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2023 · 8 Apr · Shift 2

66 questions · JEE Main

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2023 · 8 Apr · Shift 2

2023 · 8 Apr · Shift 2

66 questions · JEE Main

Chemistry21 questions Mathematics20 questions Physics25 questions

Coordination CompoundsChemistry · 2 questions Basics of Organic ChemistryChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 2 questions Practical Organic ChemistryChemistry · 2 questions Structure of AtomChemistry · 2 questions Redox ReactionsChemistry · 2 questions S Block ElementsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions SolutionsChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Complex NumbersMathematics · 1 questions Binomial TheoremMathematics · 2 questions Indefinite IntegralsMathematics · 1 questions ProbabilityMathematics · 1 questions Sets and RelationsMathematics · 1 questions StatisticsMathematics · 1 questions Vector AlgebraMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Definite IntegrationMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions FunctionsMathematics · 2 questions Differential EquationsMathematics · 1 questions Properties of MatterPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Work Power and EnergyPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions GravitationPhysics · 2 questions Current ElectricityPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions ElectrostaticsPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions Motion in A PlanePhysics · 1 questions Wave OpticsPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions WavesPhysics · 1 questions Rotational MotionPhysics · 1 questions MagneticsPhysics · 1 questions CapacitorPhysics · 1 questions

Q1.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Coordination Compounds · MCQ
Q2.The correct IUPAC nomenclature for the following compound is: Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Major product ' $P$ ' formed in the following reaction is: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q4.A compound ' $X$ ' when treated with phthalic anhydride in presence of concentrated $H_{2} SO_{4}$ yields ' $Y$ '. ' $Y$ ' is used as an acid/base indicator. ' $X$ ' and ' $Y$ ' are…
Chemistry · Practical Organic Chemistry · MCQ
Q5.Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is Given $v =$ frequency of $X$ -ray emitted Z = atomic number
Chemistry · Structure of Atom · MCQ
Q6.Given below are two statements: Statement I : In redox titration, the indicators used are sensitive to change in $pH$ of the solution. Statement II : In acid-base titration, the indicators used are sensitive to change in oxidation…
Chemistry · Redox Reactions · MCQ
Q7.For a good quality cement, the ratio of lime to the total of the oxides of $Si, Al$ and $Fe$ should be as close as to :
Chemistry · S Block Elements · MCQ
Q8.The correct order of reactivity of following haloarenes towards nucleophilic substitution with aqueous $NaOH$ is : Choose the correct answer from the options given below: Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q9.The correct reaction profile diagram for a positive catalyst reaction.
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q10.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Biomolecules · MCQ
Q11.The product ( $P$ ) formed from the following multistep reaction is: Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.The descending order of acidity for the following carboxylic acid is- A. $CH_{3} COOH$ B. $F_{3} C - COOH$ C. $ClCH_{2} - COOH$ D. $FCH_{2} - COOH$ E. $BrCH_{2} - COOH$ …
Chemistry · Basics of Organic Chemistry · MCQ
Q13.Given below are two statements: Statement I : Methyl orange is a weak acid. Statement II : The benzenoid form of methyl orange is more intense/deeply coloured than the quinonoid form. In the light of the above statement, choose the most…
Chemistry · Practical Organic Chemistry · MCQ
Q14.The number of species from the following carrying a single lone pair on central atom Xenon is . $XeF_{5}^{+}, XeO_{3}, XeO_{2} F_{2}, XeF_{5}^{-}, XeO_{3} F_{2}, XeOF_{4}, XeF_{4}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q15.The observed magnetic moment of the complex $[Mn (\underline{N} C S)_{6})]^{x^{-}}$ is $x$ . The numerical value of $x$ is .
Chemistry · Coordination Compounds · Numerical
Q16.The solubility product of $BaSO_{4}$ is $1 \times 1 0^{- 10}$ at $BaSO_{4}$ . The solubility of $BaSO_{4}$ in $0.1 M K_{2} SO_{4} (aq)$ solution is $\times 1 0^{- 9} g L^{- 1}$ …
Chemistry · Ionic Equilibrium · Numerical
Q17.If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio $2 : 1$ and their enthalpy of vaporizations are in the ratio $1 : 2$ , then the boiling point elevation constant of $X$ is $\underline{m}$ …
Chemistry · Solutions · Numerical
Q18.For complete combustion of ethene. $C_{2} H_{4} (g) + 3 O_{2} (g) \to 2 CO_{2} (g) + 2 H_{2} O (l)$ the amount of heat produced as measured in bomb…
Chemistry · Thermodynamics · Numerical
Q19.The number of atomic orbitals from the following having 5 radial nodes is . $7 s, 7 p, 6 s, 8 p, 8 d$
Chemistry · Structure of Atom · Numerical
Q20.The sum of oxidation state of the metals in $Fe (CO)_{5}, VO^{2 +}$ and $WO_{3}$ is .
Chemistry · Redox Reactions · Numerical
Q21.The number of incorrect statements from the following is . A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy. B. $E_{cell}^{\circ}$ …
Chemistry · Electrochemistry · Numerical
Q22.Let $A = {θ \in (0, 2 π) : \frac{1 + 2 i s i n θ}{1 - i s i n θ}$ is purely imaginary $}$ . Then the sum of the elements in $A$ is :
Mathematics · Complex Numbers · MCQ
Q23. $2 5^{190} - 1 9^{190} - 8^{190} + 2^{190}$ is divisible by :
Mathematics · Binomial Theorem · MCQ
Q24.The integral $\int [(\frac{x}{2})^{x} + (\frac{2}{x})^{x}] ln (\frac{e x}{2}) d x$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q25.If the probability that the random variable $X$ takes values $x$ is given by $P (X = x) = k (x + 1) 3^{- x}, x = 0, 1, 2, 3, \dots$ , where $k$ is a constant, then $P (X \geq 2)$ is equal…
Mathematics · Probability · MCQ
Q26.Let $A = {1, 2, 3, 4, 5, 6, 7}$ . Then the relation $R = {(x, y) \in A \times A : x + y = 7}$ is :
Mathematics · Sets and Relations · MCQ
Q27.Let the mean and variance of 12 observations be $\frac{9}{2}$ and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is $\frac{m}{n}$ , where…
Mathematics · Statistics · MCQ
Q28.The absolute difference of the coefficients of $x^{10}$ and $x^{7}$ in the expansion of $(2 x^{2} + \frac{1}{2 x})^{11}$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q29.The area of the quadrilateral $ABCD$ with vertices $A (2, 1, 1), B (1, 2, 5), C (- 2, - 3, 5)$ and $D (1, - 6, - 7)$ is equal to :
Mathematics · Vector Algebra · MCQ
Q30.If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which $C$ and $S$ do not come together, is $(6!) k$ , then $k$ is equal to :
Mathematics · Permutations and Combinations · MCQ
Q31.If $A = [1 λ 510], A^{- 1} = α A + β I$ and $α + β = - 2$ , then $4 α^{2} + β^{2} + λ^{2}$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q32.If $α > β > 0$ are the roots of the equation $a x^{2} + b x + 1 = 0$ , and $lim_{x \to \frac{1}{α}} (\frac{1 - c o s ( x ^{2} + b x + a )}{2 ( 1 - α x ) ^{2}})^{\frac{1}{2}} = \frac{1}{k} (\frac{1}{β} - \frac{1}{α}), then k is equal to$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q33.The value of $36 (4 cos^{2} 9^{\circ} - 1) (4 cos^{2} 2 7^{\circ} - 1) (4 cos^{2} 8 1^{\circ} - 1) (4 cos^{2} 24 3^{\circ} - 1)$ is :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q34.Let S be the set of all values of $θ \in [- π, π]$ for which the system of linear equations $x + y + 3 z = 0 - x + (tan θ) y + 7 z = 0 x + y + (tan θ) z = 0$ has non-trivial solution. Then $\frac{120}{π} \sum_{θ \in s} θ$ …
Mathematics · Matrices and Determinants · MCQ
Q35.Let $[t]$ denote the greatest integer function. If $\int_{0}^{2.4} [x^{2}] d x = α + β 2 + γ 3 + δ 5$ , then $α + β + γ + δ$ is equal to .
Mathematics · Definite Integration · Numerical
Q36.Let the area enclosed by the lines $x + y = 2, y = 0, x = 0$ and the curve $f (x) = min {x^{2} + \frac{3}{4}, 1 + [x]}$ where $[x]$ denotes the greatest integer $A$ , be $A$ . Then the value of is …
Mathematics · Area Under the Curves · Numerical
Q37.Let m and $n$ be the numbers of real roots of the quadratic equations $x^{2} - 12 x + [x] + 31 = 0$ and $x^{2} - 5∣ x + 2∣ - 4 = 0$ respectively, where $[x]$ denotes the greatest integer $m^{2} + mn + n^{2}$ . Then $m^{2} + mn + n^{2}$ …
Mathematics · Quadratic Equation and Inequalities · Numerical
Q38.Let $R = {a, b, c, d, e}$ and $S = {1, 2, 3, 4}$ . Total number of onto functions $f : R \to S$ such that $f (a) e q 1$ , is equal to …
Mathematics · Functions · Numerical
Q39.Let $k$ and $m$ be positive real numbers such that the function $f (x) = {3 x^{2} + k x + 1, m x^{2} + k^{2}, 0 < x < 1 x \geq 1$ is differentiable for all $x > 0$ …
Mathematics · Limits Continuity and Differentiability · Numerical
Q40.Let the solution curve $x = x (y), 0 < y < \frac{π}{2}$ , of the differential equation $(lo g_{e} (cos y))^{2} cos y d x - (1 + 3 x lo g_{e} (cos y)) sin y d y = 0$ satisfy $x (\frac{π}{3}) = \frac{1}{2 l o g _{e} 2}$ …
Mathematics · Differential Equations · Numerical
Q41.If domain of the function $lo g_{e} (\frac{6 x ^{2} + 5 x + 1}{2 x - 1}) + cos^{- 1} (\frac{2 x ^{2} - 3 x + 4}{3 x - 5})$ is $(α, β) \cup (γ, δ]$ , then…
Mathematics · Functions · Numerical
Q42.A hydraulic automobile lift is designed to lift vehicles of mass $250 cm^{2}$ . The area of cross section of the cylinder carrying the load is $250 cm^{2}$ . The maximum pressure the smaller piston would have to bear is $[$ …
Physics · Properties of Matter · MCQ
Q43.An emf of $10 cm$ is induced in a metal rod of length $0.4 T$ held normal to a uniform magnetic field of $0.4 T$ , when moves with a velocity of:
Physics · Electromagnetic Induction · MCQ
Q44.For particle P revolving round the centre O with radius of circular path $r$ and angular velocity $ω$ , as shown in below figure, the projection of OP on the $x$ -axis at time $t$ is Includes diagram
Physics · Simple Harmonic Motion · MCQ
Q45.In photo electric effect A. The photocurrent is proportional to the intensity of the incident radiation B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light. C. Max. K.E with which…
Physics · Dual Nature of Radiation · MCQ
Q46.A bullet of mass $400 ms^{- 1}$ moving horizontally with speed $400 ms^{- 1}$ hits a wooden block of mass $3.9 kg$ kept on a horizontal rough surface. The bullet gets embedded into the block and moves $20…
Physics · Work Power and Energy · MCQ
Q47.Given below are two statements Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time. Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given…
Physics · Motion in A Straight Line · MCQ
Q48.The acceleration due to gravity at height $h$ above the earth if $h << R$ (Radius of earth) is given by
Physics · Gravitation · MCQ
Q49.The equivalent resistance between A and B as shown in figure is: Includes diagram
Physics · Current Electricity · MCQ
Q50.The waves emitted when a metal target is bombarded with high energy electrons are
Physics · Atoms and Nuclei · MCQ
Q51.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : Electromagnets are made of soft iron. Reason R : Soft iron has high permeability and low retentivity.…
Physics · Magnetic Properties of Matter · MCQ
Q52.Electric potential at a point ' $P$ ' due to a point charge of $5 \times 1 0^{- 9} C$ is $P$ . The distance of ' $P$ ' from the point charge is: (Assume, $\frac{1}{4 π ε _{0}} = 9 \times 1 0^{+ 9} Nm^{2} C^{- 2}$ …
Physics · Electrostatics · MCQ
Q53.The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new…
Physics · Gravitation · MCQ
Q54.The temperature at which the kinetic energy of oxygen molecules becomes double than its value at $2 7^{\circ} C$ is
Physics · Heat and Thermodynamics · MCQ
Q55.The trajectory of projectile, projected from the ground is given by $y = x - \frac{x ^{2}}{20}$ . Where $x$ and $y$ are measured in meter. The maximum height attained by the projectile will be.
Physics · Motion in A Plane · MCQ
Q56.The width of fringe is $400 nm$ on the screen in a double slits experiment for the light of wavelength of $nm$ . The width of the fringe for the light of wavelength 600 $nm$ will be:
Physics · Wave Optics · MCQ
Q57.Match List I with List II Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q58.The number density of free electrons in copper is nearly $8 \times 1 0^{28} m^{- 3}$ . A copper wire has its area of cross section $= 2 \times 1 0^{- 6} m^{2}$ and is carrying a current of $3.2 A$ . The drift speed…
Physics · Current Electricity · Numerical
Q59.Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature $30 cm$ . The centre of curvature of surface is towards denser medium and a point object is placed…
Physics · Geometrical Optics · Numerical
Q60.A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180 Hz will be cm.
Physics · Waves · Numerical
Q61.A body of mass $10 kg ms^{- 1}$ is moving with a momentum of $10 kg ms^{- 1}$ . Now a force of $5 s$ acts on the body in the direction of its motion for $5 s$ . The increase in the Kinetic energy of the…
Physics · Work Power and Energy · Numerical
Q62.The ratio of wavelength of spectral lines $H_{α}$ and $H_{β}$ in the Balmer series is $\frac{x}{20}$ . The value of $x$ is .
Physics · Atoms and Nuclei · Numerical
Q63.A steel rod of length $1 0^{- 4} m^{2}$ and cross sectional area $1 0^{- 4} m^{2}$ is heated from $0^{\circ} C$ to $20 0^{\circ} C$ without being allowed to extend or bend. The compressive tension produced in the rod…
Physics · Heat and Thermodynamics · Numerical
Q64.A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity $3 m / s$ (as shown in figure). Maximum height with respect to the initial position covered by it will be … Includes diagram
Physics · Rotational Motion · Numerical
Q65.The ratio of magnetic field at the centre of a current carrying coil of radius $r$ to the magnetic field at distance $r$ from the centre of coil on its axis is $x : 1$ . The value of $x$ is
Physics · Magnetics · Numerical
Q66.A $200 V$ capacitor is charged by $600 pF$ supply. It is then disconnected from the supply and is connected to another uncharged capacitor. Electrostatic energy lost in the process is …
Physics · Capacitor · Numerical