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 · 25 Jun · Shift 2

72 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 · 25 Jun · Shift 2

2022 · 25 Jun · Shift 2

72 questions · JEE Main

Chemistry22 questions Mathematics23 questions Physics27 questions

Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions ElectrochemistryChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Salt AnalysisChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions BiomoleculesChemistry · 1 questions Redox ReactionsChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Binomial TheoremMathematics · 2 questions Application of DerivativesMathematics · 2 questions Definite IntegrationMathematics · 2 questions Differential EquationsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions ProbabilityMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions EllipseMathematics · 1 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Motion in A PlanePhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Circular MotionPhysics · 3 questions Heat and ThermodynamicsPhysics · 4 questions CapacitorPhysics · 1 questions Current ElectricityPhysics · 3 questions Magnetic Properties of MatterPhysics · 1 questions MagneticsPhysics · 1 questions Alternating CurrentPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Electronic DevicesPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Laws of MotionPhysics · 1 questions Rotational MotionPhysics · 1 questions GravitationPhysics · 1 questions ElectrostaticsPhysics · 1 questions

Q1.The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is : [Given : The threshold frequency of platinum is 1.3 $\times$ 1015 s $-$ 1 and h = 6.6 $\times$ 10 $-$ 34 J s.]
Chemistry · Structure of Atom · MCQ
Q2.At 25 $^{\circ}$ C and 1 atm pressure, the enthalpy of combustion of benzene (I) and acetylene (g) are $-$ 3268 kJ mol $-$ 1 and $-$ 1300 kJ mol $-$ 1, respectively. The change in enthalpy for the reaction 3 $C_{2} H_{2}$ (g) $\to$ $C_{6} H_{6}$ (I),…
Chemistry · Thermodynamics · MCQ
Q3.Solute A associates in water. When 0.7 g of solute A is dissolved in 42.0 g of water, it depresses the freezing point by 0.2 $^{\circ}$ C. The percentage association of solute A in water, is : [Given : Molar mass of A = 93 g mol $-$ 1. Molal…
Chemistry · Solutions · MCQ
Q4.The Ksp for bismuth sulphide ( $B i_{2} S_{3}$ ) is 1.08 $\times$ 10 $-$ 73. The solubility of $B i_{2} S_{3}$ in mol L $-$ 1 at 298 K is :
Chemistry · Ionic Equilibrium · MCQ
Q5.The correct order of electron gain enthalpies of Cl, F, Te and Po is
Chemistry · Periodic Table and Periodicity · MCQ
Q6.Given below are two statements one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : The amphoteric nature of water is explained by using Lewis acid/base concept. Reason R : Water acts as an acid with $N H_{3}$ …
Chemistry · Ionic Equilibrium · MCQ
Q7.The correct order of reduction potentials of the following pairs is A. $C l_{2}$ / $C l^{-}$ B. $I_{2}$ / $I^{-}$ C. $A g^{+}$ /Ag D. $N a^{+}$ /Na E. $L i^{+}$ /Li Choose the correct answer from the options given below.
Chemistry · Electrochemistry · MCQ
Q8.The metal ion (in gaseous state) with lowest spin-only magnetic moment value is :
Chemistry · D and F Block Elements · MCQ
Q9.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : A mixture contains benzoic acid and napthalene. The pure benzoic acid can be separated out by the use of benzene. Reason R…
Chemistry · Basics of Organic Chemistry · MCQ
Q10.During halogen test, sodium fusion extract is boiled with concentrated $H N O_{3}$ to
Chemistry · Salt Analysis · MCQ
Q11.Amongst the following, the major product of the given chemical reaction is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.In the given reaction 'A' can be Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Which of the following conditions or reaction sequence will NOT give acetophenone as the major product?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q14.The major product formed in the following reaction, is Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q15.Which of the following ketone will NOT give enamine on treatment with secondary amines? [where t-Bu is $-$ $C (C H_{3})_{3}$ ]
Chemistry · Compounds Containing Nitrogen · MCQ
Q16.A protein 'A' contains 0.30% of glycine (molecular weight 75). The minimum molar mass of the protein 'A' is $\times$ 103 g mol $-$ 1 [nearest integer]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.Amongst $B e F_{2}$ , $B F_{3}$ , $H_{2} O$ , $N H_{3}$ , $C C l_{4}$ and $H C l$ , the number of molecules with non-zero net dipole moment is .
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q18.At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When the pressure was 27.8 kPa, the half life was found to be 170 s. The order of the reaction is .…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.A solution of $F e_{2} (S O_{4})_{3}$ is electrolyzed for 'x' min with a current of 1.5 A to deposit 0.3482 g of $F e$ . The value of x is . [nearest integer] Given : 1 F = 96500 C mol $-$ 1 Atomic mass of $F e$ = 56 g mol…
Chemistry · Electrochemistry · Numerical
Q20.Amongst $F e C l_{3} .3 H_{2} O$ , $K_{3} [F e (C N)_{6}]$ and $[C o (N H_{3})_{6}] C l_{3}$ , the spin-only magnetic moment value of the inner-orbital complex that absorbs light at shortest wavelength is B.M. [nearest integer]
Chemistry · Coordination Compounds · Numerical
Q21.How many of the given compounds will give a positive Biuret test ? Glycine, Glycylalanine, Tripeptide, Biuret
Chemistry · Biomolecules · Numerical
Q22.The neutralization occurs when 10 mL of 0.1M acid 'A' is allowed to react with 30 mL of 0.05 M base $M (O H)_{2}$ . The basicity of the acid 'A' is . [ $M$ is a metal]
Chemistry · Redox Reactions · Numerical
Q23.Let $A = {x \in R : ∣ x + 1∣ < 2}$ and $B = {x \in R : ∣ x - 1∣ \geq 2}$ . Then which one of the following statements is NOT true?
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.Let a, b $\in$ R be such that the equation $a x^{2} - 2 b x + 15 = 0$ has a repeated root $α$ . If $α$ and $β$ are the roots of the equation $x^{2} - 2 b x + 21 = 0$ , then $α^{2} + β^{2}$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.Let z1 and z2 be two complex numbers such that $\overline{z}_{1} = i \overline{z}_{2}$ and $ar g (\frac{z _{1}}{z _{2}}) = π$ . Then :
Mathematics · Complex Numbers · MCQ
Q26.The system of equations $- k x + 3 y - 14 z = 25 - 15 x + 4 y - k z = 3 - 4 x + y + 3 z = 4$ is consistent for all k in the set
Mathematics · Matrices and Determinants · MCQ
Q27. $x \to \frac{π}{2} lim (tan^{2} x ((2 sin^{2} x + 3 sin x + 4)^{\frac{1}{2}} - (sin^{2} x + 6 sin x + 2)^{\frac{1}{2}}))$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q28.The area of the region enclosed between the parabolas y2 = 2x $-$ 1 and y2 = 4x $-$ 3 is
Mathematics · Area Under the Curves · MCQ
Q29.The coefficient of x101 in the expression $(5 + x)^{500} + x (5 + x)^{499} + x^{2} (5 + x)^{498} + ..... + x^{500}$ , x > 0, is
Mathematics · Binomial Theorem · MCQ
Q30.Water is being filled at the rate of 1 cm3 / sec in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm. When the height of the water level is 10 cm, the rate (in cm2 / sec) at which the wet conical…
Mathematics · Application of Derivatives · MCQ
Q31.If $b_{n} = \int_{0}^{\frac{π}{2}} \frac{c o s ^{2} n x}{s i n x} d x, n \in N$ , then
Mathematics · Definite Integration · MCQ
Q32.If $y = y (x)$ is the solution of the differential equation $2 x^{2} \frac{d y}{d x} - 2 x y + 3 y^{2} = 0$ such that $y (e) = \frac{e}{3}$ , then y(1) is equal to :
Mathematics · Differential Equations · MCQ
Q33.The value of 2sin (12 $^{\circ}$ ) $-$ sin (72 $^{\circ}$ ) is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q34.A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability of getting a face with mark n is $\frac{1}{n}$ . If the die is thrown thrice, then the probability, that the sum of the numbers obtained is 48, is :
Mathematics · Probability · MCQ
Q35.The value of $tan^{- 1} (\frac{c o s ( \frac{15 π}{4} ) - 1}{s i n ( \frac{π}{4} )})$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q36.The line y = x + 1 meets the ellipse $\frac{x ^{2}}{4} + \frac{y ^{2}}{2} = 1$ at two points P and Q. If r is the radius of the circle with PQ as diameter then (3r)2 is equal to :
Mathematics · Ellipse · MCQ
Q37.Let $A = (21 - 2 - 1)$ and $B = (- 1 - 1 22)$ . Then the number of elements in the set {(n, m) :…
Mathematics · Matrices and Determinants · Numerical
Q38.Let $f (x) = [2 x^{2} + 1]$ and $g (x) = {2 x - 3, 2 x + 3, x < 0 x \geq 0$ , where [t] is the greatest integer $\leq$ t. Then, in the open interval ( $-$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q39.The value of b > 3 for which $12 3 \int b \frac{1}{( x ^{2} - 1 ) ( x ^{2} - 4 )} d x = lo g_{e} (\frac{49}{40})$ , is equal to .
Mathematics · Definite Integration · Numerical
Q40.If the sum of the co-efficient of all the positive even powers of x in the binomial expansion of $(2 x^{3} + \frac{3}{x})^{10}$ is $5^{10} - β . 3^{9}$ , then $β$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q41.If the mean deviation about the mean of the numbers 1, 2, 3, .........., n, where n is odd, is $\frac{5 ( n + 1 )}{n}$ , then n is equal to .
Mathematics · Statistics · Numerical
Q42.Let $b = i + j + λ k$ , $λ \in$ R. If $a$ is a vector such that $a \times b = 13 i - j - 4 k$ and $a . b + 21 = 0$ …
Mathematics · Vector Algebra · Numerical
Q43.The total number of three-digit numbers, with one digit repeated exactly two times, is .
Mathematics · Permutations and Combinations · Numerical
Q44.Let $f (x) = ∣ (x - 1) (x^{2} - 2 x - 3) ∣ + x - 3, x \in R$ . If m and M are respectively the number of points of local minimum and local maximum of f in the interval (0, 4), then m + M is equal to .
Mathematics · Application of Derivatives · Numerical
Q45.Let l1 be the line in xy-plane with x and y intercepts $\frac{1}{8}$ and $\frac{1}{4 2}$ respectively, and l2 be the line in zx-plane with x and z intercepts $- \frac{1}{8}$ and $- \frac{1}{6 3}$ respectively. If d is the…
Mathematics · 3D Geometry · Numerical
Q46.Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Two identical balls A and B thrown with same velocity 'u' at two different angles with horizontal attained the same range…
Physics · Motion in A Plane · MCQ
Q47.Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by $X_{P} (t) = α t + β t^{2}$ and $X_{Q} (t) = f t - t^{2}$ . At what time, both the buses have same velocity?
Physics · Motion in A Straight Line · MCQ
Q48.A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity $ω$ . The coefficient of static friction…
Physics · Circular Motion · MCQ
Q49.A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10 $^{\circ}$ C, calculate the increase in volume of the cube. (Given $α$ = 5.0 $\times$ 10 $-$ 4 $^{\circ}$ C $-$ 1).
Physics · Heat and Thermodynamics · MCQ
Q50.A copper block of mass 5.0 kg is heated to a temperature of 500 $^{\circ}$ C and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper : 0.39 J g $-$ 1 $^{\circ}$ C $-$ 1 and latent heat of…
Physics · Heat and Thermodynamics · MCQ
Q51.The ratio of specific heats $(\frac{C _{P}}{C _{V}})$ in terms of degree of freedom (f) is given by :
Physics · Heat and Thermodynamics · MCQ
Q52.For a particle in uniform circular motion, the acceleration $a$ at any point P(R, $θ$ ) on the circular path of radius R is (when $θ$ is measured from the positive x-axis and v is uniform speed) :
Physics · Circular Motion · MCQ
Q53.Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness $\frac{d}{2}$ and of area equal to area of each plate is introduced between the plates. What will be the ratio of the…
Physics · Capacitor · MCQ
Q54.Two cells of same emf but different internal resistances r1 and r2 are connected in series with a resistance R. The value of resistance R, for which the potential difference across second cell is zero, is :
Physics · Current Electricity · MCQ
Q55.Given below are two statements : Statement I : Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature. Statement II : Diamagnetism is a result of orbital motions of electrons developing magnetic…
Physics · Magnetic Properties of Matter · MCQ
Q56.A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field will be equal to
Physics · Magnetics · MCQ
Q57.A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $μ$ F and R = 100 $Ω$ . The phase difference ( $Φ$ ) between the applied voltage and resultant current will be :
Physics · Alternating Current · MCQ
Q58.The electromagnetic waves travel in a medium at a speed of 2.0 $\times$ 108 m/s. The relative permeability of the medium is 1.0. The relative permittivity of the medium will be :
Physics · Electromagnetic Waves · MCQ
Q59.The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio $\frac{I _{m a x} + I _{m i n}}{I _{m a x} - I _{m i n}}$ is $\frac{5}{x}$ . Then, the value of x will be equal to :
Physics · Wave Optics · MCQ
Q60.A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface of the prism at Brewster's angle. Choose the most suitable option for the phenomenon related to the prism.
Physics · Wave Optics · MCQ
Q61.A proton, a neutron, an electron and an $α$ particle have same energy. If $λ$ p, $λ$ n, $λ$ e and $λ$ a are the de Broglie's wavelengths of proton, neutron, electron and $α$ particle respectively, then…
Physics · Dual Nature of Radiation · MCQ
Q62.Identify the logic operation performed by the given circuit: Includes diagram
Physics · Electronic Devices · MCQ
Q63.If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then the total current I when its figure of merit is K will be:
Physics · Current Electricity · MCQ
Q64.For $z = a^{2} x^{3} y^{\frac{1}{2}}$ , where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are 4% and 12% respectively, then the percentage error for 'z' will be %.
Physics · Units and Measurements · Numerical
Q65.A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road…
Physics · Circular Motion · Numerical
Q66.A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = $x$ N as shown in figure. The value of x = . Includes diagram
Physics · Laws of Motion · Numerical
Q67.Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as follows: I1 = M.I. of solid sphere about its diameter I2 = M.I. of solid cylinder about its axis I3 = M.I. of solid circular disc about its diameter I4 =…
Physics · Rotational Motion · Numerical
Q68.Two satellites S1 and S2 are revolving in circular orbits around a planet with radius R1 = 3200 km and R2 = 800 km respectively. The ratio of speed of satellite S1 to be speed of satellite S2 in their respective orbits would be $\frac{1}{x}$ …
Physics · Gravitation · Numerical
Q69.When a gas filled in a closed vessel is heated by raising the temperature by 1 $^{\circ}$ C, its pressure increases by 0.4%. The initial temperature of the gas is K.
Physics · Heat and Thermodynamics · Numerical
Q70.27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be V.
Physics · Electrostatics · Numerical
Q71.The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be %.
Physics · Current Electricity · Numerical
Q72.In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $μ$ F and R = 10 $Ω$ respectively. They are connected to an AC source of voltage 220 V and frequency of 50 Hz. The approximate value of… Includes diagram
Physics · Alternating Current · Numerical