New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2020 · 8 Jan · Shift 2

60 questions · JEE Main

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Papers
2020 · 8 Jan · Shift 2

2020 · 8 Jan · Shift 2

60 questions · JEE Main

Chemistry19 questions Mathematics17 questions Physics24 questions

Alcohols Phenols and EthersChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions HydrocarbonsChemistry · 3 questions Coordination CompoundsChemistry · 3 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Structure of AtomChemistry · 2 questions BiomoleculesChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions P Block ElementsChemistry · 1 questions Application of DerivativesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions ProbabilityMathematics · 1 questions StatisticsMathematics · 1 questions Definite IntegrationMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Binomial TheoremMathematics · 1 questions FunctionsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Vector AlgebraMathematics · 1 questions CapacitorPhysics · 1 questions Electronic DevicesPhysics · 1 questions Motion in A PlanePhysics · 1 questions ElectrostaticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Rotational MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Center of MassPhysics · 2 questions MagneticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions WavesPhysics · 1 questions Properties of MatterPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Current ElectricityPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 1 questions GravitationPhysics · 2 questions Atoms and NucleiPhysics · 1 questions

Q1.Among the compounds A and B with molecular formula $C_{9} H_{18} O_{3}$ , A is having higher boiling point the B. The possible structures of A and B are :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q2.The increasing order of the atomic radii of the following elements is :- (a) C (b) O (c) F (d) Cl (e) Br
Chemistry · Periodic Table and Periodicity · MCQ
Q3.An unsaturated hydrocarbon X absorbs two hydrogen molecules on catalytic hydrogenation and also gives following reaction : B(3 - oxo - hexanedicarboxylic acid) X will be :- Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.Consider the following plots of rate constant versus $\frac{1}{T}$ for four different reactions. Which of the following orders is correct for the activation energies of these reactions? Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q5.Kjeldahl's method cannot be used to estimate nitrogen for which of the following compounds?
Chemistry · Basics of Organic Chemistry · MCQ
Q6.The major product [B] in the following sequence of reactions is :- Includes diagram
Chemistry · Hydrocarbons · MCQ
Q7.Complexes ( $M L_{5}$ ) of metals Ni and Fe have ideal square pyramidal and trigonal bipyramidal grometries, respectively. The sum of the 90°, 120° and 180° L-M-L angles in the two complexes is .
Chemistry · Coordination Compounds · Numerical
Q8.At constant volume, 4 mol of an ideal gas when heated from 300 K to 500K changes its internal energy by 5000 J. The molar heat capacity at constant volume is .
Chemistry · Thermodynamics · Numerical
Q9.In the following sequence of reactions the maximum number of atoms present in molecule 'C' in one plane is . (A is a lowest molecular weight alkyne) Includes diagram
Chemistry · Hydrocarbons · Numerical
Q10.For an electrochemical cell $S n$ (s) | $S n^{2 +}$ (aq,1M)|| $P b^{2 +}$ (aq,1M)| $P b$ (s) the ratio $\frac{[ S n ^{2 +} ]}{[ P b ^{2 +} ]}$ when this cell attains equilibrium is . (Given…
Chemistry · Electrochemistry · Numerical
Q11.The correct order of the calculated spin-only magnetic moments of complexs (A) to (D) is: (A) $N i (C O)_{4}$ (B) $[N i (H_{2} O)_{6}]$ $C l_{2}$ (C) $N a_{2} [N i (C N)_{4}]$ (D) $P d C l_{2} (P P h_{3})_{2}$
Chemistry · Coordination Compounds · MCQ
Q12.Hydrogen has three isotopes (A), (B) and (C). If the number of neutron(s) in (A), (B) and (C) respectively, are (x), (y) and (z), the sum of (x), (y) an (z) is :
Chemistry · Structure of Atom · MCQ
Q13.Two monomers in maltose are :
Chemistry · Biomolecules · MCQ
Q14.The major product in the following reaction is: Includes diagram
Chemistry · Hydrocarbons · MCQ
Q15.Among (a) – (d) the complexes that can display geometrical isomerism are : (a) $[P t (N H_{3})_{3} C l]^{+}$ (b) $[P t (N H_{3}) C l_{5}]^{-}$ (c) $[P t (N H_{3})_{2} C l (N O_{2})]$ (d) $[P t (N H_{3})_{4} C l B r]^{2 +}$
Chemistry · Coordination Compounds · MCQ
Q16.The radius of the second Bohr orbit, in terms of the Bohr radius, a0, in $L i^{2 +}$ is :
Chemistry · Structure of Atom · MCQ
Q17.For the following Assertion and Reason, the correct option is : Assertion : The pH of water increases with increase in temperature. Reason : The dissociation of water into $H^{+}$ and $O H^{-}$ is an exothermic reaction.
Chemistry · Ionic Equilibrium · MCQ
Q18.Arrange the following bonds according to their average bond energies in descending order : C–Cl, C–Br, C–F, C–I
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q19.A metal (A) on heating in nitrogen gas gives compound B. B on treatment with $H_{2} O$ gives a colourless gas which when passed through $C u S O_{4}$ solution gives a dark blue-violet coloured solution. A and B respectively, are :
Chemistry · P Block Elements · MCQ
Q20.Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = .
Mathematics · Application of Derivatives · Numerical
Q21.The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' is .
Mathematics · Permutations and Combinations · Numerical
Q22.Let $α = \frac{- 1 + i 3}{2}$ . If $a = (1 + α) k = 0 \sum 100 α^{2 k}$ and $b = k = 0 \sum 100 α^{3 k}$ , then a and b are the roots of the quadratic equation :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q23.Let A and B be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability that A or B occurs is $\frac{1}{2}$ , then the probability of both of them occur together is :
Mathematics · Probability · MCQ
Q24.The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation 9 was incorrect and the correct observation was 11. Then the correct variance is
Mathematics · Statistics · MCQ
Q25. $x \to 0 lim \frac{\int _{0}^{x} t s i n ( 10 t ) d t}{x}$ is equal to
Mathematics · Definite Integration · MCQ
Q26.Let S be the set of all real roots of the equation, 3x(3x – 1) + 2 = |3x – 1| + |3x – 2|. Then S :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q27.If $A = (2924)$ and $I = (1001)$ then 10A–1 is equal to :
Mathematics · Matrices and Determinants · MCQ
Q28.If $I = 1 \int 2 \frac{d x}{2 x ^{3} - 9 x ^{2} + 12 x + 4}$ , then :
Mathematics · Definite Integration · MCQ
Q29.If $\frac{2 s i n α}{1 + c o s 2 α} = \frac{1}{7}$ and $\frac{1 - c o s 2 β}{2} = \frac{1}{10} α, β \in (0, \frac{π}{2})$ then tan( $α$ + 2 $β$ ) is…
Mathematics · Trigonometric Ratio and Identites · Numerical
Q30.The system of linear equations $λ$ x + 2y + 2z = 5 2 $λ$ x + 3y + 5z = 8 4x + $λ$ y + 6z = 10 has
Mathematics · Matrices and Determinants · MCQ
Q31.If $α$ and $β$ be the coefficients of x4 and x2 respectively in the expansion of $(x + x^{2} - 1)^{6} + (x - x^{2} - 1)^{6}$ , then
Mathematics · Binomial Theorem · MCQ
Q32.Let ƒ : (1, 3) $\to$ R be a function defined by $f (x) = \frac{x [ x ]}{1 + x ^{2}}$ , where [x] denotes the greatest integer $\leq$ x. Then the range of ƒ is
Mathematics · Functions · MCQ
Q33.If the 10th term of an A.P. is $\frac{1}{20}$ and its 20th term is $\frac{1}{10}$ , then the sum of its first 200 terms is
Mathematics · Sequences and Series · MCQ
Q34.Let S be the set of all functions ƒ : [0,1] $\to$ R, which are continuous on [0,1] and differentiable on (0,1). Then for every ƒ in S, there exists a c $\in$ (0,1), depending on ƒ, such that
Mathematics · Limits Continuity and Differentiability · MCQ
Q35.The area (in sq. units) of the region {(x,y) $\in$ R2 : x2 $\leq$ y $\leq$ 3 – 2x}, is :
Mathematics · Area Under the Curves · MCQ
Q36.Let $a = i - 2 j + k$ and $b = i - j + k$ be two vectors. If $c$ is a vector such that $b \times c = b \times a$ …
Mathematics · Vector Algebra · MCQ
Q37.A capacitor is made of two square plates each of side 'a' making a very small angle $α$ between them, as shown in figure. The capacitance will be close to : Includes diagram
Physics · Capacitor · MCQ
Q38.In the given circuit, value of Y is : Includes diagram
Physics · Electronic Devices · MCQ
Q39.A particle moves such that its position vector $r (t) = cos ω t i + sin ω t j$ where $ω$ is a constant and t is time. Then which of the following statements is true for the…
Physics · Motion in A Plane · MCQ
Q40.Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1 (on S1) and E2 (on S2) on their surfaces are such that E1/E2 = R1/R2. Then the ratio V1 (on S1) / V2 (on S2) of the electrostatic…
Physics · Electrostatics · MCQ
Q41.An electron (mass m) with initial velocity $v = v_{0} i + v_{0} j$ is in an electric field $E = - E_{0} k$ . If $λ_{0}$ is initial de-Broglie wavelength of electron, its…
Physics · Dual Nature of Radiation · MCQ
Q42.A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is :
Physics · Rotational Motion · MCQ
Q43.Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its CP/CV value will be :
Physics · Heat and Thermodynamics · MCQ
Q44.A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of $2 g h$ . If they collide head-on completely…
Physics · Center of Mass · MCQ
Q45.A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. At D wire forms a circular turn DMND of radius R. AB, BC parts are tangential to circular turn at N and D. Magnetic… Includes diagram
Physics · Magnetics · MCQ
Q46.An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification (m) versus distance of the object from the mirror (x) is…
Physics · Geometrical Optics · MCQ
Q47.A shown in the figure, a battery of emf $ε$ is connected to an inductor L and resistance R in series. The switch is closed at t = 0. The total charge that flows from the battery, between t = 0 and t = tc (tc is the time constant… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q48.A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 104 N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to :
Physics · Waves · MCQ
Q49.Two liquids of densities $ρ_{1}$ an $ρ_{2}$ ( $ρ_{2}$ = 2 $ρ_{1}$ ) are filled up behind a square wall of side 10 m as shown in figure. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on… Includes diagram
Physics · Properties of Matter · MCQ
Q50.A simple pendulum is being used to determine th value of gravitational acceleration g at a certain place. Th length of the pendulum is 25.0 cm and a stop watch with 1s resolution measures the time taken for 40 oscillations to be 50 s. The…
Physics · Simple Harmonic Motion · MCQ
Q51.A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is correctly given by (graphs are schematic…
Physics · Electrostatics · MCQ
Q52.A galvanometer having a coil resistance 100 $Ω$ gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale…
Physics · Current Electricity · MCQ
Q53.A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in space and time, the magnetic field is given by $B = 5 \times 1 0^{- 8} j T$ . The…
Physics · Electromagnetic Waves · MCQ
Q54.In a double slit experiment, at a certain point on the screen the path difference between the two interfering waves is $\frac{1}{8}$ th of a wavelength. The ratio of the intensity of light at that point to that at the centre of a bright…
Physics · Wave Optics · MCQ
Q55.As shown in figure, when a spherical cavity (centered at O) of radius 1 is cut out of a uniform sphere of radius R (centered at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e, on the surface of the cavity. R can… Includes diagram
Physics · Center of Mass · MCQ
Q56.The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20 $Ω$ and 5 $Ω$ , is connected to the parallel combination of two resistors 30 $Ω$ and R $Ω$ . The voltage…
Physics · Current Electricity · Numerical
Q57.An asteroid is moving directly towards the centre of the earth. When at a distance of 10R (R is the radius of the earth) from the earths centre, it has a speed of 12 km/s. Neglecting the effect of earths atmosphere, what will be the speed…
Physics · Gravitation · Numerical
Q58.The first member of the Balmer series of hydrogen atom has a wavelength of 6561 Å. The wavelength of the second member of the Balmer series (in nm) is:
Physics · Atoms and Nuclei · Numerical
Q59.A ball is dropped from the top of a 100 m high tower on a planet. In the last $\frac{1}{2} s$ before hitting the ground, it covers a distance of 19 m. Acceleration due to gravity (in ms–2) near the surface on that planet is …
Physics · Gravitation · Numerical
Q60.Three containers C1, C2 and C3 have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in litres) are taken from each containers and mixed (assume no loss of heat during… Includes diagram
Physics · Heat and Thermodynamics · Numerical