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 · 27 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 · 27 Jun · Shift 2

2022 · 27 Jun · Shift 2

72 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics28 questions

Chemical Bonding and Molecular StructureChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions P Block ElementsChemistry · 2 questions ElectrochemistryChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions HydrocarbonsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Complex NumbersMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Definite IntegrationMathematics · 3 questions Differential EquationsMathematics · 2 questions ParabolaMathematics · 1 questions CircleMathematics · 1 questions 3D GeometryMathematics · 1 questions Vector AlgebraMathematics · 1 questions StatisticsMathematics · 1 questions ProbabilityMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions DifferentiationMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 2 questions Properties of MatterPhysics · 1 questions Rotational MotionPhysics · 2 questions Circular MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 4 questions Simple Harmonic MotionPhysics · 2 questions ElectrostaticsPhysics · 2 questions MagneticsPhysics · 2 questions Alternating CurrentPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Geometrical OpticsPhysics · 1 questions WavesPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Laws of MotionPhysics · 1 questions CapacitorPhysics · 1 questions Current ElectricityPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions Electronic DevicesPhysics · 1 questions

Q1.Identify the incorrect statement for $P C l_{5}$ from the following.
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.The correct order of increasing intermolecular hydrogen bond strength is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.The correct order of increasing ionic radii is
Chemistry · Periodic Table and Periodicity · MCQ
Q4.Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Fluorine forms one oxoacid. Reason R : Fluorine has smallest size amongst all halogens and is highly electronegative. In…
Chemistry · P Block Elements · MCQ
Q5.In 3d series, the metal having the highest $M^{2 +}$ /M standard electrode potential is :
Chemistry · Electrochemistry · MCQ
Q6.The 'f' orbitals are half and completely filled, respectively in lanthanide ions : [Given : Atomic no. Eu, 63; Sm, 62; Tm, 69; Tb, 65; Yb, 70; Dy, 66]
Chemistry · D and F Block Elements · MCQ
Q7.Arrange the following coordination compounds in the increasing order of magnetic moments. (Atomic numbers : Mn = 25; Fe = 26) A. $[F e F_{6}]^{3 -}$ B. $[F e (C N)_{6}]^{3 -}$ C. $[M n C l_{6}]^{3 -}$ (high spin) D. $[M n (C N)_{6}]^{3 -}$ Choose the correct…
Chemistry · Coordination Compounds · MCQ
Q8.Which of the following is most stable?
Chemistry · Basics of Organic Chemistry · MCQ
Q9.What will be the major product of following sequence of reactions? Includes diagram
Chemistry · Hydrocarbons · MCQ
Q10.Product 'A' of following sequence of reactions is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q11.Match List-I with List-II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.Decarboxylation of all six possible forms of diaminobenzoic acids $C_{6} H_{3} (N H_{2})_{2} C O O H$ yields three products A, B and C. Three acids give a product 'A', two acids gives a product 'B' and one acid give a product 'C'. The melting point of…
Chemistry · Compounds Containing Nitrogen · MCQ
Q13.Given below are two statements. Statement I : Maltose has two $α$ -D-glucose units linked at C1 and C4 and is a reducing sugar. Statement II : Maltose has two monosaccharides : $α$ -D-glucose and $β$ -D-glucose linked at C1 and…
Chemistry · Biomolecules · MCQ
Q14.Match List I with List II. Choose the correct answer from the options given below : Includes table
Chemistry · P Block Elements · MCQ
Q15.116 g of a substance upon dissociation reaction, yields 7.5 g of hydrogen, 60 g of oxygen and 48.5 g of carbon. Given that the atomic masses of H, O and C are 1, 16 and 12, respectively. The data agrees with how many formulae of the…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.Consider the following set of quantum numbers. The number of correct sets of quantum numbers is . Includes table
Chemistry · Structure of Atom · Numerical
Q17.When 5 moles of He gas expand isothermally and reversibly at 300 K from 10 litre to 20 litre, the magnitude of the maximum work obtained is J. [nearest integer] (Given : R = 8.3 J K $-$ 1 mol $-$ 1 and log 2 =…
Chemistry · Thermodynamics · Numerical
Q18.A solution containing 2.5 $\times$ 10 $-$ 3 kg of a solute dissolved in 75 $\times$ 10 $-$ 3 kg of water boils at 373.535 K. The molar mass of the solute is g mol $-$ 1. [nearest integer] (Given : Kb( $H_{2} O$ ) =…
Chemistry · Solutions · Numerical
Q19.pH value of 0.001 M NaOH solution is .
Chemistry · Ionic Equilibrium · Numerical
Q20.For the reaction taking place in the cell : Pt (s)| $H_{2}$ (g)| $H^{+}$ (aq) || $A g^{+}$ (aq) |Ag (s) E $_{ce l l}^{o}$ = + 0.5332 V. The value of $Δ$ fG $^{\circ}$ is kJ mol $-$ 1. (in nearest integer)
Chemistry · Electrochemistry · Numerical
Q21.It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming a reaction to be occurring at 300 K, the value of activation energy is found to be kJ mol…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.0.25 g of an organic compound containing chlorine gave 0.40 g of silver chloride in Carius estimation. The percentage of chlorine present in the compound is . [in nearest integer] (Given : Molar mass of Ag is 108…
Chemistry · Practical Organic Chemistry · Numerical
Q23.The number of points of intersection of $∣ z - (4 + 3 i) ∣ = 2$ and $∣ z ∣ + ∣ z - 4∣ = 6$ , z $\in$ C, is :
Mathematics · Complex Numbers · MCQ
Q24.If a1, a2, a3 ...... and b1, b2, b3 ....... are A.P., and a1 = 2, a10 = 3, a1b1 = 1 = a10b10, then a4 b4 is equal to -
Mathematics · Sequences and Series · MCQ
Q25.If m and n respectively are the number of local maximum and local minimum points of the function $f (x) = 0 \int x^{2} \frac{t ^{2} - 5 t + 4}{2 + e ^{t}} d t$ , then the ordered pair (m, n) is equal to
Mathematics · Definite Integration · MCQ
Q26.Let f be a differentiable function in $(0, \frac{π}{2})$ . If $c o s x \int 1 t^{2} f (t) d t = sin^{3} x + cos x$ , then $\frac{1}{3} f^{'} (\frac{1}{3})$ is equal to
Mathematics · Definite Integration · MCQ
Q27.The integral $0 \int 1 \frac{1}{7 ^{[\frac{1}{x}]}} d x$ , where [ . ] denotes the greatest integer function, is equal to
Mathematics · Definite Integration · MCQ
Q28.If the solution curve of the differential equation $((tan^{- 1} y) - x) d y = (1 + y^{2}) d x$ passes through the point (1, 0), then the abscissa of the point on the curve whose ordinate is tan(1), is
Mathematics · Differential Equations · MCQ
Q29.If the equation of the parabola, whose vertex is at (5, 4) and the directrix is $3 x + y - 29 = 0$ , is $x^{2} + a y^{2} + b x y + c x + d y + k = 0$ , then $a + b + c + d + k$ is equal to :
Mathematics · Parabola · MCQ
Q30.The set of values of k, for which the circle $C : 4 x^{2} + 4 y^{2} - 12 x + 8 y + k = 0$ lies inside the fourth quadrant and the point $(1, - \frac{1}{3})$ lies on or inside the circle C, is :
Mathematics · Circle · MCQ
Q31.The shortest distance between the lines $\frac{x - 3}{2} = \frac{y - 2}{3} = \frac{z - 1}{- 1}$ and $\frac{x + 3}{2} = \frac{y - 6}{1} = \frac{z - 5}{3}$ , is :
Mathematics · 3D Geometry · MCQ
Q32.Let $a$ and $b$ be the vectors along the diagonals of a parallelogram having area $22$ . Let the angle between $a$ and $b$ be acute, $∣ a ∣ = 1$ , and $∣ a . b ∣ = ∣ a \times b ∣$ …
Mathematics · Vector Algebra · MCQ
Q33.The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x < y, are 6 and $\frac{9}{4}$ respectively. Then $x^{4} + y^{2}$ is equal to :
Mathematics · Statistics · MCQ
Q34.If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6 and 5x $-$ 6y = 30, then the probability that y < 1 is :
Mathematics · Probability · MCQ
Q35.The value of $cot (n = 1 \sum 50 tan^{- 1} (\frac{1}{1 + n + n ^{2}}))$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q36. $α = sin 3 6^{\circ}$ is a root of which of the following equation?
Mathematics · Trigonometric Ratio and Identites · MCQ
Q37.Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Define f : S $\to$ S as $f (n) = {2 n 2 n - 11,, i f n = 1, 2, 3, 4, 5 i f n = 6, 7, 8, 9, 10$ . Let g : S $\to$ S be a…
Mathematics · Functions · Numerical
Q38.Let $α$ , $β$ be the roots of the equation $x^{2} - 4 λ x + 5 = 0$ and $α$ , $γ$ be the roots of the equation $x^{2} - (32 + 23) x + 7 + 3 λ 3 = 0$ , $λ$ > 0. If $β + γ = 32$ …
Mathematics · Quadratic Equation and Inequalities · Numerical
Q39.Let A be a matrix of order 2 $\times$ 2, whose entries are from the set {0, 1, 2, 3, 4, 5}. If the sum of all the entries of A is a prime number p, 2 < p < 8, then the number of such matrices A is .
Mathematics · Permutations and Combinations · Numerical
Q40.Let [t] denote the greatest integer $\leq$ t and {t} denote the fractional part of t. The integral value of $α$ for which the left hand limit of the function $f (x) = [1 + x] + \frac{α ^{2 [x] + {x}} + [ x ] - 1}{2 [ x ] + { x }}$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q41.If $y (x) = (x^{x})^{x}, x > 0$ , then $\frac{d ^{2} x}{d y ^{2}} + 20$ at x = 1 is equal to .
Mathematics · Differentiation · Numerical
Q42.If the area of the region ${(x, y) : x^{\frac{2}{3}} + y^{\frac{2}{3}} \leq 1, x + y \geq 0, y \geq 0}$ is A, then $\frac{256 A}{π}$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q43.Let $y = y (x)$ be the solution of the differential equation $(1 - x^{2}) d y = (x y + (x^{3} + 2) 1 - x^{2}) d x, - 1$ -$$1 is equal to $\underline{\hspace{2cm}}$.
Mathematics · Differential Equations · Numerical
Q44.Let S = {E1, E2, ........., E8} be a sample space of a random experiment such that $P (E_{n}) = \frac{n}{36}$ for every n = 1, 2, ........, 8. Then the number of elements in the set $$\left\{ {A \subseteq S:P(A) \ge {4 \over 5}}…
Mathematics · Probability · Numerical
Q45.The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :
Physics · Units and Measurements · MCQ
Q46.The distance of the Sun from earth is 1.5 $\times$ 1011 m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be :
Physics · Gravitation · MCQ
Q47.When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The…
Physics · Properties of Matter · MCQ
Q48.One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made…
Physics · Rotational Motion · MCQ
Q49.A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its…
Physics · Circular Motion · MCQ
Q50.Four spheres each of mass m from a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of the system is : Includes diagram
Physics · Gravitation · MCQ
Q51.For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q52.According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0 $^{\circ}$ C. B. The mean free path of gas molecules decreases if the density of molecules is increased. C. The mean free path of gas molecules increases…
Physics · Heat and Thermodynamics · MCQ
Q53.A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is : (Given : initial temperature of the bullet = 127 $^{\circ}$ C, Melting point of the bullet =…
Physics · Heat and Thermodynamics · MCQ
Q54.The equation of a particle executing simple harmonic motion is given by $x = sin π (t + \frac{1}{3}) m$ . At t = 1s, the speed of particle will be (Given : $π$ = 3.14)
Physics · Simple Harmonic Motion · MCQ
Q55.If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be : Includes diagram
Physics · Electrostatics · MCQ
Q56.Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as shown in figure). They form an equilateral triangle of side 1m. The ratio of net force on a charged ball to the force… Includes diagram
Physics · Electrostatics · MCQ
Q57.Two long parallel conductors S1 and S2 are separated by a distance 10 cm and carrying currents of 4A and 2A respectively. The conductors are placed along x-axis in X-Y plane. There is a point P located between the conductors (as shown in… Includes diagram
Physics · Magnetics · MCQ
Q58.If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?
Physics · Alternating Current · MCQ
Q59.Given below are two statements : Statement I : A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates EM waves. Statement II : In a material medium, the…
Physics · Electromagnetic Waves · MCQ
Q60.A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect option for the… Includes diagram
Physics · Geometrical Optics · MCQ
Q61.If a wave gets refracted into a denser medium, then which of the following is true?
Physics · Waves · MCQ
Q62.Given below are two statements : Statement I : In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit (E1) to higher energy orbit (E2), is given as hf = E1 $-$ E2 Statement II : The jumping of…
Physics · Atoms and Nuclei · MCQ
Q63.A mass of 10 kg is suspended vertically by a rope of length 5 m from the roof. A force of 30 N is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is $θ$ = tan $-$ 1…
Physics · Laws of Motion · Numerical
Q64.A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of 3 kg through a string of fixed length and pulley as shown in figure. Consider PR as friction free surface. The velocity of centre of mass of the… Includes diagram
Physics · Rotational Motion · Numerical
Q65.A diatomic gas ( $γ$ = 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the process is J.
Physics · Heat and Thermodynamics · Numerical
Q66.A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is …
Physics · Simple Harmonic Motion · Numerical
Q67.A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is $\frac{x}{15} \frac{\in _{0} A}{b}$ … Includes diagram
Physics · Capacitor · Numerical
Q68.The current density in a cylindrical wire of radius r = 4.0 mm is 1.0 $\times$ 106 A/m2. The current through the outer portion of the wire between radial distances $\frac{r}{2}$ and r is x $π$ A; where x is .
Physics · Current Electricity · Numerical
Q69.In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum, will be $\frac{x}{2}$ . The value of x is . Includes diagram
Physics · Current Electricity · Numerical
Q70.A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If rd and rp are the radii of their circular paths respectively, then the ratio $\frac{r _{d}}{r _{p}}$ will be $x$ …
Physics · Magnetics · Numerical
Q71.A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards East. The horizontal component of the Earth's magnetic field at that place is 4 $\times$ 10 $-$ 3 T and the angle of dip…
Physics · Electromagnetic Induction · Numerical
Q72.The cut-off voltage of the diodes (shown in figure) in forward bias is 0.6 V. The current through the resister of 40 $Ω$ is mA. Includes diagram
Physics · Electronic Devices · Numerical