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2019 · 12 Apr · Shift 1

71 questions · JEE Main

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2019 · 12 Apr · Shift 1

2019 · 12 Apr · Shift 1

71 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics27 questions

Redox ReactionsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ElectrochemistryChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Structure of AtomChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions HydrocarbonsChemistry · 2 questions ThermodynamicsChemistry · 2 questions Practical Organic ChemistryChemistry · 1 questions BiomoleculesChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions DifferentiationMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Complex NumbersMathematics · 1 questions Definite IntegrationMathematics · 2 questions FunctionsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions ProbabilityMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Application of DerivativesMathematics · 2 questions Vector AlgebraMathematics · 1 questions StatisticsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions CircleMathematics · 1 questions Rotational MotionPhysics · 3 questions Heat and ThermodynamicsPhysics · 4 questions Geometrical OpticsPhysics · 1 questions Current ElectricityPhysics · 3 questions Electromagnetic WavesPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Electronic DevicesPhysics · 1 questions ElectrostaticsPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Motion in A PlanePhysics · 2 questions Wave OpticsPhysics · 2 questions CapacitorPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions MagneticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions WavesPhysics · 1 questions Center of MassPhysics · 1 questions

Q1.An example of a disproportionation reaction is :
Chemistry · Redox Reactions · MCQ
Q2.The correct statement among the following is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.Given $C O_{3}^{+}$ + e– $\to$ $C O^{2 +}$ ; Eo = + 1.81 V $P b^{4 +}$ + 2e– $\to$ $P b^{2 +}$ ; Eo = + 1.67 V $C e^{4 +}$ + e– $\to$ $C e^{3 +}$ ; Eo = + 1.61 V $B i^{3 +}$ + 3e– $\to$ $B i$ ; Eo = + 0.20 V Oxidizing power of the species will increase in…
Chemistry · Electrochemistry · MCQ
Q4.Complete removal of both the axial ligands (along the z-axis) from an octahedral complex leads to which of the following splitting patterns? (relative orbital energies not on scale).
Chemistry · Coordination Compounds · MCQ
Q5.5 moles of $A B_{2}$ weigh 125 × 10–3 kg and 10 moles of $A_{2} B_{2}$ weigh 300 × 10–3 kg. The molar mass of A (MA) and molar mass of B (MB) in kg mol are:
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q6.The increasing order of the pKb of the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q7.The group number, number of valence electrons, and valency of an element with atomic number 15, respectively, are:
Chemistry · Structure of Atom · MCQ
Q8.The complex ion that will lose its crystal field stabilization energy upon oxidation of its metal to +3 state is : Includes diagram
Chemistry · Coordination Compounds · MCQ
Q9.The major product(s) obtained in the following reaction is/are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.In the following reaction; xA $\to$ yB $lo g_{10} [- \frac{d [ A ]}{d t}] = lo g_{10} [\frac{d [ B ]}{d t}] + 0.3010$ 'A' and 'B' respectively can be :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q11.The major product of the following addition reaction is : $H_{3} C$ – $C H$ = $C H_{2}$ $C l_{2} / H_{2} O$
Chemistry · Hydrocarbons · MCQ
Q12.An ideal gas is allowed to expand form 1 L to 10 L against a constant external pressure of I bar. The work done in kJ is :
Chemistry · Thermodynamics · MCQ
Q13.But-2-ene on reaction with alkaline $K M n O_{4}$ at elevated temperature followed by acidification will give :
Chemistry · Hydrocarbons · MCQ
Q14.The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in mol kg–1 ) of the aqueous solution is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q15.The electrons are more likely to be found : Includes diagram
Chemistry · Structure of Atom · MCQ
Q16.An organic compound 'A' is oxidizod with $N a_{2} O_{2}$ followed by boiling with $H N O_{3}$ . The resultant solution is then treated with ammonium molybdate to yield a yellow precipitate. Based on above observation, the element present in the given…
Chemistry · Practical Organic Chemistry · MCQ
Q17.Enthalpy of sublimation of iodine is 24 cal g–1 at 200 oC. If specific heat of $I_{2}$ (s) and l2 (vap) are 0.055 and 0.031 cal g–1K –1 respectively, then enthalpy of sublimation of iodine at 250 oC in cal g–1 is :
Chemistry · Thermodynamics · MCQ
Q18.Which of the following statements is not true about RNA?
Chemistry · Biomolecules · MCQ
Q19.The major products of the following reaction are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q20.What is the molar solubility of $A l (O H)_{3}$ in 0.2 M $N a O H$ solution ? Given that, solubility product of $A l (O H)_{3}$ = 2.4 × 10–24 :
Chemistry · Ionic Equilibrium · MCQ
Q21.Glucose and Galactose are having identical configuration in all the positions except position
Chemistry · Biomolecules · MCQ
Q22.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q23.If ey + xy = e, the ordered pair $(\frac{d y}{d x}, \frac{d ^{2} y}{d x ^{2}})$ at x = 0 is equal to :
Mathematics · Differentiation · MCQ
Q24.If $α$ and $β$ are the roots of the equation 375x2 – 25x – 2 = 0, then $n \to \infty lim r = 1 \sum n α^{r} + n \to \infty lim r = 1 \sum n β^{r}$ is…
Mathematics · Limits Continuity and Differentiability · MCQ
Q25.The equation |z – i| = |z – 1|, i = $- 1$ , represents :
Mathematics · Complex Numbers · MCQ
Q26.If $0 \int π /2 \frac{cot x}{cot x + csc x} d x = m (π + n)$ , then $m \cdot n$ is equal to
Mathematics · Definite Integration · MCQ
Q27.For x $\in$ (0, 3/2), let f(x) = $x$ , g(x) = tan x and h(x) = $\frac{1 - x ^{2}}{1 + x ^{2}}$ . If $ϕ$ (x) = ((hof)og)(x), then $ϕ (\frac{π}{3})$ is equal to :
Mathematics · Functions · MCQ
Q28.The integral $\int \frac{2 x ^{3} - 1}{x ^{4} + x} d x$ is equal to : (Here C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q29.The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct, is :
Mathematics · Permutations and Combinations · MCQ
Q30.If $B = 50 α 2 α 23 11 - 1$ is the inverse of a 3 × 3 matrix A, then the sum of all values of $α$ for which det(A) + 1 = 0,…
Mathematics · Matrices and Determinants · MCQ
Q31.If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is :
Mathematics · Probability · MCQ
Q32.The value of $sin^{- 1} (\frac{12}{13}) - sin^{- 1} (\frac{3}{5})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q33.Let f : R $\to$ R be a continuously differentiable function such that f(2) = 6 and f'(2) = $\frac{1}{48}$ . If $6 \int f (x) 4 t^{3} d t$ = (x - 2)g(x), then $x \to 2 lim g (x)$ is…
Mathematics · Definite Integration · MCQ
Q34.Let Sn denote the sum of the first n terms of an A.P. If S4 = 16 and S6= – 48, then S10 is equal to :
Mathematics · Sequences and Series · MCQ
Q35.The equation y = sinx sin (x + 2) – sin2 (x + 1) represents a straight line lying in :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q36.A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/sec, then the rate (in cm/sec.) at which the bottom of the ladder slides away from the wall on the horizontal ground when…
Mathematics · Application of Derivatives · MCQ
Q37.Let $a = 3 i + 2 j + 2 k$ and $b = i + 2 j - 2 k$ be two vectors. If a vector perpendicular to both the vectors $a + b$ …
Mathematics · Vector Algebra · MCQ
Q38.If the data x1, x2,......., x10 is such that the mean of first four of these is 11, the mean of the remaining six is 16 and the sum of squares of all of these is 2,000 ; then the standard deviation of this data is :
Mathematics · Statistics · MCQ
Q39.If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = $[25 3 - 1]$ , then AB is equal to :
Mathematics · Matrices and Determinants · MCQ
Q40.If the area (in sq. units) of the region {(x, y) : y2 $\leq$ 4x, x + y $\leq$ 1, x $\geq$ 0, y $\geq$ 0} is a $2$ + b, then a – b is equal to :
Mathematics · Area Under the Curves · MCQ
Q41.Consider the differential equation, $y^{2} d x + (x - \frac{1}{y}) d y = 0$ , If value of y is 1 when x = 1, then the value of x for which y = 2, is :
Mathematics · Differential Equations · MCQ
Q42.The coefficient of x18 in the product (1 + x) (1 – x)10 (1 + x + x2)9 is :
Mathematics · Binomial Theorem · MCQ
Q43.If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then the length (in cm) of their common chord is :
Mathematics · Circle · MCQ
Q44.If m is the minimum value of k for which the function f(x) = x $k x - x^{2}$ is increasing in the interval [0,3] and M is the maximum value of f in [0, 3] when k = m, then the ordered pair (m, M) is equal to :
Mathematics · Application of Derivatives · MCQ
Q45.A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude $θ$ 0. If the person stands up when the swing passes through its lowest point, the work done by him, assuming that his center of mass moves…
Physics · Rotational Motion · MCQ
Q46.Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific heat of mixture at constant volume ? (R = 8.3 J/mol K)
Physics · Heat and Thermodynamics · MCQ
Q47.A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5 cm (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is… Includes diagram
Physics · Geometrical Optics · MCQ
Q48.To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained : If V0 is almost zero, identify the… Includes diagram
Physics · Current Electricity · MCQ
Q49.An electromagnetic wave is represented by the electric field $E = E_{0} n sin [ω t + (6 y - 8 z)]$ . Taking unit vectors in x, y and z directions to be $i, j, k$ …
Physics · Electromagnetic Waves · MCQ
Q50.At 40o C, a brass wire of 1 mm radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from 40oC to 20oC it regains its original length of 0.2 m. The value of M is close to :…
Physics · Heat and Thermodynamics · MCQ
Q51.A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the internal energy of the gas along the path ca is –180 J. The gas absorbs 250 J of heat along the path ab and 60 J along the path bc.… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q52.The figure shows a square loop L of side 5 cm which is connected to a network of resistances. The whole setup is moving towards right with a constant speed of 1 cm s-1. At some instant, a part of L is in a uniform magnetic field of 1 T,… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q53.The truth table for the circuit given in the fig. is: Includes diagram
Physics · Electronic Devices · MCQ
Q54.A galvanometer of resistance 100 $Ω$ has 50 divisions on its scale and has sensitivitv of 20 $μ$ A/division. It is to be converted to a voltmeter with three ranges of 0-2V, 0-10 V and 0-20 V. The appropriate circuit to do so is
Physics · Current Electricity · MCQ
Q55.A point dipole $p = - p_{0} x$ is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively: (Take V= 0 at infinity)
Physics · Electrostatics · MCQ
Q56.Which of the following combinations has the dimension of electrical resistance ( $\in$ 0 is the permittivity of vacuum and $μ$ 0 is the permeability of vacuum)?
Physics · Units and Measurements · MCQ
Q57.The trajectory of a projectile near the surface of the earth is given as y = 2x – 9x2 . If it were launched at an angle $θ$ 0 with speed v0 then (g = 10 ms–2) :
Physics · Motion in A Plane · MCQ
Q58.The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network is 4 Watt. The value of R is: Includes diagram
Physics · Current Electricity · MCQ
Q59.In a double slit experiment, when a thin film of thickness t having refractive index $μ$ . is introduced in front of one of the slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of t is…
Physics · Wave Optics · MCQ
Q60.Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The space between the plates of the two capacitors, is filled with three dielectrics, of equal thickness and dielectric… Includes diagram
Physics · Capacitor · MCQ
Q61.The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 $A o$ is used, the minimum separation between two points, to be seen as distinct, will be :
Physics · Wave Optics · MCQ
Q62.The stopping potential V0 (in volt) as a function of frequency ( $υ$ ) for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be: (Given: Planck’s constant (h) = 6.63 ×… Includes diagram
Physics · Dual Nature of Radiation · MCQ
Q63.A uniform rod of length $ℓ$ is being rotated in a horizontal plane with a constant angular speed about an axis passing through one of its ends. If the tension generated in the rod due to rotation is T(x) at a distance x from the axis,…
Physics · Rotational Motion · MCQ
Q64.A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40 $π$ rad s–1 about its axis, perpendicular to its plane. If the magnetic field at its centre is 3.8 × 10–9 T, then the…
Physics · Magnetics · MCQ
Q65.Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q. At its centre is a dipole $P$ as shown. In this case : Includes diagram
Physics · Electrostatics · MCQ
Q66.A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t1 and t2 are the values of the time taken by it to hit the target in two possible ways, the product…
Physics · Motion in A Plane · MCQ
Q67.A circular disc of radius b has a hole of radius a at its centre (see figure). If the mass per unit area of the disc varies as $(\frac{σ _{0}}{r})$ , then the radius of gyration of the disc about its axis passing… Includes diagram
Physics · Rotational Motion · MCQ
Q68.An excited He+ ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm, in making a transition to ground state. The quantum number n, corresponding to its initial excited state is (for photon of wavelength $λ$ ,…
Physics · Atoms and Nuclei · MCQ
Q69.A progressive wave travelling along the positive x-direction is represented by y(x,t) = Asin(kx – $ω$ t + $ϕ$ ). Its snapshot at t = 0 is given in the figure. For this wave, the phase $ϕ$ is : Includes diagram
Physics · Waves · MCQ
Q70.A man (mass = 50 kg) and his son (mass = 20 kg) are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a speed of 0.70 ms–1 with respect to the man. The speed of the man with respect to…
Physics · Center of Mass · MCQ
Q71.When M1 gram of ice at –10oC (specific heat = 0.5 cal g–1 oC–1 ) is added to M2 gram of water at 50C, finally no ice is left and the water is at 0°C. The value of latent heat of ice, in cal g–1 is :
Physics · Heat and Thermodynamics · MCQ