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2020 · 5 Sep · Shift 2

58 questions · JEE Main

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2020 · 5 Sep · Shift 2

2020 · 5 Sep · Shift 2

58 questions · JEE Main

Chemistry18 questions Mathematics17 questions Physics23 questions

Redox ReactionsChemistry · 1 questions ThermodynamicsChemistry · 2 questions BiomoleculesChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Chemical EquilibriumChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Structure of AtomChemistry · 1 questions P Block ElementsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions StatisticsMathematics · 1 questions Differential EquationsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Vector AlgebraMathematics · 1 questions Area Under the CurvesMathematics · 1 questions FunctionsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions CircleMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions DifferentiationMathematics · 1 questions Application of DerivativesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Properties of MatterPhysics · 1 questions Wave OpticsPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Current ElectricityPhysics · 2 questions CapacitorPhysics · 2 questions GravitationPhysics · 1 questions MagneticsPhysics · 1 questions Rotational MotionPhysics · 2 questions Electronic DevicesPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions ElectrostaticsPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Laws of MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions

Q1.The volume, in mL, of 0.02 M $K_{2} C r_{2} O_{7}$ solution required to react with 0.288 g of ferrous oxalate in acidic medium is . (Molar mass of Fe = 56 g mol–1)
Chemistry · Redox Reactions · Numerical
Q2.For a dimerization reaction, 2A(g) $\to$ $A_{2}$ (g) at 298 K, $Δ$ Uo = –20 kJ mol–1, $Δ$ So = –30 JK–1 mol–1, then the $Δ$ Go will be J.
Chemistry · Thermodynamics · Numerical
Q3.The number of chiral carbons present in sucrose is .
Chemistry · Biomolecules · Numerical
Q4.Considering that $Δ$ 0 > P, the magnetic moment (in BM) of $[R u (H_{2} O)_{6}]^{2 +}$ would be .
Chemistry · Coordination Compounds · Numerical
Q5.For a reaction X + Y ⇌ 2Z , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react. At equilibrium, the concentration of Z was 1.0 mol L–1. The equilibrium constant of reaction is $\frac{x}{15}$ . The…
Chemistry · Chemical Equilibrium · Numerical
Q6.The increasing order of boiling points of the following compounds is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q7.The correct order of the ionic radii of $O^{2 -}$ , $N^{3 -}$ , $F^{-}$ , $M g^{2 +}$ , $N a^{+}$ and $A l^{3 +}$ is :
Chemistry · Periodic Table and Periodicity · MCQ
Q8.Consider the complex ions, trans- $[C o (e n)_{2} C l_{2}]^{+}$ (A) and cis- $[C o (e n)_{2} C l_{2}]^{+}$ (B). The correct statement regarding them is :
Chemistry · Coordination Compounds · MCQ
Q9.Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol–1, and 4 kJ mol–1, respectively. The hydration enthalpy of NaCl is :
Chemistry · Thermodynamics · MCQ
Q10.Among the following compounds, geometrical isomerism is exhibited by :
Chemistry · Basics of Organic Chemistry · Multiple correct
Q11.The major product of the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.The final major product of the following reaction is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q13.The variation of molar conductivity with concentration of an electrolyte (X) in aqueous solution is shown in the given figure. The electrolyte X is : Includes diagram
Chemistry · Electrochemistry · MCQ
Q14.The rate constant (k) of a reaction is measured at differenct temperatures (T), and the data are plotted in the given figure. The activation energy of the reaction in kJ mol–1 is : (R is gas constant) Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q15.The compound that has the largest H–M–H bond angle (M = N, O, S, C) is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q16.The correct statement about probability density (except at infinite distance from nucleus) is :
Chemistry · Structure of Atom · MCQ
Q17.Boron and silicon of very high purity can be obtained through :
Chemistry · P Block Elements · MCQ
Q18.The major product formed in the following reaction is : $C H_{3} C H = C H C H (C H_{3})_{2}$ $H B r$
Chemistry · Haloalkanes and Haloarenes · MCQ
Q19.If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the equation :
Mathematics · Statistics · MCQ
Q20.Let y = y(x) be the solution of the differential equation cosx $\frac{d y}{d x}$ + 2ysinx = sin2x, x $\in$ $(0, \frac{π}{2})$ . If y $(\frac{π}{3})$ = 0, then y $(\frac{π}{4})$ is…
Mathematics · Differential Equations · MCQ
Q21.If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms is 243, then the sum of the first 50 terms of this G.P. is :
Mathematics · Sequences and Series · MCQ
Q22.The value of $(\frac{- 1 + i 3}{1 - i})^{30}$ is :
Mathematics · Complex Numbers · MCQ
Q23.If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then $x y z a + y b + y c + y x + a y + b z + c$ …
Mathematics · Matrices and Determinants · MCQ
Q24. $x \to 0 lim \frac{x ( e ^{(1 + x^{2} + x^{4} - 1) / x} - 1 )}{1 + x ^{2} + x ^{4} - 1}$
Mathematics · Limits Continuity and Differentiability · MCQ
Q25.If the system of linear equations x + y + 3z = 0 x + 3y + k2z = 0 3x + y + 3z = 0 has a non-zero solution (x, y, z) for some k $\in$ R, then x + $(\frac{y}{z})$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q26.Let the vectors $a$ , $b$ , $c$ be such that $a = 2$ , $b = 4$ and $c = 4$ . If the…
Mathematics · Vector Algebra · Numerical
Q27.The area (in sq. units) of the region A = {(x, y) : (x – 1)[x] $\leq$ y $\leq$ 2 $x$ , 0 $\leq$ x $\leq$ 2}, where [t] denotes the greatest integer function, is :
Mathematics · Area Under the Curves · MCQ
Q28.Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the number of elements in the set C = {f : A $\to$ B | 2 $\in$ f(A) and f is not one-one} is .
Mathematics · Functions · Numerical
Q29.If L = sin2 $(\frac{π}{16})$ - sin2 $(\frac{π}{8})$ and M = cos2 $(\frac{π}{16})$ - sin2 $(\frac{π}{8})$ , then :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q30.If $\int \frac{c o s θ}{5 + 7 s i n θ - 2 c o s ^{2} θ} d θ$ = A $lo g_{e} ∣ B (θ) ∣ + C$ , where C is a constant of integration, then $\frac{B ( θ )}{A}$ can be :
Mathematics · Indefinite Integrals · MCQ
Q31.If the length of the chord of the circle, x2 + y2 = r2 (r > 0) along the line, y – 2x = 3 is r, then r2 is equal to :
Mathematics · Circle · MCQ
Q32.If $α$ and $β$ are the roots of the equation, 7x2 – 3x – 2 = 0, then the value of $\frac{α}{1 - α ^{2}} + \frac{β}{1 - β ^{2}}$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.The derivative of $tan^{- 1} (\frac{1 + x ^{2} - 1}{x})$ with respect to $tan^{- 1} (\frac{2 x 1 - x ^{2}}{1 - 2 x ^{2}})$ at x = $\frac{1}{2}$ is :
Mathematics · Differentiation · MCQ
Q34.If x = 1 is a critical point of the function f(x) = (3x2 + ax – 2 – a)ex , then :
Mathematics · Application of Derivatives · MCQ
Q35.There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one question from each section. Then the number of ways, in which the candidate can choose…
Mathematics · Permutations and Combinations · MCQ
Q36.Nitrogen gas is at 300oC temperature. The temperature (in K) at which the rms speed of a H2 molecule would be equal to the rms speed of a nitrogen molecule, is . (Molar mass of N2 gas 28 g).
Physics · Heat and Thermodynamics · Numerical
Q37.In an experiment to verify Stokes law, a small spherical ball of radius r and density $ρ$ falls under gravity through a distance h in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its…
Physics · Properties of Matter · MCQ
Q38.Two coherent sources of sound, S1 and S2, produce sound waves of the same wavelength, $λ$ = 1 m, in phase. S1 and S2 are placed 1.5 m apart (see fig). A listener, located at L, directly in front of S2 finds that the intensity is at a… Includes diagram
Physics · Wave Optics · MCQ
Q39.The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is : Includes diagram
Physics · Motion in A Straight Line · MCQ
Q40.A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of 6 mA it produces a deflection of 2o, its figure of merit is close to :
Physics · Current Electricity · MCQ
Q41.A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a battery of emf V. A dielectric slab of the same thickness ‘d’ and of dielectric constant k = 4 is being inserted between…
Physics · Capacitor · MCQ
Q42.The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axis passing through the pole is $ω$ . An object is weighed at the equator and at a height h above the poles by using…
Physics · Gravitation · MCQ
Q43.In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas is found to be n times the initial pressure. The value of n is :
Physics · Heat and Thermodynamics · MCQ
Q44.An iron rod of volume 10–3 m3 and relative permeability 1000 is placed as core in a solenoid with 10 turns/cm. If a current of 0.5 A is passed through the solenoid, then the magnetic moment of the rod will be :
Physics · Magnetics · MCQ
Q45.A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it can freely oscillate in the vertical plane. A particle of move 0.1 kg moving in a straight line with velocity 80 m/s hits the rod at its bottom most… Includes diagram
Physics · Rotational Motion · Numerical
Q46.In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential at point B with respect to the point A is : Includes diagram
Physics · Current Electricity · MCQ
Q47.Two Zener diodes (A and B) having breakdown voltages of 6 V and 4 V respectively, are connected as shown in the circuit below. The output voltage V0 variation with input voltage linearly increasing with time, is given by : (Vinput = 0 V at… Includes diagram
Physics · Electronic Devices · MCQ
Q48.Two different wires having lengths L1 and L2, and respective temperature coefficient of linear expansion $α$ 1 and $α$ 2, are joined end-to-end. Then the effective temperature coefficient of linear expansion is :
Physics · Heat and Thermodynamics · MCQ
Q49.The correct match between the entries in column I and column II are : Includes table
Physics · Electromagnetic Waves · MCQ
Q50.Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1, 3, 5, 7, 9 have charge (+q) each, while 2, 4, 6, 8, 10 have charge (–q) each. The…
Physics · Electrostatics · MCQ
Q51.The quantities x = $\frac{1}{μ _{0} ε _{0}}$ , y = $\frac{E}{B}$ and z = $\frac{l}{C R}$ are defined where C-capacitance, R-Resistance, l-length, E-Electric field, B-magnetic field and $ε_{0}$ , ${{\mu…
Physics · Units and Measurements · MCQ
Q52.A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period T1 and, (ii) back and forth in a direction perpendicular to its plane, with a period T2. The ratio $\frac{T _{1}}{T _{2}}$ will…
Physics · Rotational Motion · MCQ
Q53.A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $\frac{d M ( t )}{d t}$ = bv2(t), where v(t) is its instantaneous velocity. The instantaneous acceleration of the satellite…
Physics · Laws of Motion · MCQ
Q54.A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in a straight line. After 9 seconds, the body has moved a distance (in m) .
Physics · Work Power and Energy · Numerical
Q55.The surface of a metal is illuminated alternately with photons of energies E1 = 4 eV and E2 = 2.5 eV respectively. The ratio of maximum speeds of the photoelectrons emitted in the two cases is 2. The work function of the metal in (eV) is …
Physics · Dual Nature of Radiation · Numerical
Q56.A prism of angle A = 1o has a refractive index $μ$ = 1.5. A good estimate for the minimum angle of deviation (in degrees) is close to $\frac{N}{10}$ . Value of N is .
Physics · Geometrical Optics · Numerical
Q57.In the circuit shown, charge on the 5 $μ$ F capacitor is : Includes diagram
Physics · Capacitor · MCQ
Q58.An infinitely long, straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown, in the figure. The connector has length $l$ and resistance R. It… Includes diagram
Physics · Electromagnetic Induction · MCQ