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2019 · 8 Apr · Shift 2

71 questions · JEE Main

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2019 · 8 Apr · Shift 2

2019 · 8 Apr · Shift 2

71 questions · JEE Main

Chemistry24 questions Mathematics21 questions Physics26 questions

SolutionsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Structure of AtomChemistry · 1 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 4 questions Basics of Organic ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 3 questions Coordination CompoundsChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Vector AlgebraMathematics · 1 questions EllipseMathematics · 1 questions Complex NumbersMathematics · 1 questions Definite IntegrationMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions 3D GeometryMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Binomial TheoremMathematics · 1 questions DifferentiationMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions FunctionsMathematics · 1 questions StatisticsMathematics · 1 questions ProbabilityMathematics · 1 questions Application of DerivativesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Current ElectricityPhysics · 2 questions Rotational MotionPhysics · 3 questions Motion in A Straight LinePhysics · 1 questions MagneticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Units and MeasurementsPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Vector AlgebraPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Center of MassPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 1 questions ElectrostaticsPhysics · 2 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Wave OpticsPhysics · 1 questions

Q1.For the solution of the gases w, x, y and z in water at 298K, the Henrys law constants (KH) are 0.5, 2, 35 and 40 kbar, respectively. The correct plot for the given data is :-
Chemistry · Solutions · MCQ
Q2.Polysubstitution is a major drawback in:
Chemistry · Hydrocarbons · MCQ
Q3.If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength $λ$ , then for 1.5 p momentum of the photoelectron, the wavelength of the light should be: (Assume kinetic…
Chemistry · Structure of Atom · MCQ
Q4.Fructose and glucose can be distinguished by :
Chemistry · Biomolecules · MCQ
Q5.The major product obtained in the following reaction is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.The correct statement about $I C l_{5}$ and $I C l_{4}^{-}$ is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q7.Which of the following compounds will show the maximum 'enol' content?
Chemistry · Basics of Organic Chemistry · MCQ
Q8.5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If CV = 28 JK–1mol–1, calculate $Δ$ U and $Δ$ pV for this process. (R = 8.0 JK–1 mol–1]
Chemistry · Thermodynamics · MCQ
Q9.The major product obtained in the following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.The statement that is INCORRECT about the interstitial compounds is :
Chemistry · D and F Block Elements · MCQ
Q11.For a reaction scheme $A k_{1} B k_{2} C$ , if the rate of formation of B is set to be zero then the concentration of B is given by :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q12.The major product of the following reaction is: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.Among the following molecules / ions, $C_{2}^{2 -}, N_{2}^{2 -}, O_{2}^{2 -}, O_{2}$ which one is diamagnetic and has the shortest bond length?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q14.The calculated spin-only magnetic moments (BM) of the anionic and cationic species of [Fe(H2O)6]2 and $[F e (C N)_{6}]$ , respectively, are :
Chemistry · Coordination Compounds · MCQ
Q15.Which one of the following alkenes when treated with HCl yields majorly an anti Markovnikov product?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q16.The covalent alkaline earth metal halide (X = Cl, Br, I) is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q17.The compound that inhibits the growth of tumors is :
Chemistry · Coordination Compounds · MCQ
Q18.The IUPAC symbol for the element with atomic number 119 would be :
Chemistry · Periodic Table and Periodicity · MCQ
Q19.The percentage composition of carbon by mole in methane is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q20.The major product of the following reaction is: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q21.The ion that has sp3d2 hybridization for the central atom, is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q22.For the following reactions, equilibrium constants are given : $S$ (s) + $O_{2}$ (g) ⇋ $S O_{2}$ (g); K1 = 1052 2 $S$ (s) + 3 $O_{2}$ (g) ⇋ 2 $S O_{3}$ (g); K2 = 10129 The equilibrium constant for the reaction, 2 $S O_{2}$ (g) + $O_{2}$ (g) ⇋ 2 $S O_{3}$ (g) is :
Chemistry · Chemical Equilibrium · MCQ
Q23.The major product in the following reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q24.Calculate the standard cell potential in (V) of the cell in which following reaction takes place : $F e^{2 +}$ (aq) + $A g^{+}$ (aq) $\to$ $F e^{3 +}$ (aq) + $A g$ (s) Given that $E_{A g^{+} / A g}^{o} = x V E_{F e^{2 +} / F e}^{o} = y V E_{F e^{3 +} / F e}^{o} = z V$
Chemistry · Electrochemistry · MCQ
Q25.Let $a \to = 3 i \land + 2 j \land + x k \land$ and $b \to = i \land - j \land + k \land$ , for some real…
Mathematics · Vector Algebra · MCQ
Q26.In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5 $3$ ), then the length of its latus rectum is :
Mathematics · Ellipse · MCQ
Q27.If $z = \frac{3}{2} + \frac{i}{2} (i = - 1)$ , then (1 + iz + z5 + iz8)9 is equal to :
Mathematics · Complex Numbers · MCQ
Q28.Let $f (x) = 0 \int x g (t) d t$ where g is a non-zero even function. If ƒ(x + 5) = g(x), then $0 \int x f (t) d t$ equals-
Mathematics · Definite Integration · MCQ
Q29.If three distinct numbers a, b, c are in G.P. and the equations ax2 + 2bx + c = 0 and dx2 + 2ex + ƒ = 0 have a common root, then which one of the following statements is correct?
Mathematics · Sequences and Series · MCQ
Q30.The number of integral values of m for which the equation (1 + m2 )x2 – 2(1 + 3m)x + (1 + 8m) = 0 has no real root is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q31.If a point R(4, y, z) lies on the line segment joining the points P(2, –3, 4) and Q(8, 0, 10), then the distance of R from the origin is :
Mathematics · 3D Geometry · MCQ
Q32.Let the number 2,b,c be in an A.P. and A = $124 1 b b^{2} 1 c c^{2}$ . If det(A) $\in$ [2, 16], then c lies in the interval :
Mathematics · Matrices and Determinants · MCQ
Q33.Let ƒ : R $\to$ R be a differentiable function satisfying ƒ'(3) + ƒ'(2) = 0. Then $x \to 0 lim (\frac{1 + f ( 3 + x ) - f ( 3 )}{1 + f ( 2 - x ) - f ( 2 )})^{\frac{1}{x}}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.If the fourth term in the binomial expansion of $(x^{(\frac{1}{1 + l o g _{10} x})} + x^{\frac{1}{12}})^{6}$ is equal to 200, and x > 1, then the value of x is :
Mathematics · Binomial Theorem · MCQ
Q35.If ƒ(1) = 1, ƒ'(1) = 3, then the derivative of ƒ(ƒ(ƒ(x))) + (ƒ(x))2 at x = 1 is :
Mathematics · Differentiation · MCQ
Q36.Let S( $α$ ) = {(x, y) : y2 $\leq$ x, 0 $\leq$ x $\leq α$ } and A( $α$ ) is area of the region S( $α$ ). If for a $λ$ , 0 < $λ$ < 4, A( $λ$ ) : A(4) = 2 : 5, then $λ$ equals
Mathematics · Area Under the Curves · MCQ
Q37.If the system of linear equations x – 2y + kz = 1 2x + y + z = 2 3x – y – kz = 3 has a solution (x,y,z), z $e$ 0, then (x,y) lies on the straight line whose equation is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q38.Let ƒ(x) = ax (a > 0) be written as ƒ(x) = ƒ1 (x) + ƒ2 (x), where ƒ1 (x) is an even function of ƒ2 (x) is an odd function. Then ƒ1 (x + y) + ƒ1 (x – y) equals
Mathematics · Functions · MCQ
Q39.A student scores the following marks in five tests : 45, 54, 41, 57, 43. His score is not known for the sixth test. If the mean score is 48 in the six tests, then the standard deviation of the marks in six tests is
Mathematics · Statistics · MCQ
Q40.The minimum number of times one has to toss a fair coin so that the probability of observing at least one head is at least 90% is :
Mathematics · Probability · MCQ
Q41.The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is
Mathematics · Application of Derivatives · MCQ
Q42.The number of four-digit numbers strictly greater than 4321 that can be formed using the digits 0,1,2,3,4,5 (repetition of digits is allowed) is :
Mathematics · Permutations and Combinations · MCQ
Q43.Let ƒ : [–1,3] $\to$ R be defined as $f (x) = ⎩ ⎨ ⎧ ∣ x ∣ + [x] x + ∣ x ∣ x + [x],,, - 1 \leq x < 1 1 \leq x < 2 2 \leq x \leq 3$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q44.Suppose that the points (h,k), (1,2) and (–3,4) lie on the line L1 . If a line L2 passing through the points (h,k) and (4,3) is perpendicular to L1 , then $\frac{k}{h}$ equals :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q45.If $\int \frac{d x}{x ^{3} ( 1 + x ^{6} ) ^{2/3}} = x f (x) (1 + x^{6})^{\frac{1}{3}} + C$ where C is a constant of integration, then the function ƒ(x) is equal to
Mathematics · Indefinite Integrals · MCQ
Q46.A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external resistance will be maximum when :-
Physics · Current Electricity · MCQ
Q47.An electric dipole is formed by two equal and opposite charges q with separation d. The charges have same mass m. It is kept in a uniform electric field E. If it is slightly rotated from its equilibrium orientation, then its angular…
Physics · Rotational Motion · MCQ
Q48.A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time) Includes diagram
Physics · Motion in A Straight Line · MCQ
Q49.Two very long, straight, and insulated wires are kept at 90° angle from each other in xy-plane as shown in the figure. These wires carry currents of equal magnitude I, whose directions are shown in the figure. The net magnetic field at… Includes diagram
Physics · Magnetics · MCQ
Q50.A circuit connected to an ac source of emf e = e0sin(100t) with t in seconds, gives a phase difference of $π$ /4 between the emf e and current i. Which of the following circuits will exhibit this ?
Physics · Alternating Current · MCQ
Q51.The magnetic field of an electromagnetic wave is given by :- $B \to = 1.6 \times 1 0^{- 6} cos (2 \times 10^{7} z + 6 \times 10^{15} t) (2 i \land + j \land) \frac{W b}{m ^{2}}$ …
Physics · Electromagnetic Waves · MCQ
Q52.In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of…
Physics · Units and Measurements · MCQ
Q53.Two magnetic dipoles X and Y are placed at a separation d, with their axes perpendicular to each other. The dipole moment of Y is twice that of X. A particle of charge q is passing, through their midpoint P, at angle q = 45° with the… Includes diagram
Physics · Magnetic Properties of Matter · MCQ
Q54.Let $A_{1} \to = 3$ , $A_{2} \to = 5$ and $A_{1} \to + A_{2} \to = 5$ . The value of $(2 A_{1} \to + 3 A_{2} \to) (3 A_{1} \to - 2 A_{2} \to)$ …
Physics · Vector Algebra · MCQ
Q55.A nucleus A, with a finite de-broglie wavelength $λ$ A, undergoes spontaneous fission into two nuclei B and C of equal mass. B flies in the same direction as that of A, while C flies in the opposite direction with a velocity equal to…
Physics · Dual Nature of Radiation · MCQ
Q56.A body of mass m1 moving with an unknown velocity of $v_{1} i \land$ , undergoes a collinear collision with a body of mass m2 moving with a velocity $v_{2} i \land$ . After collision, m1 and m2 move with…
Physics · Center of Mass · MCQ
Q57.In the figure shown, what is the current (in Ampere) drawn from the battery ? You are given: R1 = 15 $Ω$ , R2 = 10 $Ω$ , R3 = 20 $Ω$ , R4 = 5 $Ω$ , R5 = 25 $Ω$ , R6 = 30 $Ω$ , E = 15 V Includes diagram
Physics · Current Electricity · MCQ
Q58.If surface tension (S), Moment of inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be :-
Physics · Units and Measurements · MCQ
Q59.A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines, are kept 80 cm apart from each other. The concave mirror is to the right of the convex lens. When an object is kept at a distance…
Physics · Geometrical Optics · MCQ
Q60.A rectangular solid box of length 0.3 m is held horizontally, with one of its sides on the edge of a platform of height 5m. When released, it slips off the table in a very short time t = 0.01s, remaining essentially horizontal. The angle… Includes diagram
Physics · Rotational Motion · MCQ
Q61.The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to : [Boltzmann Constant kB = 1.38 × 10–23 J/K Avogadro Number NA = 6.02 × 1026 /kg Radius of Earth : 6.4…
Physics · Heat and Thermodynamics · MCQ
Q62.A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut-off, the coordinates of the centre of mass of the remaining portion will be :- Includes diagram
Physics · Center of Mass · MCQ
Q63.A parallel plate capacitor has 1μF capacitance. One of its two plates is given +2μC charge and the other plate, +4μC charge. The potential difference developed across the capacitor is:-
Physics · Capacitor · MCQ
Q64.The electric field in a region is given by $E \to = (A x + B) i \land$ , where E is in NC–1 and x is in metres. The values of constants are A = 20 SI unit and B = 10 SI unit. If the potential…
Physics · Electrostatics · MCQ
Q65.A positive point charge is released from rest at a distance r0 from a positive line charge with uniform density. The speed (v) of the point charge, as a function of instantaneous distance r from line charge, is proportional to :- Includes diagram
Physics · Electrostatics · MCQ
Q66.The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the same order is given by :- Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q67.A rocket has to be launched from earth in such a way that it never returns. If E is the minimum energy delivered by the rocket launcher, what should be the minimum energy that the launcher should have if the same rocket is to be launched…
Physics · Gravitation · MCQ
Q68.A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights hsph and hcyl on the incline. The ratio hsph/hcyl… Includes diagram
Physics · Rotational Motion · MCQ
Q69.Young's moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is close to :-
Physics · Properties of Matter · MCQ
Q70.The ratio of mass densities of nuclei of 40Ca and 16O is close to :-
Physics · Atoms and Nuclei · MCQ
Q71.Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star :-
Physics · Wave Optics · MCQ