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2022 · 25 Jul · Shift 1

68 questions · JEE Main

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2022 · 25 Jul · Shift 1

2022 · 25 Jul · Shift 1

68 questions · JEE Main

Chemistry20 questions Mathematics20 questions Physics28 questions

Some Basic Concepts of ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions HydrocarbonsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Compounds Containing NitrogenChemistry · 2 questions BiomoleculesChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Application of DerivativesMathematics · 2 questions Area Under the CurvesMathematics · 2 questions Definite IntegrationMathematics · 1 questions Differential EquationsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Units and MeasurementsPhysics · 1 questions Current ElectricityPhysics · 3 questions Circular MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions GravitationPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Simple Harmonic MotionPhysics · 1 questions CapacitorPhysics · 1 questions MagneticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Electronic DevicesPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Laws of MotionPhysics · 1 questions Properties of MatterPhysics · 1 questions ElectrostaticsPhysics · 1 questions

Q1. $SO_{2} Cl_{2}$ on reaction with excess of water results into acidic mixture $SO_{2} Cl_{2} + 2 H_{2} O \to H_{2} SO_{4} + 2 HCl$ 16 moles of $NaOH$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.Which of the following sets of quantum numbers is not allowed?
Chemistry · Structure of Atom · MCQ
Q3.The depression in freezing point observed for a formic acid solution of concentration $0.5 mL L^{- 1}$ is $0.040 5^{\circ} C$ . Density of formic acid is $1.05 g mL^{- 1}$ . The Van't Hoff factor…
Chemistry · Solutions · MCQ
Q4. $0.1 M NH_{4} OH$ of $0.1 M NH_{4} OH$ is mixed with $0.05 M HCl$ of $pH$ . The $pH$ of the mixture is nearest to : (Given : $K_{b} (NH_{4} OH) = 1 \times 1 0^{- 5}, lo g 2 = 0.30, lo g 3 = 0.48, lo g 5 = 0.69, lo g 7 = 0.84, lo g 11 = 1.04)$ …
Chemistry · Ionic Equilibrium · MCQ
Q5.The IUPAC nomenclature of an element with electronic configuration [Rn] $5 f^{14} 6 d^{1} 7 s^{2}$ is :
Chemistry · Periodic Table and Periodicity · MCQ
Q6.A compound ‘ $A$ ’ on reaction with ‘ $X$ ’ and ‘ $Y$ ’ produces the same major product but different by product ' $a$ ' and ' $b^{'}$ . Oxidation of ' $a$ ' gives a substance produced by ants. 'X' and 'Y' respectively… Includes diagram
Chemistry · Hydrocarbons · MCQ
Q7.Most stable product of the following reaction is: Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q8.Which one of the following reactions does not represent correct combination of substrate and product under the given conditions?
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q9.An organic compound 'A' on reaction with $N H_{3}$ followed by heating gives compound B. Which on further strong heating gives compound C ( $C_{8} H_{5} N O_{2}$ ). Compound C on sequential reaction with ethanolic $K O H$ , alkyl chloride and hydrolysis…
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.During the denaturation of proteins, which of these structures will remain intact?
Chemistry · Biomolecules · MCQ
Q11.Given below are two statements : Statement I : On heating with $KHSO_{4}$ , glycerol is dehydrated and acrolein is formed. Statement II : Acrolein has fruity odour and can be used to test glycerol's presence. Choose the correct…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.Among the following species $N_{2}, N_{2}^{+}, N_{2}^{-}, N_{2}^{2 -}, O_{2}, O_{2}^{+}, O_{2}^{-}, O_{2}^{2 -}$ the number of species showing diamagnesim is …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q13.The enthalpy of combustion of propane, graphite and dihydrogen at $- 2220.0 kJ mol^{- 1}, - 393.5 kJ mol^{- 1}$ are $- 2220.0 kJ mol^{- 1}, - 393.5 kJ mol^{- 1}$ and $- 285.8 kJ mol^{- 1}$ respectively. The…
Chemistry · Thermodynamics · Numerical
Q14.The cell potential for $Zn Zn^{2 +} (aq) Sn^{x +} Sn$ is $298 K$ at $1 0^{- 2}$ . The reaction quotient for the above reaction is $1 0^{- 2}$ . The number of…
Chemistry · Electrochemistry · Numerical
Q15.The half life for the decomposition of gaseous compound $A$ is $4.0$ when the gaseous pressure was 500 Torr initially. When the pressure was 250 Torr, the half life was found to be $4.0$ min. The order of the reaction…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q16.Consider the following metal complexes : $[Co (NH_{3})_{6}]^{3 +} [CoCl (NH_{3})_{5}]^{2 +} [Co (CN)_{6}]^{3 -} [Co (NH_{3})_{5} (H_{2} O)]^{3 +}$ …
Chemistry · Coordination Compounds · Numerical
Q17.Among $C o^{3 +}$ , $T i^{2 +}$ , $V^{2 +}$ and $C r^{2 +}$ ions, one if used as a reagent cannot liberate $H_{2}$ from dilute mineral acid solution, its spin-only magnetic moment in gaseous state is B.M. (Nearest integer)
Chemistry · D and F Block Elements · Numerical
Q18.While estimating the nitrogen present in an organic compound by Kjeldahl's method, the ammonia evolved from $2.5 mL$ of the compound neutralized $2 M H_{2} SO_{4}$ of $2 M H_{2} SO_{4}$ . The…
Chemistry · Practical Organic Chemistry · Numerical
Q19.The number of sp3 hybridised carbons in an acyclic neutral compound with molecular formula $C_{4} H_{5} N$ is .
Chemistry · Compounds Containing Nitrogen · Numerical
Q20.In the given reaction The number of chiral carbon/s in product A is . Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q21.The total number of functions, $f : {1, 2, 3, 4} \to {1, 2, 3, 4, 5, 6}$ such that $f (1) + f (2) = f (3)$ , is equal to :
Mathematics · Functions · MCQ
Q22.If $α, β, γ, δ$ are the roots of the equation $x^{4} + x^{3} + x^{2} + x + 1 = 0$ , then $α^{2021} + β^{2021} + γ^{2021} + δ^{2021}$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q23.For $n \in N$ , let $S_{n} = {z \in C : ∣ z - 3 + 2 i ∣ = \frac{n}{4}}$ and $T_{n} = {z \in C : ∣ z - 2 + 3 i ∣ = \frac{1}{n}}$ . Then the number…
Mathematics · Complex Numbers · MCQ
Q24.The number of $θ \in (0, 4 π)$ for which the system of linear equations $3 (sin 3 θ) x - y + z = 2 3 (cos 2 θ) x + 4 y + 3 z = 3 6 x + 7 y + 7 z = 9$ has no solution, is :
Mathematics · Matrices and Determinants · MCQ
Q25.If $n \to \infty lim (n^{2} - n - 1 + n α + β) = 0$ , then $8 (α + β)$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.If the absolute maximum value of the function $f (x) = (x^{2} - 2 x + 7) e^{(4 x^{3} - 12 x^{2} - 180 x + 31)}$ in the interval $[- 3, 0]$ is $f (α)$ , then :
Mathematics · Application of Derivatives · MCQ
Q27.The curve $y (x) = a x^{3} + b x^{2} + c x + 5$ touches the $x$ -axis at the point $P (- 2, 0)$ and cuts the $y$ -axis at the point $Q$ , where $y^{'}$ is equal to 3 . Then the local maximum value of $y (x)$ is:
Mathematics · Application of Derivatives · MCQ
Q28.The area of the region given by $A = {(x, y) : x^{2} \leq y \leq min {x + 2, 4 - 3 x}}$ is :
Mathematics · Area Under the Curves · MCQ
Q29.For any real number $x$ , let $[x]$ denote the largest integer less than equal to $x$ . Let $f$ be a real valued function defined on the interval $[- 10, 10]$ by $f (x) = {x - [x], if [x] is odd 1 + [x] - x, if [x] is even .$ …
Mathematics · Definite Integration · MCQ
Q30.The slope of the tangent to a curve $C : y = y (x)$ at any point $(x, y)$ on it is $\frac{2 e ^{2 x} - 6 e ^{- x} + 9}{2 + 9 e ^{- 2 x}}$ . If $C$ passes through the points $$\left(0, \frac{1}{2}+\frac{\pi}{2…
Mathematics · Differential Equations · MCQ
Q31.The general solution of the differential equation $(x - y^{2}) d x + y (5 x + y^{2}) d y = 0$ is :
Mathematics · Differential Equations · MCQ
Q32.A line, with the slope greater than one, passes through the point $A (4, 3)$ and intersects the line $x - y - 2 = 0$ at the point B. If the length of the line segment $A B$ is $\frac{29}{3}$ , then $B$ also lies on the line :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q33.Let the locus of the centre $(α, β), β > 0$ , of the circle which touches the circle $x^{2} + (y - 1)^{2} = 1$ externally and also touches the $x$ -axis be $L$ . Then the area bounded by $L$ and the line $y = 4$ is:
Mathematics · Area Under the Curves · MCQ
Q34.Let $ABC$ be a triangle such that $BC = a, CA = b, AB = c, ∣ a ∣ = 62, ∣ b ∣ = 23$ …
Mathematics · Vector Algebra · MCQ
Q35.If the numbers appeared on the two throws of a fair six faced die are $α$ and $β$ , then the probability that $x^{2} + α x + β > 0$ , for all $x \in R$ , is :
Mathematics · Probability · MCQ
Q36.Let $A = 211 - 1 0 - 1 - 1 - 1 0$ and $B = A - I$ . If $ω = \frac{3 i - 1}{2}$ , then the number of elements in the $set {n \in {1, 2, \dots, 100} : A^{n} + (ω B)^{n} = A + B}$ …
Mathematics · Matrices and Determinants · Numerical
Q37.The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is .
Mathematics · Permutations and Combinations · Numerical
Q38.If the maximum value of the term independent of $t$ in the expansion of $(t^{2} x^{\frac{1}{5}} + \frac{( 1 - x ) ^{\frac{1}{10}}}{t})^{15}, x ⩾ 0$ , is $K$ , then is equal to …
Mathematics · Binomial Theorem · Numerical
Q39.Let $p$ be two non-zero real numbers. If $p$ and $r$ are the roots of the equation $x^{2} - 8 a x + 2 a = 0$ and $q$ and s are the roots of the equation $x^{2} + 12 b x + 6 b = 0$ , such that $\frac{1}{p}, \frac{1}{q}, \frac{1}{r}, \frac{1}{s}$ …
Mathematics · Sequences and Series · Numerical
Q40.Let $f (x) = {4 x^{2} - 8 x + 5, if 8 x^{2} - 6 x + 1 ⩾ 0 [4 x^{2} - 8 x + 5], if 8 x^{2} - 6 x + 1 < 0,$ where $[α]$ denotes the greatest integer less…
Mathematics · Limits Continuity and Differentiability · Numerical
Q41.If momentum [P], area $[A]$ and time $[T]$ are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :
Physics · Units and Measurements · MCQ
Q42.Which of the following physical quantities have the same dimensions?
Physics · Current Electricity · MCQ
Q43.A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is $cos 13 5^{\circ} = - 0.7)$ , then the magnitude of displacement would be : (Given $cos 13 5^{\circ} = - 0.7)$ Includes diagram
Physics · Circular Motion · MCQ
Q44.A body of mass $v = (3 x^{2} + 4) m / s$ travels on straight line path with velocity $v = (3 x^{2} + 4) m / s$ . The net workdone by the force during its displacement from $x = 0$ to $x = 2 m$ is :
Physics · Work Power and Energy · MCQ
Q45.A solid cylinder and a solid sphere, having same mass $M$ and radius $R$ , roll down the same inclined plane from top without slipping. They start from rest. The ratio of velocity of the solid cylinder to that of the solid sphere, with…
Physics · Rotational Motion · MCQ
Q46.Three identical particles $C$ and $C$ of mass $AB = BC = 13 m$ each are placed in a straight line with $AB = BC = 13 m$ . The gravitational force on a fourth particle $P$ of…
Physics · Gravitation · MCQ
Q47.A certain amount of gas of volume $V$ at $2 7^{\circ} C$ temperature and pressure $2 \times 1 0^{7} Nm^{- 2}$ expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets…
Physics · Heat and Thermodynamics · MCQ
Q48.Following statements are given : (A) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (B) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature. (C)…
Physics · Heat and Thermodynamics · MCQ
Q49.In figure $(A)$ , mass ' $2 m^{’}$ is fixed on mass ' $m$ ' which is attached to two springs of spring constant $k$ . In figure (B), mass ' $m$ ' is attached to two springs of spring constant… Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q50.A condenser of $5 C$ capacitance is charged steadily from 0 to $5 C$ . Which of the following graph represents correctly the variation of potential difference $(V)$ across it's plates with respect to the…
Physics · Capacitor · MCQ
Q51.Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6 : 5$ and their respective masses ratio is $9 : 4$ …
Physics · Magnetics · MCQ
Q52.To increase the resonant frequency in series LCR circuit,
Physics · Alternating Current · MCQ
Q53.A small square loop of wire of side $l$ is placed inside a large square loop of wire $L (L >> l)$ . Both loops are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of… Includes diagram
Physics · Electromagnetic Induction · MCQ
Q54.The rms value of conduction current in a parallel plate capacitor is $230 V$ . The capacity of this capacitor, if it is connected to $600 rad / s$ ac supply with an angular frequency of $600 rad / s$ ,…
Physics · Electromagnetic Waves · MCQ
Q55.Which of the following statement is correct?
Physics · Geometrical Optics · MCQ
Q56.Time taken by light to travel in two different materials $A$ and $B$ of refractive indices $μ_{A}$ and $μ_{B}$ of same thickness is $t_{1}$ and $t_{2}$ respectively. If $t_{2} - t_{1} = 5 \times 1 0^{- 10}$ s and the ratio of $μ_{A}$ to $μ_{B}$ …
Physics · Geometrical Optics · MCQ
Q57.A metal exposed to light of wavelength $500 nm$ and and emits photoelectrons with a certain kinetic energy. The maximum kinetic energy of photo-electron doubles when light of wavelength $500 nm$ is used. The…
Physics · Dual Nature of Radiation · MCQ
Q58.The momentum of an electron revolving in $n^{th}$ orbit is given by : (Symbols have their usual meanings)
Physics · Atoms and Nuclei · MCQ
Q59.The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by :
Physics · Atoms and Nuclei · MCQ
Q60.In the circuit, the logical value of $A = 1$ or $B = 1$ when potential at $A$ or $B$ is $A = 0$ and the logical value of $A = 0$ or $B = 0$ when potential at $A$ or $B$ is $0 V$ . The truth table of the given circuit will be : Includes diagram
Physics · Electronic Devices · MCQ
Q61.A car is moving with speed of $150 km / h$ and after applying the break it will move $27 m$ before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after…
Physics · Motion in A Straight Line · Numerical
Q62.Four forces are acting at a point $P$ in equilibrium as shown in figure. The ratio of force $F_{1}$ to $F_{2}$ is $1 : x$ where $x =$ . Includes diagram
Physics · Laws of Motion · Numerical
Q63.A wire of length $L$ and radius $r$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $F$ , its length increases by $4 L$ . Another wire of the same material of length $4 L$ …
Physics · Properties of Matter · Numerical
Q64.A unit scale is to be prepared whose length does not change with temperature and remains $20 cm$ , using a bimetallic strip made of brass and iron each of different length. The length of both components would change in such a way…
Physics · Heat and Thermodynamics · Numerical
Q65.The volume charge density of a sphere of radius $2 μ C cm^{- 3}$ is $2 μ C cm^{- 3}$ . The number of lines of force per unit surface area coming out from the surface of the sphere is $\times 1 0^{10} NC^{- 1}$ …
Physics · Electrostatics · Numerical
Q66.In the given figure, the value of Vo will be V. Includes diagram
Physics · Current Electricity · Numerical
Q67.Eight copper wire of length $l$ and diameter $d$ are joined in parallel to form a single composite conductor of resistance $R$ . If a single copper wire of length $2 l$ have the same resistance $(R)$ then its diameter will be …
Physics · Current Electricity · Numerical
Q68.The energy band gap of semiconducting material to produce violet (wavelength = 4000 $A o$ ) LED is $eV$ . (Round off to the nearest integer).
Physics · Electronic Devices · Numerical