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2023 · 13 Apr · Shift 1

72 questions · JEE Main

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2023 · 13 Apr · Shift 1

2023 · 13 Apr · Shift 1

72 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics28 questions

Chemical Bonding and Molecular StructureChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions HydrocarbonsChemistry · 2 questions BiomoleculesChemistry · 1 questions Structure of AtomChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Area Under the CurvesMathematics · 1 questions ParabolaMathematics · 1 questions Vector AlgebraMathematics · 2 questions Matrices and DeterminantsMathematics · 3 questions Differential EquationsMathematics · 1 questions ProbabilityMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Definite IntegrationMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Binomial TheoremMathematics · 2 questions FunctionsMathematics · 1 questions DifferentiationMathematics · 1 questions Application of DerivativesMathematics · 1 questions StatisticsMathematics · 1 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Simple Harmonic MotionPhysics · 2 questions Center of MassPhysics · 1 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 3 questions Geometrical OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions MagneticsPhysics · 1 questions ElectrostaticsPhysics · 2 questions Rotational MotionPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Current ElectricityPhysics · 3 questions Electronic DevicesPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Work Power and EnergyPhysics · 2 questions Alternating CurrentPhysics · 1 questions

Q1.In which of the following processes, the bond order increases and paramagnetic character changes to diamagnetic one ?
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Which of the following statements are not correct? A. The electron gain enthalpy of $F$ is more negative than that of $Cl$ . B. Ionization enthalpy decreases in a group of periodic table. C. The electronegativity of an…
Chemistry · Periodic Table and Periodicity · MCQ
Q3.In the following reaction 'X' is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q4.In the reaction given below 'A' is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.The mismatched combinations are A. Chlorophyll - $C o$ B. Water hardness - $E D T A$ C. Photography $- [Ag (CN)_{2}]^{-}$ D. Wilkinson catalyst $- [(Ph_{3} P)_{3} RhCl]$ …
Chemistry · Coordination Compounds · MCQ
Q6. $ClF_{5}$ at room temperature is a:
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q7.Among the following compounds, the one which shows highest dipole moment is
Chemistry · Basics of Organic Chemistry · MCQ
Q8.2-Methyl propyl bromide reacts with $C_{2} H_{5} O^{-}$ and gives 'A' whereas on reaction with $C_{2} H_{5} OH$ it gives 'B'. The mechanism followed in these reactions and the products…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.The pair of lanthanides in which both elements have high third - ionization energy is :
Chemistry · D and F Block Elements · MCQ
Q10.In the reaction given below 'B' is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.In the above reaction, left hand side and right hand side rings are named as ' $A$ ' and 'B' respectively. They undergo ring expansion. The correct statement for this process is: Includes diagram
Chemistry · Hydrocarbons · MCQ
Q12.The products formed in the above reaction are Includes diagram
Chemistry · Biomolecules · MCQ
Q13.The energy of an electron in the first Bohr orbit of hydrogen atom is $- 2.18 \times 1 0^{- 18} J$ . Its energy in the third Bohr orbit is .
Chemistry · Structure of Atom · MCQ
Q14. $KMnO_{4}$ is titrated with ferrous ammonium sulphate hexahydrate in presence of dilute $H_{2} SO_{4}$ . Number of water molecules produced for 2 molecules of $KMnO_{4}$ is .
Chemistry · Practical Organic Chemistry · Numerical
Q15.An organic compound gives $CO_{2}$ of $CO_{2}$ and $H_{2} O$ of $H_{2} O$ on complete combustion. If the $%$ of carbon is 24 then the $%$ of hydrogen is $\times 1 0^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16. $t_{87.5}$ is the time required for the reaction to undergo $87.5%$ completion and $t_{50}$ is the time required for the reaction to undergo $50%$ completion. The relation between $t_{87.5}$ and $t_{50}$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q17.For the given reaction The total number of possible products formed by tertiary carbocation of A is . Includes diagram
Chemistry · Hydrocarbons · Numerical
Q18. $10 mL$ of calcium hydroxide was consumed when it was reacted with $H_{2} SO_{4}$ of unknown solution of $H_{2} SO_{4}$ . Also $0.5 M HCl$ standard solution of $0.5 M HCl$ containing…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.Solution of $1000 mL$ of non-electrolyte (A) prepared by dissolving it in $0.05 M$ of water exerts the same osmotic pressure as that of $0.05 M$ glucose solution at the same temperature. The empirical formula of…
Chemistry · Solutions · Numerical
Q20.A metal surface of $100 cm^{2}$ area has to be coated with nickel layer of thickness $2 A$ . A current of $Ni (NO_{3})_{2}$ was passed through a solution of $Ni (NO_{3})_{2}$ for ' $x$ …
Chemistry · Electrochemistry · Numerical
Q21. $A_{2} + B_{2} \to 2 AB .Δ H_{f}^{0} = - 200 kJ mol^{- 1}$ $AB, A_{2}$ and $B_{2}$ are diatomic molecules. If the bond enthalpies of $A_{2}, B_{2}$ …
Chemistry · Thermodynamics · Numerical
Q22. $0.050 M Ba (NO_{3})_{2}$ of $0.050 M Ba (NO_{3})_{2}$ is mixed with $0.020 M NaF . K_{Sp}$ of $0.020 M NaF . K_{Sp}$ of $BaF_{2}$ is $0.5 \times 1 0^{- 6}$ at $298 K$ …
Chemistry · Ionic Equilibrium · Numerical
Q23.The area of the region enclosed by the curve $f (x) = max {sin x, cos x}, - π \leq x \leq π$ and the $x$ -axis is
Mathematics · Area Under the Curves · MCQ
Q24.Let $PQ$ be a focal chord of the parabola $y^{2} = 36 x$ of length 100 , making an acute angle with the positive $x$ -axis. Let the ordinate of $P$ be positive and $M$ be the point on the line segment PQ such that…
Mathematics · Parabola · MCQ
Q25.Let $a = \hat{i} + 4 \hat{j} + 2 \hat{k}, b = 3 \hat{i} - 2 \hat{j} + 7 \hat{k}$ and $c = 2 \hat{i} - \hat{j} + 4 \hat{k}$ . If a vector $d$ satisfies $d \times b = c \times b$ and $d \cdot a = 24$ ,…
Mathematics · Vector Algebra · MCQ
Q26.For the system of linear equations $2 x + 4 y + 2 a z = b x + 2 y + 3 z = 42 x - 5 y + 2 z = 8$ which of the following is NOT correct?
Mathematics · Matrices and Determinants · MCQ
Q27.Let $y = y_{1} (x)$ and $y = y_{2} (x)$ be the solution curves of the differential equation $\frac{d y}{d x} = y + 7$ with initial conditions $y_{1} (0) = 0$ and $y_{2} (0) = 1$ respectively. Then the curves $y = y_{1} (x)$ and $y = y_{2} (x)$ intersect at
Mathematics · Differential Equations · MCQ
Q28.A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If $X$ denotes the number of tosses of the coin, then the mean of $X$ is :
Mathematics · Probability · MCQ
Q29.The set of all $a \in R$ for which the equation $x ∣ x - 1∣ + ∣ x + 2∣ + a = 0$ has exactly one real root, is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q30. $\int_{0}^{\infty} \frac{6}{e ^{3 x} + 6 e ^{2 x} + 11 e ^{x} + 6} d x =$
Mathematics · Definite Integration · MCQ
Q31.Let $s_{1}, s_{2}, s_{3}, \dots, s_{10}$ respectively be the sum to 12 terms of 10 A.P. s whose first terms are $1, 2, 3, \dots .10$ and the common differences are $1, 3, 5, \dots\dots, 19$ respectively. Then $\sum_{i = 1}^{10} s_{i}$ is…
Mathematics · Sequences and Series · MCQ
Q32.Let $B = 11 α 32 α α 34, α > 2$ be the adjoint of a matrix $A$ and $∣ A ∣ = 2$ . Then $[α - 2 α α] B α - 2 α α$ …
Mathematics · Matrices and Determinants · MCQ
Q33.Fractional part of the number $\frac{4 ^{2022}}{15}$ is equal to
Mathematics · Binomial Theorem · MCQ
Q34.For $x \in R$ , two real valued functions $f (x)$ and $g (x)$ are such that, $g (x) = x + 1$ and $f \circ g (x) = x + 3 - x$ . Then $f (0)$ is equal to
Mathematics · Functions · MCQ
Q35.For the differentiable function $f : R - {0} \to R$ , let $3 f (x) + 2 f (\frac{1}{x}) = \frac{1}{x} - 10$ , then $f (3) + f^{'} (\frac{1}{4})$ is equal to
Mathematics · Differentiation · MCQ
Q36. $max_{0 \leq x \leq π} {x - 2 sin x cos x + \frac{1}{3} sin 3 x} =$
Mathematics · Application of Derivatives · MCQ
Q37.The number of symmetric matrices of order 3, with all the entries from the set ${0, 1, 2, 3, 4, 5, 6, 7, 8, 9}$ is :
Mathematics · Matrices and Determinants · MCQ
Q38.Let the mean of the data be 5. If $m$ and $σ^{2}$ are respectively the mean deviation about the mean and the variance of the data, then $\frac{3 α}{m + σ ^{2}}$ is equal to Includes table
Mathematics · Statistics · Numerical
Q39.Let $w = z \overset{z}{ˉ} + k_{1} z + k_{2} i z + λ (1 + i), k_{1}, k_{2} \in R$ . Let $Re (w) = 0$ be the circle $C$ of radius 1 in the first quadrant touching the line $y = 1$ and the $y$ -axis. If the curve $Im (w) = 0$ …
Mathematics · Complex Numbers · Numerical
Q40.The number of seven digit positive integers formed using the digits $1, 2, 3$ and $4$ only and sum of the digits equal to $12$ is .
Mathematics · Permutations and Combinations · Numerical
Q41.If $S = {x \in R : sin^{- 1} (\frac{x + 1}{x ^{2} + 2 x + 2}) - sin^{- 1} (\frac{x}{x ^{2} + 1}) = \frac{π}{4}}$ , then $\sum_{x \in s} (sin ((x^{2} + x + 5) \frac{π}{2}) - cos ((x^{2} + x + 5) π))$ …
Mathematics · Inverse Trigonometric Functions · Numerical
Q42.Let for $x \in R, S_{0} (x) = x, S_{k} (x) = C_{k} x + k \int_{0}^{x} S_{k - 1} (t) d t$ , where $C_{0} = 1, C_{k} = 1 - \int_{0}^{1} S_{k - 1} (x) d x, k = 1, 2, 3, \dots$ Then $S_{2} (3) + 6 C_{3}$ is equal to .
Mathematics · Definite Integration · Numerical
Q43.Let $a = 3 \hat{i} + \hat{j} - \hat{k}$ and $c = 2 \hat{i} - 3 \hat{j} + 3 \hat{k}$ . If $b$ is a vector such that $a = b \times c$ and $∣ b ∣^{2} = 50$ , then $∣72 - ∣ b + c ∣^{2} ∣$ is equal…
Mathematics · Vector Algebra · Numerical
Q44.Let $α$ be the constant term in the binomial expansion of $(x - \frac{6}{x ^{\frac{3}{2}}})^{n}, n \leq 15$ . If the sum of the coefficients of the remaining terms in the expansion is 649 and the coefficient of…
Mathematics · Binomial Theorem · Numerical
Q45.Which graph represents the difference between total energy and potential energy of a particle executing SHM vs it's distance from mean position ?
Physics · Simple Harmonic Motion · MCQ
Q46.A bullet of $600 m / s$ leaves the barrel of gun with a velocity of $600 m / s$ . If the barrel of gun is $3 kg$ long and mass of gun is $3 kg$ , then value of impulse supplied to the gun will be :
Physics · Center of Mass · MCQ
Q47.A planet having mass $9 Me$ and radius $4 R_{e}$ , where $Me$ and $Re$ are mass and radius of earth respectively, has escape velocity in $km / s$ given by: (Given escape…
Physics · Gravitation · MCQ
Q48.The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross - section. Cross sectional areas at $A$ is $1.5 cm^{2}$ , and $B$ is $25 mm^{2}$ , if the speed of liquid… Includes diagram
Physics · Properties of Matter · MCQ
Q49.A vessel of depth ' $d$ ' is half filled with oil of refractive index $n_{1}$ and the other half is filled with water of refractive index $n_{2}$ . The apparent depth of this vessel when viewed from above will be-
Physics · Geometrical Optics · MCQ
Q50.The difference between threshold wavelengths for two metal surfaces $A$ and $B$ having work function $ϕ_{A} = 9 eV$ and $ϕ_{B} = 4 \cdot 5 eV$ in $nm$ is: ${$ Given, hc $= 1242 eV nm}$ …
Physics · Dual Nature of Radiation · MCQ
Q51.The rms speed of oxygen molecule in a vessel at particular temperature is $(1 + \frac{5}{x})^{\frac{1}{2}} v$ , where $v$ is the average speed of the molecule. The value of $x$ will be: $($ Take $π = \frac{22}{7})$ …
Physics · Heat and Thermodynamics · MCQ
Q52.The source of time varying magnetic field may be (A) a permanent magnet (B) an electric field changing linearly with time (C) direct current (D) a decelerating charge particle (E) an antenna fed with a digital signal Choose the correct…
Physics · Magnetics · MCQ
Q53.Two charges each of magnitude $0.01 C$ and separated by a distance of $E$ constitute an electric dipole. If the dipole is placed in an uniform electric field ' $E$ ' of 10 dyne/C making $3 0^{\circ}$ angle with $E$ …
Physics · Electrostatics · MCQ
Q54.A disc is rolling without slipping on a surface. The radius of the disc is $R$ . At $t = 0$ , the top most point on the disc is $A$ as shown in figure. When the disc completes half of its rotation, the displacement of point A from its… Includes diagram
Physics · Rotational Motion · MCQ
Q55. $_{92}^{238} A \to_{90}^{234} B +_{2}^{4} D + Q$ In the given nuclear reaction, the approximate amount of energy released will be: [Given, mass of $_{92}^{238} A = 238.05079 \times 931.5 MeV / c^{2},$ mass of $_{90}^{234} B = 234 \cdot 04363 \times 931 \cdot 5 MeV / c^{2},$ …
Physics · Atoms and Nuclei · MCQ
Q56.Under isothermal condition, the pressure of a gas is given by $P = a V^{- 3}$ , where $a$ is a constant and $V$ is the volume of the gas. The bulk modulus at constant temperature is equal to
Physics · Properties of Matter · MCQ
Q57.Two trains 'A' and 'B' of length ' $l$ ' and ' $4 l$ ' are travelling into a tunnel of length ' $L$ ' in parallel tracks from opposite directions with velocities $108 km / h$ and $72 km / h$ ,…
Physics · Motion in A Straight Line · MCQ
Q58.Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions :
Physics · Electromagnetic Waves · MCQ
Q59.Different combination of 3 resistors of equal resistance $R$ are shown in the figures. The increasing order for power dissipation is: Includes diagram
Physics · Current Electricity · MCQ
Q60.For the following circuit and given inputs A and B, choose the correct option for output ' $Y$ ' Includes diagram
Physics · Electronic Devices · MCQ
Q61.A body of mass $(5 \pm 0.5) kg$ is moving with a velocity of $(20 \pm 0.4) m / s$ . Its kinetic energy will be
Physics · Units and Measurements · MCQ
Q62.The ratio of powers of two motors is $\frac{3 x}{x + 1}$ , that are capable of raising $50 kg$ water in 5 minutes and $100 m$ water in 2 minutes respectively from a well of $100 m$ deep. The value…
Physics · Work Power and Energy · MCQ
Q63.Two bodies are having kinetic energies in the ratio 16 : 9. If they have same linear momentum, the ratio of their masses respectively is :
Physics · Work Power and Energy · MCQ
Q64.When a resistance of $5 Ω$ is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of $1050 Ω$ , however when $1050 Ω$ resistance is connected with it in series, it gives full scale…
Physics · Current Electricity · Numerical
Q65.A fish rising vertically upward with a uniform velocity of $8 ms^{- 1}$ , observes that a bird is diving vertically downward towards the fish with the velocity of $12 ms^{- 1}$ . If the refractive index of water is $\frac{4}{3}$ …
Physics · Geometrical Optics · Numerical
Q66.The radius of $2^{nd}$ orbit of $He^{+}$ of Bohr's model is $r_{1}$ and that of fourth orbit of $Be^{3 +}$ is represented as $r_{2}$ . Now the ratio $\frac{r _{2}}{r _{1}}$ is $x : 1$ . The value of $x$ is …
Physics · Atoms and Nuclei · Numerical
Q67.A potential $V_{0}$ is applied across a uniform wire of resistance $R$ . The power dissipation is $P_{1}$ . The wire is then cut into two equal halves and a potential of $V_{0}$ is applied across the length of each half. The total…
Physics · Current Electricity · Numerical
Q68.In the given figure, an inductor and a resistor are connected in series with a battery of emf E volt. $\frac{E ^{a}}{2 b} J / s$ represents the maximum rate at which the energy is stored in the magnetic field (inductor). The… Includes diagram
Physics · Alternating Current · Numerical
Q69.At a given point of time the value of displacement of a simple harmonic oscillator is given as $y = A cos (3 0^{\circ})$ . If amplitude is $200 J$ and kinetic energy at that time is $200 J$ ,…
Physics · Simple Harmonic Motion · Numerical
Q70.A thin infinite sheet charge and an infinite line charge of respective charge densities $+ σ$ and $+ λ$ are placed parallel at $\frac{3}{π}$ distance from each other. Points 'P' and 'Q' are at $\frac{3}{π}$ m and $\frac{4}{π}$ …
Physics · Electrostatics · Numerical
Q71.A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotation of the sphere to the total energy of moving sphere is $π : 22$ then, the value of its angular speed will be …
Physics · Rotational Motion · Numerical
Q72.The elastic potential energy stored in a steel wire of length $2 cm$ stretched through $80 J$ is $mm^{2}$ . The cross sectional area of the wire is $mm^{2}$ . $($ …
Physics · Properties of Matter · Numerical