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2019 · 10 Apr · Shift 1

67 questions · JEE Main

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2019 · 10 Apr · Shift 1

2019 · 10 Apr · Shift 1

67 questions · JEE Main

Chemistry22 questions Mathematics21 questions Physics24 questions

Chemical Bonding and Molecular StructureChemistry · 2 questions Basics of Organic ChemistryChemistry · 2 questions Structure of AtomChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions SolutionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions ElectrochemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions ProbabilityMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions 3D GeometryMathematics · 1 questions Differential EquationsMathematics · 1 questions Complex NumbersMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions FunctionsMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Definite IntegrationMathematics · 1 questions HyperbolaMathematics · 1 questions MagneticsPhysics · 2 questions GravitationPhysics · 1 questions Current ElectricityPhysics · 5 questions Dual Nature of RadiationPhysics · 1 questions Alternating CurrentPhysics · 1 questions Geometrical OpticsPhysics · 2 questions ElectrostaticsPhysics · 1 questions Rotational MotionPhysics · 3 questions Electromagnetic WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Laws of MotionPhysics · 1 questions CapacitorPhysics · 1 questions Center of MassPhysics · 1 questions Properties of MatterPhysics · 1 questions

Q1.The oxoacid of sulphur that does not contain bond between sulphur atoms is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.The increasing order of the reactivity of the following compounds towards electrophilic aromatic substitution reactions is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.The graph between $∣ ψ ∣^{2}$ and r (radial distance) is shown below. This represents : Includes diagram
Chemistry · Structure of Atom · MCQ
Q4.The major product of the following reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q5.During the change of $O_{2}$ to $O_{2}^{-}$ , the incoming electron goes to the orbital :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q6.Three complexes, $[C o C l (N H_{3})_{5}]^{2 +}$ (I), $[C o (N H_{3})_{5} H_{2} O]^{3 +}$ (II) and $[C o (N H_{3})_{6}]^{3 +}$ (III) absorb light in the visible region. The correct order of the wavelength of light absorbed by them is :
Chemistry · Coordination Compounds · MCQ
Q7.The species that can have a trans-isomer is : (en = ehane-1, 2-diamine, ox = oxalate)
Chemistry · Coordination Compounds · MCQ
Q8.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.At room temperature, a dilute solution of urea is prepared by dissolving 0.60 of urea in 360 g of water. If the vapour pressure of pure water at this temperature is 35 mm Hg, lowering of vapour pressure will be. (molar mass of urea = 60 g…
Chemistry · Solutions · MCQ
Q10.The principle of column chromatography is :
Chemistry · Basics of Organic Chemistry · MCQ
Q11.A process will be spontaneous at all temperatures if :
Chemistry · Thermodynamics · MCQ
Q12.At 300 K and 1 atmospheric pressure, 10 mL of a hydrocarbon required 55 mL of $O_{2}$ for complete combustion, and 40 mL of $C O_{2}$ is formed. The formula of the hydrocarbon is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q13.Consider the following statements (a) The pH of a mixture containing 400 mL of 0.1 M $H_{2} S O_{4}$ and 400 mL of 0.1 M $N a O H$ will be approximately 1.3 (b) Ionic product of water is temperature dependent. (c) A monobasic acid with Ka = 10–5…
Chemistry · Ionic Equilibrium · MCQ
Q14.A bacterial infection in an internal wound grows as N'(t) = N0 exp(t), where the time t is in hours. A does of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as $\frac{d N}{d t} = - 5 N^{2}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q15.The major product of the following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q16.Major products of the following reaction are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q17.Consider the hydrated ions of $T i^{2 +}$ , $V^{2 +}$ , $T i^{3 +}$ , and $S c^{3 +}$ . The correct order of their spin-only magnetic moments is :
Chemistry · D and F Block Elements · MCQ
Q18.The isoelectronic set of ions is :
Chemistry · Structure of Atom · MCQ
Q19.Consider the statements S1 and S2 S1 : Conductivity always increases with decrease in the concentration of electrolyte. S2 : Molar conductivity always increases with decrease in the concentration of electrolyte. The correct option among…
Chemistry · Electrochemistry · MCQ
Q20.Ethylamine ( $C_{2} H_{5} N H_{2}$ ) can be obtained from N-ethylphatalimide on treatment with :
Chemistry · Compounds Containing Nitrogen · MCQ
Q21.Amylopectin is compound of :
Chemistry · Biomolecules · MCQ
Q22.Increasing rate of SN1 reaction in the following compounds is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q23.Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is :
Mathematics · Probability · MCQ
Q24.If $Δ_{1} = x - sin θ cos θ sin θ - x 1 cos θ 1 x$ and $Δ_{2} = x - sin 2 θ cos 2 θ sin 2 θ - x 1 cos 2 θ 1 x$ …
Mathematics · Matrices and Determinants · MCQ
Q25.If the length of the perpendicular from the point ( $β$ , 0, $β$ ) ( $β e$ 0) to the line, $\frac{x}{1} = \frac{y - 1}{0} = \frac{z + 1}{- 1}$ is $\frac{3}{2}$ , then $β$ is equal to :
Mathematics · 3D Geometry · MCQ
Q26.If y = y(x) is the solution of the differential equation $\frac{d y}{d x} = (tan x - y) sec^{2} x$ , $x \in (- \frac{π}{2}, \frac{π}{2})$ , such that y (0) = 0, then $y (- \frac{π}{4})$ …
Mathematics · Differential Equations · MCQ
Q27.If a > 0 and z = $\frac{( 1 + i ) ^{2}}{a - i}$ , has magnitude $\frac{2}{5}$ , then $\overline{z}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q28.If $α$ and $β$ are the roots of the quadratic equation, x2 + x sin $θ$ - 2 sin $θ$ = 0, $θ \in (0, \frac{π}{2})$ , then $\frac{α ^{12} + β ^{12}}{( α ^{- 12} + β ^{- 12} ) . ( α - β ) ^{24}}$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q29.All the pairs (x, y) that satisfy the inequality $2^{s i n^{2} x - 2 s i n x + 5} . \frac{1}{4 ^{s i n^{2} y}} \leq 1$ also satisfy the equation
Mathematics · Quadratic Equation and Inequalities · MCQ
Q30.The region represented by| x – y | $\leq$ 2 and | x + y| $\leq$ 2 is bounded by a :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.If $f (x) = ⎩ ⎨ ⎧ \frac{s i n ( p + 1 ) x + s i n x}{x} q \frac{x + x ^{2} - x}{x ^{\frac{3}{2}}}, x < 0, x = 0, x > 0$ is continuous at x =…
Mathematics · Limits Continuity and Differentiability · MCQ
Q32.Let f(x) = ex – x and g(x) = x2 – x, $\forall$ x $\in$ R. Then the set of all x $\in$ R, where the function h(x) = (fog) (x) is increasing, is :
Mathematics · Functions · MCQ
Q33.If a1, a2, a3, ............... an are in A.P. and a1 + a4 + a7 + ........... + a16 = 114, then a1 + a6 + a11 + a16 is equal to :
Mathematics · Sequences and Series · MCQ
Q34.The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no digit is repeated is :
Mathematics · Permutations and Combinations · MCQ
Q35.If for some x $\in$ R, the frequency distribution of the marks obtained by 20 students in a test is : then the mean of the marks is Includes table
Mathematics · Statistics · MCQ
Q36.If the system of linear equations x + y + z = 5 x + 2y + 2z = 6 x + 3y + $λ$ z = $μ$ , ( $λ$ , $μ \in$ R), has infinitely many solutions, then the value of $λ$ + $μ$ is :
Mathematics · Matrices and Determinants · MCQ
Q37.Let A (3, 0, –1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the midpoint of AC. If G divides BM in the ratio, 2 : 1, then cos ( $∠$ GOA) (O being the origin) is equal to :
Mathematics · Vector Algebra · MCQ
Q38.If $\int \frac{d x}{( x ^{2} - 2 x + 10 ) ^{2}} = A (tan^{- 1} (\frac{x - 1}{3}) + \frac{f ( x )}{x ^{2} - 2 x + 10}) + C$ where C is a constant of integration then :
Mathematics · Indefinite Integrals · MCQ
Q39.Let f : R $\to$ R be differentiable at c $\in$ R and f(c) = 0. If g(x) = |f(x)| , then at x = c, g is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q40.The value of $0 \int 2 π [sin 2 x (1 + cos 3 x)] d x$ , where [t] denotes the greatest integer function is :
Mathematics · Definite Integration · MCQ
Q41.If a directrix of a hyperbola centred at the origin and passing through the point (4, –2 $3$ ) is 5x = 4 $5$ and its eccentricity is e, then :
Mathematics · Hyperbola · MCQ
Q42.If $x \to 1 lim \frac{x ^{4} - 1}{x - 1} = x \to k lim \frac{x ^{3} - k ^{3}}{x ^{2} - k ^{2}}$ , then k is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q43.Let f(x) = x2 , x $\in$ R. For any A $\subseteq$ R, define g (A) = { x $\in$ R : f(x) $\in$ A}. If S = [0,4], then which one of the following statements is not true ?
Mathematics · Functions · MCQ
Q44.A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicualr to the plane. Let rp, re and rHe be their respective radii, then
Physics · Magnetics · MCQ
Q45.The value of acceleration due to gravity at Earth's surface is 9.8 ms–2. The altitude above its surface at which the acceleration due to gravity decreases to 4.9 ms–2, is close to : (Radius of earth = 6.4 × 106 m)
Physics · Gravitation · MCQ
Q46.A moving coil galvanometer allows a full scale current of 10–4 A. A series resistance of 2 M $Ω$ is required to convert the above galvanometer into a voltmeter of range 0-5 V. Therefore the value of shunt resistance required to…
Physics · Current Electricity · MCQ
Q47.In a photoelectric effect experiment the threshold wavelength of the light is 380 nm. If the wavelentgh of incident light is 260 nm, the maximum kinetic energy of emitted electrons will be: Given E (in eV) = 1237/ $λ$ (in nm)
Physics · Dual Nature of Radiation · MCQ
Q48.A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2 kW. If the current in the secondary coil is 10A, then the input voltage and current in the primary coil are :
Physics · Alternating Current · MCQ
Q49.In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the figure, it is a straight line. One may conclude that : Includes diagram
Physics · Current Electricity · MCQ
Q50.A ray of light AO in vacuum is incident on a glass slab at angle 60° and refracted at angle 30° along OB as shown in the figure. The optical path length of light ray from A to B is: Includes diagram
Physics · Geometrical Optics · MCQ
Q51.A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is moving towards the ring along the z-axis and has speed u at z = 4a. The minimum value of u such that it crosses the…
Physics · Electrostatics · MCQ
Q52.Two wires A & B are carrying currents I1 & I2 as shown in the figure. The separation between them is d. A third wire C carrying a current I is to be kept parallel to them at a distance x from A such that the net force acting on it… Includes diagram
Physics · Magnetics · MCQ
Q53.A particle of mass m is moving along a trajectory given by x = x0 + a cos $ω$ 1t y = y0 + b sin $ω$ 2t The torque, acting on the particle about the origin, at t = 0 is :
Physics · Rotational Motion · MCQ
Q54.The electric field of a plane electromagnetic wave is given by $E = E_{0} i cos (k z) cos (ω t)$ The corresponding magnetic field $B$ is then given by
Physics · Electromagnetic Waves · MCQ
Q55.Two coaxial discs, having moments of inertia I1 and I1/2, are rotating with respective angular velocities $ω$ 1 and $ω$ 1/2 , about their common axis. They are brought in contact with each other and thereafter they rotate with a…
Physics · Rotational Motion · MCQ
Q56.A thin disc of mass M and radius R has mass per unit area $σ$ (r) = kr2 where r is the distance from its centre. Its moment of inertia about an axis going through its centre of mass and perpendicular to its plane is :
Physics · Rotational Motion · MCQ
Q57.A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise the temperature of the gas by 20°C is : [Given that R = 8.31 J mol–1 K–1]
Physics · Heat and Thermodynamics · MCQ
Q58.One plano-convex and one plano-concave lens of same radius of curvature 'R' but of different materials are joined side by side as shown in the figure. If the refractive index of the material of 1 is $μ$ 1 and that of 2 is $μ$ 2, then… Includes diagram
Physics · Geometrical Optics · MCQ
Q59.A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by a drag force equal to m $γ$ u2 (where m is mass of the ball, u is its instantaneous velocity and $γ$ is a…
Physics · Laws of Motion · MCQ
Q60.In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure Which of the readings is inconsistent? Includes table Includes diagram
Physics · Current Electricity · MCQ
Q61.A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10–8 $Ω$ m) of radius of cross-section 5 mm. Find the mobility of the charges if their drift velocity is 1.1 × 10–3 m/s.
Physics · Current Electricity · MCQ
Q62.Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capacitances are : Includes diagram
Physics · Capacitor · MCQ
Q63.Two particles, of masses M and 2M, moving, as shown, with speeds of 10 m/s and 5 m/s, collide elastically at the origin. After the collision, they move along the indicated directions with speeds u1 and u2, respectively. The values of u1… Includes diagram
Physics · Center of Mass · MCQ
Q64.The ratio of surface tensions of mercury and water is given to be 7.5 while the ratio of thier densities is 13.6. Their contact angles, with glass, are close to 135° and 0°, respectively. It is observed that mercury gets depressed by an…
Physics · Properties of Matter · MCQ
Q65.A 25 × 10–3 m3 volume cylinder is filled with 1 mol of O2 gas at room temperature (300K). The molecular diameter of O2, and its root mean square speed, are found to be 0.3 nm, and 200 m/s, respectively. What is the average collision rate…
Physics · Heat and Thermodynamics · MCQ
Q66.In the given circuit, an ideal voltmeter connected across the 10 $Ω$ resistance reads 2V. The internal resistance r, of each cell is: Includes diagram
Physics · Current Electricity · MCQ
Q67.n moles of an ideal gas with constant volume heat capcity CV undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is :
Physics · Heat and Thermodynamics · MCQ