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2021 · 20 Jul · Shift 2

72 questions · JEE Main

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2021 · 20 Jul · Shift 2

2021 · 20 Jul · Shift 2

72 questions · JEE Main

Chemistry24 questions Mathematics21 questions Physics27 questions

Basics of Organic ChemistryChemistry · 2 questions Compounds Containing NitrogenChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions Structure of AtomChemistry · 2 questions HydrocarbonsChemistry · 3 questions Coordination CompoundsChemistry · 3 questions BiomoleculesChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Salt AnalysisChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions 3D GeometryMathematics · 1 questions Definite IntegrationMathematics · 3 questions FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 3 questions ProbabilityMathematics · 1 questions Application of DerivativesMathematics · 1 questions Differential EquationsMathematics · 2 questions StatisticsMathematics · 1 questions ParabolaMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions Vector AlgebraMathematics · 2 questions LogarithmMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Center of MassPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions GravitationPhysics · 2 questions Wave OpticsPhysics · 1 questions Properties of MatterPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Alternating CurrentPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Simple Harmonic MotionPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions Rotational MotionPhysics · 3 questions Units and MeasurementsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Vector AlgebraPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions Electronic DevicesPhysics · 2 questions Laws of MotionPhysics · 1 questions Current ElectricityPhysics · 1 questions

Q1.Which one of the following pairs of isomers is an example of metamerism?
Chemistry · Basics of Organic Chemistry · MCQ
Q2.In the above reactions, product A and product B respectively are : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q3.The major product (P) in the following reaction is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.A solution is 0.1 M in Cl $-$ and 0.001 M in CrO $_{4}^{2 -}$ . Solid $A g N O_{3}$ is gradually added to it. Assuming that the addition does not change in volume and Ksp( $A g C l$ ) = 1.7 $\times$ 10 $-$ 10 M2 and Ksp( $A g_{2} C r O_{4}$ ) = 1.9 $\times$ 10 $-$ …
Chemistry · Ionic Equilibrium · MCQ
Q5.Outermost electronic configuration of a group 13 element, E, is 4s2, 4p1. The electronic configuration of an element of p-block period-five placed diagonally to element, E is :
Chemistry · Structure of Atom · MCQ
Q6.Metallic sodium does not react normally with :
Chemistry · Hydrocarbons · MCQ
Q7.Spin only magnetic moment of an octahedral complex of $F e^{2 +}$ in the presence of a strong field ligand in BM is :
Chemistry · Coordination Compounds · MCQ
Q8.Which one of the following species doesn't have a magnetic moment of 1.73 BM, (spin only value)?
Chemistry · Coordination Compounds · MCQ
Q9.Which one of the following statements is not true about enzymes?
Chemistry · Biomolecules · MCQ
Q10.The hybridisations of the atomic orbitals of nitrogen in NO $_{2}^{-}$ , NO $_{2}^{+}$ and NH $_{4}^{+}$ respectively are.
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q11.Benzene on nitration gives nitrobenzene in presence of $H N O_{3}$ and $H_{2} S O_{4}$ mixture, where :
Chemistry · Hydrocarbons · MCQ
Q12.Consider the above reaction, compound B is : Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q13.Major product P of above reaction, is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q14. $C u^{2 +}$ salt reacts with potassium iodide to give
Chemistry · Salt Analysis · MCQ
Q15.In Carius method, halogen containing organic compound is heated with fuming nitric acid in the presence of :
Chemistry · Practical Organic Chemistry · MCQ
Q16.The correct order of their reactivity towards hydrolysis at room temperature is : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q17.For a given chemical reaction A $\to$ B at 300 K the free energy change is $-$ 49.4 kJ mol $-$ 1 and the enthalpy of reaction is 51.4 kJ mol $-$ 1. The entropy change of the reaction is JK $-$ 1 mol $-$ 1.
Chemistry · Thermodynamics · Numerical
Q18.The wavelength of electrons accelerated from rest through a potential difference of 40 kV is x $\times$ 10 $-$ 12 m. The value of x is . (Nearest integer) Give : Mass of electron = 9.1 $\times$ 10 $-$ 31 kg Charge…
Chemistry · Structure of Atom · Numerical
Q19.The vapour pressures of A and B at 25 $^{\circ}$ C are 90 mm Hg and 15 mm Hg respectively. If A and B are mixed such that the mole fraction of A in the mixture is 0.6, then the mole fraction of B in the vapour phase is x $\times$ 10 $-$ 1.…
Chemistry · Solutions · Numerical
Q20.4g equimolar mixture of $N a O H$ and $N a_{2} C O_{3}$ contains x g of $N a O H$ and y g of $N a_{2} C O_{3}$ . The value of x is g. (Nearest integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q21.When 0.15 g of an organic compound was analyzed using Carius method for estimation of bromine, 0.2397 g of AgBr was obtained. The percentage of bromine in the organic compound is . (Nearest integer) [Atomic mass :…
Chemistry · Basics of Organic Chemistry · Numerical
Q22. $P C l_{5} (g) \to P C l_{3} (g) + C l_{2} (g)$ In the above first order reaction the concentration of $P C l_{5}$ reduces from initial concentration 50 mol L $-$ 1 to 10 mol L $-$ 1 in 120 minutes at 300 K. The rate constant for the reaction at 300 K…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.An aqueous solution of $N i C l_{2}$ was heated with excess sodium cyanide in presence of strong oxidizing agent to form $[N i (C N)_{6}]^{2 -}$ . The total change in number of unpaired electrons on metal centre is .
Chemistry · Coordination Compounds · Numerical
Q24.Potassium chlorate is prepared by electrolysis of $K C l$ in basic solution as shown by following equation. 6 $O H^{-}$ + $C l^{-} \to$ $C l O_{3}^{-}$ + 3 $H_{2} O$ + 6 $e^{-}$ A current of xA has to be passed for 10h to produce 10.0g of potassium chlorate. The…
Chemistry · Electrochemistry · Numerical
Q25.The value of $tan (2 tan^{- 1} (\frac{3}{5}) + sin^{- 1} (\frac{5}{13}))$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q26.The lines x = ay $-$ 1 = z $-$ 2 and x = 3y $-$ 2 = bz $-$ 2, (ab $e$ 0) are coplanar, if :
Mathematics · 3D Geometry · MCQ
Q27.If [x] denotes the greatest integer less than or equal to x, then the value of the integral $\int_{- π /2}^{π /2} [[x] - sin x] d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q28.If the real part of the complex number $(1 - cos θ + 2 i sin θ)^{- 1}$ is $\frac{1}{5}$ for $θ \in (0, π)$ , then the value of the integral $\int_{0}^{θ} sin x d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q29.Let $f : R - {\frac{α}{6}} \to R$ be defined by $f (x) = \frac{5 x + 3}{6 x - α}$ . Then the value of $α$ for which (fof)(x) = x, for all $x \in R - {\frac{α}{6}}$ , is :
Mathematics · Functions · MCQ
Q30.If $f : R \to R$ is given by $f (x) = x + 1$ , then the value of $n \to \infty lim \frac{1}{n} [f (0) + f (\frac{5}{n}) + f (\frac{10}{n}) + ...... + f (\frac{5 ( n - 1 )}{n})]$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q31.Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 $-$ k), the probability that exactly one of B and C occurs is (1 $-$ 2k), the probability that exactly one of C and A occurs is (1 $-$ k) and…
Mathematics · Probability · MCQ
Q32.The sum of all the local minimum values of the twice differentiable function f : R $\to$ R defined by $f (x) = x^{3} - 3 x^{2} - \frac{3 f ^{''} ( 2 )}{2} x + f^{''} (1)$ is :
Mathematics · Application of Derivatives · MCQ
Q33.Let y = y(x) satisfies the equation $\frac{d y}{d x} - ∣ A ∣ = 0$ , for all x > 0, where $A = y 02 sin x - 1 0 11 \frac{1}{x}$ . If $y (π) = π + 2$ …
Mathematics · Differential Equations · MCQ
Q34.If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and $\frac{20}{3}$ , respectively, then the value of | a $-$ b | is equal to :
Mathematics · Statistics · MCQ
Q35.Let $g (t) = \int_{- π /2}^{π /2} cos (\frac{π}{4} t + f (x)) d x$ , where $f (x) = lo g_{e} (x + x^{2} + 1), x \in R$ . Then which one of the following is correct?
Mathematics · Definite Integration · MCQ
Q36.Let P be a variable point on the parabola $y = 4 x^{2} + 1$ . Then, the locus of the mid-point of the point P and the foot of the perpendicular drawn from the point P to the line y = x is :
Mathematics · Parabola · MCQ
Q37.The value of k $\in$ R, for which the following system of linear equations 3x $-$ y + 4z = 3, x + 2y $-$ 3z = $-$ 2 6x + 5y + kz = $-$ 3, has infinitely many solutions, is :
Mathematics · Matrices and Determinants · MCQ
Q38.In a triangle ABC, if $B C = 3$ , $C A = 5$ and $B A = 7$ , then the projection of the vector $B A$ on $B C$ …
Mathematics · Vector Algebra · MCQ
Q39.The number of solutions of the equation $lo g_{(x + 1)} (2 x^{2} + 7 x + 5) + lo g_{(2 x + 5)} (x + 1)^{2} - 4 = 0$ , x > 0, is :
Mathematics · Logarithm · Numerical
Q40.Let a curve y = y(x) be given by the solution of the differential equation $cos (\frac{1}{2} cos^{- 1} (e^{- x})) d x = e^{2 x} - 1 d y$ . If it intersects y-axis at y = $-$ 1, and the intersection point of…
Mathematics · Differential Equations · Numerical
Q41.For p > 0, a vector $v_{2} = 2 i + (p + 1) j$ is obtained by rotating the vector $v_{1} = 3 p i + j$ by an angle $θ$ about origin in counter clockwise…
Mathematics · Vector Algebra · Numerical
Q42.Consider a triangle having vertices A( $-$ 2, 3), B(1, 9) and C(3, 8). If a line L passing through the circum-centre of triangle ABC, bisects line BC, and intersects y-axis at point $(0, \frac{α}{2})$ , then the value of…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q43.If the point on the curve y2 = 6x, nearest to the point $(3, \frac{3}{2})$ is ( $α$ , $β$ ), then 2( $α$ + $β$ ) is equal to .
Mathematics · Parabola · Numerical
Q44.Let a function $g : [0, 4] \to R$ be defined as $g (x) = {0 \leq t \leq x max {t^{3} - 6 t^{2} + 9 t - 3} 4 - x 0 \leq x \leq 3 3 < x \leq 4$ then the number of…
Mathematics · Limits Continuity and Differentiability · Numerical
Q45.If $x \to 0 lim \frac{α x e ^{x} - β l o g _{e} ( 1 + x ) + γ x ^{2} e ^{- x}}{x s i n ^{2} x} = 10, α, β, γ \in R$ , then the value of $α$ + $β$ + $γ$ is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q46.If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its momentum will be :
Physics · Center of Mass · MCQ
Q47.A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1. If he remains stationary on a moving escalator then the escalator takes him up in time t2. The time taken by him to…
Physics · Motion in A Straight Line · MCQ
Q48.A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circular orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is :
Physics · Gravitation · MCQ
Q49.With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890 $A o$ is observed at 5896 $A o$ ?
Physics · Wave Optics · MCQ
Q50.The length of a metal wire is l1, when the tension in it is T1 and is l2 when the tension is T2. The natural length of the wire is :
Physics · Properties of Matter · MCQ
Q51.In an electromagnetic wave the electric field vector and magnetic field vector are given as $E = E_{0} i$ and $B = B_{0} k$ respectively. The direction of propagation of electromagnetic wave…
Physics · Electromagnetic Waves · MCQ
Q52.For a series LCR circuit with R = 100 $Ω$ , L = 0.5 mH and C = 0.1 pF connected across 220V $-$ 50 Hz AC supply, the phase angle between current and supplied voltage and the nature of the circuit is :
Physics · Alternating Current · MCQ
Q53.Which of the following graphs represent the behavior of an ideal gas? Symbols have their usual meaning.
Physics · Heat and Thermodynamics · MCQ
Q54.A particle is making simple harmonic motion along the X-axis. If at a distances x1 and x2 from the mean position the velocities of the particle are v1 and v2 respectively. The time period of its oscillation is given as :
Physics · Simple Harmonic Motion · MCQ
Q55.An electron having de-Broglie wavelength $λ$ is incident on a target in a X-ray tube. Cut-off wavelength of emitted X-ray is :
Physics · Dual Nature of Radiation · MCQ
Q56.A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic energy. The body is :
Physics · Rotational Motion · MCQ
Q57.If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) in terms of t, v and l is :
Physics · Units and Measurements · MCQ
Q58.The correct relation between the degrees of freedom f and the ratio of specific heat $γ$ is :
Physics · Heat and Thermodynamics · MCQ
Q59.Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA an rB, respectively. If TA and TB are the time period of star A and star B, respectively, Then :
Physics · Gravitation · MCQ
Q60.A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :
Physics · Work Power and Energy · MCQ
Q61.Two vectors $P$ and $Q$ have equal magnitudes. If the magnitude of $P + Q$ is n times the magnitude of $P - Q$ , then angle between $P$ …
Physics · Vector Algebra · MCQ
Q62.Two small drops of mercury each of radius R coalesce to form a single large drop. The ratio of total surface energy before and after the change is :
Physics · Properties of Matter · MCQ
Q63.The magnetic susceptibility of a material of a rod is 499. Permeability in vacuum is 4 $π \times$ 10 $-$ 7 H/m. Absolute permeability of the material of the rod is :
Physics · Magnetic Properties of Matter · MCQ
Q64.A zener diode having zener voltage 8 V and power dissipation rating of 0.5 W is connected across a potential divider arranged with maximum potential drop across zener diode is as shown in the diagram. The value of protective resistance Rp… Includes diagram
Physics · Electronic Devices · Numerical
Q65.A body of mass 'm' is launched up on a rough inclined plane making an angle of 30 $^{\circ}$ with the horizontal. The coefficient of friction between the body and plane is $\frac{x}{5}$ if the time of ascent is half of the time of…
Physics · Laws of Motion · Numerical
Q66.In the given figure switches S1 and S2 are in open condition. The resistance across ab when the switches S1 and S2 are closed is $Ω$ . Includes diagram
Physics · Current Electricity · Numerical
Q67.Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The radii of the bodies are same. The ratio of velocity of the centre of mass at the bottom of the inclined plane of the ring to…
Physics · Rotational Motion · Numerical
Q68.For the forward biased diode characteristics shown in the figure, the dynamic resistance at ID = 3 mA will be $Ω$ . Includes diagram
Physics · Electronic Devices · Numerical
Q69.A series LCR circuit of R = 5 $Ω$ , L = 20 mH and C = 0.5 $μ$ F is connected across an AC supply of 250 V, having variable frequency. The power dissipated at resonance condition is $\times$ 102 W.
Physics · Alternating Current · Numerical
Q70.One mole of an ideal gas at 27 $^{\circ}$ is taken from A to B as shown in the given PV indicator diagram. The work done by the system will be $\times$ 10 $-$ 1 J. [Given : R = 8.3 J/mole K, ln2 = 0.6931] (Round off… Includes diagram
Physics · Heat and Thermodynamics · Numerical
Q71.A certain metallic surface is illuminated by monochromatic radiation of wavelength $λ$ . The stopping potential for photoelectric current for this radiation is 3V0. If the same surface is illuminated with a radiation of wavelength 2 $λ$ …
Physics · Dual Nature of Radiation · Numerical
Q72.A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is .
Physics · Rotational Motion · Numerical