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2023 · 31 Jan · Shift 2

72 questions · JEE Main

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2023 · 31 Jan · Shift 2

2023 · 31 Jan · Shift 2

72 questions · JEE Main

Chemistry22 questions Mathematics22 questions Physics28 questions

Some Basic Concepts of ChemistryChemistry · 3 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Periodic Table and PeriodicityChemistry · 2 questions SolutionsChemistry · 1 questions Structure of AtomChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions HydrocarbonsChemistry · 1 questions P Block ElementsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Ionic EquilibriumChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Vector AlgebraMathematics · 2 questions FunctionsMathematics · 2 questions Quadratic Equation and InequalitiesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Definite IntegrationMathematics · 2 questions StatisticsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Complex NumbersMathematics · 1 questions Sets and RelationsMathematics · 1 questions HyperbolaMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Differential EquationsMathematics · 1 questions CircleMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Binomial TheoremMathematics · 2 questions Permutations and CombinationsMathematics · 2 questions ProbabilityMathematics · 1 questions Properties of MatterPhysics · 2 questions Heat and ThermodynamicsPhysics · 3 questions Atoms and NucleiPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Current ElectricityPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 1 questions ElectrostaticsPhysics · 1 questions Laws of MotionPhysics · 1 questions MagneticsPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Units and MeasurementsPhysics · 1 questions Alternating CurrentPhysics · 2 questions Circular MotionPhysics · 2 questions Wave OpticsPhysics · 1 questions Motion in A PlanePhysics · 1 questions WavesPhysics · 1 questions CapacitorPhysics · 2 questions Rotational MotionPhysics · 1 questions Center of MassPhysics · 1 questions

Q1.When a hydrocarbon A undergoes complete combustion it requires 11 equivalents of oxygen and produces 4 equivalents of water. What is the molecular formula of $A$ ?
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.Cyclohexylamine when treated with nitrous acid yields $(P)$ . On treating $(P)$ with $PCC$ results in (Q). When $(Q)$ is heated with dil. $NaOH$ we get $(R)$ The final product (R) is :
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q3.Compound $A, C_{5} H_{10} O_{5}$ , given a tetraacetate with $Ac_{2} O$ and oxidation of $A$ with $Br_{2} - H_{2} O$ gives an acid, $C_{5} H_{10} O_{6}$ …
Chemistry · Alcohols Phenols and Ethers · MCQ
Q4.An organic compound $[A] (C_{4} H_{11} N)$ , shows optical activity and gives $N_{2}$ gas on treatment with $HNO_{2}$ . The compound $[A]$ reacts with $PhSO_{2} Cl$ …
Chemistry · Compounds Containing Nitrogen · MCQ
Q5.Which of the following elements have half-filled f-orbitals in their ground state? (Given : atomic number $Sm = 62; Eu = 63; Tb = 65; Gd = 64, Pm = 61$ ) A. $Sm$ B. Eu C. $Tb$ D. Gd E.…
Chemistry · Periodic Table and Periodicity · MCQ
Q6.Evaluate the following statements for their correctness. A. The elevation in boiling point temperature of water will be same for $0.1 M NaCl$ and $0.1 M$ urea. B. Azeotropic mixtures boil without change in…
Chemistry · Solutions · MCQ
Q7.Arrange the following orbitals in decreasing order of energy. A. $n = 3, l = 0, m = 0$ B. $n = 4, l = 0, m = 0$ C. $n = 3, l = 1, m = 0$ D. $n = 3, l = 2, m = 1$ …
Chemistry · Structure of Atom · MCQ
Q8.In Dumas method for the estimation of $N_{2}$ , the sample is heated with copper oxide and the gas evolved is passed over :
Chemistry · Practical Organic Chemistry · MCQ
Q9.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A): The first ionization enthalpy of $3 d$ series elements is more than that of group 2 metals Reason (R): In 3d…
Chemistry · Periodic Table and Periodicity · MCQ
Q10.A hydrocarbon ' $X$ ' with formula $C_{6} H_{8}$ uses two moles of $H_{2}$ on catalytic hydrogenation of its one mole. On ozonolysis, ' $X$ ' yields two moles of methane dicarbaldehyde. The…
Chemistry · Hydrocarbons · MCQ
Q11.Given below are two statements : Statement I: Upon heating a borax bead dipped in cupric sulphate in a luminous flame, the colour of the bead becomes green Statement II: The green colour observed is due to the formation of copper(I)…
Chemistry · P Block Elements · MCQ
Q12.In the following halogenated organic compounds, the one with the maximum number of chlorine atoms in its structure is :
Chemistry · Haloalkanes and Haloarenes · MCQ
Q13.The incorrect statement for the use of indicators in acid-base titration is :
Chemistry · Ionic Equilibrium · MCQ
Q14.Assume carbon burns according to the following equation : $2 C_{(s)} + O_{2 (g)} \to 2 CO (g)$ when $48 g$ carbon is burnt in $48 g$ of oxygen, the volume of…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q15.The number of molecules which gives the haloform test among the following molecules is . Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q16.Amongst the following, the number of species having the linear shape is . $XeF_{2}, I_{3}^{+}, C_{3} O_{2}, I_{3}^{-}, CO_{2}, SO_{2}, BeCl_{2}$ …
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17.Enthalpies of formation of $CCl_{4} (g), H_{2} O (g), CO_{2} (g)$ and $HCl (g)$ are $- 105, - 242, - 394$ and $- 92 kJ mol^{- 1}$ respectively. The…
Chemistry · Thermodynamics · Numerical
Q18.At $1.434 \times 1 0^{- 3} g L^{- 1}$ , the solubility of silver chloride in water is $1.434 \times 1 0^{- 3} g L^{- 1}$ . The value of $- lo g K_{sp}$ for silver chloride is . (Given mass of $Ag$ …
Chemistry · Ionic Equilibrium · Numerical
Q19.The resistivity of a $0.8 M$ solution of an electrolyte is $5 \times 1 0^{- 3} Ω cm$ . Its molar conductivity is $\times 1 0^{4} Ω^{- 1} cm^{2} mol^{- 1}$ . (Nearest…
Chemistry · Electrochemistry · Numerical
Q20.A sample of a metal oxide has formula $M_{0.83} O_{1.00}$ . The metal $M$ can exist in two oxidation states $+ 2$ and $+ 3$ . In the sample of $M_{0.83} O_{1.00}$ , the percentage of metal ions…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q21.If the CFSE of $[Ti (H_{2} O)_{6}]^{3 +}$ is $- 96.0 kJ / mol$ , this complex will absorb maximum at wavelength $nm$ . (nearest integer) Assume…
Chemistry · Coordination Compounds · Numerical
Q22.The rate constant for a first order reaction is $20 min^{- 1}$ . The time required for the initial concentration of the reactant to reduce to its $\frac{1}{32}$ level is $\times 1 0^{- 2} min$ .…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q23.Let $a = \hat{i} + 2 \hat{j} + 3 \hat{k}, b = \hat{i} - \hat{j} + 2 \hat{k}$ and $c = 5 \hat{i} - 3 \hat{j} + 3 \hat{k}$ be three vectors. If $r$ is a vector such that, $r \times b = c \times b$ and $r \cdot a = 0$ …
Mathematics · Vector Algebra · MCQ
Q24.Let $f : R - {2, 6} \to R$ be real valued function defined as $f (x) = \frac{x ^{2} + 2 x + 1}{x ^{2} - 8 x + 12}$ . Then range of $f$ is
Mathematics · Functions · MCQ
Q25.The equation $e^{4 x} + 8 e^{3 x} + 13 e^{2 x} - 8 e^{x} + 1 = 0, x \in R$ has :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q26.Let (a, b) $\subset (0, 2 π)$ be the largest interval for which $sin^{- 1} (sin θ) - cos^{- 1} (sin θ) > 0, θ \in (0, 2 π)$ , holds. If $α x^{2} + β x + sin^{- 1} (x^{2} - 6 x + 10) + cos^{- 1} (x^{2} - 6 x + 10) = 0$ …
Mathematics · Inverse Trigonometric Functions · MCQ
Q27.Let $α > 0$ . If $0 \int α \frac{x}{x + α - x} d x = \frac{16 + 20 2}{15}$ , then $α$ is equal to :
Mathematics · Definite Integration · MCQ
Q28.Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and $α (>$ 0 ), and the mean and standard deviation of marks of class $B$ of $n$ students be respectively 55 and 30 $- α$ . If the mean and…
Mathematics · Statistics · MCQ
Q29.Let $a_{1}, a_{2}, a_{3}, \dots$ be an A.P. If $a_{7} = 3$ , the product $a_{1} a_{4}$ is minimum and the sum of its first $n$ terms is zero, then $n! - 4 a_{n (n + 2)}$ is equal to :
Mathematics · Sequences and Series · MCQ
Q30.The complex number $z = \frac{i - 1}{c o s \frac{π}{3} + i s i n \frac{π}{3}}$ is equal to :
Mathematics · Complex Numbers · MCQ
Q31.Among the relations $S = {(a, b) : a, b \in R - {0}, 2 + \frac{a}{b} > 0}$ and $T = {(a, b) : a, b \in R, a^{2} - b^{2} \in Z}$ …
Mathematics · Sets and Relations · MCQ
Q32.The absolute minimum value, of the function $f (x) = x^{2} - x + 1 + [x^{2} - x + 1]$ , where $[t]$ denotes the greatest integer function, in the interval $[- 1, 2]$ , is :
Mathematics · Functions · MCQ
Q33.If $ϕ (x) = \frac{1}{x} \frac{π}{4} \int x (42 sin t - 3 ϕ^{'} (t)) d t, x > 0$ , then $\emptyset^{'} (\frac{π}{4})$ is equal to :
Mathematics · Definite Integration · MCQ
Q34.Let $H$ be the hyperbola, whose foci are $(1 \pm 2, 0)$ and eccentricity is $2$ . Then the length of its latus rectum is :
Mathematics · Hyperbola · MCQ
Q35. $x \to \infty lim \frac{( 3 x + 1 + 3 x - 1 ) ^{6} + ( 3 x + 1 - 3 x - 1 ) ^{6}}{( x + x ^{2} - 1 ) ^{6} + ( x - x ^{2} - 1 ) ^{6}} x^{3}$
Mathematics · Limits Continuity and Differentiability · MCQ
Q36.Let $y = y (x)$ be the solution of the differential equation $(3 y^{2} - 5 x^{2}) y d x + 2 x (x^{2} - y^{2}) d y = 0$ such that $y (1) = 1$ . Then $(y (2))^{3} - 12 y (2)$ is equal to :
Mathematics · Differential Equations · MCQ
Q37.The set of all values of $a^{2}$ for which the line $x + y = 0$ bisects two distinct chords drawn from a point $P (\frac{1 + a}{2}, \frac{1 - a}{2})$ on the circle $2 x^{2} + 2 y^{2} - (1 + a) x - (1 - a) y = 0$ , is equal to :
Mathematics · Circle · MCQ
Q38.Let the area of the region ${(x, y) : ∣2 x - 1∣ \leq y \leq x^{2} - x, 0 \leq x \leq 1}$ be $A$ . Then $(6 A + 11)^{2}$ is equal to
Mathematics · Area Under the Curves · Numerical
Q39.The coefficient of $x^{- 6}$ , in the expansion of $(\frac{4 x}{5} + \frac{5}{2 x ^{2}})^{9}$ , is
Mathematics · Binomial Theorem · Numerical
Q40.Let $A = [a_{ij}], a_{ij} \in Z \cap [0, 4], 1 \leq i, j \leq 2$ . The number of matrices A such that the sum of all entries is a prime number $p \in (2, 13)$ is .
Mathematics · Permutations and Combinations · Numerical
Q41.If $^{2 n + 1} P_{n - 1} :^{2 n - 1} P_{n} = 11 : 21$ , then $n^{2} + n + 15$ is equal to :
Mathematics · Permutations and Combinations · Numerical
Q42.Let $a, b, c$ be three vectors such that $∣ a ∣ = 31, 4∣ b ∣ = ∣ c ∣ = 2$ and $2 (a \times b) = 3 (c \times a)$ . If the angle between $b$ and $c$ is $\frac{2 π}{3}$ , then $(\frac{a \times c}{a \cdot b})^{2}$ …
Mathematics · Vector Algebra · Numerical
Q43.Let A be the event that the absolute difference between two randomly choosen real numbers in the sample space $[0, 60]$ is less than or equal to a . If $P (A) = \frac{11}{36}$ , then $a$ is equal to …
Mathematics · Probability · Numerical
Q44.If the constant term in the binomial expansion of $(\frac{x ^{\frac{5}{2}}}{2} - \frac{4}{x ^{l}})^{9}$ is $- 84$ and the coefficient of $x^{- 3 l}$ is $2^{α} β$ , where $β < 0$ is an odd number, then $∣ α l - β ∣$ …
Mathematics · Binomial Theorem · Numerical
Q45.For a solid rod, the Young's modulus of elasticity is $3.2 \times 1 0^{11} Nm^{- 2}$ and density is $8 \times 1 0^{3} kg m^{- 3}$ . The velocity of longitudinal wave in the rod will be.
Physics · Properties of Matter · MCQ
Q46.Heat energy of $735 J$ is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy of the gas will be :
Physics · Heat and Thermodynamics · MCQ
Q47.The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3rd orbit will be
Physics · Atoms and Nuclei · MCQ
Q48.If the two metals $A$ and $B$ are exposed to radiation of wavelength $A$ . The work functions of metals $A$ and $B$ are $4.8 eV$ and $2.2 eV$ . Then choose the correct…
Physics · Dual Nature of Radiation · MCQ
Q49.The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by $50%$ . The percentage change in voltage sensitivity of the galvanometer will be :
Physics · Current Electricity · MCQ
Q50.Match List I with List II Choose the correct answer from the options given below: Includes table
Physics · Electromagnetic Waves · MCQ
Q51.The $H$ amount of thermal energy is developed by a resistor in $4 A$ when a current of $16 A$ is passed through it. If the current is increased to $16 A$ , the thermal energy developed by the resistor…
Physics · Current Electricity · MCQ
Q52.A body weight $W$ , is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be :
Physics · Gravitation · MCQ
Q53.Considering a group of positive charges, which of the following statements is correct ?
Physics · Electrostatics · MCQ
Q54.A body of mass $20 m / s$ is moving with an initial speed of $20 m / s$ . The body stops after $5 s$ due to friction between body and the floor. The value of the coefficient of friction is: (Take…
Physics · Laws of Motion · MCQ
Q55.A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is $\frac{16}{81}$ . Then the ratio of $\frac{Cp}{Cv}$ …
Physics · Heat and Thermodynamics · MCQ
Q56.A long conducting wire having a current I flowing through it, is bent into a circular coil of $N$ turns. Then it is bent into a circular coil of $n$ turns. The magnetic field is calculated at the centre of coils in both…
Physics · Magnetics · MCQ
Q57.A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then the microscope has to be raised by $30 cm$ to focus the object again. The height of…
Physics · Geometrical Optics · MCQ
Q58.Match List I with List II Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q59.Under the same load, wire A having length $2.5 \times 1 0^{- 5} m^{2}$ and cross section $2.5 \times 1 0^{- 5} m^{2}$ stretches uniformly by the same amount as another wire B of length $3.0 \times 1 0^{- 5} m^{2}$ and a cross section of $3.0 \times 1 0^{- 5} m^{2}$ …
Physics · Properties of Matter · MCQ
Q60.An alternating voltage source $V = 260 sin (628 t$ ) is connected across a pure inductor of $5 mH$ Inductive reactance in the circuit is :
Physics · Alternating Current · MCQ
Q61.A stone of mass $1 m$ is tied to end of a massless string of length $400 N$ . If the breaking tension of the string is $400 N$ , then maximum linear velocity, the stone can have without breaking the string, while…
Physics · Circular Motion · MCQ
Q62.A body is moving with constant speed, in a circle of radius $4 s$ . The body completes one revolution in $m$ . At the end of 3rd second, the displacement of body (in $m$ ) from its starting point is :
Physics · Circular Motion · MCQ
Q63.A water heater of power $4200 J kg^{- 1} K^{- 1}$ is used to heat water. The specific heat capacity of water is $4200 J kg^{- 1} K^{- 1}$ . The efficiency of heater is $70%$ . Time required to heat $2 kg$ of…
Physics · Heat and Thermodynamics · Numerical
Q64.A series $LCR$ circuit consists of $R = 80Ω, X_{L} = 100Ω$ , and $X_{C} = 40Ω$ . The input voltage is 2500 $cos (100 π t) V$ . The amplitude of current, in…
Physics · Alternating Current · Numerical
Q65.Two light waves of wavelengths 800 and $7 m$ are used in Young's double slit experiment to obtain interference fringes on a screen placed $0.35 mm$ away from plane of slits. If the two slits are separated by $0.35 mm$ …
Physics · Wave Optics · Numerical
Q66.Two bodies are projected from ground with same speeds $40 ms^{- 1}$ at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of $6 0^{\circ}$ , with…
Physics · Motion in A Plane · Numerical
Q67.The displacement equations of two interfering waves are given by $y_{1} = 10 sin (ω t + \frac{π}{3}) cm, y_{2} = 5 [sin ω t + 3 cos ω t] cm$ respectively. The amplitude of the resultant wave…
Physics · Waves · Numerical
Q68.For the given circuit, in the steady state, $∣ V_{B} - V_{D} ∣ =$ V. Includes diagram
Physics · Capacitor · Numerical
Q69.Two discs of same mass and different radii are made of different materials such that their thicknesses are $0.5 cm$ and $3 : 5$ respectively. The densities of materials are in the ratio $3 : 5$ . The moment of inertia of…
Physics · Rotational Motion · Numerical
Q70.A ball is dropped from a height of $0.5$ . If the coefficient of restitution for the collision between ball and floor is $0.5$ , after hitting the floor, the ball rebounds to a height of $m$ .
Physics · Center of Mass · Numerical
Q71.If the binding energy of ground state electron in a hydrogen atom is $13.6 eV$ , then, the energy required to remove the electron from the second excited state of $Li^{2 +}$ will be : $x \times 1 0^{- 1} eV$ . The…
Physics · Atoms and Nuclei · Numerical
Q72.Two parallel plate capacitors $C_{1}$ and $C_{2}$ each having capacitance of $10 μ F$ are individually charged by a 100 V D.C. source. Capacitor $C_{1}$ is kept connected to the source and a dielectric slab is inserted between…
Physics · Capacitor · Numerical