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2016 · 9 Apr · Shift 1

73 questions · JEE Main

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2016 · 9 Apr · Shift 1

2016 · 9 Apr · Shift 1

73 questions · JEE Main

Chemistry21 questions Mathematics25 questions Physics27 questions

BiomoleculesChemistry · 1 questions ThermodynamicsChemistry · 3 questions Compounds Containing NitrogenChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions HydrocarbonsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions P Block ElementsChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions SolutionsChemistry · 1 questions Sequences and SeriesMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Binomial TheoremMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions FunctionsMathematics · 1 questions CircleMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions HyperbolaMathematics · 1 questions Vector AlgebraMathematics · 1 questions StatisticsMathematics · 1 questions 3D GeometryMathematics · 1 questions ProbabilityMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Electromagnetic WavesPhysics · 1 questions Properties of MatterPhysics · 3 questions GravitationPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Electronic DevicesPhysics · 2 questions ElectrostaticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Wave OpticsPhysics · 1 questions Current ElectricityPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions MagneticsPhysics · 2 questions CapacitorPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Laws of MotionPhysics · 1 questions Alternating CurrentPhysics · 1 questions

Q1.Consider the following sequence for aspartic acid : The pI (isoelectric point) of aspartic acid is : Includes diagram
Chemistry · Biomolecules · MCQ
Q2.The plot shows the variation of − $l n$ Kp versus temperature for the two reactions. M(s) + $\frac{1}{2}$ $O_{2}$ (g) $\to$ MO(s) and C(s) + $\frac{1}{2}$ $O_{2}$ (g) $\to$ CO(s) Identify the correct statement : Includes diagram
Chemistry · Thermodynamics · MCQ
Q3.The test to distinguish primary, secondary and tertiary amines is :
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Bouveault-Blanc reduction reaction involves :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q5.The gas evolved on heating $C H_{3} M g B r$ in methanol is :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q6.5 L of an alkane requires 25 L of oxygen for its complete combustion. If all volumes are measured at constant temperature and pressure, the alkane is :
Chemistry · Hydrocarbons · MCQ
Q7.An organic compound contains C, H and S. The minimum molecular weight of the compound containing 8% sulphur is : (atomic weight of S = 32 amu)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q8.The hydrocarbon with seven carbon atoms containing a neopentyl and a vinyl group is :
Chemistry · Basics of Organic Chemistry · MCQ
Q9.Which one of the following species is stable in aqueous solution?
Chemistry · D and F Block Elements · MCQ
Q10.Which one of the following complexes will consume more equivalents of aqueous solution of $A g (N O_{3})$ ?
Chemistry · Coordination Compounds · MCQ
Q11.Identify the correct trend given below : (Atomic No.=Ti : 22, Cr : 24 and Mo : 42)
Chemistry · Coordination Compounds · MCQ
Q12.For the reaction, A(g) + B(g) $\to$ C(g) + D(g), $Δ$ Ho and $Δ$ So are, respectively, − 29.8 kJ mol−1 and −0.100 kJ K−1 mol−1 at 298 K. The equilibrium constant for the reaction at 298 K is :
Chemistry · Thermodynamics · MCQ
Q13.The group of molecules having identical shape is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q14.The non-metal that does not exhibit positive oxidation state is :
Chemistry · P Block Elements · MCQ
Q15.The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below : $O_{3}$ (g) + Cl $^{∙}$ (g) $\to$ $O_{2}$ (g) + ClO $^{∙}$ (g) . . . . . .(i) ki = 5.2 × 109 L mol−1 s−1 ClO $^{∙}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q16.A reaction at 1 bar is non-spontaneous at low temperature but becomes spontaneous at high temperature. Identify the correct statement about the reaction among the following :
Chemistry · Thermodynamics · MCQ
Q17.What will occur if a block of copper metal is dropped into a beaker containing a solution of 1M $Z n S O_{4}$ ?
Chemistry · Electrochemistry · MCQ
Q18.The total number of orbitals associated with the principal quantum number 5 is :
Chemistry · Structure of Atom · MCQ
Q19.The solubility of $N_{2}$ in water at 300 K and 500 torr partial pressure is 0.01 g L−1. The solubility (in g L−1) at 750 torr partial pressure is :
Chemistry · Solutions · MCQ
Q20.Which intermolecular force is most responsible in allowing xenon gas to liquefy?
Chemistry · P Block Elements · MCQ
Q21.The amount of arsenic pentasulphide that can be obtained when 35.5 g arsenic acid istreated with excess $H_{2} S$ in the presence of conc. HCl ( assuming 100% conversion) is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q22.Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0.1) (600)3. Then x3 + y3 + z3is equal to :
Mathematics · Sequences and Series · MCQ
Q23.If the four letter words (need not be meaningful ) are to be formed using the letters from the word “MEDITERRANEAN” such that the first letter is R and the fourth letter is E, then the total number of all such words is :
Mathematics · Permutations and Combinations · MCQ
Q24.For x $\in$ R, x $e$ -1, if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + . . . . + x2016 = $i = 0 \sum 2016 a_{i} x^{i},$ then a17 is equal to :
Mathematics · Binomial Theorem · MCQ
Q25.The number of distinct real roots of the equation, $cos x sin x sin x sin x cos x sin x sin x sin x cos x = 0$ in the…
Mathematics · Matrices and Determinants · MCQ
Q26.If P = $[\frac{3}{2} - \frac{1}{2} \frac{1}{2} \frac{3}{2}], A = [1011]$ Q =…
Mathematics · Matrices and Determinants · MCQ
Q27.If the equations x2 + bx−1 = 0 and x2 + x + b = 0 have a common root different from −1, then $∣ b ∣$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q28.The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there $22$ units in the south-westwardsdirection. Then its new position in the Argand plane is at the point…
Mathematics · Complex Numbers · MCQ
Q29.For x $\in$ R, x $e$ 0, Let f0(x) = $\frac{1}{1 - x}$ and fn+1 (x) = f0(fn(x)), n = 0, 1, 2, . . . . Then the value of f100(3) + f1 $(\frac{2}{3})$ + f2 $(\frac{3}{2})$ is equal to :
Mathematics · Functions · MCQ
Q30.The value of $r = 1 \sum 15 r^{2} (\frac{^{15} C _{r}}{^{15} C _{r - 1}})$ is equal to :
Mathematics · Permutations and Combinations · MCQ
Q31.A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle?
Mathematics · Circle · MCQ
Q32.If m and M are the minimum and the maximum values of 4 + $\frac{1}{2}$ sin2 2x $-$ 2cos4 x, x $\in$ R, then M $-$ m is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q33.Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0. If S(5, 0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a2 −…
Mathematics · Hyperbola · MCQ
Q34.In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively 3 $i$ + $j - k$ , $- i$ + 3 $j$ + p $k$ and 5 $i$ + q $j -$ 4 $k$ …
Mathematics · Vector Algebra · MCQ
Q35.If the mean deviation of the numbers 1, 1 + d, ..., 1 +100d from their mean is 255, then a value of d is :
Mathematics · Statistics · MCQ
Q36.The shortest distance between the lines $\frac{x}{2} = \frac{y}{2} = \frac{z}{1}$ and $\frac{x + 2}{- 1} = \frac{y - 4}{8} = \frac{z - 5}{4}$ lies in the interval :
Mathematics · 3D Geometry · MCQ
Q37.If A and B are any two events such that P(A) = $\frac{2}{5}$ and P (A $\cap$ B) = $\frac{3}{20}$ , hen the conditional probability, P(A $∣$ (A' $\cup$ B')), where A' denotes the complement of A, is equal to :
Mathematics · Probability · MCQ
Q38.The point (2, 1) is translated parallel to the line L : x− y = 4 by $23$ units. If the newpoint Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q39.The area (in sq. units) of the region described by A= {(x, y) $∣$ y $\geq$ x2 $-$ 5x + 4, x + y $\geq$ 1, y $\leq$ 0} is :
Mathematics · Area Under the Curves · MCQ
Q40.If a variable line drawn through the intersection of the lines $\frac{x}{3} + \frac{y}{4} = 1$ and $\frac{x}{4} + \frac{y}{3} = 1,$ meets the coordinate axes at A and B, (A $e$ B), then the locus of the midpoint of AB is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q41.If f(x) is a differentiable function in the interval (0, $\infty$ ) such that f (1) = 1 and $t \to x lim$ $\frac{t ^{2} f ( x ) - x ^{2} f ( t )}{t - x} = 1,$ for each x > 0, then $f (\frac{3}{2})$ …
Mathematics · Differential Equations · MCQ
Q42.If $2 0 \int 1 tan^{- 1} x d x = 0 \int 1 cot^{- 1} (1 - x + x^{2}) d x,$ then $0 \int 1 tan^{- 1} (1 - x + x^{2}) d x$ is equalto :
Mathematics · Definite Integration · MCQ
Q43.If $\int \frac{d x}{c o s ^{3} x 2 s i n 2 x} = (tan x)^{A} + C (tan x)^{B} + k,$ where k is a constant of integration, then A + B +C equals :
Mathematics · Indefinite Integrals · MCQ
Q44.The minimum distance of a point on the curve y = x2−4 from the origin is :
Mathematics · Application of Derivatives · MCQ
Q45.If the function f(x) = ${- x a + cos^{- 1} (x + b), x < 1 1 \leq x \leq 2$ is differentiable at x = 1, then $\frac{a}{b}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q46.If $x \to \infty lim (1 + \frac{a}{x} - \frac{4}{x ^{2}})^{2 x} = e^{3},$ then 'a' is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q47.Microwave oven acts on the principle of :
Physics · Electromagnetic Waves · MCQ
Q48.Consider a water jar of radius R that has water filled up to height H and is kept on astand of height h (see figure). Through a hole of radius r (r << R) at its bottom, the water leaks out and the stream of water coming down towards… Includes diagram
Physics · Properties of Matter · MCQ
Q49.Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is $\frac{1}{4}$ the area of the ellipse. (See figure) With db as the semimajor axis, and ca as the semiminor axis. If t1 is the time taken… Includes diagram
Physics · Gravitation · MCQ
Q50.To find the focal length of a convex mirror, a student records the following data : The focal length of the convex lens is f1 and that of mirror is f2. Then taking index correction to be negligibly small, f1 and f2 are close to : Includes table
Physics · Geometrical Optics · MCQ
Q51.A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values R and 3 R, respectively. The upper end of the…
Physics · Properties of Matter · MCQ
Q52.A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the temperature of the wire is increased and the corresponding change in its time period is plotted against its temperature,…
Physics · Heat and Thermodynamics · MCQ
Q53.The truth table given in fig. represents : Includes table
Physics · Electronic Devices · MCQ
Q54.The potential (in volts) of a charge distribution is given by. V(z) = 30 $-$ 5x2 for $∣ z ∣$ $\leq$ 1 m. V(z) = 35 $-$ 10 $∣ z ∣$ for $\geq$ $\geq$ 1 m. V(z) does not depend on x and y. If this…
Physics · Electrostatics · MCQ
Q55.A hydrogen atom makes a transition from n = 2 to n = 1 and emits a photon. This photon strikes a doubly ionized lithium atom (z = 3) in excited state and completely removes the orbiting electron. The least quantum number for the excited…
Physics · Atoms and Nuclei · MCQ
Q56.In Young’s double slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits…
Physics · Wave Optics · MCQ
Q57.A 50 $Ω$ resistance is connected to a battery of 5 V. A galvanometer of resistance 100 $Ω$ is to be used as an ammeter to measure current through the resistance, for this a resistance rs is connected to the galvanometer. Which of…
Physics · Current Electricity · MCQ
Q58.When photons of wavelength $λ_{1}$ are incident on an isolated sphere, the corresponding stopping potential is found to be V. When photons of wavelength $λ_{2}$ are used, the corresponding stopping potential was thrice that…
Physics · Dual Nature of Radiation · MCQ
Q59.A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75o. One of the fields has a magnitude of 15 mT. The dipole attains stable equilibrium at an angle of 30o with this field. The magnitude…
Physics · Magnetics · MCQ
Q60.Three capacitors each of 4 $μ$ F are to be connected in such a way that the effective capacitance is 6 $μ$ F. This can be done by connecting them :
Physics · Capacitor · MCQ
Q61.Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude and time period for both particles are same and equal to A and I, respectively. At time t = 0 one particle has…
Physics · Simple Harmonic Motion · MCQ
Q62.The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is :
Physics · Heat and Thermodynamics · MCQ
Q63.200 g water is heated from 40oC to 60oC. Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of water = 4184 J/kg/K) :
Physics · Heat and Thermodynamics · MCQ
Q64.A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and applies a constant frictional force $\frac{W}{20}$ on the car. While moving uphill on the road at a speed of 10 ms−1, the car needs power P. If it…
Physics · Work Power and Energy · MCQ
Q65.A cubical block of side 30 cm is moving with velocity 2 ms−1 on a smooth horizontal surface. The surface has a bump at a point O as shown in figure. The angular velocity (in rad/s) of the block immediately after it hits the bump, is : Includes diagram
Physics · Rotational Motion · MCQ
Q66.In the following ‘I’ refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity :
Physics · Units and Measurements · MCQ
Q67.A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an inclined plane inside the rocket, making an angle $θ$ with the horizontal, a point object of mass m is kept. The…
Physics · Laws of Motion · MCQ
Q68.A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and aplane mirror are arranged as shown. For an object kept at a distance of 60 cm from the convex lens, the final image, formed by the combination, is a real… Includes diagram
Physics · Geometrical Optics · MCQ
Q69.A series LR circuit is connected to a voltage source with V(t) = V0 sin $Ω$ t. After very large time, current I(t) behaves as (t0 >> $\frac{L}{R}$ ) :
Physics · Alternating Current · MCQ
Q70.In the circuit shown, the resistance r is a variable resistance. If for r = fR, the heat generation in r is maximum then the value of f is : Includes diagram
Physics · Current Electricity · MCQ
Q71.Which of the following option correctly describes the variation of the speed v and acceleration ‘a’ of a point mass falling vertically in a viscous medium that applies a force F = − kv, where ‘k’ is a constant, on the body ? (Graphs are…
Physics · Properties of Matter · MCQ
Q72.To know the resistance G of a galvanometer by half deflection method, a battery of emf VE and resistance R is used to deflect the galvanometer by angle $θ$ . If a shunt of resistance S is needed to get half deflection then G, R and S…
Physics · Magnetics · MCQ
Q73.An experiment is performed to determine the I - V characteristics of a Zener diode, which has a protective resistance of R = 100 $Ω$ , and a maximum power of dissipation rating of 1 W. The minimum voltage range of the DC source in the…
Physics · Electronic Devices · MCQ