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2023 · 6 Apr · Shift 2

73 questions · JEE Main

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2023 · 6 Apr · Shift 2

2023 · 6 Apr · Shift 2

73 questions · JEE Main

Chemistry23 questions Mathematics21 questions Physics29 questions

Salt AnalysisChemistry · 1 questions D and F Block ElementsChemistry · 3 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions HydrocarbonsChemistry · 2 questions Structure of AtomChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions Coordination CompoundsChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions BiomoleculesChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions ElectrochemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions SolutionsChemistry · 1 questions Binomial TheoremMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Complex NumbersMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Differential EquationsMathematics · 1 questions Definite IntegrationMathematics · 2 questions EllipseMathematics · 1 questions ProbabilityMathematics · 1 questions FunctionsMathematics · 1 questions StatisticsMathematics · 1 questions HyperbolaMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions 3D GeometryMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Application of DerivativesMathematics · 1 questions Motion in A Straight LinePhysics · 1 questions Geometrical OpticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Electromagnetic WavesPhysics · 1 questions Properties of MatterPhysics · 2 questions Electronic DevicesPhysics · 1 questions Alternating CurrentPhysics · 1 questions Current ElectricityPhysics · 3 questions Circular MotionPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions ElectrostaticsPhysics · 1 questions Atoms and NucleiPhysics · 2 questions GravitationPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions CapacitorPhysics · 1 questions Work Power and EnergyPhysics · 1 questions MagneticsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Rotational MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions

Q1.Formation of which complex, among the following, is not a confirmatory test of $Pb^{2 +}$ ions :
Chemistry · Salt Analysis · MCQ
Q2.Element not present in Nessler's reagent is :
Chemistry · D and F Block Elements · MCQ
Q3.Consider the following reaction that goes from A to B in three steps as shown below: Choose the correct option Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q4.Find out the major product from the following reaction. Includes diagram
Chemistry · Hydrocarbons · MCQ
Q5.If the radius of the first orbit of hydrogen atom is $α_{0}$ , then de Broglie's wavelength of electron in $3^{rd}$ orbit is :
Chemistry · Structure of Atom · MCQ
Q6.Which one of the following elements will remain as liquid inside pure boiling water?
Chemistry · Periodic Table and Periodicity · MCQ
Q7.Given below are two statements: one is labelled as "Assertion A" and the other is labelled as "Reason R" Assertion A : In the complex $Ni (CO)_{4}$ and $Fe (CO)_{5}$ , the metals have zero oxidation state.…
Chemistry · D and F Block Elements · MCQ
Q8.Group-13 elements react with $O_{2}$ in amorphous form to form oxides of type $M_{2} O_{3} (M =$ element). Which among the following is the most basic oxide?
Chemistry · Periodic Table and Periodicity · MCQ
Q9.During the reaction of permanganate with thiosulphate, the change in oxidation of manganese occurs by value of 3. Identify which of the below medium will favour the reaction.
Chemistry · D and F Block Elements · MCQ
Q10.In the following reaction, 'B' is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q11.The IUPAC name of $K_{3} [Co (C_{2} O_{4})_{3}]$ is:-
Chemistry · Coordination Compounds · MCQ
Q12.The strongest acid from the following is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Biomolecules · MCQ
Q14.From the figure of column chromatography given below, identify incorrect statements. A. Compound 'c' is more polar than 'a' and 'b' B. Compound ' $a$ ' is least polar C. Compound 'b' comes out of the column before 'c' and after 'a'… Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q15.The volume of $0.02 M$ aqueous $HBr$ required to neutralize $0.01 M$ of $0.01 M$ aqueous $Ba (OH)_{2}$ is (Assume complete neutralization)
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q16.The number of species having a square planar shape from the following is . $XeF_{4}, SF_{4}, SiF_{4}, BF_{4}^{-}, BrF_{4}^{-}, [Cu (NH_{3})_{4}]^{2 +}, [FeCl_{4}]^{2 -}, [PtCl_{4}]^{2 -}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.The standard reduction potentials at $NO_{3}^{-} + 4 H^{+} + 3 e^{-} \to NO (g) + 2 H_{2} O E^{θ} = 0.97 V V^{2 +} (aq) + 2 e^{-} \to V E^{θ} = - 1.19 V Fe^{3 +} (aq) + 3 e^{-} \to Fe E^{θ} = - 0.04 V Ag^{+} (aq) + e^{-} \to Ag (s) E^{θ} = 0.80 V Au^{3 +} (aq) + 3 e^{-} \to Au (s) E^{θ} = 1.40 V$ for the following half cells are given below: $NO_{3}^{-} + 4 H^{+} + 3 e^{-} \to NO (g) + 2 H_{2} O E^{θ} = 0.97 V V^{2 +} (aq) + 2 e^{-} \to V E^{θ} = - 1.19 V Fe^{3 +} (aq) + 3 e^{-} \to Fe E^{θ} = - 0.04 V Ag^{+} (aq) + e^{-} \to Ag (s) E^{θ} = 0.80 V Au^{3 +} (aq) + 3 e^{-} \to Au (s) E^{θ} = 1.40 V$ …
Chemistry · Electrochemistry · Numerical
Q18.Consider the following data Heat of combustion of $H_{2} (g) = - 241.8 kJ mol^{- 1}$ Heat of combustion of $C (s) = - 393.5 kJ mol^{- 1}$ Heat of…
Chemistry · Thermodynamics · Numerical
Q19.Number of isomeric aromatic amines with molecular formula $C_{8} H_{11} N$ , which can be synthesized by Gabriel Phthalimide synthesis is .
Chemistry · Compounds Containing Nitrogen · Numerical
Q20.The equilibrium composition for the reaction $PCl_{3} + Cl_{2} ⇌ PCl_{5}$ at $[PCl_{3}]_{eq} = 0.2 mol L^{- 1}, [Cl_{2}]_{eq} = 0.1 mol L^{- 1}, [PCl_{5}]_{eq} = 0.40 mol L^{- 1}$ is given below: $[PCl_{3}]_{eq} = 0.2 mol L^{- 1}, [Cl_{2}]_{eq} = 0.1 mol L^{- 1}, [PCl_{5}]_{eq} = 0.40 mol L^{- 1}$ …
Chemistry · Chemical Equilibrium · Numerical
Q21.In an ice crystal, each water molecule is hydrogen bonded to neighbouring molecules.
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q22.Among the following, the number of compounds which will give positive iodoform reaction is (a) 1-Phenylbutan-2-one (b) 2-Methylbutan-2-ol (c) 3-Methylbutan-2-ol (d) 1-Phenylethanol (e) 3,3-dimethylbutan-2-one (f)…
Chemistry · Alcohols Phenols and Ethers · Numerical
Q23.Consider the following pairs of solution which will be isotonic at the same temperature. The number of pairs of solutions is / are . A. $1 M$ aq. $NaCl$ and $2 M$ aq. urea B. $1 M$ …
Chemistry · Solutions · Numerical
Q24.If the coefficient of $x^{7}$ in $(a x^{2} + \frac{1}{2 b x})^{11}$ and $x^{- 7}$ in $(a x - \frac{1}{3 b x ^{2}})^{11}$ are equal, then :
Mathematics · Binomial Theorem · MCQ
Q25.The area bounded by the curves $y = ∣ x - 1∣ + ∣ x - 2∣$ and $y = 3$ is equal to :
Mathematics · Area Under the Curves · MCQ
Q26.All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers. Then the serial number of the word PUBLIC is :
Mathematics · Permutations and Combinations · MCQ
Q27.Let $a e q b$ be two non-zero real numbers. Then the number of elements in the set $X = {z \in C : Re (a z^{2} + b z) = a$ and $Re (b z^{2} + a z) = b}$ is equal…
Mathematics · Complex Numbers · MCQ
Q28.Let $P$ be a square matrix such that $P^{2} = I - P$ . For $α, β, γ, δ \in N$ , if $P^{α} + P^{β} = γ I - 29 P$ and $P^{α} - P^{β} = δ I - 13 P$ , then $α + β + γ - δ$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q29.Among the statements : (S1) : $202 3^{2022} - 199 9^{2022}$ is divisible by 8 (S2) : $13 (13)^{n} - 12 n - 13$ is divisible by 144 for infinitely many $n \in N$
Mathematics · Binomial Theorem · MCQ
Q30.If the solution curve $f (x, y) = 0$ of the differential equation $(1 + lo g_{e} x) \frac{d x}{d y} - x lo g_{e} x = e^{y}, x > 0$ , passes through the points $(1, 0)$ and $(α, 2)$ , then $α^{α}$ is equal to :
Mathematics · Differential Equations · MCQ
Q31.Let $f (x)$ be a function satisfying $f (x) + f (π - x) = π^{2}, \forall x \in R$ . Then $\int_{0}^{π} f (x) sin x d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q32. $lim_{n \to \infty} {(2^{\frac{1}{2}} - 2^{\frac{1}{3}}) (2^{\frac{1}{2}} - 2^{\frac{1}{5}}) \dots .. (2^{\frac{1}{2}} - 2^{\frac{1}{2 n + 1}})}$ is equal to :
Mathematics · Definite Integration · MCQ
Q33.In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who speak only English is $α$ and the number of persons who speak only Hindi is $β$ ,…
Mathematics · Ellipse · MCQ
Q34.Three dice are rolled. If the probability of getting different numbers on the three dice is $\frac{p}{q}$ , where $p$ and $q$ are co-prime, then $q - p$ is equal to :
Mathematics · Probability · MCQ
Q35.For the system of equations $x + y + z = 6 x + 2 y + α z = 10 x + 3 y + 5 z = β$ , which one of the following is NOT true?
Mathematics · Matrices and Determinants · MCQ
Q36.Let the sets A and B denote the domain and range respectively of the function $f (x) = \frac{1}{⌈ x ⌉ - x}$ , where $⌈ x ⌉$ denotes the smallest integer greater than or equal to $x$ . Then among the statements (S1) : $A \cap B = (1, \infty) - N$ …
Mathematics · Functions · MCQ
Q37.If the mean and variance of the frequency distribution are 9 and 15.08 respectively, then the value of $α^{2} + β^{2} - α β$ is . Includes table
Mathematics · Statistics · Numerical
Q38.Let the eccentricity of an ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ is reciprocal to that of the hyperbola $2 x^{2} - 2 y^{2} = 1$ . If the ellipse intersects the hyperbola at right angles, then square of length of the latus-rectum…
Mathematics · Hyperbola · Numerical
Q39.The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed from the letters of the word UNIVERSE without repetition is .
Mathematics · Permutations and Combinations · Numerical
Q40.The value of $tan 9^{\circ} - tan 2 7^{\circ} - tan 6 3^{\circ} + tan 8 1^{\circ}$ is .
Mathematics · Trigonometric Ratio and Identites · Numerical
Q41.For $α, β, z \in C$ and $λ > 1$ , if $λ - 1$ is the radius of the circle $∣ z - α ∣^{2} + ∣ z - β ∣^{2} = 2 λ$ , then $∣ α - β ∣$ is equal to .
Mathematics · Complex Numbers · Numerical
Q42.If the lines $\frac{x - 1}{2} = \frac{2 - y}{- 3} = \frac{z - 3}{α}$ and $\frac{x - 4}{5} = \frac{y - 1}{2} = \frac{z}{β}$ intersect, then the magnitude of the minimum value of $8 α β$ is .
Mathematics · 3D Geometry · Numerical
Q43.If $(20)^{19} + 2 (21) (20)^{18} + 3 (21)^{2} (20)^{17} + \dots + 20 (21)^{19} = k (20)^{19}$ , then $k$ is equal to .
Mathematics · Sequences and Series · Numerical
Q44.The number of points, where the curve $y = x^{5} - 20 x^{3} + 50 x + 2$ crosses the $x$ -axis, is .
Mathematics · Application of Derivatives · Numerical
Q45.A particle starts with an initial velocity of $10.0 ms^{- 1}$ along $x$ -direction and accelerates uniformly at the rate of $2.0 ms^{- 2}$ . The time taken by the particle to reach the velocity of $60.0 ms^{- 1}$ …
Physics · Motion in A Straight Line · MCQ
Q46.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The phase difference of two light waves change if they travel through different media having same thickness, but different…
Physics · Geometrical Optics · MCQ
Q47.The temperature of an ideal gas is increased from $800 K$ to $200 K$ . If r.m.s. speed of gas at $v_{0}$ is $v_{0}$ . Then, r.m.s. speed of the gas at $800 K$ will be:
Physics · Heat and Thermodynamics · MCQ
Q48.The energy density associated with electric field $E$ and magnetic field $B$ of an electromagnetic wave in free space is given by $(ϵ_{0} -$ permittivity of free space, $μ_{0} -$ permeability of free space)
Physics · Electromagnetic Waves · MCQ
Q49.A 2 meter long scale with least count of $80 cm$ is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at $80 cm$ …
Physics · Geometrical Optics · MCQ
Q50.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is…
Physics · Properties of Matter · MCQ
Q51.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Diffusion current in a p-n junction is greater than the drift current in magnitude if the junction is forward biased. Reason…
Physics · Electronic Devices · MCQ
Q52.A capacitor of capacitance $150.0 μ F$ is connected to an alternating source of emf given by $E = 36 sin (120 π t) V$ . The maximum value of current in the circuit is approximately equal to :
Physics · Alternating Current · MCQ
Q53.Figure shows a part of an electric circuit. The potentials at points $c$ and $c$ are $30 V, 12 V$ and $20 Ω$ respectively. The current through the $20 Ω$ resistor will be, Includes diagram
Physics · Current Electricity · MCQ
Q54.As shown in the figure, a particle is moving with constant speed $π m / s$ . Considering its motion from $A$ to $B$ , the magnitude of the average velocity is : Includes diagram
Physics · Circular Motion · MCQ
Q55.The work functions of Aluminium and Gold are $5.1 eV$ and and $5.1 eV$ respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is
Physics · Dual Nature of Radiation · MCQ
Q56.A body cools in 7 minutes from $6 0^{\circ} C$ to $4 0^{\circ} C$ . The temperature of the surrounding is $1 0^{\circ} C$ . The temperature of the body after the next 7 minutes will be:
Physics · Heat and Thermodynamics · MCQ
Q57.A dipole comprises of two charged particles of identical magnitude $q$ and opposite in nature. The mass 'm' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance…
Physics · Electrostatics · MCQ
Q58.The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:
Physics · Heat and Thermodynamics · MCQ
Q59.A student is provided with a variable voltage source $V$ , a test resistor $R_{T} = 10 Ω$ , two identical galvanometers $G_{1}$ and $G_{2}$ and two additional resistors, $R_{1} = 10 M Ω$ and $R_{2} = 0.001 Ω$ . For…
Physics · Current Electricity · MCQ
Q60.A small particle of mass $m$ moves in such a way that its potential energy $U = \frac{1}{2} m ω^{2} r^{2}$ where $ω$ is constant and $r$ is the distance of the particle from origin. Assuming Bohr's quantization of momentum and…
Physics · Atoms and Nuclei · MCQ
Q61.A child of mass $3.14 s$ is going round a merry-go-round that makes 1 rotation in $2 m$ . The radius of the merry-go-round is $2 m$ . The centrifugal force on the child will be
Physics · Circular Motion · MCQ
Q62.The weight of a body on the surface of the earth is $100 N$ . The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the earth is:
Physics · Gravitation · MCQ
Q63.Choose the incorrect statement from the following:
Physics · Gravitation · MCQ
Q64.Experimentally it is found that $\frac{9}{x} \times 1 0^{- 10} m$ energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius of the electron in a hydrogen atom is $\frac{9}{x} \times 1 0^{- 10} m$ . The…
Physics · Atoms and Nuclei · Numerical
Q65.Two concentric circular coils with radii $1000 cm$ and $\times 1 0^{- 8} H$ , and number of turns 10 and 200 respectively are placed coaxially with centers coinciding. The mutual inductance of this arrangement will be $\times 1 0^{- 8} H$ …
Physics · Electromagnetic Induction · Numerical
Q66.As shown in the figure, two parallel plate capacitors having equal plate area of $200 cm^{2}$ are joined in such a way that $a e q b$ . The equivalent capacitance of the combination is $x \in_{0} F$ . The value of $x$ is … Includes diagram
Physics · Capacitor · Numerical
Q67.A body is dropped on ground from a height ' $h_{1}$ ' and after hitting the ground, it rebounds to a height ' $h_{2}$ '. If the ratio of velocities of the body just before and after hitting ground is 4 , then percentage loss in kinetic energy…
Physics · Work Power and Energy · Numerical
Q68.As shown in the figure, the voltmeter reads $5 Ω$ across $5 Ω$ resistor. The resistance of the voltmeter is $Ω$ . Includes diagram
Physics · Current Electricity · Numerical
Q69.A proton with a kinetic energy of $\frac{π}{2} \times 1 0^{- 3} T$ moves into a region of uniform magnetic field of magnitude $\frac{π}{2} \times 1 0^{- 3} T$ . The angle between the direction of magnetic field and velocity of proton is $6 0^{\circ}$ …
Physics · Magnetics · Numerical
Q70.A simple pendulum with length $250 g$ and bob of mass $10 cm$ is executing S.H.M. of amplitude $\frac{x}{40} N$ . The maximum tension in the string is found to be $\frac{x}{40} N$ . The value of $x$ is …
Physics · Simple Harmonic Motion · Numerical
Q71.A metal block of mass $m$ is suspended from a rigid support through a metal wire of diameter $7 \times 1 0^{5} Nm^{- 2}$ . The tensile stress developed in the wire under equilibrium state is $7 \times 1 0^{5} Nm^{- 2}$ . The value of…
Physics · Properties of Matter · Numerical
Q72.A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The axis of rotation is perpendicular to plane of ring. The ratio of radius of ring to that of sphere is $\frac{2}{x}$ . The…
Physics · Rotational Motion · Numerical
Q73.A beam of light consisting of two wavelengths $7000 A o$ and $5500 A o$ is used to obtain interference pattern in Young's double slit experiment. The distance between the slits is $2.5 mm$ and the…
Physics · Wave Optics · Numerical