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2016 · 10 Apr · Shift 1

66 questions · JEE Main

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2016 · 10 Apr · Shift 1

2016 · 10 Apr · Shift 1

66 questions · JEE Main

Chemistry20 questions Mathematics22 questions Physics24 questions

BiomoleculesChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions HydrocarbonsChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions ElectrochemistryChemistry · 2 questions SolutionsChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions P Block ElementsChemistry · 1 questions Redox ReactionsChemistry · 1 questions Sequences and SeriesMathematics · 2 questions Permutations and CombinationsMathematics · 2 questions Binomial TheoremMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Definite IntegrationMathematics · 2 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 1 questions 3D GeometryMathematics · 1 questions HyperbolaMathematics · 1 questions Differential EquationsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Indefinite IntegralsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Electromagnetic WavesPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Center of MassPhysics · 2 questions Work Power and EnergyPhysics · 2 questions Properties of MatterPhysics · 2 questions Geometrical OpticsPhysics · 2 questions Laws of MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Electromagnetic InductionPhysics · 2 questions ElectrostaticsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Current ElectricityPhysics · 2 questions GravitationPhysics · 1 questions Rotational MotionPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Electronic DevicesPhysics · 1 questions CapacitorPhysics · 1 questions

Q1.Observation of “Rhumann’s purple” is a confirmatory test for the presence of :
Chemistry · Biomolecules · MCQ
Q2.The “N” which does not contribute to the basicity for the compound is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q3.Fluorination of an aromatic ring is easily accomplished by treating a diazonium salt with $H B F_{4}$ . Which of the following conditions is correct about this reaction ?
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.The correct statement about the synthesis of erythritol ( $C (C H_{2} O H)_{4}$ ) used in the preparation of PETN is :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.Which one of the following reagents is not suitable for the elimination reaction ? Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q6.Consider the reaction sequence below : X is: Includes diagram
Chemistry · Hydrocarbons · MCQ
Q7.Bromination of cyclohexene under conditions given below yields : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Sodium extract is heated with concentrated $H N O_{3}$ before testing for halogens because :
Chemistry · Practical Organic Chemistry · MCQ
Q9.The transition metal ions responsible for color in ruby and emerald are, respectively :
Chemistry · D and F Block Elements · MCQ
Q10.Which of the following is an example of homoleptic complex?
Chemistry · Coordination Compounds · MCQ
Q11.Identify the correct statement :
Chemistry · Electrochemistry · MCQ
Q12.An aqueous solution of a salt $M X_{2}$ at certain temperature has a van’t Hoff factor of 2. The degree of dissociation for this solution of the salt is :
Chemistry · Solutions · MCQ
Q13.The following statements concern elements in the periodic table. Which of the following is true ?
Chemistry · Periodic Table and Periodicity · MCQ
Q14.The rate law for the reaction below is given by the expression k [A] [B] A + B $\to$ Product If the concentration of B is increased from 0.1 to 0.3 mole, keeping the value of A at 0.1 mole, the rate constant will be :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q15.A solid XY kept in an evacuated sealed container undergoes decomposition to form a mixture of gases X and Y at temperature T. The equilibrium pressure is 10 bar in this vessel. Kp for this reaction is :
Chemistry · Chemical Equilibrium · MCQ
Q16.Oxidation of succinate ion produces ethylene and carbon dioxide gases. On passing 0.2 Faraday electricity through an aqueous solution of potassium succinate, the total volume of gases (at both cathode and anode) at STP (1 atm and 273 K) is…
Chemistry · Electrochemistry · MCQ
Q17.If 100 mole of $H_{2} O_{2}$ decompose at 1 bar and 300 K, the work done (kJ) by one mole of $O_{2}$ (g) as it expands against 1 bar pressure is : 2 $H_{2} O_{2}$ (l) $⇌$ 2 $H_{2} O$ (l) + $O_{2}$ (g) (R = 8.3 J K $-$ 1 mol $-$ 1)
Chemistry · Thermodynamics · MCQ
Q18.The bond angle H - X - H is the greatest in the compound :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q19.Aqueous solution of which salt will not contain ions with the electronic configuration 1s22s22p63s23p6 ?
Chemistry · P Block Elements · MCQ
Q20.The volume of 0.1N dibasic acid sufficient to neutralize 1 g of a base that furnishes 0.04 mole of OH− in aqueous solution is :
Chemistry · Redox Reactions · MCQ
Q21.Let a1, a2, a3, . . . . . . . , an, . . . . . be in A.P. If a3 + a7 + a11 + a15 = 72, then the sum of its first 17 terms is equal to :
Mathematics · Sequences and Series · MCQ
Q22.If $\frac{^{n + 2} C _{6}}{^{n - 2} P _{2}}$ = 11, then n satisfies the equation :
Mathematics · Permutations and Combinations · MCQ
Q23.If the coefficients of x−2 and x−4 in the expansion of $(x^{\frac{1}{3}} + \frac{1}{2 x ^{\frac{1}{3}}})^{18}, (x > 0),$ are m and n respectively, then $\frac{m}{n}$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q24.If A = $[- 4 3 - 1 1]$ , then the determinant of the matrix (A2016 − 2A2015 − A2014) is :
Mathematics · Matrices and Determinants · MCQ
Q25.Let A be a 3 $\times$ 3 matrix such that A2 $-$ 5A + 7I = 0 Statement - I : A $-$ 1 = $\frac{1}{7}$ (5I $-$ A). Statement - II : The polynomial A3 $-$ 2A2 $-$ 3A + I can be reduced to 5(A $-$ 4I). Then :
Mathematics · Matrices and Determinants · MCQ
Q26.If x is a solution of the equation, $2 x + 1 - 2 x - 1 = 1,$ $(x \geq \frac{1}{2}),$ then $4 x^{2} - 1$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q27.Let P = { $θ$ : sin $θ -$ cos $θ$ = $2 cos θ$ } and Q = { $θ$ : sin $θ$ + cos $θ$ = $2 sin θ$ } be two sets. Then
Mathematics · Sets and Relations · MCQ
Q28.The sum $r = 1 \sum 10 (r^{2} + 1) \times (r!)$ is equal to :
Mathematics · Permutations and Combinations · MCQ
Q29.For x $\in$ R, x $e$ 0, if y(x) is a differentiable function such that x $1 \int x y$ (t) dt = (x + 1) $1 \int x t y$ (t) dt, then y (x) equals : (where C is a constant.)
Mathematics · Definite Integration · MCQ
Q30.If A > 0, B > 0 and A + B = $\frac{π}{6}$ , then the minimum value of tanA + tanB is :
Mathematics · Sequences and Series · MCQ
Q31.The mean of 5 observations is 5 and their variance is 124. If three of the observations are 1, 2 and 6 ; then the mean deviation from the mean of the data is :
Mathematics · Statistics · MCQ
Q32.Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are $a, b, c$ and $\frac{a + b + c}{4}$ …
Mathematics · Vector Algebra · MCQ
Q33.ABC is a triangle in a plane with vertices A(2, 3, 5), B(−1, 3, 2) and C( $λ$ , 5, $μ$ ). If the median through A is equally inclined to the coordinate axes, then the value of ( $λ$ 3 + $μ$ 3 + 5) is :
Mathematics · 3D Geometry · MCQ
Q34.A hyperbola whose transverse axis is along the major axis of the conic, $\frac{x ^{2}}{3} + \frac{y ^{2}}{4} = 4$ and has vertices at the foci of this conic. If the eccentricity of the hyperbola is $\frac{3}{2},$ then which of the…
Mathematics · Hyperbola · MCQ
Q35.The solution of the differential equation $\frac{d y}{d x} + \frac{y}{2} sec x = \frac{t a n x}{2 y},$ where 0 $\leq$ x < $\frac{π}{2}$ , and y (0) = 1, is given by :
Mathematics · Differential Equations · MCQ
Q36.A straight line through origin O meets the lines 3y = 10 − 4x and 8x + 6y + 5 = 0 at points A and B respectively. Then O divides the segment AB in the ratio :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q37.A ray of light is incident along a line which meets another line, 7x − y + 1 = 0, at the point (0, 1). The ray is then reflected from this point along the line, y + 2x = 1. Then the equation of the line of incidence of the ray of light is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q38.The value of the integral $4 \int 10 \frac{[ x ^{2} ] d x}{[ x ^{2} - 28 x + 196 ] + [ x ^{2} ]},$ where [x] denotes the greatest integer less than or equal to x, is :
Mathematics · Definite Integration · MCQ
Q39.The integral $\int \frac{d x}{( 1 + x ) x - x ^{2}}$ is equal to : (where C is a constant of integration.)
Mathematics · Indefinite Integrals · MCQ
Q40.Let f(x) = sin4x + cos4 x. Then f is an increasing function in the interval :
Mathematics · Application of Derivatives · MCQ
Q41.Let a, b $\in$ R, (a $e$ 0). If the function f defined as $f (x) = ⎩ ⎨ ⎧ \frac{2 x ^{2}}{a}, a, \frac{2 b ^{2} - 4 b}{x ^{3}}, 0 \leq x < 1 1 \leq x < 2 2 \leq x < \infty$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q42. $x \to 0 lim \frac{( 1 - c o s 2 x ) ^{2}}{2 x t a n x - x t a n 2 x}$ is :
Mathematics · Limits Continuity and Differentiability · MCQ
Q43.Consider an electromagnetic wave propagating in vacuum. Choose the correct statement :
Physics · Electromagnetic Waves · MCQ
Q44.Which of the following shows the correct relationship between the pressure ‘P’ and density $ρ$ of an ideal gas at constant temperature ?
Physics · Heat and Thermodynamics · MCQ
Q45.In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertically below point A, then $\frac{B C}{A B}$ is close to : Includes diagram
Physics · Center of Mass · MCQ
Q46.Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds of the motion is : Includes diagram
Physics · Work Power and Energy · MCQ
Q47.A thin 1 m long rod has a radius of 5 mm. A force of 50 $π$ kN is applied at one end to determine its Young’s modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is 0.01 mm, which of the…
Physics · Properties of Matter · MCQ
Q48.To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are :
Physics · Geometrical Optics · MCQ
Q49.A particle of mass m is acted upon by a force F given by the empirical law F = $\frac{R}{t ^{2}} v (t) .$ If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :
Physics · Laws of Motion · MCQ
Q50.A neutron moving with a speed ‘v’ makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which inelastic collision will take place is :
Physics · Center of Mass · MCQ
Q51.Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wavelength of light is 600 nm. To see the stars just resolved by the telescope, the minimum distance between them should…
Physics · Wave Optics · MCQ
Q52.A photoelectric surface is illuminated successively by monochromatic light of wavelengths $λ$ and $\frac{λ}{2} .$ If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case,…
Physics · Dual Nature of Radiation · MCQ
Q53.A bottle has an opening of radius a and length b. A cork of length b and radius (a + $Δ$ a) where ( $Δ$ a < < a) is compressed to fit into the opening completely (See figure). If the bulk modulus of cork is B and frictional… Includes diagram
Physics · Properties of Matter · MCQ
Q54.A conducting metal circular-wire-loop of radius r is placed perpendicular to a magnetic field which varies with time as B = B0e $^{\frac{- t}{r}}$ , where B0 and $τ$ are constants, at time t = 0. If the resistance of the loop is R…
Physics · Electromagnetic Induction · MCQ
Q55.Within a spherical charge distribution of charge density $ρ$ (r), N equipotential surfaces of potential V0, V0 + $Δ$ V, V0 + 2 $Δ$ V, .......... V0 + N $Δ$ V ( $Δ$ V > 0), are drawn and have increasing radii r0, r1,…
Physics · Electrostatics · MCQ
Q56.In an engine the piston undergoes vertical simple harmonic motion with amplitude 7 cm. A washer rests on top of the piston and moves with it. The motor speed is slowly increased. The frequency of the piston at which the washer no longer…
Physics · Simple Harmonic Motion · MCQ
Q57.The resistance of an electrical toaster has a temperature dependence given by R(T) = R0 [1 + $α$ (T − T0)] in its range of operation. At T0 = 300 K, R = 100 $Ω$ and at T = 500 K, R = 120 $Ω$ . The toaster is connected to a…
Physics · Current Electricity · MCQ
Q58.An astronaut of mass m is working on a satellite orbiting the earth at a distance h from the earth’s surface. The radius of the earth is R, while its mass is M. The gravitational pull FG on the astronaut is :
Physics · Gravitation · Multiple correct
Q59.Concrete mixture is made by mixing cement, stone and sand in a rotating cylindrical drum. If the drum rotates too fast, the ingredients remain stuck to the wall of the drum and proper mixing of ingredients does not take place. The maximum…
Physics · Rotational Motion · MCQ
Q60.A, B, C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD = C ln (BD) holds true. Then which of the combination is not a meaningful quantity ?
Physics · Units and Measurements · Multiple correct
Q61.A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n2 R t2 where n is a constant. The power delivered to the particle by the force acting on it, is :
Physics · Work Power and Energy · MCQ
Q62.A galvanometer has a 50 division scale. Battery has no internal resistance. It is found that there is deflection of 40 divisions when R = 2400 $Ω$ . Deflection becomes 20 divisions when resistance taken from resistance box is 4900 $Ω$ … Includes diagram
Physics · Current Electricity · MCQ
Q63.To get an output of 1 from the circuit shown in figure the input must be : Includes diagram
Physics · Electronic Devices · MCQ
Q64.Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance C if the equivalent capacitance between point A and B is to be 1 $μ$ F is : Includes diagram
Physics · Capacitor · MCQ
Q65.Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed ‘v’ in a uniform magnetic field B going into the plane of the paper (See figure). If charge densities $σ$ 1 and $σ$ 2 are induced on the… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q66.A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubble is 6 cm below the flat surface inside it along the axis. The position of the image of the air bubble made by the… Includes diagram
Physics · Geometrical Optics · MCQ