New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2019 · 8 Apr · Shift 1

73 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2019 · 8 Apr · Shift 1

2019 · 8 Apr · Shift 1

73 questions · JEE Main

Chemistry22 questions Mathematics23 questions Physics28 questions

Practical Organic ChemistryChemistry · 2 questions Coordination CompoundsChemistry · 2 questions BiomoleculesChemistry · 1 questions ElectrochemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Basics of Organic ChemistryChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions ThermodynamicsChemistry · 2 questions Compounds Containing NitrogenChemistry · 2 questions Structure of AtomChemistry · 1 questions Redox ReactionsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions ProbabilityMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions FunctionsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Application of DerivativesMathematics · 2 questions Definite IntegrationMathematics · 1 questions StatisticsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions 3D GeometryMathematics · 1 questions Complex NumbersMathematics · 1 questions Differential EquationsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions DifferentiationMathematics · 1 questions CircleMathematics · 1 questions Alternating CurrentPhysics · 1 questions Center of MassPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Wave OpticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 1 questions ElectrostaticsPhysics · 2 questions Geometrical OpticsPhysics · 2 questions WavesPhysics · 1 questions Properties of MatterPhysics · 3 questions Current ElectricityPhysics · 1 questions Motion in A PlanePhysics · 1 questions Rotational MotionPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions MagneticsPhysics · 2 questions Electronic DevicesPhysics · 1 questions CapacitorPhysics · 1 questions

Q1.An organic compound neither reacts with neutral ferric chloride solution nor with fehling solution. it however, reacts with Grignard reagent and gives positive iodoform test. The compound is :
Chemistry · Practical Organic Chemistry · MCQ
Q2.The following ligand is : Includes diagram
Chemistry · Coordination Compounds · MCQ
Q3.Maltose on treatment with dilute HCI gives :
Chemistry · Biomolecules · MCQ
Q4.An organic compound 'X' showing the following solubility profile is : Includes diagram
Chemistry · Practical Organic Chemistry · MCQ
Q5.Given that $E^{Θ}_{O_{2} / H_{2} O} = 1.23 V$ ; $E^{Θ}_{S_{2} O_{8}^{2 -} / S O_{4}^{2 -}} = 2.05 V$ $E^{Θ}_{B r_{2} / B r^{-}} = 1.09 V E^{Θ}_{A u^{3 +} / A u} = 1.4 V$ The strongest oxidizing agent is :
Chemistry · Electrochemistry · MCQ
Q6.The size of the iso-electronic species $C l^{-}$ , Ar and $C a^{2 +}$ is affected by :
Chemistry · Periodic Table and Periodicity · MCQ
Q7.The IUPAC name of the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q8.In the following compounds, the decreasing order of basic strength will be :
Chemistry · Basics of Organic Chemistry · MCQ
Q9.The major product of the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non-expansion work is zero)
Chemistry · Thermodynamics · MCQ
Q11.Which of the following amines can be prepared by Gabriel phthalimide reaction ?
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.The quantum number of four electrons are given below : n = 4, l = 2, ml =–2, ms = –1/2 n = 3, l = 2, ml = 1, ms = +1/2 n = 4, l = 1, ml = 0, ms = +1/2 n = 3, l = 1, ml = 1, ms = –1/2 The correct order of their increasing enegies will be :
Chemistry · Structure of Atom · MCQ
Q13.In order to oxidise a mixture of one mole of each of $F e C_{2} O_{4}$ , $F e_{2} (C_{2} O_{4})_{3}$ , $F e S O_{4}$ and $F e_{2} (S O_{4})_{3}$ in acidic medium, the number of moles of $K M n O_{4}$ required is :
Chemistry · Redox Reactions · MCQ
Q14.The lathanide ion that would show colour is :
Chemistry · Periodic Table and Periodicity · MCQ
Q15.The correct order of the spin-only magnetic moment of metal ions in the following low-spin complexes, $[V (C N)_{6}]^{4 -}$ , $[F e (C N)_{6}]^{4 -}$ , $[R u (N H_{3})_{6}]^{3 +}$ , and $[C r (N H_{3})_{6}]^{2 +}$ , is :
Chemistry · Coordination Compounds · MCQ
Q16.Coupling of benzene diazonium chloride with 1 - naphthol in alkaline medium will give :
Chemistry · Compounds Containing Nitrogen · MCQ
Q17.The major product of the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q18.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q19.If solublity product of $Z r_{3} (P O_{4})_{4}$ is denoted by Ksp and its molar solubility is denoted by S, then which of the following relation between S and Ksp is correct ?
Chemistry · Ionic Equilibrium · MCQ
Q20.For the reaction 2A + B $\to$ C, the values of initial rate at diffrent reactant concentrations are given in the table below. The rate law for the reaction is : Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q21.The vapour pressures of pure liquids A and B are 400 and 600 mmHg, respectively at 298 K on mixing the two liquids, the sum of their initial volume is equal ot the volume of the final mixture. The mole fraction of liquid B is 0.5 in the…
Chemistry · Solutions · MCQ
Q22.For silver, Cp(J K–1 mol–1) = 23 +0.01 T. If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1 atm pressure, the value of $Δ H$ will be close to :
Chemistry · Thermodynamics · MCQ
Q23.If $α = cos^{- 1} (\frac{3}{5})$ , $β = tan^{- 1} (\frac{1}{3})$ where $0 < α, β < \frac{π}{2}$ , then $α$ - $β$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q24.The area (in sq. units) of the region A = { (x, y) $\in$ R × R| 0 $\leq$ x $\leq$ 3, 0 $\leq$ y $\leq$ 4, y $\leq$ x2 + 3x} is :
Mathematics · Area Under the Curves · MCQ
Q25.The sum of the solutions of the equation $∣ x - 2 ∣ + x (x - 4) + 2 = 0$ (x > 0) is equal to:
Mathematics · Quadratic Equation and Inequalities · MCQ
Q26.Let A and B be two non-null events such that A $\subset$ B . Then, which of the following statements is always correct?
Mathematics · Probability · MCQ
Q27.The sum of all natural numbers 'n' such that 100 < n < 200 and H.C.F. (91, n) > 1 is :
Mathematics · Sequences and Series · MCQ
Q28.Let $A = (cos α sin α - sin α cos α)$ , ( $α \in$ R) such that $A^{32} = (01 - 1 0)$ …
Mathematics · Matrices and Determinants · MCQ
Q29.If $f (x) = lo g_{e} (\frac{1 - x}{1 + x})$ , $∣ x ∣ < 1$ then $f (\frac{2 x}{1 + x ^{2}})$ is equal to
Mathematics · Functions · MCQ
Q30.Let O(0, 0) and A(0, 1) be two fixed points. Then the locus of a point P such that the perimeter of $Δ$ AOP is 4, is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.If S1 and S2 are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x4 + 12x3 – 36x2 + 25, x $\in$ R, then :
Mathematics · Application of Derivatives · MCQ
Q32.If $f (x) = \frac{2 - x c o s x}{2 + x c o s x}$ and g(x) = logex, (x > 0) then the value of integral $- \frac{π}{4} \int \frac{π}{4} g (f (x)) d x$ is
Mathematics · Definite Integration · MCQ
Q33.The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, then the product of the remaining two observations is :
Mathematics · Statistics · MCQ
Q34. $x \to 0 lim \frac{s i n ^{2} x}{2 - 1 + c o s x}$ equals:
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.The length of the perpendicular from the point (2, –1, 4) on the straight line, $\frac{x + 3}{10}$ = $\frac{y - 2}{- 7}$ = $\frac{z}{1}$ is :
Mathematics · 3D Geometry · MCQ
Q36.A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate axes will lie only in :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q37.If $α$ and $β$ be the roots of the equation x2 – 2x + 2 = 0, then the least value of n for which $(\frac{α}{β})^{n} = 1$ is :
Mathematics · Complex Numbers · MCQ
Q38.Let y = y(x) be the solution of the differential equation, $(x^{2} + 1)^{2} \frac{d y}{d x} + 2 x (x^{2} + 1) y = 1$ such that y(0) = 0. If $a y (1)$ = $\frac{π}{32}$ , then the value of 'a' is :
Mathematics · Differential Equations · MCQ
Q39.The greatest value of c $\in$ R for which the system of linear equations x – cy – cz = 0 cx – y + cz = 0 cx + cy – z = 0 has a non-trivial solution, is :
Mathematics · Matrices and Determinants · MCQ
Q40.If cos( $α$ + $β$ ) = 3/5 ,sin ( $α$ - $β$ ) = 5/13 and 0 < $\frac{π}{4}$ < $\frac{π}{4}$ , then tan(2 $α$ ) is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q41. $\int \frac{s i n \frac{5 x}{2}}{s i n \frac{x}{2}} d x$ is equal to (where c is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q42.All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is :
Mathematics · Permutations and Combinations · MCQ
Q43.If $2 y = (cot^{- 1} (\frac{3 c o s x + s i n x}{c o s x - 3 s i n x}))^{2}$ , x $\in$ $(0, \frac{π}{2})$ then $\frac{d y}{d x}$ is equal to:
Mathematics · Differentiation · MCQ
Q44.The sum of the squares of the lengths of the chords intercepted on the circle, x2 + y2 = 16, by the lines, x + y = n, n $\in$ N, where N is the set of all natural numbers, is :
Mathematics · Circle · MCQ
Q45.Let ƒ : [0, 2] $\to$ R be a twice differentiable function such that ƒ''(x) > 0, for all x $\in$ (0, 2). If $ϕ$ (x) = ƒ(x) + ƒ(2 – x), then $ϕ$ is :
Mathematics · Application of Derivatives · MCQ
Q46.An alternating voltage v(t) = 220 sin 100 $π$ t volt is applied to a purely resistance load of 50 $Ω$ . The time taken for the current to rise from half of the peak value to the peak value is :
Physics · Alternating Current · MCQ
Q47.If 1022 gas molecules each of mass 10–26 kg collide with a surface (perpendicular to it) elastically per second over an area 1 m2 with a speed 104 m/s, the pressure exerted by the gas molecules will be of the order of :
Physics · Center of Mass · MCQ
Q48.Two particles move at right angle to each other. Their de-Broglie wavelengths are $λ_{1}$ and $λ_{2}$ respectively. The particles suffer perfectly inelastic collision. The de-Broglie wavelength $λ_{2}$ of the final particle,…
Physics · Dual Nature of Radiation · MCQ
Q49.In an interference experiment the ratio of amplitudes of coherent waves is $\frac{a _{1}}{a _{2}} = \frac{1}{3}$ . The ratio of maximum and minimum intensities of fringes will be :
Physics · Wave Optics · MCQ
Q50.A thermally insulated vessel contains 150g of water at 0°C. Then the air from the vessel is pumped out adiabatically. A fraction of water turns into ice and the rest evaporates at 0°C itself. The mass of evaporated water will be closest to…
Physics · Heat and Thermodynamics · MCQ
Q51.Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on He+ ions in n = 1 and n = 2 states. The possible transition of helium ions as they absorb energy from the radiation is :
Physics · Atoms and Nuclei · MCQ
Q52.In SI units, the dimensions of $\frac{\in _{0}}{μ _{0}}$ is :
Physics · Units and Measurements · MCQ
Q53.A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled 3m is : Includes diagram
Physics · Work Power and Energy · MCQ
Q54.A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a particular point of space and time is E = 6 V m–1 along y-direction. Its corresponding magnetic field component, B…
Physics · Electromagnetic Waves · MCQ
Q55.Four identical particles of mass M are located at the corners of a square of side 'a'. What should be their speed if each of them revolves under the influence of other's gravitational field in a circular orbit circumscribing the square? Includes diagram
Physics · Gravitation · MCQ
Q56.A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If…
Physics · Electrostatics · MCQ
Q57.In figure, the optical fiber is $l$ = 2m long and has a diameter of d = 20 μm. If a ray of light is incident on one end of the fiber at angle $θ_{1}$ = 40°, the number of reflection it makes before emerging from the other end is close… Includes diagram
Physics · Geometrical Optics · MCQ
Q58.A wire of length 2L, is made by joining two wires A and B of same length but different radii r and 2r and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of… Includes diagram
Physics · Waves · MCQ
Q59.A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1 p ms–2, what will be the tensile stress that would be developed in the wire ?
Physics · Properties of Matter · MCQ
Q60.For the circuit shown, with R1 = 1.0W, R2 = 2.0 W, E1 = 2 V and E2 = E3 = 4 V, the potential difference between the points 'a' and 'b' is approximately (in V): Includes diagram
Physics · Current Electricity · MCQ
Q61.Ship A is sailing towards north-east with velocity $v \to = 30 i \land + 50 j \land$ km/hr where $i \land$ points east and $j \land$ , north. Ship B is at…
Physics · Motion in A Plane · MCQ
Q62.A thin circular plate of mass M and radius R has its density varying as $ρ$ (r) = $ρ$ 0r with $ρ$ 0 as constant and r is the distance from its centre. The moment of Inertia of the circular plate about an axis perpendicular to the…
Physics · Rotational Motion · MCQ
Q63.A 20 Henry inductor coil is connected to a 10 ohm resistance in series as shown in figure. The time at which rate of dissipation of energy (joule's heat) across resistance is equal to the rate at which magnetic energy is stored in the… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q64.An upright object is placed at a distance of 40 cm in front of a convergent lens of focal length 20 cm. A convergent mirror of focal length 10 cm is placed at a distance of 60 cm on the other side of the lens. The position and size of the…
Physics · Geometrical Optics · MCQ
Q65.A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is connected to a spring of spring constant 0.5 Nm–1 (see figure). The assembly is kept in a uniform magnetic field of 0.1 T. If the strip is pulled from its… Includes diagram
Physics · Magnetics · MCQ
Q66.The reverse breakdown voltage of a Zener diode is 5.6 V in the given circuit. The current IZ through the Zener is : Includes diagram
Physics · Electronic Devices · MCQ
Q67.Water from a pipe is coming at a rate of 100 litres per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of : (density of water = 1000 kg/m3, coefficient of viscosity of water = 1mPas)
Physics · Properties of Matter · MCQ
Q68.The bob of a simple pendulum has mass 2g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of intensity 2000 V/m. At equilibrium, the angle that the pendulum makes with the vertical is : (take g = 10 m/s2)
Physics · Electrostatics · MCQ
Q69.A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B $i \land$ . The torque on the coil due to the magnetic field is :
Physics · Magnetics · MCQ
Q70.A boy's catapult is made of rubber cord which is 42 cm long, with 6 mm diameter of cross-section and of negligible mass. The boy keeps a stone weighing 0.02kg on it and stretches the cord by 20 cm by applying a constant force. When…
Physics · Properties of Matter · MCQ
Q71.Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withstand a maximum electric field of 106 V/m. The plate area is 10–4 m2. What is the dielectric constant is the capacitance is 15 pF? (given $ε$ 0 = 8.86 ×…
Physics · Capacitor · MCQ
Q72.Two identical beakers A and B contain equal volumes of two different liquids at 60°C each and left to cool down. Liquid in A has density of 8 × 102 kg/m3 and specific heat of 2000 J kg–1 K–1 while liquid in B has density of 103 kg m–3 and…
Physics · Heat and Thermodynamics · MCQ
Q73.Four particles A, B, C and D with masses mA = m, mB = 2m, mC = 3m and mD = 4m are at the corners of a square. They have accelerations of equal magnitude with directions as shown. The acceleration of the centre of mass of the particles is : Includes diagram
Physics · Center of Mass · MCQ