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2019 · 9 Apr · Shift 1

72 questions · JEE Main

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2019 · 9 Apr · Shift 1

2019 · 9 Apr · Shift 1

72 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics28 questions

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

Q1.The major product of the following reaction is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q2.The major product of the following reaction is : $C H_{3} CH = CHC O_{2} C H_{3} L i A l H_{4}$
Chemistry · Alcohols Phenols and Ethers · MCQ
Q3.The increasing order of reactivity of the following compounds towards aromatic electrophilic substitution reaction is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q4.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q5.The standard Gibbs energy for the given cell reaction in kJ mol–1 at 298 K is : $Z n$ (s) + $C u^{2 +}$ (aq) $\to$ $Z n^{2 +}$ (aq) + $C u$ (s), E° = 2 V at 298 K (Faraday's constant, F = 96000 C mol–1)
Chemistry · Electrochemistry · MCQ
Q6.Among the following, the set of parameters that represents path function, is : (A) q + w (B) q (C) w (D) H–TS
Chemistry · Thermodynamics · MCQ
Q7.The osmotic pressure of a dilute solution of an ionic compound $X Y$ in water is four times that of a solution of 0.01 M $B a C l_{2}$ in water. Assuming complete dissociation of the given ionic compounds in water, the concentration of $X Y$ (in…
Chemistry · Solutions · MCQ
Q8.The correct IUPAC name of the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q9.The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) and (ii). The respective orders of the reactions are : Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q10.For a reaction, $N_{2}$ (g) + 3 $H_{2}$ (g) $\to$ 2 $N H_{3}$ (g) ; identify dihydrogen ( $H_{2}$ ) as a limiting reagent in the following reaction mixtures.
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q11.The one that will show optical activity is : (en = ethane-1,2-diamine)
Chemistry · Coordination Compounds · MCQ
Q12.Among the following, the molecule expected to be stabilized by anion formation is : $C_{2}$ , $O_{2}$ , $N O$ , $F_{2}$
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q13.Which of the following statements is not true about sucrose?
Chemistry · Biomolecules · MCQ
Q14.The organic compound that gives following qualitative analysis is : Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q15.The major product of the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q16.The degenerate orbitals of $[C r (H_{2} O)_{6}]^{3 +}$ are :
Chemistry · Coordination Compounds · MCQ
Q17.The correct order of the oxidation states of nitrogen in $N O$ , $N_{2} O$ , $N O_{2}$ and $N_{2} O_{3}$ is :
Chemistry · Redox Reactions · MCQ
Q18.The major product of the following reaction is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q19.For any given series of spectral lines of atomic hydrogen, let $Δ v_=$ $Δ \overline{v}_{m a x} - Δ \overline{v}_{m i n}$ be the difference in maximum and minimum frequencies in cm–1. The ratio Lyman…
Chemistry · Structure of Atom · MCQ
Q20.The element having greatest difference between its first and second ionization energies, is :
Chemistry · Periodic Table and Periodicity · MCQ
Q21.Aniline dissolved in dilute HCl is reacted with sodium nitrite at 0ºC. This solution was added dropwise to a solution containing equimolar mixture of aniline and phenol in dil. HCl. The structure of the major product is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q22.Liquid 'M' and liquid 'N' form an ideal solution. The vapour pressures of pure liquids 'M' and 'N' are 450 and 700 mmHg, respectively, at the same temperature. Then correct statement is: (xM = Mole fraction of 'M' in solution ; xN = Mole…
Chemistry · Solutions · MCQ
Q23.If the standard deviation of the numbers –1, 0, 1, k is $5$ where k > 0, then k is equal to
Mathematics · Statistics · MCQ
Q24.Let p, q $\in$ R. If 2 - $3$ is a root of the quadratic equation, x2 + px + q = 0, then :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.Let ƒ(x) = 15 – |x – 10|; x $\in$ R. Then the set of all values of x, at which the function, g(x) = ƒ(ƒ(x)) is not differentiable, is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.If ƒ(x) is a non-zero polynomial of degree four, having local extreme points at x = –1, 0, 1; then the set S = {x $\in$ R : ƒ(x) = ƒ(0)} Contains exactly :
Mathematics · Application of Derivatives · MCQ
Q27.The value of $0 \int π /2 \frac{s i n ^{3} x}{s i n x + c o s x} d x$ is
Mathematics · Definite Integration · MCQ
Q28.Let $α = 3 i + j$ and $β = 2 i - j + 3 k$ . If $β = β_{1} - β_{2}$ , where $β_{1}$ …
Mathematics · Vector Algebra · MCQ
Q29.All the points in the set $S = {\frac{α + i}{α - i} : α \in R} (i = - 1)$ lie on a :
Mathematics · Complex Numbers · MCQ
Q30.If $[1011] [1021] [1031]$ .... $[10 n - 1 1] = [10781]$ …
Mathematics · Matrices and Determinants · MCQ
Q31.If the function ƒ : R – {1, –1} $\to$ A defined by ƒ(x) = $\frac{x ^{2}}{1 - x ^{2}}$ , is surjective, then A is equal to
Mathematics · Functions · MCQ
Q32.If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :
Mathematics · Parabola · MCQ
Q33.If the function ƒ defined on , $(\frac{π}{6}, \frac{π}{3})$ by $f (x) = {\frac{2 cosx o l imi t s - 1}{c o t x - 1}, k, x e \frac{π}{4} x = \frac{π}{4}$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.The value of cos210° – cos10°cos50° + cos250° is
Mathematics · Trigonometric Ratio and Identites · MCQ
Q35.Let $k = 1 \sum 10 f (a + k) = 16 (2^{10} - 1)$ where the function ƒ satisfies ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number 'a' is
Mathematics · Functions · MCQ
Q36.Four persons can hit a target correctly with probabilities $\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{1}{4}$ and $\frac{1}{8}$ respectively. if all hit at the target independently, then the probability that the target would be hit, is :
Mathematics · Probability · MCQ
Q37.Let $α$ and $β$ be the roots of the equation x2 + x + 1 = 0. Then for y $e$ 0 in R, $y + 1 α β α y + β 1 β 1 y + α$ …
Mathematics · Matrices and Determinants · MCQ
Q38.The area (in sq. units) of the region A = {(x, y) : x2 $\leq$ y $\leq$ x + 2} is
Mathematics · Area Under the Curves · MCQ
Q39.Let the sum of the first n terms of a non-constant A.P., a1, a2, a3, ..... be $50 n + \frac{n ( n - 7 )}{2} A$ , where A is a constant. If d is the common difference of this A.P., then the ordered pair (d, a50) is equal to
Mathematics · Sequences and Series · MCQ
Q40.The integral $\int se c^{2/3} x cose c^{4/3} x dx$ is equal to (Hence C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q41.The solution of the differential equation $x \frac{d y}{d x} + 2 y$ = x2 (x $e$ 0) with y(1) = 1, is :
Mathematics · Differential Equations · MCQ
Q42.If the fourth term in the binomial expansion of $(\frac{2}{x} + x^{l o g_{8} x})^{6}$ (x > 0) is 20 × 87, then a value of x is :
Mathematics · Binomial Theorem · MCQ
Q43.A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with at least 3 females, then :
Mathematics · Permutations and Combinations · MCQ
Q44.Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q45.A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is :
Physics · Geometrical Optics · MCQ
Q46.For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be :
Physics · Heat and Thermodynamics · MCQ
Q47.A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X-axis. If the coil is tilted…
Physics · Magnetics · MCQ
Q48.If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capillary tube of radius '2r' is :
Physics · Properties of Matter · MCQ
Q49.Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the 2nd Balmer line (n = 4 to n = 2) will be :
Physics · Atoms and Nuclei · MCQ
Q50.The magnetic field of a plane electromagnetic wave is given by : $\overline{B} = B_{0} i [cos (k z - ω t)] + B_{i} j cos (k z + ω t)$ B0 = 3 × 10–5 T and B1 = 2 × 10–6 T. The rms value of the force…
Physics · Electromagnetic Waves · MCQ
Q51.A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its (1/n)th part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be :
Physics · Work Power and Energy · MCQ
Q52.A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function of $θ$ , where $θ$ is the angle by which it has rotated, is given as k $θ$ 2. If its moment of…
Physics · Rotational Motion · MCQ
Q53.A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin(0.157x) cos(200pt). The length of the string is : (All quantities are in SI units.)
Physics · Waves · MCQ
Q54.The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane. : (i) a ring of radius R, (ii) a solid cylinder of radius R/2 and (iii) a solid sphere of radius R/4 . If in each case, the speed…
Physics · Rotational Motion · MCQ
Q55.A rigid square loop of side 'a' and carrying current I2 is lying on a horizontal surface near a long current I1 carrying wire in the same plane as shown in figure. The net force on the loop due to wire will be : Includes diagram
Physics · Magnetics · MCQ
Q56.The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thickness t and refractive index μ is put in front of one of the slits, the central maximum gest shifted by a distance equal to… Includes diagram
Physics · Wave Optics · MCQ
Q57.A capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how much work is done ?
Physics · Capacitor · MCQ
Q58.A ball is thrown vertically up (taken as +z-axis) from the ground. The correct momentum-height (p-h) diagram is :
Physics · Center of Mass · MCQ
Q59.The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting the separation between windings. The inductance of solenoid will be proportional to :
Physics · Electromagnetic Induction · MCQ
Q60.The electric field of light wave is given as $E = 1 0^{- 3} cos (\frac{2 π x}{5 \times 10 ^{- 7}} - 2 π \times 6 \times 10^{14} t) x \land \frac{N}{C}$ This light falls on…
Physics · Dual Nature of Radiation · MCQ
Q61.A moving coil galvanometer has resistance 50 $Ω$ and it indicates full deflection at 4mA current. A voltmeter is made using this galvanometer and a 5 k $Ω$ resistance. The maximum voltage, that can be measured using this…
Physics · Current Electricity · MCQ
Q62.The pressure wave, P = 0.01 sin [1000t – 3x] Nm–2, corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 0°C. On some other day, when temperature is T, the speed of sound produced by the same blade…
Physics · Waves · MCQ
Q63.A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance '3a' from the centre will be :
Physics · Gravitation · MCQ
Q64.The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight ?
Physics · Motion in A Plane · MCQ
Q65.A system of three charges are placed as shown in the figure : If D >> d, the potential energy of the system is best given by : Includes diagram
Physics · Electrostatics · MCQ
Q66.Determine the charge on the capacitor in the following circuit : Includes diagram
Physics · Capacitor · MCQ
Q67.A body of mass 2 kg makes an eleastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body ?
Physics · Center of Mass · MCQ
Q68.A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 1/16 th of the material of the bob. If the bob is inside liquid all the time, its…
Physics · Properties of Matter · MCQ
Q69.Following figure shows two processes A and B for a gas. If $Δ$ QA and $Δ$ QB are the amount of heat absorbed by the system in two cases, and $Δ$ UA and $Δ$ UB are changes in internal energies, respectively, then : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q70.A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is : (E is mid-point of arm CD) Includes diagram
Physics · Current Electricity · MCQ
Q71.An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseous phase is $\overline{v}$ , m is its mass and kB is Boltzmann constant, then its temperature will be :
Physics · Heat and Thermodynamics · MCQ
Q72.In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, respectively. The error in the measurement of density is :
Physics · Units and Measurements · MCQ