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2023 · 13 Apr · Shift 2

71 questions · JEE Main

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2023 · 13 Apr · Shift 2

2023 · 13 Apr · Shift 2

71 questions · JEE Main

Chemistry20 questions Mathematics23 questions Physics28 questions

ThermodynamicsChemistry · 1 questions Salt AnalysisChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions BiomoleculesChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions P Block ElementsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Redox ReactionsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Sequences and SeriesMathematics · 1 questions Vector AlgebraMathematics · 2 questions Permutations and CombinationsMathematics · 2 questions Complex NumbersMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions 3D GeometryMathematics · 1 questions Binomial TheoremMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Definite IntegrationMathematics · 2 questions FunctionsMathematics · 1 questions StatisticsMathematics · 1 questions Sets and RelationsMathematics · 1 questions DifferentiationMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Differential EquationsMathematics · 1 questions Motion in A Straight LinePhysics · 2 questions GravitationPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Properties of MatterPhysics · 1 questions Circular MotionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions CapacitorPhysics · 2 questions Wave OpticsPhysics · 1 questions Electronic DevicesPhysics · 1 questions ElectrostaticsPhysics · 2 questions Alternating CurrentPhysics · 1 questions Dual Nature of RadiationPhysics · 2 questions MagneticsPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Rotational MotionPhysics · 1 questions WavesPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions

Q1.What happens when methane undergoes combustion in systems A and B respectively? Includes diagram
Chemistry · Thermodynamics · MCQ
Q2.In the wet tests for detection of various cations by precipitation, $Ba^{2 +}$ cations are detected by obtaining precipitate of
Chemistry · Salt Analysis · MCQ
Q3.Compound $A$ from the following reaction sequence is: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.The total number of stereoisomers for the complex $[Cr (o x)_{2} ClBr]^{3 -}$ (where $o x =$ oxalate) is :
Chemistry · Coordination Compounds · MCQ
Q5.The major product for the following reaction is: Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q6.The naturally occurring amino acid that contains only one basic functional group in its chemical structure is
Chemistry · Biomolecules · MCQ
Q7.Which of the following complexes will exhibit maximum attraction to an applied magnetic field?
Chemistry · Coordination Compounds · MCQ
Q8.Given below are two statements : Statement I : $SO_{2}$ and $H_{2} O$ both possess V-shaped structure. Statement II : The bond angle of $SO_{2}$ is less than that of $H_{2} O$ . In the…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q9.The covalency and oxidation state respectively of boron in $[BF_{4}]^{-}$ , are :
Chemistry · P Block Elements · MCQ
Q10.Given below are two statements : Statement I : Tropolone is an aromatic compound and has $8 π$ electrons. Statement II : $π$ electrons of $> C = O$ group in tropolone is involved in aromaticity. In the light of the…
Chemistry · Basics of Organic Chemistry · MCQ
Q11.Match List I with List II 1 - Bromopropane is reacted with reagents in List I to give product in List II Choose the correct answer from the options given below: Includes table
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Order of acidic nature of the following compounds is A > B > C. Reason R : Fluoro is a stronger electron withdrawing… Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.A(g) $\to$ 2B(g) + C(g) is a first order reaction. The initial pressure of the system was found to be 800 mm Hg which increased to 1600 mm Hg after 10 min. The total pressure of the system after 30 min will be mm…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q14. $0.400 g$ of an organic compound $(X)$ gave $0.376 g$ of $AgBr$ in Carius method for estimation of bromine. $%$ of bromine in the compound $(X)$ is . (Given: Molar…
Chemistry · Practical Organic Chemistry · Numerical
Q15.See the following chemical reaction: $Cr_{2} O_{7}^{2 -} + XH^{+} + 6 F_{e}^{2 +} \to YCr^{3 +} + 6 F_{e}^{3 +} + Z H_{2} O$ The sum of $X, Y$ …
Chemistry · Redox Reactions · Numerical
Q16. $1 g$ of a carbonate $(M_{2} CO_{3})$ on treatment with excess $HCl$ produces $0.01 mol$ of $CO_{2}$ . The molar mass of $M_{2} CO_{3}$ is …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.The orbital angular momentum of an electron in $3 s$ orbital is $\frac{x h}{2 π}$ . The value of $x$ is (nearest integer)
Chemistry · Structure of Atom · Numerical
Q18.Sea water contains $29.25% NaCl$ and $19% MgCl_{2}$ by weight of solution. The normal boiling point of the sea water is $^{\circ} C$ (Nearest integer) Assume $100%$ ionization…
Chemistry · Solutions · Numerical
Q19.At $298 K$ , the standard reduction potential for $Cu^{2 +} / Cu$ electrode is $0.34 V$ . Given : $K_{sp} Cu (OH)_{2} = 1 \times 1 0^{- 20}$ Take $\frac{2.303 RT}{F} = 0.059 V$ …
Chemistry · Electrochemistry · Numerical
Q20.20 mL of $0.1 M NaOH$ is added to $50 mL$ of $0.1 M$ acetic acid solution. The $pH$ of the resulting solution is $\times 1 0^{- 2}$ (Nearest integer) Given : $pKa (CH_{3} COOH) = 4.76$ …
Chemistry · Ionic Equilibrium · Numerical
Q21.Let a $_{1}$ , a $_{2}$ , a $_{3}$ , .... be a G.P. of increasing positive numbers. Let the sum of its 6th and 8th terms be 2 and the product of its 3rd and 5th terms be $\frac{1}{9}$ . Then $6 (a_{2} + a_{4}) (a_{4} + a_{6})$ is equal to
Mathematics · Sequences and Series · MCQ
Q22.Let $∣ a ∣ = 2, ∣ b ∣ = 3$ and the angle between the vectors $a$ and $b$ be $\frac{π}{4}$ . Then $∣ (a + 2 b) \times (2 a - 3 b) ∣^{2}$ is equal to :
Mathematics · Vector Algebra · MCQ
Q23.All words, with or without meaning, are made using all the letters of the word MONDAY. These words are written as in a dictionary with serial numbers. The serial number of the word MONDAY is :
Mathematics · Permutations and Combinations · MCQ
Q24.Let $S = {z \in C : \overset{z}{ˉ} = i (z^{2} + Re (\overset{z}{ˉ}))}$ . Then $\sum_{z \in S} ∣ z ∣^{2}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q25.If $lim_{x \to 0} \frac{e ^{a x} - c o s ( b x ) - \frac{c x e ^{- c x}}{2}}{1 - c o s ( 2 x )} = 17$ , then $5 a^{2} + b^{2}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.The line, that is coplanar to the line $\frac{x + 3}{- 3} = \frac{y - 1}{1} = \frac{z - 5}{5}$ , is :
Mathematics · 3D Geometry · MCQ
Q27.The coefficient of $x^{5}$ in the expansion of $(2 x^{3} - \frac{1}{3 x ^{2}})^{5}$ is :
Mathematics · Binomial Theorem · MCQ
Q28.Let $α, β$ be the roots of the equation $x^{2} - 2 x + 2 = 0$ . Then $α^{14} + β^{14}$ is equal to
Mathematics · Quadratic Equation and Inequalities · MCQ
Q29.Let $(α, β)$ be the centroid of the triangle formed by the lines $15 x - y = 82, 6 x - 5 y = - 4$ and $9 x + 4 y = 17$ . Then $α + 2 β$ and $2 α - β$ are the roots of the equation :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q30.If the system of equations $2 x + y - z = 52 x - 5 y + λ z = μx + 2 y - 5 z = 7$ has infinitely many solutions, then $(λ + μ)^{2} + (λ - μ)^{2}$ is equal to
Mathematics · Matrices and Determinants · MCQ
Q31.The area of the region ${(x, y) : x^{2} \leq y \leq x^{2} - 4, y \geq 1}$ is
Mathematics · Area Under the Curves · MCQ
Q32.The value of $\frac{e ^{- \frac{π}{4}} + 0 \int \frac{π}{4} e ^{- x} t a n ^{50} x d x}{0 \int \frac{π}{4} e ^{- x} ( t a n ^{49} x + t a n ^{51} x ) d x}$ is
Mathematics · Definite Integration · MCQ
Q33.The range of $f (x) = 4 sin^{- 1} (\frac{x ^{2}}{x ^{2} + 1})$ is
Mathematics · Functions · MCQ
Q34.Let for a triangle $ABC$ , $AB = - 2 \hat{i} + \hat{j} + 3 \hat{k} CB = α \hat{i} + β \hat{j} + γ \hat{k} CA = 4 \hat{i} + 3 \hat{j} + δ \hat{k}$ If $δ > 0$ …
Mathematics · Vector Algebra · MCQ
Q35.The mean and standard deviation of the marks of 10 students were found to be 50 and 12 respectively. Later, it was observed that two marks 20 and 25 were wrongly read as 45 and 50 respectively. Then the correct variance is …
Mathematics · Statistics · Numerical
Q36.Let $A = {- 4, - 3, - 2, 0, 1, 3, 4}$ and $R = {(a, b) \in A \times A : b = ∣ a ∣$ or $b^{2} = a + 1}$ be a relation on $A$ . Then the minimum number of elements, that must be added to…
Mathematics · Sets and Relations · Numerical
Q37.Let $f_{n} = \int_{0}^{\frac{π}{2}} (\sum_{k = 1}^{n} sin^{k - 1} x) (\sum_{k = 1}^{n} (2 k - 1) sin^{k - 1} x) cos x d x, n \in N$ . Then $f_{21} - f_{20}$ is equal to
Mathematics · Definite Integration · Numerical
Q38.The remainder, when $7^{103}$ is divided by 17, is
Mathematics · Binomial Theorem · Numerical
Q39.Let $f (x) = \sum_{k = 1}^{10} k x^{k}, x \in R$ . If $2 f (2) + f^{'} (2) = 119 (2)^{n} + 1$ then $n$ is equal to
Mathematics · Differentiation · Numerical
Q40.For $x \in (- 1, 1]$ , the number of solutions of the equation $sin^{- 1} x = 2 tan^{- 1} x$ is equal to .
Mathematics · Inverse Trigonometric Functions · Numerical
Q41.If $y = y (x)$ is the solution of the differential equation $\frac{d y}{d x} + \frac{4 x}{( x ^{2} - 1 )} y = \frac{x + 2}{( x ^{2} - 1 ) ^{\frac{5}{2}}}, x > 1$ such that $y (2) = \frac{2}{9} lo g_{e} (2 + 3) and y (2) = α lo g_{e} (α + β) + β - γ, α, β, γ \in N, then α β γ is equal to$ …
Mathematics · Differential Equations · Numerical
Q42.Let $[α]$ denote the greatest integer $\leq α$ . Then $[1] + [2] + [3] + \dots + [120]$ is equal to
Mathematics · Quadratic Equation and Inequalities · Numerical
Q43.Total numbers of 3-digit numbers that are divisible by 6 and can be formed by using the digits $1, 2, 3, 4, 5$ with repetition, is .
Mathematics · Permutations and Combinations · Numerical
Q44.The distance travelled by an object in time $t$ is given by $s = (2.5) t^{2}$ . The instantaneous speed of the object at $t = 5 s$ will be:
Physics · Motion in A Straight Line · MCQ
Q45.Given below are two statements: Statement I : For a planet, if the ratio of mass of the planet to its radius increases, the escape velocity from the planet also increases. Statement II : Escape velocity is independent of the radius of the…
Physics · Gravitation · MCQ
Q46.In the equation $[X + \frac{a}{Y ^{2}}] [Y - b] = R T, X$ is pressure, $Y$ is volume, $R$ is universal gas constant and $T$ is temperature. The physical quantity equivalent to the ratio $\frac{a}{b}$ is:
Physics · Units and Measurements · MCQ
Q47.The initial pressure and volume of an ideal gas are P $_{0}$ and V $_{0}$ . The final pressure of the gas when the gas is suddenly compressed to volume $\frac{V _{0}}{4}$ will be : (Given $γ$ = ratio of specific heats at constant pressure and…
Physics · Heat and Thermodynamics · MCQ
Q48.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : A spherical body of radius $(5 \pm 0.1) mm$ having a particular density is falling through a…
Physics · Properties of Matter · MCQ
Q49.A vehicle of mass $200 kg$ is moving along a levelled curved road of radius $70 m$ with angular velocity of $0.2 rad / s$ . The centripetal force acting on the vehicle is:
Physics · Circular Motion · MCQ
Q50.Two planets A and B of radii $R$ and 1.5 R have densities $ρ$ and $ρ /2$ respectively. The ratio of acceleration due to gravity at the surface of $B$ to $A$ is:
Physics · Gravitation · MCQ
Q51.In an electromagnetic wave, at an instant and at particular position, the electric field is along the negative $z$ -axis and magnetic field is along the positive $x$ -axis. Then the direction of propagation of electromagnetic wave is:
Physics · Electromagnetic Waves · MCQ
Q52.In the network shown below, the charge accumulated in the capacitor in steady state will be: Includes diagram
Physics · Capacitor · MCQ
Q53.In a Young's double slits experiment, the ratio of amplitude of light coming from slits is $2 : 1$ . The ratio of the maximum to minimum intensity in the interference pattern is:
Physics · Wave Optics · MCQ
Q54.The mean free path of molecules of a certain gas at STP is $1500 d$ , where $d$ is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at $373 K$ is…
Physics · Heat and Thermodynamics · MCQ
Q55.The output from NAND gate having inputs A and B given below will be, Includes diagram
Physics · Electronic Devices · MCQ
Q56.A $10 μ C$ charge is divided into two parts and placed at $1 cm$ distance so that the repulsive force between them is maximum. The charges of the two parts are:
Physics · Electrostatics · MCQ
Q57.Given below are two statements: Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor. Statement II : An AC circuit containing a pure capacitor or a pure inductor consumes high power…
Physics · Alternating Current · MCQ
Q58.Given below are two statements: Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a metallic surface. Statement II : Above the threshold…
Physics · Dual Nature of Radiation · MCQ
Q59.An electron is moving along the positive $x$ -axis. If the uniform magnetic field is applied parallel to the negative z-axis, then A. The electron will experience magnetic force along positive y-axis B. The electron will experience…
Physics · Magnetics · MCQ
Q60.A particle executes SHM of amplitude A. The distance from the mean position when its's kinetic energy becomes equal to its potential energy is :
Physics · Simple Harmonic Motion · MCQ
Q61.A passenger sitting in a train A moving at $90 km / h$ observes another train $B$ moving in the opposite direction for $8 s$ . If the velocity of the train B is $54 km / h$ , then…
Physics · Motion in A Straight Line · MCQ
Q62.Three point charges $q, - 2 q$ and $2 q$ are placed on $x$ -axis at a distance $x = 0, x = \frac{3}{4} R$ and $x = R$ respectively from origin as shown. If $q = 2 \times 1 0^{- 6} C$ and $R = 2 cm$ … Includes diagram
Physics · Electrostatics · Numerical
Q63.An atom absorbs a photon of wavelength $500 nm$ and emits another photon of wavelength $600 nm$ . The net energy absorbed by the atom in this process is $n \times 1 0^{- 4} eV$ . The value of n is …
Physics · Dual Nature of Radiation · Numerical
Q64.A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled with a force of 52.5 N. The angular acceleration of the cylinder will be rad s $^{- 2}$ .
Physics · Rotational Motion · Numerical
Q65.A straight wire $AB$ of mass $40 g$ and length $50 cm$ is suspended by a pair of flexible leads in uniform magnetic field of magnitude $0.40 T$ as shown in the figure. The magnitude of the current… Includes diagram
Physics · Magnetics · Numerical
Q66.Two plates $A$ and $B$ have thermal conductivities $84 Wm^{- 1} K^{- 1}$ and $126 Wm^{- 1} K^{- 1}$ respectively. They have same surface area and same thickness. They are placed in…
Physics · Heat and Thermodynamics · Numerical
Q67.In an experiment with sonometer when a mass of $180 g$ is attached to the string, it vibrates with fundamental frequency of $30 Hz$ . When a mass $m$ is attached, the string vibrates with fundamental frequency…
Physics · Waves · Numerical
Q68.An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area $24 cm^{2}$ . The two ends of the wire are connected to a resistor. The total resistance in the circuit is $12 Ω$ .…
Physics · Electromagnetic Induction · Numerical
Q69.In the circuit shown, the energy stored in the capacitor is $n μ J$ . The value of $n$ is Includes diagram
Physics · Capacitor · Numerical
Q70.A bi convex lens of focal length $10 cm$ is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is D.
Physics · Geometrical Optics · Numerical
Q71.A car accelerates from rest to $u m / s$ . The energy spent in this process is E J. The energy required to accelerate the car from $u m / s$ to $2 um / s$ is $nE J$ .…
Physics · Work Power and Energy · Numerical