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2023 · 8 Apr · Shift 1

75 questions · JEE Main

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2023 · 8 Apr · Shift 1

2023 · 8 Apr · Shift 1

75 questions · JEE Main

Chemistry21 questions Mathematics26 questions Physics28 questions

Alcohols Phenols and EthersChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Redox ReactionsChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions ElectrochemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions HydrocarbonsChemistry · 1 questions SolutionsChemistry · 1 questions Permutations and CombinationsMathematics · 3 questions DifferentiationMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 1 questions 3D GeometryMathematics · 1 questions ParabolaMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Complex NumbersMathematics · 1 questions Vector AlgebraMathematics · 2 questions Definite IntegrationMathematics · 1 questions Sets and RelationsMathematics · 1 questions Differential EquationsMathematics · 1 questions StatisticsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Binomial TheoremMathematics · 2 questions CircleMathematics · 1 questions Properties of MatterPhysics · 3 questions Geometrical OpticsPhysics · 2 questions Electromagnetic InductionPhysics · 1 questions GravitationPhysics · 2 questions Units and MeasurementsPhysics · 2 questions ElectrostaticsPhysics · 2 questions Heat and ThermodynamicsPhysics · 1 questions MagneticsPhysics · 1 questions Vector AlgebraPhysics · 1 questions Laws of MotionPhysics · 1 questions Motion in A PlanePhysics · 1 questions Atoms and NucleiPhysics · 2 questions Electronic DevicesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions CapacitorPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions WavesPhysics · 1 questions Current ElectricityPhysics · 1 questions Center of MassPhysics · 1 questions Alternating CurrentPhysics · 1 questions Rotational MotionPhysics · 1 questions

Q1.Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Butan -1- ol has higher boiling point than ethoxyethane. Reason R: Extensive hydrogen bonding leads to stronger association…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q2.Which of the following complex is octahedral, diamagnetic and the most stable?
Chemistry · Coordination Compounds · MCQ
Q3.The correct order of electronegativity for given elements is:
Chemistry · Periodic Table and Periodicity · MCQ
Q4.The correct order of spin only magnetic moments for the following complex ions is
Chemistry · Coordination Compounds · MCQ
Q5. $2 IO_{3}^{-} + x I^{-} + 12 H^{+} \to 6 I_{2} + 6 H_{2} O$ What is the value of $x$ ?
Chemistry · Redox Reactions · MCQ
Q6.Match List I with List II: Choose the correct answer from the options given below: Includes table Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q7.Which halogen is known to cause the reaction given below : $2 Cu^{2 +} + 4 X^{-} \to Cu_{2} X_{2} (s) + X_{2}$
Chemistry · D and F Block Elements · MCQ
Q8.In chromyl chloride, the number of d-electrons present on chromium is same as in (Given at no. of $Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26$ )
Chemistry · D and F Block Elements · MCQ
Q9.The major product formed in the following reaction is: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.The reaction $\frac{1}{2} H_{2} (g) + AgCl (s) ⇌ H^{+} (aq) + Cl^{-} (aq) + Ag (s)$ occurs in which of the given galvanic cell.
Chemistry · Electrochemistry · MCQ
Q11.Sulphur (S) containing amino acids from the following are: (a) isoleucine (b) cysteine (c) lysine (d) methionine (e) glutamic acid
Chemistry · Biomolecules · MCQ
Q12.The water gas on reacting with cobalt as a catalyst forms
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Choose the halogen which is most reactive towards $S_{N} 1$ reaction in the given compounds (A, B, C & D) Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q14.Match List I with List II: Choose the correct answer from the options given below: Includes table Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q15.The number of given statement/s which is/are correct is . (A) The stronger the temperature dependence of the rate constant, the higher is the activation energy. (B) If a reaction has zero activation energy, its…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q16.The number of following factors which affect the percent covalent character of the ionic bond is (A) Polarising power of cation (B) Extent of distortion of anion (C) Polarisability of the anion (D) Polarising…
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q17. $(X)$ of an organic compound $(X)$ with $60%$ carbon will produce $\times 1 0^{- 1} g$ of $CO_{2}$ on complete combustion.
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q18.The titration curve of weak acid vs. strong base with phenolphthalein as indictor) is shown below. The $K_{phenolphthalein} = 4 \times 1 0^{- 10}$ . Given: $lo g 2 = 0.3$ The number of following statement/s which is/are… Includes diagram
Chemistry · Ionic Equilibrium · Numerical
Q19.When a $5^{\circ} C$ electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic walls, the temperature of the gas rises by $5^{\circ} C$ . The heat capacity of the given gas is $J K^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q20.Molar mass of the hydrocarbon (X) which on ozonolysis consumes one mole of $O_{3}$ per mole of $(X)$ and gives one mole each of ethanal and propanone is $g mol^{- 1}$ (Molar mass…
Chemistry · Hydrocarbons · Numerical
Q21.The vapour pressure vs. temperature curve for a solution solvent system is shown below. The boiling point of the solvent is $^{\circ} C$ . Includes diagram
Chemistry · Solutions · Numerical
Q22.The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is :
Mathematics · Permutations and Combinations · MCQ
Q23.Let $f (x) = \frac{s i n x + c o s x - 2}{s i n x - c o s x}, x \in [0, π] - {\frac{π}{4}}$ . Then $f (\frac{7 π}{12}) f^{''} (\frac{7 π}{12})$ is equal to
Mathematics · Differentiation · MCQ
Q24.Let $A = 210 12 - 1 0 - 1 2$ . If $∣ adj (adj (adj 2 A)) ∣ = (16)^{n}$ , then $n$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q25. $lim_{x \to 0} ((\frac{( 1 - c o s ^{2} ( 3 x )}{c o s ^{3} ( 4 x )}) (\frac{s i n ^{3} ( 4 x )}{( l o g _{e} ( 2 x + 1 ) ) ^{5}}))$ is equal to .
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.In a bolt factory, machines $C$ and $C$ manufacture respectively $50%$ and $50%$ of the total bolts. Of their output 3, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt…
Mathematics · Probability · MCQ
Q27.The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is :
Mathematics · Permutations and Combinations · MCQ
Q28.The shortest distance between the lines $\frac{x - 4}{4} = \frac{y + 2}{5} = \frac{z + 3}{3}$ and $\frac{x - 1}{3} = \frac{y - 3}{4} = \frac{z - 4}{2}$ is :
Mathematics · 3D Geometry · MCQ
Q29.Let $R$ be the focus of the parabola $y^{2} = 20 x$ and the line $y = m x + c$ intersect the parabola at two points $P$ and $Q$ . Let the point $G (10, 10)$ be the centroid of the triangle $P QR$ . If $c - m = 6$ , then $(P Q)^{2}$ is :
Mathematics · Parabola · MCQ
Q30.The area of the region ${(x, y) : x^{2} \leq y \leq 8 - x^{2}, y \leq 7}$ is :
Mathematics · Area Under the Curves · MCQ
Q31.Let $C (α, β)$ be the circumcenter of the triangle formed by the lines $4 x + 3 y = 694 y - 3 x = 17$ , and $x + 7 y = 61$ . Then $(α - β)^{2} + α + β$ is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q32.Let $I (x) = \int \frac{( x + 1 )}{x ( 1 + x e ^{x} ) ^{2}} d x, x > 0$ . If $lim_{x \to \infty} I (x) = 0$ , then $I (1)$ is equal to :
Mathematics · Indefinite Integrals · MCQ
Q33.Let $α, β, γ$ be the three roots of the equation $x^{3} + b x + c = 0$ . If $β γ = 1 = - α$ , then $b^{3} + 2 c^{3} - 3 α^{3} - 6 β^{3} - 8 γ^{3}$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q34.Let the number of elements in sets $A$ and $B$ be five and two respectively. Then the number of subsets of $A \times B$ each having at least 3 and at most 6 elements is :
Mathematics · Permutations and Combinations · MCQ
Q35.Let $S_{K} = \frac{1 + 2 + \dots + K}{K}$ and $\sum_{j = 1}^{n} S_{j}^{2} = \frac{n}{A} (B n^{2} + C n + D)$ , where $A, B, C, D \in N$ and $A$ has least value. Then
Mathematics · Sequences and Series · MCQ
Q36.Let $P = [\frac{3}{2} - \frac{1}{2} \frac{1}{2} \frac{3}{2}], A = [1011]$ and $Q = P A P^{T}$ . If $P^{T} Q^{2007} P = [a c b d]$ …
Mathematics · Matrices and Determinants · MCQ
Q37.If for $z = α + i β, ∣ z + 2∣ = z + 4 (1 + i)$ , then $α + β$ and $α β$ are the roots of the equation :
Mathematics · Complex Numbers · MCQ
Q38.If the points with position vectors $α \hat{i} + 10 \hat{j} + 13 \hat{k}, 6 \hat{i} + 11 \hat{j} + 11 \hat{k}, \frac{9}{2} \hat{i} + β \hat{j} - 8 \hat{k}$ are collinear, then $(19 α - 6 β)^{2}$ is equal to :
Mathematics · Vector Algebra · MCQ
Q39.Let $[t]$ denote the greatest integer $\frac{2}{π} \int_{π /6}^{5 π /6} (8 [cosec x] - 5 [cot x]) d x$ . Then $\frac{2}{π} \int_{π /6}^{5 π /6} (8 [cosec x] - 5 [cot x]) d x$ is equal to .
Mathematics · Definite Integration · Numerical
Q40.Let $A = {0, 3, 4, 6, 7, 8, 9, 10}$ and $R$ be the relation defined on $A$ such that $R = {(x, y) \in A \times A : x - y$ is odd positive integer or $x - y = 2}$ . The minimum number of elements that must be added to the relation $R$ , so that it is a…
Mathematics · Sets and Relations · Numerical
Q41.If the solution curve of the differential equation $(y - 2 lo g_{e} x) d x + (x lo g_{e} x^{2}) d y = 0, x > 1$ passes through the points $(e, \frac{4}{3})$ and $(e^{4}, α)$ , then $α$ …
Mathematics · Differential Equations · Numerical
Q42.Let the mean and variance of 8 numbers $x, y, 10, 12, 6, 12, 4, 8$ be $9$ and $9.25$ respectively. If $x > y$ , then $3 x - 2 y$ is equal to .
Mathematics · Statistics · Numerical
Q43.Let $a = 6 \hat{i} + 9 \hat{j} + 12 \hat{k}, b = α \hat{i} + 11 \hat{j} - 2 \hat{k}$ and $c$ be vectors such that $a \times c = a \times b$ . If $a \cdot c = - 12, c \cdot (\hat{i} - 2 \hat{j} + \hat{k}) = 5$ …
Mathematics · Vector Algebra · Numerical
Q44.If $a_{α}$ is the greatest term in the sequence $α_{n} = \frac{n ^{3}}{n ^{4} + 147}, n = 1, 2, 3, \dots$ , then $α$ is equal to .
Mathematics · Application of Derivatives · Numerical
Q45.Let $[t]$ denote the greatest integer $(3 x^{2} - \frac{1}{2 x ^{5}})^{7}$ . If the constant term in the expansion of $(3 x^{2} - \frac{1}{2 x ^{5}})^{7}$ is $α$ , then $[α]$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q46.Consider a circle $C_{1} : x^{2} + y^{2} - 4 x - 2 y = α - 5$ . Let its mirror image in the line $y = 2 x + 1$ be another circle $C_{2} : 5 x^{2} + 5 y^{2} - 10 f x - 10 g y + 36 = 0$ . Let $r$ be the radius of $C_{2}$ . Then $α + r$ is equal to …
Mathematics · Circle · Numerical
Q47.The largest natural number $n$ such that $3^{n}$ divides $66!$ is .
Mathematics · Binomial Theorem · Numerical
Q48.An air bubble of volume $1 cm^{3}$ rises from the bottom of a lake $1 2^{\circ} C$ deep to the surface at a temperature of $1 2^{\circ} C$ . The atmospheric pressure is $1 \times 1 0^{5} Pa$ the density of water…
Physics · Properties of Matter · MCQ
Q49.In a reflecting telescope, a secondary mirror is used to:
Physics · Geometrical Optics · MCQ
Q50.Certain galvanometers have a fixed core made of non magnetic metallic material. The function of this metallic material is
Physics · Electromagnetic Induction · MCQ
Q51.Given below are two statements: Statement I: If $E$ be the total energy of a satellite moving around the earth, then its potential energy will be $\frac{E}{2}$ . Statement II: The kinetic energy of a satellite revolving in an orbit…
Physics · Gravitation · MCQ
Q52.Dimension of $\frac{1}{μ _{0} \in _{0}}$ should be equal to
Physics · Units and Measurements · MCQ
Q53.Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius $R$ , with distance $r$ from the centre O is represented by: Includes diagram
Physics · Electrostatics · MCQ
Q54.Given below are two statements: Statement I: If heat is added to a system, its temperature must increase. Statement II: If positive work is done by a system in a thermodynamic process, its volume must increase. In the light of the above…
Physics · Heat and Thermodynamics · MCQ
Q55.A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The path of the charge particle will be
Physics · Magnetics · MCQ
Q56.Two forces having magnitude $A$ and $\frac{A}{2}$ are perpendicular to each other. The magnitude of their resultant is:
Physics · Vector Algebra · MCQ
Q57.At any instant the velocity of a particle of mass $(2 t \hat{i} + 3 t^{2} \hat{j}) ms^{- 1}$ is $(2 t \hat{i} + 3 t^{2} \hat{j}) ms^{- 1}$ . If the force acting on the particle at $t = 1 s$ is $(\hat{i} + x \hat{j}) N$ . Then the…
Physics · Laws of Motion · MCQ
Q58.A cylindrical wire of mass $(0.4 \pm 0.01) g$ has length $(8 \pm 0.04) cm$ and radius $(6 \pm 0.03) mm$ . The maximum error in its density will be:
Physics · Units and Measurements · MCQ
Q59.Two projectiles A and B are thrown with initial velocities of $40 m / s$ and $60 m / s$ at angles $3 0^{\circ}$ and $6 0^{\circ}$ with the horizontal respectively. The ratio of their ranges respectively…
Physics · Motion in A Plane · MCQ
Q60.For a nucleus $_{A}^{A} X$ having mass number $A$ and atomic number $Z$ A. The surface energy per nucleon $(b_{s}) = - a_{1} A^{2/3}$ . B. The Coulomb contribution to the…
Physics · Atoms and Nuclei · MCQ
Q61.An aluminium rod with Young's modulus $Y = 7.0 \times 1 0^{10} N / m^{2}$ undergoes elastic strain of $0.04%$ . The energy per unit volume stored in the rod in SI unit is:
Physics · Properties of Matter · MCQ
Q62.For the logic circuit shown, the output waveform at $Y$ is: Includes diagram
Physics · Electronic Devices · MCQ
Q63.The weight of a body on the earth is $400 N$ . Then weight of the body when taken to a depth half of the radius of the earth will be:
Physics · Gravitation · MCQ
Q64.Proton $(P)$ and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assume, $m_{p} = 1849 m_{e}$ ):
Physics · Dual Nature of Radiation · MCQ
Q65.In this figure the resistance of the coil of galvanometer G is $2 Ω$ . The emf of the cell is $C_{1}$ . The ratio of potential difference across $C_{1}$ and $C_{2}$ is: Includes diagram
Physics · Capacitor · MCQ
Q66.The magnetic intensity at the center of a long current carrying solenoid is found to be $1.6 \times 1 0^{3} Am^{- 1}$ . If the number of turns is 8 per cm, then the current flowing through the solenoid is A.
Physics · Magnetic Properties of Matter · Numerical
Q67.An organ pipe $360 ms^{- 1}$ long is open at both ends. The speed of sound in air is $360 ms^{- 1}$ . The frequency of the second harmonic is $Hz$ .
Physics · Waves · Numerical
Q68.A current of $25.0 mm^{2}$ flows through a wire of cross-sectional area $25.0 mm^{2}$ . The number of free electrons in a cubic meter are $2.0 \times 1 0^{28}$ . The drift velocity of the electrons is $\times 1 0^{- 6} ms^{- 1}$ …
Physics · Current Electricity · Numerical
Q69.A nucleus with mass number 242 and binding energy per nucleon as $8.1 MeV$ breaks into two fragment each with mass number 121. If each fragment nucleus has binding energy per nucleon as $8.1 MeV$ , the total gain in…
Physics · Atoms and Nuclei · Numerical
Q70.The momentum of a body is increased by $50%$ . The percentage increase in the kinetic energy of the body is $%$ .
Physics · Center of Mass · Numerical
Q71.An electric dipole of dipole moment is $6.0 \times 1 0^{- 6} Cm$ placed in a uniform electric field of $1.5 \times 1 0^{3} NC^{- 1}$ in such a way that dipole moment is along electric field. The work done in rotating…
Physics · Electrostatics · Numerical
Q72.Two vertical parallel mirrors A and B are separated by $O$ . A point object $O$ is placed at a distance of $A$ from mirror $A$ . The distance of the second nearest image behind mirror A from the… Includes diagram
Physics · Geometrical Optics · Numerical
Q73.An air bubble of diameter $1750 kg / m^{3}$ rises steadily through a solution of density $1750 kg / m^{3}$ at the rate of $0.35 cm / s$ . The co-efficient of viscosity of the solution (neglect density of…
Physics · Properties of Matter · Numerical
Q74.An oscillating LC circuit consists of a $1.2 μ F$ inductor and a $1.2 μ F$ capacitor. If the maximum charge to the capacitor is $2.7 μ C$ . The maximum current in the circuit will be $mA$ …
Physics · Alternating Current · Numerical
Q75.The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of ring, is $\frac{1}{x} MR^{2}$ , where $R$ is the radius and $M$ is the mass of the semicircular ring.…
Physics · Rotational Motion · Numerical