New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

2022 · 28 Jun · Shift 1

69 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
2022 · 28 Jun · Shift 1

2022 · 28 Jun · Shift 1

69 questions · JEE Main

Chemistry23 questions Mathematics19 questions Physics27 questions

Periodic Table and PeriodicityChemistry · 1 questions P Block ElementsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 2 questions Basics of Organic ChemistryChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions BiomoleculesChemistry · 1 questions Practical Organic ChemistryChemistry · 3 questions Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions FunctionsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Definite IntegrationMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 2 questions Application of DerivativesMathematics · 1 questions ProbabilityMathematics · 1 questions Sets and RelationsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Complex NumbersMathematics · 1 questions Properties of MatterPhysics · 2 questions Circular MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions Rotational MotionPhysics · 2 questions GravitationPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions ElectrostaticsPhysics · 2 questions MagneticsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Electronic DevicesPhysics · 1 questions WavesPhysics · 1 questions Current ElectricityPhysics · 2 questions Alternating CurrentPhysics · 2 questions Center of MassPhysics · 1 questions Laws of MotionPhysics · 1 questions

Q1.Element "E" belongs to the period 4 and group 16 of the periodic table. The valence shell electron configuration of the element, which is just above "E" in the group is
Chemistry · Periodic Table and Periodicity · MCQ
Q2.Nitrogen gas is obtained by thermal decomposition of :
Chemistry · P Block Elements · MCQ
Q3.Which one of the lanthanoids given below is the most stable in divalent form?
Chemistry · D and F Block Elements · MCQ
Q4.Given below are two statements : Statement I : $[N i (C N)_{4}]^{2 -}$ is square planar and diamagnetic complex, with dsp2 hybridization for Ni but $[N i (C O)_{4}]$ is tetrahedral, paramagnetic and with sp3-hybridication for Ni. Statement II : $[N i C l_{4}]^{2 -}$ …
Chemistry · Coordination Compounds · MCQ
Q5.Which one of the following techniques is not used to spot components of a mixture separated on thin layer chromatographic plate?
Chemistry · Basics of Organic Chemistry · MCQ
Q6.Which of the following structure are aromatic in nature? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q7.The major product (P) in the reaction is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.The correct structure of product 'A' formed in the following reaction. is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.Which one of the following compounds is inactive towards SN1 reaction?
Chemistry · Haloalkanes and Haloarenes · MCQ
Q10.Identify the major product formed in the following sequence of reactions: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.A primary aliphatic amine on reaction with nitrous acid in cold (273 K) and there after raising temperature of reaction mixture to room temperature (298 K), gives a/an
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Stability of $α$ -Helix structure of proteins depends upon
Chemistry · Biomolecules · MCQ
Q13.The formula of the purple colour formed in Laissaigne's test for sulphur using sodium nitroprusside is :
Chemistry · Practical Organic Chemistry · MCQ
Q14.A 2.0 g sample containing $M n O_{2}$ is treated with $H C l$ liberating $C l_{2}$ . The $C l_{2}$ gas is passed into a solution of $K I$ and 60.0 mL of 0.1 M $N a_{2} S_{2} O_{3}$ is required to titrate the liberated iodine. The percentage of $M n O_{2}$ in the…
Chemistry · Practical Organic Chemistry · Numerical
Q15.If the work function of a metal is 6.63 $\times$ 10 $-$ 19J, the maximum wavelength of the photon required to remove a photoelectron from the metal is nm. (Nearest integer) [Given : h = 6.63 $\times$ 10 $-$ 34 J…
Chemistry · Structure of Atom · Numerical
Q16.The hybridization of P exhibited in $P F_{5}$ is spxdy. The value of y is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.4.0 L of an ideal gas is allowed to expand isothermally into vacuum until the total volume is 2.0 L. The amount of heat absorbed in this expansion is L atm.
Chemistry · Thermodynamics · Numerical
Q18.The vapour pressures of two volatile liquids A and B at 25 $^{\circ}$ C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is ${x \over…
Chemistry · Solutions · Numerical
Q19.The solubility product of a sparingly soluble salt $A_{2} X_{3}$ is 1.1 $\times$ 10 $-$ 23. If specific conductance of the solution is 3 $\times$ 10 $-$ 5 S m $-$ 1, the limiting molar conductivity of the solution is $x \times$ 10 $-$ 3 S m2…
Chemistry · Ionic Equilibrium · Numerical
Q20.The quantity of electricity in Faraday needed to reduce 1 mol of Cr2O $_{7}^{2 -}$ to $C r^{3 +}$ is .
Chemistry · Electrochemistry · Numerical
Q21.For a first order reaction A $\to$ B, the rate constant, k = 5.5 $\times$ 10 $-$ 14 s $-$ 1. The time required for 67% completion of reaction is x $\times$ 10 $-$ 1 times the half life of reaction. The value of x is …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.Number of complexes which will exhibit synergic bonding amongst, $[C r (C O)_{6}]$ , $[M n (C O)_{5}]$ and $[M n_{2} (C O)_{10}]$ is .
Chemistry · Coordination Compounds · Numerical
Q23.In the estimation of bromine, 0.5 g of an organic compound gave 0.40 g of silver bromide. The percentage of bromine in the given compound is % (nearest integer) (Relative atomic masses of Ag and Br are 108u and…
Chemistry · Practical Organic Chemistry · Numerical
Q24.Let a function f : N $\to$ N be defined by $f (n) = 2 n, n - 1, \frac{n + 1}{2}, n = 2, 4, 6, 8, ...... n = 3, 7, 11, 15, ...... n = 1, 5, 9, 13, ......$ then, f is
Mathematics · Functions · MCQ
Q25.If the system of linear equations $2 x + 3 y - z = - 2 x + y + z = 4 x - y + ∣ λ ∣ z = 4 λ - 4$ where, $λ \in$ R, has no solution, then
Mathematics · Matrices and Determinants · MCQ
Q26.The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple of 6, is :
Mathematics · Permutations and Combinations · MCQ
Q27.Let A1, A2, A3, ....... be an increasing geometric progression of positive real numbers. If A1A3A5A7 = $\frac{1}{1296}$ and A2 + A4 = $\frac{7}{36}$ , then the value of A6 + A8 + A10 is equal to
Mathematics · Sequences and Series · MCQ
Q28.Let [t] denote the greatest integer less than or equal to t. Then, the value of the integral $0 \int 1 [- 8 x^{2} + 6 x - 1] d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q29.Let f : R $\to$ R be defined as $f (x) = ⎩ ⎨ ⎧ [e^{x}], a e^{x} + [x - 1], b + [sin (π x)], [e^{- x}] - c, x < 0 0 \leq x < 1 1 \leq x < 2 x \geq 2$ where a, b, c $\in$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.The area of the region S = {(x, y) : y2 $\leq$ 8x, y $\geq 2$ x, x $\geq$ 1} is
Mathematics · Area Under the Curves · MCQ
Q31.Let the solution curve $y = y (x)$ of the differential equation $[\frac{x}{x ^{2} - y ^{2}} + e^{\frac{y}{x}}] x \frac{d y}{d x} = x + [\frac{x}{x ^{2} - y ^{2}} + e^{\frac{y}{x}}] y$ …
Mathematics · Differential Equations · MCQ
Q32.Let y = y(x) be the solution of the differential equation $x (1 - x^{2}) \frac{d y}{d x} + (3 x^{2} y - y - 4 x^{3}) = 0$ , $x > 1$ , with $y (2) = - 2$ . Then y(3) is equal to :
Mathematics · Differential Equations · MCQ
Q33.The number of real solutions of $x^{7} + 5 x^{3} + 3 x + 1 = 0$ is equal to .
Mathematics · Application of Derivatives · MCQ
Q34.The probability, that in a randomly selected 3-digit number at least two digits are odd, is :
Mathematics · Probability · MCQ
Q35.Let R1 and R2 be relations on the set {1, 2, ......., 50} such that R1 = {(p, pn) : p is a prime and n $\geq$ 0 is an integer} and R2 = {(p, pn) : p is a prime and n = 0 or 1}. Then, the number of elements in R1 $-$ R2 is …
Mathematics · Sets and Relations · Numerical
Q36.The number of real solutions of the equation $e^{4 x} + 4 e^{3 x} - 58 e^{2 x} + 4 e^{x} + 1 = 0$ is .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q37.The mean and standard deviation of 15 observations are found to be 8 and 3 respectively. On rechecking it was found that, in the observations, 20 was misread as 5. Then, the correct variance is equal to .
Mathematics · Statistics · Numerical
Q38.If $a = 2 i + j + 3 k$ , $b = 3 i + 3 j + k$ and $c = c_{1} i + c_{2} j + c_{3} k$ are coplanar vectors and $a . c = 5$ …
Mathematics · Vector Algebra · Numerical
Q39.A ray of light passing through the point P(2, 3) reflects on the x-axis at point A and the reflected ray passes through the point Q(5, 4). Let R be the point that divides the line segment AQ internally into the ratio 2 : 1. Let the…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q40.Let A = {1, a1, a2 ....... a18, 77} be a set of integers with 1 1 2 18 1 + a2 + ...... + a18 is equal to .
Mathematics · Sequences and Series · Numerical
Q41.The number of positive integers k such that the constant term in the binomial expansion of $(2 x^{3} + \frac{3}{x ^{k}})^{12}$ , x $e$ 0 is 28 . l, where l is an odd integer, is .
Mathematics · Binomial Theorem · Numerical
Q42.The number of elements in the set {z = a + ib $\in$ C : a, b $\in$ Z and 1 < | z $-$ 3 + 2i | < 4} is .
Mathematics · Complex Numbers · Numerical
Q43.Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coefficient of viscosity. Reason R : Coefficient of…
Physics · Properties of Matter · MCQ
Q44.A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration (a) is varying with time t as a = k2rt2, where k is a constant. The power delivered to the particle by the force acting on it is…
Physics · Circular Motion · MCQ
Q45.Motion of a particle in x-y plane is described by a set of following equations $x = 4 sin (\frac{π}{2} - ω t) m$ and $y = 4 sin (ω t) m$ . The path of the particle will be :
Physics · Simple Harmonic Motion · MCQ
Q46.Match List-I with List-II Choose the correct answer from the options given below : Includes table
Physics · Rotational Motion · MCQ
Q47.Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct…
Physics · Gravitation · MCQ
Q48.A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this process the gain in surface energy will be :
Physics · Properties of Matter · MCQ
Q49.Given below are two statements : Statement I : When $μ$ amount of an ideal gas undergoes adiabatic change from state (P1, V1, T1) to state (P2, V2, T2), then work done is $W = \frac{μ R ( T _{2} - T _{1} )}{1 - γ}$ , where $γ = \frac{C _{p}}{C _{v}}$ …
Physics · Heat and Thermodynamics · MCQ
Q50.Given below are two statements : Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive. Statement II : An electric dipole is placed in…
Physics · Electrostatics · MCQ
Q51.The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the corner D of the square, is : Includes diagram
Physics · Electrostatics · MCQ
Q52.An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.
Physics · Magnetics · MCQ
Q53.A radar sends an electromagnetic signal of electric field (E0) = 2.25 V/m and magnetic field (B0) = 1.5 $\times$ 10 $-$ 8 T which strikes a target on line of sight at a distance of 3 km in a medium. After that, a part of signal (echo)…
Physics · Electromagnetic Waves · MCQ
Q54.The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of minimum deviation will be -
Physics · Geometrical Optics · MCQ
Q55.The aperture of the objective is 24.4 cm. The resolving power of this telescope, if a light of wavelength 2440 $A o$ is used to see th object will be :
Physics · Geometrical Optics · MCQ
Q56.The de Broglie wavelengths for an electron and a photon are $λ$ e and $λ$ p respectively. For the same kinetic energy of electron and photon, which of the following presents the correct relation between the de Broglie…
Physics · Dual Nature of Radiation · MCQ
Q57.The Q-value of a nuclear reaction and kinetic energy of the projectile particle, Kp are related as :
Physics · Atoms and Nuclei · MCQ
Q58.For using a multimeter to identify diode from electrical components, choose the correct statement out of the following about the diode :
Physics · Electronic Devices · MCQ
Q59.The velocity of sound in a gas, in which two wavelengths 4.08 m and 4.16 m produce 40 beats in 12s, will be :
Physics · Waves · MCQ
Q60.A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled aside until the string is at 60 $^{\circ}$ with vertical as shown in the figure. After releasing the bob, the maximum… Includes diagram
Physics · Simple Harmonic Motion · Numerical
Q61.A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 15 $Ω$ . The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end… Includes diagram
Physics · Current Electricity · Numerical
Q62.Current measured by the ammeter (A) in the reported circuit when no current flows through 10 $Ω$ resistance, will be A. Includes diagram
Physics · Current Electricity · Numerical
Q63.An AC source is connected to an inductance of 100 mH, a capacitance of 100 $μ$ F and a resistance of 120 $Ω$ as shown in figure. The time in which the resistance having a thermal capacity 2 J/ $^{\circ}$ C will get heated by 16… Includes diagram
Physics · Alternating Current · Numerical
Q64.The position vector of 1 kg object is $r = (3 i - j) m$ and its velocity $v = (3 j + k) m s^{- 1}$ . The magnitude of its angular momentum…
Physics · Rotational Motion · Numerical
Q65.A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then, the trolly car starts moving with velocity 2 ms $-$ 1. The velocity of the running man was ms $-$ 1,…
Physics · Center of Mass · Numerical
Q66.A hanging mass M is connected to a four times bigger mass by using a string-pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by 2 Mg force. In this situation, tension in the… Includes diagram
Physics · Laws of Motion · Numerical
Q67.The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be J. (Given R = 8.31 J/mol.K)
Physics · Heat and Thermodynamics · Numerical
Q68.A singly ionized magnesium atom (A = 24) ion is accelerated to kinetic energy 5 keV, and is projected perpendicularly into a magnetic field B of the magnitude 0.5 T. The radius of path formed will be cm.
Physics · Magnetics · Numerical
Q69.A telegraph line of length 100 km has a capacity of 0.01 $μ$ F/km and it carries an alternating current at 0.5 kilo cycle per second. If minimum impedance is required, then the value of the inductance that needs to be introduced in…
Physics · Alternating Current · Numerical