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2023 · 10 Apr · Shift 2

66 questions · JEE Main

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2023 · 10 Apr · Shift 2

2023 · 10 Apr · Shift 2

66 questions · JEE Main

Chemistry20 questions Mathematics18 questions Physics28 questions

Compounds Containing NitrogenChemistry · 2 questions Basics of Organic ChemistryChemistry · 1 questions Periodic Table and PeriodicityChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Coordination CompoundsChemistry · 3 questions Alcohols Phenols and EthersChemistry · 2 questions Practical Organic ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Redox ReactionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Binomial TheoremMathematics · 2 questions Application of DerivativesMathematics · 1 questions Definite IntegrationMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 2 questions CircleMathematics · 1 questions Sets and RelationsMathematics · 1 questions Differential EquationsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Motion in A Straight LinePhysics · 1 questions Electronic DevicesPhysics · 1 questions Rotational MotionPhysics · 2 questions ElectrostaticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions Magnetic Properties of MatterPhysics · 2 questions Motion in A PlanePhysics · 1 questions WavesPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 2 questions Wave OpticsPhysics · 1 questions Properties of MatterPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Units and MeasurementsPhysics · 1 questions CapacitorPhysics · 1 questions MagneticsPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Current ElectricityPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions

Q1.The major product 'P' formed in the given reaction is: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q2.The decreasing order of hydride affinity for following carbocations is: Choose the correct answer from the options given below: Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.In the reaction given below: The product 'X' is: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : The energy required to form $Mg^{2 +}$ from $Mg$ is much higher than that required to…
Chemistry · Periodic Table and Periodicity · MCQ
Q5.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : $3.1500 g$ of hydrated oxalic acid dissolved in water to make $250.0 mL$ solution…
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q6.The correct order of the number of unpaired electrons in the given complexes is A. $[Fe (CN)_{6}]^{3 -}$ B. $[Fe F_{6}]^{3 -}$ C. $[CoF_{6}]^{3 -}$ D. $[Cr (oxalate)_{3}]^{3 -}$ …
Chemistry · Coordination Compounds · MCQ
Q7.The correct order for acidity of the following hydroxyl compound is : A. $CH_{3} OH$ B. $(CH_{3})_{3} COH$ C. D. E. Choose the correct answer from the options given below: Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q8.Incorrect method of preparation for alcohols from the following is:
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Coordination Compounds · MCQ
Q10.In Carius tube, an organic compound ' $X$ ' is treated with sodium peroxide to form a mineral acid 'Y'. The solution of $BaCl_{2}$ is added to ' $Y$ ' to form a precipitate 'Z'. 'Z' is used for the quantitative…
Chemistry · Practical Organic Chemistry · MCQ
Q11.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q12.An aqueous solution of volume $300 cm^{3}$ contains $0.63 g$ of protein. The osmotic pressure of the solution at $300 K$ is 1.29 mbar. The molar mass of the protein is $g mol^{- 1}$ …
Chemistry · Solutions · Numerical
Q13.The number of molecules from the following which contain only two lone pair of electrons is $H_{2} O, N_{2}, CO, XeF_{4}, NH_{3}, NO, CO_{2}, F_{2}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q14.For a metal ion, the calculated magnetic moment is $4.90 BM$ . This metal ion has number of unpaired electrons.
Chemistry · Coordination Compounds · Numerical
Q15.In alkaline medium, the reduction of permanganate anion involves a gain of electrons.
Chemistry · Redox Reactions · Numerical
Q16.The number of incorrect statement/s from the following is A. The successive half lives of zero order reactions decreases with time. B. A substance appearing as reactant in the chemical equation may not affect the…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q17.The electron in the $n^{th}$ orbit of $Li^{2 +}$ is excited to $(n + 1)$ orbit using the radiation of energy $1.47 \times 1 0^{- 17} J$ (as shown in the diagram). The value of $n$ is … Includes diagram
Chemistry · Structure of Atom · Numerical
Q18.The number of endothermic process/es from the following is . A. $I_{2} (g) \to 2 I (g)$ B. $HCl (g) \to H (g) + Cl (g)$ …
Chemistry · Thermodynamics · Numerical
Q19. $A (g) ⇌ 2 B (g) + C (g)$ For the given reaction, if the initial pressure is $450 mm Hg$ and the pressure at time $t$ is $720 mm Hg$ at a constant…
Chemistry · Chemical Equilibrium · Numerical
Q20.The specific conductance of $0.0025 M$ acetic acid is $5 \times 1 0^{- 5} S cm^{- 1}$ at a certain temperature. The dissociation constant of acetic acid is $\times 1 0^{- 7}$ (Nearest…
Chemistry · Electrochemistry · Numerical
Q21.Let $S = {z = x + i y : \frac{2 z - 3 i}{4 z + 2 i} is a real number}$ . Then which of the following is NOT correct?
Mathematics · Complex Numbers · MCQ
Q22.Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways, in which they can be transported, is :
Mathematics · Permutations and Combinations · MCQ
Q23.Let the number $(22)^{2022} + (2022)^{22}$ leave the remainder $α$ when divided by 3 and $β$ when divided by 7. Then $(α^{2} + β^{2})$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q24.Let $g (x) = f (x) + f (1 - x)$ and $f^{''} (x) > 0, x \in (0, 1)$ . If $g$ is decreasing in the interval $(0, a)$ and increasing in the interval $(α, 1)$ , then $tan^{- 1} (2 α) + tan^{- 1} (\frac{1}{α}) + tan^{- 1} (\frac{α + 1}{α})$ …
Mathematics · Application of Derivatives · MCQ
Q25.If the coefficients of $x$ and $x^{2}$ in $(1 + x)^{p} (1 - x)^{q}$ are 4 and $-$ 5 respectively, then $2 p + 3 q$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q26.Let $f$ be a continuous function satisfying $\int_{0}^{t^{2}} (f (x) + x^{2}) d x = \frac{4}{3} t^{3}, \forall t > 0$ . Then $f (\frac{π ^{2}}{4})$ is equal to :
Mathematics · Definite Integration · MCQ
Q27.For $α, β, γ, δ \in N$ , if $\int ((\frac{x}{e})^{2 x} + (\frac{e}{x})^{2 x}) lo g_{e} x d x = \frac{1}{α} (\frac{x}{e})^{β x} - \frac{1}{γ} (\frac{e}{x})^{δ x} + C$ …
Mathematics · Indefinite Integrals · MCQ
Q28.Let $μ$ be the mean and $σ$ be the standard deviation of the distribution where $\sum f_{i} = 62$ . If $[x]$ denotes the greatest integer $\leq x$ , then $[μ^{2} + σ^{2}]$ is equal to : Includes table
Mathematics · Statistics · MCQ
Q29.Let $a = 2 \hat{i} + 7 \hat{j} - \hat{k}, b = 3 \hat{i} + 5 \hat{k}$ and $c = \hat{i} - \hat{j} + 2 \hat{k}$ . Let $d$ be a vector which is perpendicular to both $a$ and $b$ , and $c \cdot d = 12$ . Then $(- \hat{i} + \hat{j} - \hat{k}) \cdot (c \times d)$ …
Mathematics · Vector Algebra · MCQ
Q30.If the points $P$ and $Q$ are respectively the circumcenter and the orthocentre of a $△ ABC$ , then $PA + PB + PC$ is equal to :
Mathematics · Vector Algebra · MCQ
Q31.Let A be the point $(1, 2)$ and B be any point on the curve $x^{2} + y^{2} = 16$ . If the centre of the locus of the point P, which divides the line segment $AB$ in the ratio $3 : 2$ is the point C $(α, β)$ , then the length of…
Mathematics · Circle · MCQ
Q32.Let $A = {2, 3, 4}$ and $B = {8, 9, 12}$ . Then the number of elements in the relation $R = {((a_{1}, b_{1}), (a_{2}, b_{2})) \in (A \times B, A \times B) : a_{1}$ …
Mathematics · Sets and Relations · MCQ
Q33.Let the tangent at any point P on a curve passing through the points (1, 1) and $(\frac{1}{10}, 100)$ , intersect positive $x$ -axis and $y$ -axis at the points A and B respectively. If $PA : PB = 1 : k$ and…
Mathematics · Differential Equations · Numerical
Q34.If the area of the region ${(x, y) : x^{2} - 2 \leq y \leq x}$ is $A$ , then $6 A + 162$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q35.The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to .
Mathematics · Permutations and Combinations · Numerical
Q36.Let $S$ be the set of values of $λ$ , for which the system of equations $6 λ x - 3 y + 3 z = 4 λ^{2}$ , $2 x + 6 λ y + 4 z = 1$ , $3 x + 2 y + 3 λ z = λ$ has no solution. Then $12 \sum_{i \in S} ∣ λ ∣$ is equal…
Mathematics · Matrices and Determinants · Numerical
Q37.If the domain of the function $f (x) = sec^{- 1} (\frac{2 x}{5 x + 3})$ is $[α, β) U (γ, δ]$ , then $∣3 α + 10 (β + γ) + 21 δ ∣$ is equal to .
Mathematics · Inverse Trigonometric Functions · Numerical
Q38.Let the equations of two adjacent sides of a parallelogram $ABCD$ be $2 x - 3 y = - 23$ and $5 x + 4 y = 23$ . If the equation of its one diagonal $AC$ is $3 x + 7 y = 23$ and the distance of A from the other diagonal is $d$ ,…
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q39.A person travels $x$ distance with velocity $v_{1}$ and then $x$ distance with velocity $v_{2}$ in the same direction. The average velocity of the person is $v$ , then the relation between $v, v_{1}$ and $v_{2}$ will be.
Physics · Motion in A Straight Line · MCQ
Q40.If each diode has a forward bias resistance of $25 Ω$ in the below circuit, Which of the following options is correct : Includes diagram
Physics · Electronic Devices · MCQ
Q41.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : An electric fan continues to rotate for some time after the current is switched off. Reason R : Fan…
Physics · Rotational Motion · MCQ
Q42.In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor
Physics · Electrostatics · MCQ
Q43.A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be,
Physics · Heat and Thermodynamics · MCQ
Q44.A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time the magnet will
Physics · Magnetic Properties of Matter · MCQ
Q45.Two projectiles are projected at $3 0^{\circ}$ and $6 0^{\circ}$ with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:
Physics · Motion in A Plane · MCQ
Q46.A gas is compressed adiabatically, which one of the following statement is NOT true.
Physics · Heat and Thermodynamics · MCQ
Q47.For a periodic motion represented by the equation $y = sin ω t + cos ω t$ the amplitude of the motion is
Physics · Waves · MCQ
Q48.The amplitude of magnetic field in an electromagnetic wave propagating along y-axis is $6.0 \times 1 0^{- 7} T$ . The maximum value of electric field in the electromagnetic wave is
Physics · Electromagnetic Waves · MCQ
Q49.The time period of a satellite, revolving above earth's surface at a height equal to $R$ will be (Given $g = π^{2} m / s^{2}, R =$ radius of earth)
Physics · Gravitation · MCQ
Q50.Given below are two statements: Statement I : For diamagnetic substance, $$-1 \leq \chi Statement II : Diamagnetic substances when placed in an external magnetic field, tend to move from stronger to weaker part of the field. In the light…
Physics · Magnetic Properties of Matter · MCQ
Q51.The ratio of intensities at two points $P$ and $Q$ on the screen in a Young's double slit experiment where phase difference between two waves of same amplitude are $π /3$ and $π /2$ , respectively are
Physics · Wave Optics · MCQ
Q52.Young's moduli of the material of wires A and B are in the ratio of $1 : 4$ , while its area of cross sections are in the ratio of $1 : 3$ . If the same amount of load is applied to both the wires, the amount of elongation produced in the…
Physics · Properties of Matter · MCQ
Q53.The variation of stopping potential $(V_{0})$ as a function of the frequency $(v)$ of the incident light for a metal is shown in figure. The work function of the surface is Includes diagram
Physics · Dual Nature of Radiation · MCQ
Q54.Given below are two statements: Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g) Statement II : The effect of rotation of the earth on the value of 'g' at the equator is minimum and that at…
Physics · Gravitation · MCQ
Q55.In an experiment with vernier callipers of least count $0.1 mm$ , when two jaws are joined together the zero of vernier scale lies right to the zero of the main scale and 6th division of vernier scale coincides with the main scale…
Physics · Units and Measurements · MCQ
Q56.The distance between two plates of a capacitor is $d$ and its capacitance is $C_{1}$ , when air is the medium between the plates. If a metal sheet of thickness $\frac{2 d}{3}$ and of the same area as plate is introduced…
Physics · Capacitor · MCQ
Q57.A force of $- P \hat{k}$ acts on the origin of the coordinate system. The torque about the point $(2, - 3)$ is $P (a \hat{i} + b \hat{j})$ , The ratio of $\frac{a}{b}$ is $\frac{x}{2}$ . The value of $x$ is -
Physics · Rotational Motion · Numerical
Q58.A straight wire carrying a current of $14 A$ is bent into a semi-circular arc of radius $2.2 cm$ as shown in the figure. The magnetic field produced by the current at the centre $(O)$ of the arc. is … Includes diagram
Physics · Magnetics · Numerical
Q59.A rectangular block of mass $5 kg$ attached to a horizontal spiral spring executes simple harmonic motion of amplitude $1 m$ and time period $3.14 s$ . The maximum force exerted by spring on block is …
Physics · Simple Harmonic Motion · Numerical
Q60.A square loop of side $2.0 cm$ is placed inside a long solenoid that has 50 turns per centimetre and carries a sinusoidally varying current of amplitude $2.5 A$ and angular frequency $700 ~\mathrm{rad}…
Physics · Electromagnetic Induction · Numerical
Q61.If the maximum load carried by an elevator is $1400 kg$ ( $600 kg$ - Passengers + 800 $kg$ - elevator), which is moving up with a uniform speed of $3 m s^{- 1}$ and the frictional force acting on…
Physics · Work Power and Energy · Numerical
Q62.An electron revolves around an infinite cylindrical wire having uniform linear charge density $2 \times 1 0^{- 8} C m^{- 1}$ in circular path under the influence of attractive electrostatic field as shown in the figure. The… Includes diagram
Physics · Electrostatics · Numerical
Q63.A rectangular parallelopiped is measured as $1 cm \times 1 cm \times 100 cm$ . If its specific resistance is $3 \times 1 0^{- 7} Ω m$ , then the resistance between its two opposite rectangular…
Physics · Current Electricity · Numerical
Q64.Figure below shows a liquid being pushed out of the tube by a piston having area of cross section $2.0 cm^{2}$ . The area of cross section at the outlet is $10 mm^{2}$ . If the piston is pushed at a speed of $4 cm s^{- 1}$ … Includes diagram
Physics · Properties of Matter · Numerical
Q65.A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses $L_{1}$ and $L_{2}$ with focal length $24 cm$ and $9 cm$ respectively. The distance between two lenses is $10 cm$ … Includes diagram
Physics · Geometrical Optics · Numerical
Q66.If 917 $A o$ be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be $A o$ .
Physics · Atoms and Nuclei · Numerical