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2018 · 15 Apr · Shift 1

73 questions · JEE Main

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2018 · 15 Apr · Shift 1

2018 · 15 Apr · Shift 1

73 questions · JEE Main

Chemistry25 questions Mathematics22 questions Physics26 questions

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

Q1.The reagent(s) required for the following conversion are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q3.Which of the following will not exist in zwitter ionic form at pH=7 ?
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Which of the following will most readily give the dehydrohalogenation product ?
Chemistry · Hydrocarbons · MCQ
Q5.The main reduction product of the following compound with $N a B H_{4}$ in methanol is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.The increasing order of nitration of the following compounds is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.The correct match between items of List-I and List-II is : Includes table
Chemistry · Basics of Organic Chemistry · MCQ
Q8.Which of the following is the correct structure of Adenosine?
Chemistry · Biomolecules · MCQ
Q9.In hydrogen azide (above) the bond orders of bond (I) and (II) are : Includes diagram
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.An ideal gas undergoes a cyclic process as shown in Figure. $Δ$ UBC = $-$ 5 kJ mol-1, qAB = $2$ kJ mol-1, WAB = $-$ 5 kJ mol-1, WCA = 3 kJ mol-1. Heat absorbed by the system during process $C A$ is : Includes diagram
Chemistry · Thermodynamics · MCQ
Q11.The IUPAC name of the following compound is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q12.The decreasing order of bond angles in $B F_{3}$ , $N H_{3}$ , $P F_{3}$ and $I_{3}^{-}$ is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q13.When an electric currents passed through acidified water, 112 mL of hydrogen gas at N.T.P. was collected at the cathode in 965 seconds. The current passed, in ampere, is :
Chemistry · Electrochemistry · MCQ
Q14.The correct combination is :
Chemistry · Coordination Compounds · MCQ
Q15.Identify the pair in which the geometry of the species is $T$ -shape and square - pyraidal, respectively :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q16.In graphite and diamond, the percentage of p-characters of the hybrid orbitals in hybridisation are respectively :
Chemistry · P Block Elements · MCQ
Q17.For $N a^{+}$ , $M g^{2 +}$ , $F^{-}$ and $O^{2 -}$ ; the correct order of increasing ionic radii is :
Chemistry · Periodic Table and Periodicity · MCQ
Q18.Which of the following is a Lewis acid?
Chemistry · Ionic Equilibrium · MCQ
Q19.In the molecular orbital diagram for the molecular ion, $N_{2}^{+}$ , the number of electrons in the $σ$ 2pz molecular orbital is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q20.For which of the following reactions, $Δ$ H is equal to $Δ$ U?
Chemistry · Thermodynamics · MCQ
Q21.Ejection of the photoelectron from metal in the photoelectric experiment can be stopped by applying 0.5 V when the radiation of 250 nm is used. The work function of the metal is :
Chemistry · Structure of Atom · MCQ
Q22. $N_{2} O_{5}$ decomposes to $N O_{2}$ and $O_{2}$ and follows first order kinetics. After 50 minutes, the pressure inside the vessel increases from 50 mmHg to 87.5 mmHg. The pressure of the gaseous mixture after 100 minute at constant temperature…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q23.In which of the following reactions, an increase in the volume of the container will favour the formation of products?
Chemistry · Chemical Equilibrium · MCQ
Q24.A sample of $N a C l O_{3}$ is converted by heat to $N a C l$ with a loss of $0.16 g$ of oxygen. The residue is dissolved in water and precipitated as $A g C l .$ The mass of $A g C l$ (in $g$ ) obtained will be : (Given : Molar mass of $A g C l = 143.5 g m o l^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q25.The minimum volume of water required to dissolve 0.1 g lead (II) chloride to get a saturated solution (Ksp of $P b C l_{2}$ = 3.2 $\times$ 10-8 atomic mass of Pb = 207 u ) is :
Chemistry · Ionic Equilibrium · MCQ
Q26.n $-$ digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct numbers can be formed, is :
Mathematics · Permutations and Combinations · MCQ
Q27.If x1, x2, . . ., xn and $\frac{1}{h _{1}}$ , $\frac{1}{h _{2}}$ , . . . , $\frac{1}{h _{n}}$ are two A.P..s such that x3 = h2 = 8 and x8 = h7 = 20, then x5.h10 equals :
Mathematics · Sequences and Series · MCQ
Q28.Let S be the set of all real values of k for which the systemof linear equations x + y + z = 2 2x + y $-$ z = 3 3x + 2y + kz = 4 has a unique solution. Then S is :
Mathematics · Matrices and Determinants · MCQ
Q29.Let $A$ be a matrix such that $A . [1023]$ is a scalar matrix and |3A| = 108. Then A2 equals :
Mathematics · Matrices and Determinants · MCQ
Q30.The set of all $α \in$ R, for which w = $\frac{1 + ( 1 - 8 α ) z}{1 - z}$ is purely imaginary number, for all z $\in$ C satisfying |z| = 1 and Re z $e$ 1, is :
Mathematics · Complex Numbers · MCQ
Q31.If $λ \in$ R is such that the sum of the cubes of the roots of the equation, x2 + (2 $- λ$ ) x + (10 $- λ$ ) = 0 is minimum, then the magnitude of the difference of the roots of this equation is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q32.Consider the following two binary relations on the set A = {a, b, c} : R1 = {(c, a), (b, b), (a, c), (c, c), (b, c), (a, a)} and R2 = {(a, b), (b, a), (c, c), (c, a), (a, a), (b, b), (a, c)}. Then :
Mathematics · Sets and Relations · MCQ
Q33.If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval :
Mathematics · Sequences and Series · MCQ
Q34.If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is :
Mathematics · Hyperbola · MCQ
Q35.If tanA and tanB are the roots of the quadratic equation, 3x2 $-$ 10x $-$ 25 = 0, then the value of 3 sin2(A + B) $-$ 10 sin(A + B).cos(A + B) $-$ 25 cos2(A + B) is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q36.A box 'A' contains $2$ white, $3$ red and $2$ black balls. Another box 'B' contains $4$ white, $2$ red and $3$ black balls. If two balls are drawn at random, without eplacement, from a randomly selected box and one ball turns out to be…
Mathematics · Probability · MCQ
Q37.The mean of set of 30 observations is 75. If each observation is multiplied by a non-zero number $λ$ and then each of them is decreased by 25, their mean remains the same. Then $λ$ is equal to :
Mathematics · Statistics · MCQ
Q38.If $a, b,$ and $C$ are unit vectors such that $a + 2 b + 2 c = 0,$ then $a \times c$ …
Mathematics · Vector Algebra · MCQ
Q39.Let y = y(x) be the solution of the differential equation $\frac{d y}{d x} + 2 y = f (x),$ where $f (x) = {1, 0, x \in [0, 1] o t h er w i se$ …
Mathematics · Differential Equations · MCQ
Q40.In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y = 5 and x = 4. Then area of $Δ$ ABC (in sq. units) is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q41.The value of the integral $- \frac{π}{2} \int \frac{π}{2} sin^{4} x (1 + lo g (\frac{2 + s i n x}{2 - s i n x})) d x$ is :
Mathematics · Definite Integration · MCQ
Q42.The area (in sq. units) of the region {x $\in$ R : x $\geq$ 0, y $\geq$ 0, y $\geq$ x $-$ 2 and y $\leq x$ }, is :
Mathematics · Area Under the Curves · MCQ
Q43.If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm2) of this cone is :
Mathematics · Application of Derivatives · MCQ
Q44.If $f (\frac{x - 4}{x + 2}) = 2 x + 1,$ (x $\in$ R $-$ {1, } $-$ 2}), then $\int f (x) d x$ is equal to : (where C is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q45.Let S = {( $λ$ , $μ$ ) $\in$ R $\times$ R : f(t) = (| $λ$ | e|t| $- μ$ ). sin (2|t|), t $\in$ R, is a differentiable function}. Then S is a subset of :
Mathematics · Limits Continuity and Differentiability · MCQ
Q46.If x2 + y2 + sin y = 4, then the value of $\frac{d ^{2} y}{d x ^{2}}$ at the point ( $-$ 2,0) is :
Mathematics · Differentiation · MCQ
Q47.If $f (x) = cos x 2 sin x tan x x x^{2} x 1 2 x 1,$ then $x \to 0 lim \frac{f ^{'} ( x )}{x}$
Mathematics · Differentiation · MCQ
Q48.A monochromatic beam of light has a frequency $v = \frac{3}{2 π} \times 1 0^{12} H z$ and is propagating along the direction $\frac{i + j}{2} .$ It is polarized along the $k$ direction. The…
Physics · Electromagnetic Waves · MCQ
Q49.In a meter bridge, as shown in the figure, it is given that resistance $Y = 12.5 Ω$ and that the balance is obtained at a distance $39.5 c m$ from end $A$ (by Jockey J). After interchanging the resistances $X$ and $Y$ , a new balance… Includes diagram
Physics · Current Electricity · MCQ
Q50.A particle is oscillating on the $X$ -axis with an amplitude $2 c m$ about the point $x_{0} = 10 c m,$ with a frequency $ω$ . A concave mirror of local length $5 c m$ is placed at the origin (see figure). Identify the correct statements. Includes diagram
Physics · Geometrical Optics · MCQ
Q51.A force of $40 N$ acts on a point $B$ at the end of an $L$ -shaped object, as shown in the figure. The angle $θ$ that will produce maximum moment of the force about point $A$ is given by : Includes diagram
Physics · Rotational Motion · MCQ
Q52.A charge $Q$ is placed at a distance $a /2$ above the center of the square surface of edge a as shown in the figure. The electric flux through the square surface is Includes diagram
Physics · Electrostatics · MCQ
Q53.The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in $15 s$ and (ii) the time at which the car will catch up with the scooter are,… Includes diagram
Physics · Motion in A Straight Line · MCQ
Q54.In a screw gauge, $5$ complete rotations of the screw cause it to move a linear distance of $0.25 c m .$ There are $100$ circular scale divisions. The thickness of a wire measured by this screw gauge gives a reading of $4$ main scale…
Physics · Units and Measurements · MCQ
Q55.Two electrons are moving with non-relativistic speed perpendicular to each other. If corresponding de Broglie wavelength are $λ_{1}$ and $λ_{2},$ their de Broglie wavelength in the frame of reference attached to their center…
Physics · Dual Nature of Radiation · MCQ
Q56.The energy required to remove the electron from a singly ionized Helium atom is $2.2$ times the energies required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is :
Physics · Atoms and Nuclei · MCQ
Q57.A planoconvex lens becomes an optical system of $28 c m$ focal length when its plane surface is silvered and illuminated from left to right as shown in Fig-A. If the same lens is instead silvered on the curved surface and illuminated from… Includes diagram
Physics · Geometrical Optics · MCQ
Q58.A Helmholtz coil has a pair of loops, each with $N$ turns and radius $R$ . They are placed coaxially at distance $R$ and the same current $I$ flows through the loops in the same direction. $P,$ midway between the centers $A$ and $C$ ,… Includes diagram
Physics · Magnetics · MCQ
Q59.Light of wavelength $550 nm$ falls normally on a slit of width $22.0 \times 1 0^{- 5} c m .$ The angular position of the second minima from the central maximum will (in radians) :
Physics · Wave Optics · MCQ
Q60.A tuning fork vibrates with frequency $256 H z$ and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe ? (Speed of sound in air is $340 m s^{- 1}$ )
Physics · Waves · MCQ
Q61.A body of mass $M$ and charge $q$ is connected to spring of spring constant $k .$ It is oscillating along $x$ -direction about its equilibrium position, taken to be at $x = 0,$ with an amplitude $A$ . An electric field $E$ is applied along the $x$ …
Physics · Electrostatics · MCQ
Q62.One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, $2 7^{\circ} C .$ The work done on the gas will be :
Physics · Heat and Thermodynamics · MCQ
Q63.A thin uniform tube is bent into a circle of radius $r$ in the vertical plane. Equal volumes of two immiscible liquids, whose densities are $ρ_{1}$ and $ρ_{2}$ $(ρ_{1} > ρ_{2}),$ fill half the circle. The…
Physics · Properties of Matter · MCQ
Q64.Take the mean distance of the moon and the sun from the earth to be $0.4 \times 1 0^{6}$ km and $150 \times 1 0^{6}$ km respectively. Their masses are $8 \times 1 0^{22}$ kg and $2 \times 1 0^{30}$ kg respectively. The radius of the earth…
Physics · Gravitation · MCQ
Q65.The relative error in the determination of the surface area of sphere is $α$ . Then the relative error in the determination of its volume is :
Physics · Units and Measurements · MCQ
Q66.An automobile, travelling at $40$ km/h, can be stopped at a distance of $40$ m by applying brakes. If the same automobile is travelling at $80$ km/h, the minimum stopping distance, in metres, is (assume no skidding) :
Physics · Motion in A Straight Line · MCQ
Q67.A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius $\frac{R}{2},$ and the other mass, in a circular…
Physics · Gravitation · MCQ
Q68.A given object takes n times more time to slide down a $4 5^{\circ}$ rough inclined plane as it takes to slide down a perfectly smooth $4 5^{\circ}$ incline. The coefficient of kinetic friction between the object and the incline is :
Physics · Laws of Motion · MCQ
Q69.The equivalent capacitance between $A$ and $B$ in the circuit given below, is : Includes diagram
Physics · Capacitor · MCQ
Q70.A uniform rod $A B$ is suspended from a point $X,$ at a variable distance $x$ from $A$ , as shown, To make the rod horizontal, a mass $m$ is suspended from its end $A .$ A $se t o f$ (m,x)$$ values is recorded. The appropriate variables that… Includes diagram
Physics · Rotational Motion · MCQ
Q71.An ideal capacitor of capacitance $10 V .$ is charged to a potential difference of $10 V .$ The charging battery is then disconnected. The capacitor is then connected to an ideal inductor of self inductance $0.5 m H .$ The current at a time…
Physics · Alternating Current · MCQ
Q72.In the given circuit all resistances are of value $R o hm$ each. The equivalent resistance between $A$ and $B$ is : Includes diagram
Physics · Current Electricity · MCQ
Q73.The $B$ - $H$ curve for a ferromagnet is shown in the figure. The ferromagnet is placed inside a long solended with $1000$ turns/cm. The current that should be passed in the solended to demagnetise the ferromagnet completely is : Includes diagram
Physics · Magnetic Properties of Matter · MCQ