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2023 · 11 Apr · Shift 2

70 questions · JEE Main

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2023 · 11 Apr · Shift 2

2023 · 11 Apr · Shift 2

70 questions · JEE Main

Chemistry22 questions Mathematics20 questions Physics28 questions

P Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 3 questions Alcohols Phenols and EthersChemistry · 2 questions Coordination CompoundsChemistry · 4 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions SolutionsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions BiomoleculesChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Sequences and SeriesMathematics · 1 questions Binomial TheoremMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Complex NumbersMathematics · 2 questions Permutations and CombinationsMathematics · 1 questions Sets and RelationsMathematics · 1 questions StatisticsMathematics · 1 questions Definite IntegrationMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Differential EquationsMathematics · 1 questions FunctionsMathematics · 2 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Current ElectricityPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions MagneticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Electromagnetic InductionPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Geometrical OpticsPhysics · 2 questions CapacitorPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Properties of MatterPhysics · 3 questions Electronic DevicesPhysics · 1 questions Motion in A PlanePhysics · 1 questions Laws of MotionPhysics · 1 questions GravitationPhysics · 2 questions Vector AlgebraPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Rotational MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Alternating CurrentPhysics · 1 questions

Q1.Which one of the following pairs is an example of polar molecular solids?
Chemistry · P Block Elements · MCQ
Q2.The major product formed in the following reaction is Choose the correct answer from the options given below : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q3.Compound 'B' is Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : $[CoCl (NH_{3})_{5}]^{2 +}$ absorbs at lower wavelength of light with respect to $[Co (NH_{3})_{5} (H_{2} O)]^{3 +}$ …
Chemistry · Coordination Compounds · MCQ
Q5.If $Ni^{2 +}$ is replaced by $Pt^{2 +}$ in the complex $[NiCl_{2} Br_{2}]^{2 -}$ , which of the following properties are expected to get changed ? A. Geometry B. Geometrical isomerism C. Optical…
Chemistry · Coordination Compounds · MCQ
Q6.Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : A solution of the product obtained by heating a mole of glycine with a mole of chlorine in presence of red phosphorous…
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q7.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q8.What weight of glucose must be dissolved in $100 g$ of water to lower the vapour pressure by $0.20 mm Hg$ ? (Assume dilute solution is being formed) Given : Vapour pressure of pure water is $54.2 mm Hg$ …
Chemistry · Solutions · MCQ
Q9.A solution is prepared by adding $2 g$ of " $X$ " to 1 mole of water. Mass percent of " $X$ " in the solution is :
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q10.Compound from the following that will not produce precipitate on reaction with $AgNO_{3}$ is :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.The magnetic moment is measured in Bohr Magneton (BM). Spin only magnetic moment of $Fe$ in $[Fe (H_{2} O)_{6}]^{3 +}$ and $[Fe (CN)_{6}]^{3 -}$ …
Chemistry · Coordination Compounds · MCQ
Q12.Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. In the light of the above statements, choose the correct answer from the options given below: Includes diagram
Chemistry · Hydrocarbons · MCQ
Q13.For a chemical reaction $A + B \to$ Product, the order is 1 with respect to $A$ and $B$ . What is the value of $x$ and $y$ ? Includes table
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q14.Product [X] formed in the above reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q15.The number of possible isomeric products formed when 3-chloro-1-butene reacts with $HCl$ through carbocation formation is .
Chemistry · Hydrocarbons · Numerical
Q16.The maximum number of lone pairs of electrons on the central atom from the following species is . $ClO_{3}^{-}, XeF_{4}, SF_{4}$ and $I_{3}^{-}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.The total number of intensive properties from the following is Volume, Molar heat capacity, Molarity, $E^{θ}$ cell, Gibbs free energy change, Molar mass, Mole
Chemistry · Thermodynamics · Numerical
Q18.Number of compounds from the following which will not produce orange red precipitate with Benedict solution is . Glucose, maltose, sucrose, ribose, 2-deoxyribose, amylose, lactose
Chemistry · Biomolecules · Numerical
Q19.The number of correct statements from the following is . A. For $1 s$ orbital, the probability density is maximum at the nucleus B. For $2 s$ orbital, the probability density first increases to…
Chemistry · Structure of Atom · Numerical
Q20.4.5 moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, 3 moles of $HI$ were found. The equilibrium constant for $H_{2} (g) + I_{2} (g) ⇌ 2 HI (g)$ …
Chemistry · Chemical Equilibrium · Numerical
Q21.The number of correct statements from the following is A. $E_{cell}$ is an intensive parameter B. A negative $E^{⊖}$ means that the redox couple is a stronger reducing agent than…
Chemistry · Electrochemistry · Numerical
Q22.The volume of hydrogen liberated at STP by treating $2.4 g$ of magnesium with excess of hydrochloric acid is $\times 1 0^{- 2} L$ Given : Molar volume of gas is $22.4 L$ at STP. Molar…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q23.Let $a, b, c$ and $d$ be positive real numbers such that $a + b + c + d = 11$ . If the maximum value of $a^{5} b^{3} c^{2} d$ is $3750 β$ , then the value of $β$ is
Mathematics · Sequences and Series · MCQ
Q24.The sum of the coefficients of three consecutive terms in the binomial expansion of $(1 + x)^{n + 2}$ , which are in the ratio $1 : 3 : 5$ , is equal to :
Mathematics · Binomial Theorem · MCQ
Q25.If the system of linear equations $7 x + 11 y + α z = 13 5 x + 4 y + 7 z = β 175 x + 194 y + 57 z = 361$ has infinitely many solutions, then $α + β + 2$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q26.For $a \in C$ , let $A = {z \in C : Re (a + \overset{z}{ˉ}) > Im (\overset{a}{ˉ} + z)}$ and $B = {z \in C : Re (a + \overset{z}{ˉ}) (S 1) : I f$ \operatorname{Re}(a),…
Mathematics · Complex Numbers · MCQ
Q27.If the letters of the word MATHS are permuted and all possible words so formed are arranged as in a dictionary with serial numbers, then the serial number of the word THAMS is :
Mathematics · Permutations and Combinations · MCQ
Q28.Let $A = {1, 3, 4, 6, 9}$ and $B = {2, 4, 5, 8, 10}$ . Let $R$ be a relation defined on $A \times B$ such that $R = {((a_{1}, b_{1}), (a_{2}, b_{2})) : a_{1} \leq b_{2}$ …
Mathematics · Sets and Relations · MCQ
Q29.If the $101 1^{th}$ term from the end in the binominal expansion of $(\frac{4 x}{5} - \frac{5}{2 x})^{2022}$ is 1024 times $101 1^{th}$ R term from the beginning, then $∣ x ∣$ is equal to
Mathematics · Binomial Theorem · MCQ
Q30. $x + 1 x x x x + λ x x x x + λ^{2} = \frac{9}{8} (103 x + 81)$ , then $λ, \frac{λ}{3}$ are the roots of the equation :
Mathematics · Matrices and Determinants · MCQ
Q31.Let the mean of 6 observations $1, 2, 4, 5, x$ and $y$ be 5 and their variance be 10 . Then their mean deviation about the mean is equal to :
Mathematics · Statistics · MCQ
Q32.If $f : R \to R$ be a continuous function satisfying $\int_{0}^{\frac{π}{2}} f (sin 2 x) sin x d x + α \int_{0}^{\frac{π}{4}} f (cos 2 x) cos x d x = 0$ , then the value of $α$ is :
Mathematics · Definite Integration · MCQ
Q33.Let $f$ and $g$ be two functions defined by $f (x) = {x + 1, ∣ x - 1∣, x < 0 x \geq 0$ and $g (x) = {x + 1, 1, x < 0 x \geq 0$ Then $(g \circ f) (x)$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q34.Let $y = y (x)$ be the solution of the differential equation $\frac{d y}{d x} + \frac{5}{x ( x ^{5} + 1 )} y = \frac{( x ^{5} + 1 ) ^{2}}{x ^{7}}, x > 0$ . If $y (1) = 2$ , then $y (2)$ is equal to :
Mathematics · Differential Equations · MCQ
Q35.Let the function $f : [0, 2] \to R$ be defined as $f (x) = {e^{m i n {x^{2}, x - [x]},} e^{[x - l o g_{e} x]}, x \in [0, 1) x \in [1, 2]$ where $[t]$ denotes the greatest…
Mathematics · Definite Integration · MCQ
Q36.The domain of the function $f (x) = \frac{1}{[ x ] ^{2} - 3 [ x ] - 10}$ is : ( where $[x]$ denotes the greatest integer less than or equal to $x$ )
Mathematics · Functions · MCQ
Q37.Let $a = \hat{i} + 2 \hat{j} + 3 \hat{k}$ and $b = \hat{i} + \hat{j} - \hat{k}$ . If $c$ is a vector such that $a \cdot c = 11, b \cdot (a \times c) = 27$ and $b \cdot c = - 3 ∣ b ∣$ , then…
Mathematics · Vector Algebra · Numerical
Q38.Let $A = {1, 2, 3, 4, 5}$ and $B = {1, 2, 3, 4, 5, 6}$ . Then the number of functions $f : A \to B$ satisfying $f (1) + f (2) = f (4) - 1$ is equal to .
Mathematics · Functions · Numerical
Q39.Let the probability of getting head for a biased coin be $\frac{1}{4}$ . It is tossed repeatedly until a head appears. Let $N$ be the number of tosses required. If the probability that the equation $64 x^{2} + 5 Nx + 1 = 0$ …
Mathematics · Probability · Numerical
Q40.If A is the area in the first quadrant enclosed by the curve $C : 2 x^{2} - y + 1 = 0$ , the tangent to $C$ at the point $(1, 3)$ and the line $x + y = 1$ , then the value of $60 A$ is …
Mathematics · Area Under the Curves · Numerical
Q41.Let $S = {z \in C - {i, 2 i} : \frac{z ^{2} + 8 i z - 15}{z ^{2} - 3 i z - 2} \in R}$ . If $α - \frac{13}{11} i \in S, α \in R - {0}$ , then $242 α^{2}$ is equal to …
Mathematics · Complex Numbers · Numerical
Q42.The number of points, where the curve $f (x) = e^{8 x} - e^{6 x} - 3 e^{4 x} - e^{2 x} + 1, x \in R$ cuts $x$ -axis, is equal to .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q43.The current flowing through R $_{2}$ is : Includes diagram
Physics · Current Electricity · MCQ
Q44.A plane electromagnetic wave of frequency $20 MHz$ propagates in free space along $x$ -direction. At a particular space and time, $E = 6.6 \hat{j} V / m$ . What is $B$ …
Physics · Electromagnetic Waves · MCQ
Q45.An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid. A. The electron will experience magnetic force along the axis of the solenoid. B. The electron will not experience magnetic force.…
Physics · Magnetics · MCQ
Q46.The Thermodynamic process, in which internal energy of the system remains constant is
Physics · Heat and Thermodynamics · MCQ
Q47.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A: A bar magnet dropped through a metallic cylindrical pipe takes more time to come down compared to a…
Physics · Electromagnetic Induction · MCQ
Q48.The energy of $He^{+}$ ion in its first excited state is, (The ground state energy for the Hydrogen atom is $- 13.6 eV)$ :
Physics · Atoms and Nuclei · MCQ
Q49.When one light ray is reflected from a plane mirror with $3 0^{\circ}$ angle of reflection, the angle of deviation of the ray after reflection is :
Physics · Geometrical Optics · MCQ
Q50.A capacitor of capacitance $C$ is charged to a potential V. The flux of the electric field through a closed surface enclosing the positive plate of the capacitor is :
Physics · Capacitor · MCQ
Q51.The ratio of the de-Broglie wavelengths of proton and electron having same Kinetic energy : (Assume $m_{p} = m_{e} \times 1849$ )
Physics · Dual Nature of Radiation · MCQ
Q52.Eight equal drops of water are falling through air with a steady speed of $10 cm / s$ . If the drops coalesce, the new velocity is:-
Physics · Properties of Matter · MCQ
Q53.The logic operations performed by the given digital circuit is equivalent to: Includes diagram
Physics · Electronic Devices · MCQ
Q54.A projectile is projected at $3 0^{\circ}$ from horizontal with initial velocity $40 ms^{- 1}$ . The velocity of the projectile at $t = 2 s$ from the start will be : (Given $g = 10 m / s^{2}$ )
Physics · Motion in A Plane · MCQ
Q55.A body of mass $500 g$ moves along $x$ -axis such that it's velocity varies with displacement $x$ according to the relation $v = 10 x m / s$ the force acting on the body is:-
Physics · Laws of Motion · MCQ
Q56.A space ship of mass $2 \times 1 0^{4} kg$ is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to overcome the gravitational pull will be (if $g = 10 m / s^{2}$ …
Physics · Gravitation · MCQ
Q57.When vector $A = 2 \hat{i} + 3 \hat{j} + 2 \hat{k}$ is subtracted from vector $B$ , it gives a vector equal to $2 \hat{j}$ . Then the magnitude of vector $B$ will be :
Physics · Vector Algebra · MCQ
Q58.If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be :
Physics · Units and Measurements · MCQ
Q59.If $V$ is the gravitational potential due to sphere of uniform density on it's surface, then it's value at the center of sphere will be:-
Physics · Gravitation · MCQ
Q60.The root mean square speed of molecules of nitrogen gas at $2 7^{\circ} C$ is approximately : (Given mass of a nitrogen molecule $= 4.6 \times 1 0^{- 26} kg$ and take Boltzmann constant $k_{B} = 1.4 \times 1 0^{- 23} JK^{- 1}$ …
Physics · Heat and Thermodynamics · MCQ
Q61.As shown in the figure, a plane mirror is fixed at a height of $50 cm$ from the bottom of tank containing water $(μ = \frac{4}{3})$ . The height of water in the tank is $8 cm$ . A small bulb is placed at the… Includes diagram
Physics · Geometrical Optics · Numerical
Q62.A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular velocity $ω$ . A person sits at the center having two dumbbells in his hands. When he stretches…
Physics · Rotational Motion · Numerical
Q63.The surface tension of soap solution is $3.5 \times 1 0^{- 2} Nm^{- 1}$ . The amount of work done required to increase the radius of soap bubble from $10 cm$ to $20 cm$ is $\times 1 0^{- 4} J$ …
Physics · Properties of Matter · Numerical
Q64.A wire of density $8 \times 1 0^{3} kg / m^{3}$ is stretched between two clamps $0.5 m$ apart. The extension developed in the wire is $3.2 \times 1 0^{- 4} m$ . If $Y = 8 \times 1 0^{10} N / m^{2}$ …
Physics · Properties of Matter · Numerical
Q65.A metallic cube of side $15 cm$ moving along $y$ -axis at a uniform velocity of $2 ms^{- 1}$ . In a region of uniform magnetic field of magnitude $0.5 T$ directed along $z$ -axis. In equilibrium the potential… Includes diagram
Physics · Electromagnetic Induction · Numerical
Q66.A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is $1 : 2^{1/3}$ . Their respective speed have a ratio of $n : 1$ . The value of $n$ is .
Physics · Atoms and Nuclei · Numerical
Q67.A block of mass $5 kg$ starting from rest pulled up on a smooth incline plane making an angle of $3 0^{\circ}$ with horizontal with an affective acceleration of $1 ms^{- 2}$ . The power delivered by the pulling force at $t = 10 s$ …
Physics · Work Power and Energy · Numerical
Q68.In the given circuit, $C_{1} = 2 μ F, C_{2} = 0.2 μ F, C_{3} = 2 μ F, C_{4} = 4 μ F, C_{5} = 2 μ F, C_{6} = 2 μ F$ , The charge… Includes diagram
Physics · Capacitor · Numerical
Q69.A coil has an inductance of $2 H$ and resistance of $4 Ω$ . A $10 V$ is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be …
Physics · Alternating Current · Numerical
Q70.Two identical cells each of emf $1.5 V$ are connected in series across a $10 Ω$ resistance. An ideal voltmeter connected across $10 Ω$ resistance reads $1.5 V$ . The internal resistance of each cell is $Ω$ …
Physics · Current Electricity · Numerical