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2022 · 28 Jul · Shift 1

70 questions · JEE Main

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2022 · 28 Jul · Shift 1

2022 · 28 Jul · Shift 1

70 questions · JEE Main

Chemistry22 questions Mathematics24 questions Physics24 questions

Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions D and F Block ElementsChemistry · 3 questions Basics of Organic ChemistryChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 2 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Differential EquationsMathematics · 2 questions Inverse Trigonometric FunctionsMathematics · 2 questions Vector AlgebraMathematics · 2 questions CircleMathematics · 2 questions Sets and RelationsMathematics · 1 questions ProbabilityMathematics · 1 questions Binomial TheoremMathematics · 1 questions Complex NumbersMathematics · 1 questions Application of DerivativesMathematics · 1 questions FunctionsMathematics · 2 questions Definite IntegrationMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions StatisticsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Units and MeasurementsPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Center of MassPhysics · 1 questions Properties of MatterPhysics · 3 questions GravitationPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions WavesPhysics · 1 questions CapacitorPhysics · 1 questions Current ElectricityPhysics · 1 questions MagneticsPhysics · 2 questions Alternating CurrentPhysics · 2 questions Geometrical OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Electronic DevicesPhysics · 1 questions Vector AlgebraPhysics · 1 questions Wave OpticsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions

Q1.Identify the incorrect statement from the following.
Chemistry · Structure of Atom · MCQ
Q2.Which of the following relation is not correct?
Chemistry · Thermodynamics · MCQ
Q3.Match List - I with List - II. Choose the correct answer from the options given below: Includes table
Chemistry · Electrochemistry · MCQ
Q4.In which of the following pairs, electron gain enthalpies of constituent elements are nearly the same or identical? (A) Rb and Cs (B) Na and K (C) Ar and Kr (D) I and At Choose the correct answer from the options given below :
Chemistry · Periodic Table and Periodicity · MCQ
Q5.Match List - I with List - II, match the gas evolved during each reaction. Choose the correct answer from the options given below : Includes table
Chemistry · D and F Block Elements · MCQ
Q6.Which of the following has least tendency to liberate $H_{2}$ from mineral acids?
Chemistry · D and F Block Elements · MCQ
Q7.Match List - I with List - II. Choose the correct answer from the options given below : Includes table Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q8.Choose the correct option for the following reactions. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.Among the following marked proton of which compound shows lowest $pK_{a}$ value?
Chemistry · Basics of Organic Chemistry · MCQ
Q10.Identify the major products A and B for the below given reaction sequence. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q11.Identify the correct statement for the below given transformation. Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.For the below given cyclic hemiacetal (X), the correct pyranose structure is : Includes diagram
Chemistry · Biomolecules · MCQ
Q13.For kinetic study of the reaction of iodide ion with $H_{2} O_{2}$ at room temperature : (A) Always use freshly prepared starch solution. (B) Always keep the concentration of sodium thiosulphate solution less than that of…
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q14.In the given reaction, $X + Y + 3 Z ⇆ X Y Z_{3}$ if one mole of each of $X$ and $Y$ with $Z$ of $Z$ gives compound $X Y Z_{3}$ . (Given : Atomic masses of $Z$ and $Z$ are 10, 20 and 30 amu, respectively.) The…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q15.The number of paramagnetic species among the following is . $B_{2}, Li_{2}, C_{2}, C_{2}^{-}, O_{2}^{2 -}, O_{2}^{+}$ and $He_{2}^{+}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q16. $10.2 g$ of acetic acid was contaminated with $(C_{6} H_{8} O_{6})$ ascorbic acid $(C_{6} H_{8} O_{6})$ to lower down its freezing point by $(x \times 1 0^{- 1})^{\circ} C$ .…
Chemistry · Solutions · Numerical
Q17. $K_{a}$ for butyric acid $(C_{3} H_{7} COOH)$ is $2 \times 1 0^{- 5}$ . The $pH$ of $0.2 M$ solution of butyric acid is $\times 1 0^{- 1}$ .…
Chemistry · Ionic Equilibrium · Numerical
Q18.For the given first order reaction $A \to B$ the half life of the reaction is $2.0 min$ . The ratio of the initial concentration of reactant to the concentration of reactant at time $2.0 min$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.The number of interhalogens from the following having square pyramidal structure is : $ClF_{3}, IF_{7}, BrF_{5}, BrF_{3}, I_{2} Cl_{6}, IF_{5}, ClF, ClF_{5}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q20.The disproportionation of $MnO_{4}^{2 -}$ in acidic medium resulted in the formation of two manganese compounds $A$ and $B$ . If the oxidation state of $Mn$ in $B$ is smaller than that of A, then…
Chemistry · D and F Block Elements · Numerical
Q21.Total number of relatively more stable isomer(s) possible for octahedral complex $[Cu (en)_{2} (SCN)_{2}]$ will be .
Chemistry · Coordination Compounds · Numerical
Q22.On complete combustion of $C, H$ of an organic compound containing $O$ and $O$ , $CO_{2}$ of $CO_{2}$ and $H_{2} O$ of $H_{2} O$ was produced. The…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q23.Let the solution curve of the differential equation $x d y = (x^{2} + y^{2} + y) d x, x > 0$ , intersect the line $x = 1$ at $y = 0$ and the line $x = 2$ at $y = α$ . Then the value of $α$ is :
Mathematics · Differential Equations · MCQ
Q24.Considering only the principal values of the inverse trigonometric functions, the domain of the function $f (x) = cos^{- 1} (\frac{x ^{2} - 4 x + 2}{x ^{2} + 3})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q25.Let the vectors $a = (1 + t) \hat{i} + (1 - t) \hat{j} + \hat{k}, b = (1 - t) \hat{i} + (1 + t) \hat{j} + 2 \hat{k}$ and $c = t \hat{i} - t \hat{j} + \hat{k}, t \in R$ be such that for $α, β, γ \in R, α a + β b + γ c = 0 \Rightarrow α = β = γ = 0$ …
Mathematics · Vector Algebra · MCQ
Q26.Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation $cos^{- 1} (x) - 2 sin^{- 1} (x) = cos^{- 1} (2 x)$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q27.Let a vector $a$ has magnitude 9. Let a vector $b$ be such that for every $(x, y) \in R \times R - {(0, 0)}$ , the vector $(x a + y b)$ is perpendicular to the vector $(6 y a - 18 x b)$ . Then…
Mathematics · Vector Algebra · MCQ
Q28.For $t \in (0, 2 π)$ , if $ABC$ is an equilateral triangle with vertices $A (sin t, - cos t), B (cost, sin t)$ and $C (a, b)$ such that its orthocentre lies on a circle with centre…
Mathematics · Circle · MCQ
Q29.For $α \in N$ , consider a relation $R$ on $N$ given by $R = {(x, y) : 3 x + α y$ is a multiple of 7 $}$ . The relation $R$ is an equivalence relation if and only if :
Mathematics · Sets and Relations · MCQ
Q30.Out of $60%$ female and $40%$ male candidates appearing in an exam, $60%$ candidates qualify it. The number of females qualifying the exam is twice the number of males qualifying it. A candidate is randomly chosen from the qualified…
Mathematics · Probability · MCQ
Q31.If $y = y (x), x \in (0, π /2)$ be the solution curve of the differential equation $(sin^{2} 2 x) \frac{d y}{d x} + (8 sin^{2} 2 x + 2 sin 4 x) y = 2 e^{- 4 x} (2 sin 2 x + cos 2 x)$ , with $y (π /4) = e^{- π}$ …
Mathematics · Differential Equations · MCQ
Q32.Let $C$ be the centre of the circle $x^{2} + y^{2} - x + 2 y = \frac{11}{4}$ and $P$ be a point on the circle. A line passes through the point $C$ , makes an angle of $\frac{π}{4}$ with the line $CP$ and intersects the circle at…
Mathematics · Circle · MCQ
Q33.The remainder when $7^{2022} + 3^{2022}$ is divided by 5 is :
Mathematics · Binomial Theorem · MCQ
Q34.Let $S_{1} = {z_{1} \in C : ∣ z_{1} - 3 ∣ = \frac{1}{2}}$ and $S_{2} = {z_{2} \in C : ∣ z_{2} - ∣ z_{2} + 1∣∣ = ∣ z_{2} + ∣ z_{2} - 1∣∣}$ . Then, for $z_{1} \in S_{1}$ and $z_{2} \in S_{2}$ …
Mathematics · Complex Numbers · MCQ
Q35.If the minimum value of $f (x) = \frac{5 x ^{2}}{2} + \frac{α}{x ^{5}}, x > 0$ , is 14 , then the value of $α$ is equal to :
Mathematics · Application of Derivatives · MCQ
Q36.Let $γ$ and $γ$ be three positive real numbers. Let $f (x) = α x^{5} + β x^{3} + γ x, x \in R$ and $g : R \to R$ be such that $g (f (x)) = x$ for all $x \in R$ . If $a_{1}, a_{2}, a_{3}, \dots, a_{n}$ …
Mathematics · Functions · MCQ
Q37.The minimum value of the twice differentiable function $f (x) = 0 \int x e^{x - t} f^{'} (t) dt - (x^{2} - x + 1) e^{x}$ , $x \in R$ , is :
Mathematics · Definite Integration · MCQ
Q38.Let $S$ be the set of all passwords which are six to eight characters long, where each character is either an alphabet from ${A, B, C, D, E}$ or a number from ${1, 2, 3, 4, 5}$ with the repetition of characters allowed. If the number of…
Mathematics · Permutations and Combinations · Numerical
Q39.Let $P (- 2, - 1, 1)$ and $Q (\frac{56}{17}, \frac{43}{17}, \frac{111}{17})$ be the vertices of the rhombus PRQS. If the direction ratios of the diagonal RS are $α, - 1, β$ , where both $α$ and $β$ …
Mathematics · 3D Geometry · Numerical
Q40.Let $f : [0, 1] \to R$ be a twice differentiable function in $(0, 1)$ such that $f (0) = 3$ and $f (1) = 5$ . If the line $y = 2 x + 3$ intersects the graph of $f$ at only two distinct points in $(0, 1)$ , then the least number of points…
Mathematics · Limits Continuity and Differentiability · Numerical
Q41.If $0 \int 3 \frac{15 x ^{3}}{1 + x ^{2} + ( 1 + x ^{2} ) ^{3}} d x = α 2 + β 3$ , where $α + β$ are integers, then $α + β$ is equal to .
Mathematics · Definite Integration · Numerical
Q42.Let $A = [12 - 1 α]$ and $B = [β 1 10], α, β \in R$ . Let $α_{1}$ be the value of $α$ which…
Mathematics · Matrices and Determinants · Numerical
Q43.For $p, q \in R$ , consider the real valued function $f (x) = (x - p)^{2} - q, x \in R$ and $q > 0$ . Let $a_{1}$ , $a_{2^{'}} a_{3}$ and $a_{4}$ …
Mathematics · Functions · Numerical
Q44.Let $x_{1}, x_{2}, x_{3}, \dots, x_{20}$ be in geometric progression with $x_{1} = 3$ and the common ratio $\frac{1}{2}$ . A new data is constructed replacing each $x_{i}$ by $(x_{i} - i)^{2}$ . If $\overset{x}{ˉ}$ is the mean of new…
Mathematics · Statistics · Numerical
Q45. $x \to 0 lim (\frac{( x + 2 c o s x ) ^{3} + 2 ( x + 2 c o s x ) ^{2} + 3 s i n ( x + 2 c o s x )}{( x + 2 ) ^{3} + 2 ( x + 2 ) ^{2} + 3 s i n ( x + 2 )})^{\frac{100}{x}}$ is equal to .
Mathematics · Limits Continuity and Differentiability · Numerical
Q46.The sum of all real values of $x$ for which $\frac{3 x ^{2} - 9 x + 17}{x ^{2} + 3 x + 10} = \frac{5 x ^{2} - 7 x + 19}{3 x ^{2} + 5 x + 12}$ is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q47.The dimensions of $(\frac{B ^{2}}{μ _{0}})$ will be : (if $μ_{0}$ : permeability of free space and $B$ : magnetic field)
Physics · Units and Measurements · MCQ
Q48.A NCC parade is going at a uniform speed of $9 km / h$ under a mango tree on which a monkey is sitting at a height of $19.6 m$ . At any particular instant, the monkey drops a mango. A cadet will receive the…
Physics · Motion in A Straight Line · MCQ
Q49.In two different experiments, an object of mass $25 ms^{- 1}$ moving with a speed of $25 ms^{- 1}$ hits two different walls and comes to rest within (i) 3 second, (ii) 5 seconds, respectively. Choose the correct option out of…
Physics · Center of Mass · MCQ
Q50.A balloon has mass of $4.5 cm / s$ in air. The air escapes from the balloon at a uniform rate with velocity $4.5 cm / s$ . If the balloon shrinks in $5 s$ completely. Then, the average force acting on that…
Physics · Properties of Matter · MCQ
Q51.If the radius of earth shrinks by $2%$ while its mass remains same. The acceleration due to gravity on the earth's surface will approximately :
Physics · Gravitation · MCQ
Q52.The force required to stretch a wire of cross-section $1 cm^{2}$ to double its length will be : (Given Yong's modulus of the wire $= 2 \times 1 0^{11} N / m^{2}$ )
Physics · Properties of Matter · MCQ
Q53.Given below are two statements : Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature. Statement II : The rms speed of oxygen molecules in a gas is $v$ . If the temperature is doubled and the…
Physics · Heat and Thermodynamics · MCQ
Q54.In the wave equation $y = 0.5 sin \frac{2 π}{λ} (400 t - x) m$ the velocity of the wave will be:
Physics · Waves · MCQ
Q55.Two capacitors, each having capacitance $K$ are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant $K$ such that the equivalence capacitance of…
Physics · Capacitor · MCQ
Q56.A wire of resistance R1 is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is :
Physics · Current Electricity · MCQ
Q57.The current sensitivity of a galvanometer can be increased by : (A) decreasing the number of turns (B) increasing the magnetic field (C) decreasing the area of the coil (D) decreasing the torsional constant of the spring Choose the most…
Physics · Magnetics · MCQ
Q58.As shown in the figure, a metallic rod of linear density $0.45 kg m^{- 1}$ is lying horizontally on a smooth inclined plane which makes an angle of $4 5^{\circ}$ with the horizontal. The minimum current flowing in the rod… Includes diagram
Physics · Magnetics · MCQ
Q59.The equation of current in a purely inductive circuit is $5 sin (49 π t - 3 0^{\circ})$ . If the inductance is $30 mH$ then the equation for the voltage across the inductor, will be : ${$ Let $π = \frac{22}{7}}$ …
Physics · Alternating Current · MCQ
Q60.As shown in the figure, after passing through the medium 1 . The speed of light $v_{2}$ in medium 2 will be : $($ Given $c = 3 \times 1 0^{8} ms^{- 1}$ ) Includes diagram
Physics · Geometrical Optics · MCQ
Q61.In normal adujstment, for a refracting telescope, the distance between objective and eye piece is $30 cm$ . The focal length of the objective, when the angular magnification of the telescope is 2 , will be :
Physics · Geometrical Optics · MCQ
Q62.The equation $λ = \frac{1.227}{x} nm$ can be used to find the de-Brogli wavelength of an electron. In this equation $x$ stands for : Where $m =$ mass of electron $P =$ momentum of electron $K =$ …
Physics · Dual Nature of Radiation · MCQ
Q63.Identify the solar cell characteristics from the following options :
Physics · Electronic Devices · MCQ
Q64.If the projection of $2 \hat{i} + 4 \hat{j} - 2 \hat{k}$ on $\hat{i} + 2 \hat{j} + α \hat{k}$ is zero. Then, the value of $α$ will be .
Physics · Vector Algebra · Numerical
Q65.In a Young's double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes' separation of 7.2 mm. Now another light is used to produce an interference pattern with consecutive bright…
Physics · Wave Optics · Numerical
Q66.The frequencies at which the current amplitude in an LCR series circuit becomes $\frac{1}{2}$ times its maximum value, are $212 rad s^{- 1}$ and $232 rad s^{- 1}$ . The value of resistance in…
Physics · Alternating Current · Numerical
Q67.Two electric dipoles of dipole moments $1.2 \times 1 0^{- 30} Cm$ and $2.4 \times 1 0^{- 30} Cm$ are placed in two different uniform electric fields of strengths $5 \times 1 0^{4} NC^{- 1}$ and $15 \times 1 0^{4} NC^{- 1}$ …
Physics · Electrostatics · Numerical
Q68.The diameter of an air bubble which was initially $1750 kg m^{- 3}$ , rises steadily through a solution of density $1750 kg m^{- 3}$ at the rate of $0.35 cms^{- 1}$ . The coefficient of viscosity of the solution…
Physics · Properties of Matter · Numerical
Q69.A block of mass ' $m$ ' (as shown in figure) moving with kinetic energy E compresses a spring through a distance $nE Nm^{- 1}$ when, its speed is halved. The value of spring constant of used spring will be $nE Nm^{- 1}$ … Includes diagram
Physics · Work Power and Energy · Numerical
Q70.Four identical discs each of mass ' $M$ ' and diameter ' $a$ ' are arranged in a small plane as shown in figure. If the moment of inertia of the system about $OO^{'}$ is $\frac{x}{4} Ma^{2}$ . Then,… Includes diagram
Physics · Rotational Motion · Numerical