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2019 · 9 Jan · Shift 1

72 questions · JEE Main

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2019 · 9 Jan · Shift 1

2019 · 9 Jan · Shift 1

72 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics28 questions

Haloalkanes and HaloarenesChemistry · 3 questions Practical Organic ChemistryChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Basics of Organic ChemistryChemistry · 2 questions ElectrochemistryChemistry · 1 questions P Block ElementsChemistry · 1 questions ThermodynamicsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Structure of AtomChemistry · 2 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions BiomoleculesChemistry · 1 questions Sequences and SeriesMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Application of DerivativesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions HyperbolaMathematics · 1 questions Differential EquationsMathematics · 1 questions Complex NumbersMathematics · 2 questions FunctionsMathematics · 1 questions ParabolaMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions StatisticsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Definite IntegrationMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Electronic DevicesPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Current ElectricityPhysics · 2 questions CapacitorPhysics · 1 questions Heat and ThermodynamicsPhysics · 4 questions Electromagnetic WavesPhysics · 1 questions Motion in A PlanePhysics · 1 questions Center of MassPhysics · 2 questions Rotational MotionPhysics · 2 questions MagneticsPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Wave OpticsPhysics · 2 questions WavesPhysics · 1 questions ElectrostaticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Laws of MotionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions

Q1.The major product of the following reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q2.The correct match between Item-I and Item-II is : Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q3.The major product of following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.The compounds A and B in the following reaction are, respectively : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q5.The correct decreasing order for acid strength is :
Chemistry · Basics of Organic Chemistry · MCQ
Q6.Arrange the following amines in the decreasing order of basicity : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.Which amongst the following is the strongest acid ?
Chemistry · Basics of Organic Chemistry · MCQ
Q8.The major product of the following reaction is : Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q9.The anodic half-cell of lead-acid battery is recharged using electricity of 0.05 Faraday. The amount of $P b S O_{4}$ electrolyzed in g during the process is : (Molar mass of $P b S O_{4}$ = 303 g mol $-$ 1)
Chemistry · Electrochemistry · MCQ
Q10.The one that is extensively used as a piezoelectric material is :
Chemistry · P Block Elements · MCQ
Q11.Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1 and T2 (T1 < T2). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is :
Chemistry · Thermodynamics · MCQ
Q12.A solution of sodium sulphate contains 92 g of $N a^{+}$ ions per kilogram of water. The molality of $N a^{+}$ ions in that solution in mol kg $-$ 1 is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q13.The following results were obtained during kinetic studies of the reaction ; 2A + B $\to$ Products The time (in minutes) required to consume half of A is : Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q14.Two complexes $[C r (H_{2} O)_{6}] C l_{3}$ (A) and $[C r (N H_{3})_{6}] C l_{3}$ (B) are violet and yellow coloured, respectively. The incorrect statement regarding them is :
Chemistry · Coordination Compounds · MCQ
Q15.For emission line of atomic hydrogen from ni = 8 to nf = n, the plot of wave number $(\overline{v})$ against $(\frac{1}{n ^{2}})$ will be (The Rydberg constant, RH is in wave number unit)
Chemistry · Structure of Atom · MCQ
Q16.Which one of the following statements regarding Henry's law is not correct ?
Chemistry · Solutions · MCQ
Q17.20 mL of 0.1 M $H_{2} S O_{4}$ solution is added to 30 mL of of 0.2 M $N H_{4} O H$ solution. The pH of the resultant mixture is : [pkb of $N H_{4} O H$ = 4.7].
Chemistry · Ionic Equilibrium · MCQ
Q18.According to molecular orbital theory, which of the following is true with respect to $L i_{2}^{+}$ and $L i_{2}$ $-$ ?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q19.Aluminium is usually found in +3 oxidation state. In contrast, thallium exists in + 1 and + 3 oxidation states. This is due to :
Chemistry · Periodic Table and Periodicity · MCQ
Q20.In general, the properties that decrease and increase down a group in the periodic table, respectively, are :
Chemistry · Periodic Table and Periodicity · MCQ
Q21.The highest value of the calculated spin only magnetic moment (in BM) among all the transition metal complexes is :
Chemistry · Structure of Atom · MCQ
Q22.The increasing order of pka of the following amino acids in aqueous solution is : Gly, Asp, Lys, Arg
Chemistry · Biomolecules · MCQ
Q23.Let $a_{1}, a_{2}, ......., a_{30}$ be an A.P., $S = i = 1 \sum 30 a_{i}$ and $T = i = 1 \sum 15 a_{(2 i - 1)}$ . If $a_{5}$ = 27 and S - 2T = 75, then $a_{10}$ is equal to :
Mathematics · Sequences and Series · MCQ
Q24.If $A = [cos θ sin θ - sin θ cos θ]$ , then the matrix A–50 when $θ$ = $\frac{π}{12}$ , is equal to :
Mathematics · Matrices and Determinants · MCQ
Q25.For any $θ \in (\frac{π}{4}, \frac{π}{2})$ , the expression $3 (cos θ - sin θ)^{4}$ $+ 6 (sin θ + cos θ)^{2} + 4 sin^{6} θ$ equals :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q26.The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a2 – 1) z = a + 1 then
Mathematics · Matrices and Determinants · MCQ
Q27.The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :
Mathematics · Application of Derivatives · MCQ
Q28.If $cos^{- 1} (\frac{2}{3 x}) + cos^{- 1} (\frac{3}{4 x}) = \frac{π}{2}$ (x > $\frac{3}{4}$ ), then x is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q29.Let $0 < θ < \frac{π}{2}$ . If the eccentricity of the hyperbola $\frac{x ^{2}}{c o s ^{2} θ} - \frac{y ^{2}}{s i n ^{2} θ}$ = 1 is greater than 2, then the length of its latus rectum lies in the interval :
Mathematics · Hyperbola · MCQ
Q30.If y = y(x) is the solution of the differential equation, x $\frac{d y}{d x}$ + 2y = x2, satisfying y(1) = 1, then y( $\frac{1}{2}$ ) is equal to :
Mathematics · Differential Equations · MCQ
Q31.Let A = ${θ \in (- \frac{π}{2}, π) : \frac{3 + 2 i s i n θ}{1 - 2 i s i n θ} i s p u r e l y ima g ina r y}$ . Then the sum of the elements in A is :
Mathematics · Complex Numbers · MCQ
Q32.For $x \in R - {0, 1}$ , Let f1(x) = $\frac{1}{x}$ , f2 (x) = 1 – x and f3 (x) = $\frac{1}{1 - x}$ be three given functions. If a function, J(x) satisfies (f2 o J o f1) (x) = f3 (x) then J(x) is equal to :
Mathematics · Functions · MCQ
Q33.Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?
Mathematics · Parabola · MCQ
Q34. $y \to 0 lim \frac{1 + 1 + y ^{4} - 2}{y ^{4}}$
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.If a, b, c be three distinct real numbers in G.P. and a + b + c = xb , then x cannot be
Mathematics · Sequences and Series · MCQ
Q36.5 students of a class have an average height 150 cm and variance 18 cm2. A new student, whose height is 156 cm, joined them. The variance (in cm2) of the height of these six students is :
Mathematics · Statistics · MCQ
Q37.If the fractional part of the number ${\frac{2 ^{403}}{15}} i s \frac{k}{15}$ , then k is equal to :
Mathematics · Binomial Theorem · MCQ
Q38.Let f : R $\to$ R be a function defined as $f (x) = ⎩ ⎨ ⎧ 5 a + b x b + 5 x 30;;;; x \leq 1 1 < x < 3 3 \leq x < 5 x \geq 5$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q39.For x2 $e$ n $π$ + 1, n $\in$ N (the set of natural numbers), the integral $\int x \frac{2 s i n ( x ^{2} - 1 ) - s i n 2 ( x ^{2} - 1 )}{2 s i n ( x ^{2} - 1 ) + s i n 2 ( x ^{2} - 1 )} d x$ is equal to : (where c is a constant of integration)
Mathematics · Indefinite Integrals · MCQ
Q40.Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be the members of the same team, is :
Mathematics · Permutations and Combinations · MCQ
Q41.Let $α$ and $β$ be two roots of the equation x2 + 2x + 2 = 0 , then $α^{15}$ + $β^{15}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q42.The value of $0 \int π ∣ cos x ∣^{3} d x$ is :
Mathematics · Definite Integration · MCQ
Q43.The area (in sq. units) bounded by the parabolae y = x2 – 1, the tangent at the point (2, 3) to it and the y-axis is :
Mathematics · Area Under the Curves · MCQ
Q44.If $θ$ denotes the acute angle between the curves, y = 10 – x2 and y = 2 + x2 at a point of their intersection, the |tan $θ$ | is equal to :
Mathematics · Parabola · MCQ
Q45.Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field. If, for an n-type semiconductor, the density of electrons is 1019 m $-$ 3 and their mobility is 1.6 m2/(V.s) then the…
Physics · Electronic Devices · MCQ
Q46.A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and carrying a current of 5.2 A. The corecivity of the bar magnet is :
Physics · Magnetic Properties of Matter · MCQ
Q47.Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is $υ$ . If the electron density in copper is 9 $\times$ 1028/m3 the value of $υ$ . in mm/s is close to (Take charge of electron to…
Physics · Current Electricity · MCQ
Q48.A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d < < a). The lower triangular portion is filled with a dielectric of dielectric constant K, as shown in the figure. Capacitance of this… Includes diagram
Physics · Capacitor · MCQ
Q49.A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion $α$ /oC. It is observed that an external compressive force F, is applied on each of its ends,…
Physics · Heat and Thermodynamics · MCQ
Q50.A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used 60 J of heat flows into the system and 30 J of work is done by the system. If path ADB is used work done by the system is 10 J. The heat Flow… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q51.A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point in space and time, $E = 6.3 j V / m .$ The corresponding magnetic field $B,$ …
Physics · Electromagnetic Waves · MCQ
Q52.A particle is moving with a velocity $v = K (y i + x j),$ where K is a constant. The general equation for its path is :
Physics · Motion in A Plane · MCQ
Q53.Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m while C has mass M, Block A is given an initial speed $υ$ towards B due to which it collides with B perfectly… Includes diagram
Physics · Center of Mass · MCQ
Q54.If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the Sun, its areal velocity is :
Physics · Rotational Motion · MCQ
Q55.An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is a and distance of its centre from the wire is d (d > > a). If the loop a applies a force F… Includes diagram
Physics · Magnetics · MCQ
Q56.Two masses m and $\frac{m}{2}$ are connected at the two ends of a massless rigid rod of length l. The rod is suspended by a thin wire of torsional constant k, at the centre of mass of the rod-mass system(see figure). Because of torsional… Includes diagram
Physics · Center of Mass · MCQ
Q57.A conducting circular loop made of a thin wire, has area 3.5 $\times$ 10 $-$ 3 m2 and resistance 10 $Ω$ . It is placed perpendicular to a time dependent magnetic field B(t) = (0.4T)sin(50 $π$ t). The field is uniform in space. Then…
Physics · Electromagnetic Induction · MCQ
Q58.A block of mass m, lying on a smooth horizontal surface, is attached to a sring (of negligible mass) of spring constant k. The other end of the spring is fixed, as shown in the figure. The block is initially at rest in its equilibrium… Includes diagram
Physics · Work Power and Energy · MCQ
Q59.A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume remains unchanged is :
Physics · Units and Measurements · MCQ
Q60.Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index $μ$ . A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering the… Includes diagram
Physics · Wave Optics · MCQ
Q61.A heavy ball of mass M is suspendeed from the ceiling of a car by a light string of mass m (m < < M). When the car is at rest, the speed of transverse waves in the string is 60 ms $-$ 1. When the car has acceleration a, the…
Physics · Waves · MCQ
Q62.For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from its center. Then value of h is :
Physics · Electrostatics · MCQ
Q63.Surface of certain metal is first illuminated with light of wavelength $λ$ 1 = 350 nm and then, by light of wavelength $λ$ 2 = 540 nm. It is found that the maximum speed of the photo electrons in the two cases differ by a…
Physics · Dual Nature of Radiation · MCQ
Q64.An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB = BC, and the angle made by AB with downward vertical is $θ$ , thrown : Includes diagram
Physics · Rotational Motion · MCQ
Q65.Temperature difference of 120oC is maintained between ends of a uniform rod AB of length 2L. Another bent rod PQ, of same cross-section as AB and length $\frac{3 L}{2},$ is connected across AB (see figure). In steady state, temperature… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q66.Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16. The intensity of the waves are in the ratio :
Physics · Wave Optics · MCQ
Q67.When the switch S, in the circuit shown, is closed, then the value of current i will be : Includes diagram
Physics · Current Electricity · MCQ
Q68.Three charges + Q, q, + Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis. If the net force experienced by + Q, placed at x = 0, is zero, then value of q is :
Physics · Electrostatics · MCQ
Q69.A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P,… Includes diagram
Physics · Laws of Motion · MCQ
Q70.A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the lens. Now a glass block (refractive index 1.5) of 1.5 cm thickness is placed in contact with the light source. To get the sharp…
Physics · Geometrical Optics · MCQ
Q71.A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point O will be close to : Includes diagram
Physics · Magnetics · MCQ
Q72.A mixture of 2 moles of helium gas (atomic mass = 4 u), and 1 mole of argon gas (atomic mass = 40 u) is kept at 300 K in a container. The ratio of their rms speeds $[\frac{V _{r m s} ( h e l i u m )}{V _{r m s} ( a r g o n )}],$ …
Physics · Heat and Thermodynamics · MCQ