atomic mass : Fe = 56, O = 16, Mg = 24, P = 31, C = 12, H = 1)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q10.For the reaction, 2 $S O_{2}$ (g) + $O_{2}$ (g) = 2 $S O_{3}$ (g), $Δ$ H = –57.2 kJ mol–1 and KC = 1.7 × 1016 Which of the following statement is incorrect ?
Chemistry · Chemical Equilibrium · MCQ
Q11.The correct order of the first ionization enthalpies is :
Chemistry · D and F Block Elements · MCQ
Q12.The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The spectral series are :
Chemistry · Structure of Atom · MCQ
Q13.Compound A( $C_{9} H_{10} O$ ) shows positive iodoform test. Oxidation of A with $K M n O_{4}$ / $K O H$ given acid B( $C_{8} H_{6} O_{4}$ ). Anhydride of B is used for the preparation of phenolphthalein. Compound A is:
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q14.The major product 'Y' in the following reactions is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q15.For the reaction of $H_{2}$ with $I_{2}$ , the rate constant is 2.5 × 10–4 dm3 mol–1s–1 at 327°C and 1.0 dm3 mol–1 at 527°C. The activation energy for the reaction, in kJ mole–1 is : (R = 8.314 JK–1 mol–1 )
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q16.The INCORRECT statement is :
Chemistry · D and F Block Elements · MCQ
Q17.In chromatography, which of the following statements is incorrect for Rf ?
Chemistry · Basics of Organic Chemistry · MCQ
Q18.Number of stereo centers present in linear and cyclic structures of glucose are respectively :
Chemistry · Biomolecules · MCQ
Q19.The highest possible oxidation states of uranium and plutonium, respectively are :
Chemistry · D and F Block Elements · MCQ
Q20.The noble gas that does not occur in the atmosphere is :
Chemistry · P Block Elements · MCQ
Q21.Which of the following is not a correct method of the preparation of benzylamine from cyanobenzene ?
Chemistry · Compounds Containing Nitrogen · MCQ
Q22.The major product obtained in the given reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q23.Let f(x) = loge(sin x), (0 < x < $π$ ) and g(x) = sin–1 (e–x ), (x $\geq$ 0). If $α$ is a positive real number such that a = (fog)'( $α$ ) and b = (fog)( $α$ ), then :
Mathematics · Differentiation · MCQ
Q24.A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm3 /min. When the thickness of the ice is 5 cm, then the rate at which the thickness (in cm/min) of the ice decreases, is :
Mathematics · Application of Derivatives · MCQ
Q25.The number of real roots of the equation 5 + |2x – 1| = 2x (2x – 2) is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q26.If $x \to 1 lim \frac{x ^{2} - a x + b}{x - 1} = 5$ , then a + b is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is :
Mathematics · Probability · MCQ
Q28.If $\int x^{5} e^{- x^{2}} d x = g (x) e^{- x^{2}} + c$ , where c is a constant of integration, then $g$ (–1) is equal to :
Mathematics · Indefinite Integrals · MCQ
Q29.Let a1, a2, a3,......be an A.P. with a6 = 2. Then the common difference of this A.P., which maximises the product a1a4a5, is :
Mathematics · Sequences and Series · MCQ
Q30.The distance of the point having position vector $- i + 2 j + 6 k$ from the straight line passing through the point (2, 3, – 4) and parallel to the vector, $6 i + 3 j - 4 k$ is :
Mathematics · Vector Algebra · MCQ
Q31.If $cos^{- 1} x - cos^{- 1} \frac{y}{2} = α$ ,where –1 $\leq$ x $\leq$ 1, – 2 $\leq$ y $\leq$ 2, x $\leq \frac{y}{2}$ , then for all x, y, 4x2 – 4xy cos $α$ + y2 is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q32.If both the mean and the standard deviation of 50 observations x1, x2,..., x50 are equal to 16, then the mean of (x1 – 4)2 , (x2 – 4)2 ,....., (x50 – 4)2 is :
Mathematics · Statistics · MCQ
Q33.Lines are drawn parallel to the line 4x – 3y + 2 = 0, at a distance $\frac{3}{5}$ from the origin. Then which one of the following points lies on any of these lines ?
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q34.Let y = y(x) be the solution of the differential equation, $\frac{d y}{d x} + y tan x = 2 x + x^{2} tan x$ , $x \in (- \frac{π}{2}, \frac{π}{2})$ , such that y(0) = 1. Then :
Mathematics · Differential Equations · MCQ
Q35.Let $a$ , b and c be in G.P. with common ratio r, where $a e$ 0 and 0 < r $\leq \frac{1}{2}$ . If 3 $a$ , 7b and 15c are the first three terms of an A.P., then the 4th term of this A.P. is :
Mathematics · Sequences and Series · MCQ
Q36.Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars, then the total number of beams is :
Mathematics · Permutations and Combinations · MCQ
Q37.The integral $π /6 \int π /3 sec^{2/3} x cos e c^{4/3} x d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q38.The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the first quadrant is :
Mathematics · Area Under the Curves · MCQ
Q39.If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = $\frac{π}{2}$ , then :
Mathematics · Complex Numbers · MCQ
Q40.The sum of the real roots of the equation $x 2 - 3 - 6 - 3 x 2 x - 1 x - 3 x + 2 = 0$ , is equal to :
Mathematics · Matrices and Determinants · MCQ
Q41.If 5x + 9 = 0 is the directrix of the hyperbola 16x2 – 9y2 = 144, then its corresponding focus is :
Mathematics · Hyperbola · MCQ
Q42.The smallest natural number n, such that the coefficient of x in the expansion of $(x^{2} + \frac{1}{x ^{3}})^{n}$ is nC23, is :
Mathematics · Binomial Theorem · MCQ
Q43.Let $λ$ be a real number for which the system of linear equations x + y + z = 6, 4x + $λ$ y – $λ$ z = $λ$ – 2, 3x + 2y – 4z = – 5 has infinitely many solutions. Then $λ$ is a root of the quadratic equation:
Mathematics · Matrices and Determinants · MCQ
Q44.A submarine experiences a pressure of 5.05 × 106 Pa at a depth of d1 in a sea. When it goes further to a depth of d2, it experiences a pressure of 8.08 × 106 Pa. Then d2 –d1 is approximately (density of water = 103 kg/m3 and acceleration…
Physics · Properties of Matter · MCQ
Q45.A plane is inclined at an angle $α$ = 30° with respect to the horizontal. A particle is projected with a speed u = 2 ms–1 , from the base of the plane, making an angle $θ$ = 15° with respect to the plane as shown in the figure.… Includes diagram
Physics · Motion in A Plane · MCQ
Q46.The time dependence of the position of a particle of mass m = 2 is given by $r (t) = 2 t i - 3 t^{2} j$ . Its angular momentum, with respect to the origin, at time t = 2 is
Physics · Rotational Motion · MCQ
Q47.The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a current of 10 A is : [Take $μ$ 0 = 4 $π$ × 10–7 NA–2]
Physics · Magnetics · MCQ
Q48.Two blocks A and B of masses mA = 1 kg and mB = 3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F that can be… Includes diagram
Physics · Laws of Motion · MCQ
Q49.Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm–2. If the surface has an area of 25 cm2, the momentum transferred to the surface in 40 min time duration will be :
Physics · Electromagnetic Waves · MCQ
Q50.A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of $\frac{7 M}{8}$ and is converted into a uniform disc of radius 2R. The second part is converted into a uniform solid sphere. Let I1 be…
Physics · Rotational Motion · MCQ
Q51.In Li+ +, electron in first Bohr orbit is excited to a level by a radiation of wavelength $λ$ . When the ion gets deexcited to the ground state in all possible ways (including intermediate emissions), a total of six spectral lines are…
Physics · Atoms and Nuclei · MCQ
Q52.In a Young's double slit experiment, the ratio of the slit's width is 4 : 1. The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will be :
Physics · Wave Optics · MCQ
Q53.A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational field of the planet acts on the spaceship, what will be the number of complete revolutions made by the spaceship in 24 hours around…
Physics · Gravitation · MCQ
Q54.The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz, is :
Physics · Waves · MCQ
Q55.In an experiment, brass and steel wires of length 1 m each with areas of cross section 1mm2 are used. The wires are connected in series and one end of the combined wire is connected to a rigid support and other end is subjected to…
Physics · Properties of Matter · MCQ
Q56.A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. if this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular…
Physics · Magnetics · MCQ
Q57.Water from a tap emerges vertically downwards with an initial speed of 1.0 ms–1 . The cross-sectional area of the tap is 10–4 m2. Assume that the pressure is constant throughout the stream of water and that the flow is streamlined. The…
Physics · Properties of Matter · MCQ
Q58.One mole of ideal gas passes through a process where pressure and volume obey the relation $P = P_{0} [1 - \frac{1}{2} (\frac{V _{0}}{V})^{2}]$ . Here P0 and V0 are constants. Calculate the change in the…
Physics · Heat and Thermodynamics · MCQ
Q59.Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of resistivity $ρ$ . The resistance between the two spheres will be :
Physics · Current Electricity · MCQ
Q60.The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener diode is 6 V and the load resistance is, RL = 4k $Ω$ . The series resistance of the circuit is Ri = 1 k $Ω$ . If the battery… Includes diagram
Physics · Electronic Devices · MCQ
Q61.A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the figure. The system is initially at rest. The constant torque, that will make the system rotate about AB at 25 rotations per second in… Includes diagram
Physics · Rotational Motion · MCQ
Q62.A coil of self inductance 10 mH and resistance 0.1 $Ω$ is connected through a switch to a battery of internal resistance 0.9 $Ω$ . After the switch is closed, the time taken for the current to attain 80% of the saturation value…
Physics · Alternating Current · MCQ
Q63.A bullet of mass 20 g has an initial speed of 1 ms–1 , just before it starts penetrating a mud wall of thickness 20 cm. If the wall offers a mean resistance of 2.5 × 10–2 N, the speed of the bullet after emerging from the other side of the…
Physics · Laws of Motion · MCQ
Q64.In the formula X = 5YZ2 , X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y in SI units?
Physics · Units and Measurements · MCQ
Q65.In free space, a particle A of charge 1 $μ$ C is held fixed at a point P. Another particle B of the same charge and mass 4 $μ$ g is kept at a distance of 1 mm from P. If B is released, then its velocity at a distance of 9 mm from P is…
Physics · Electrostatics · MCQ
Q66.When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $Δ$ T. the heat required to produce the same change in temperature, at a constant pressure is :
Physics · Heat and Thermodynamics · MCQ
Q67.The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit?
Physics · Properties of Matter · MCQ
Q68.A 2 mW laser operates at wavelength of 500 nm. The number of photons that will be emitted per second is : [Given Planck's constant h = 6.6 × 10–34 Js, speed of light c = 3.0 × 108 m/s]
Physics · Dual Nature of Radiation · MCQ
Q69.A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water? [Take, density of water = 103 kg/m3]
Physics · Properties of Matter · MCQ
Q70.The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used? Includes diagram
Physics · Geometrical Optics · MCQ
Q71.A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E, as shown in figure. Its bob has mass m and charge q. The time period of the pendulum is given by : Includes diagram
Physics · Capacitor · MCQ