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2023 · 1 Feb · Shift 1

71 questions · JEE Main

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2023 · 1 Feb · Shift 1

2023 · 1 Feb · Shift 1

71 questions · JEE Main

Chemistry21 questions Mathematics22 questions Physics28 questions

Coordination CompoundsChemistry · 3 questions D and F Block ElementsChemistry · 1 questions BiomoleculesChemistry · 2 questions HydrocarbonsChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions SolutionsChemistry · 1 questions Structure of AtomChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions Redox ReactionsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Permutations and CombinationsMathematics · 3 questions Inverse Trigonometric FunctionsMathematics · 1 questions Sets and RelationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions StatisticsMathematics · 1 questions DifferentiationMathematics · 2 questions FunctionsMathematics · 1 questions Differential EquationsMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Definite IntegrationMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Binomial TheoremMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Vector AlgebraMathematics · 1 questions ElectrostaticsPhysics · 2 questions Wave OpticsPhysics · 1 questions Alternating CurrentPhysics · 2 questions Electronic DevicesPhysics · 1 questions MagneticsPhysics · 2 questions Current ElectricityPhysics · 1 questions GravitationPhysics · 2 questions WavesPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Motion in A PlanePhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Laws of MotionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Properties of MatterPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Rotational MotionPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions

Q1.Which of the following complex will show largest splitting of d-orbitals?
Chemistry · Coordination Compounds · MCQ
Q2.Which of the following are the example of double salt? A. $FeSO_{4} \cdot (NH_{4})_{2} SO_{4} \cdot 6 H_{2} O$ B. $CuSO_{4} \cdot 4 NH_{3} \cdot H_{2} O$ …
Chemistry · Coordination Compounds · MCQ
Q3.Highest oxidation state of Mn is exhibited in $M n_{2} O_{7}$ . The correct statements about $M n_{2} O_{7}$ are (A) Mn is tetrahedrally surrounded by oxygen atoms. (B) Mn is octahedrally surrounded by oxygen atoms. (C) Contains $M n - O - M n$ …
Chemistry · D and F Block Elements · MCQ
Q4.The correct representation in six membered pyranose form for the following sugar [X] is Includes diagram
Chemistry · Biomolecules · MCQ
Q5.But-2-yne is reacted separately with one mole of Hydrogen as shown below : A. A is more soluble than B. B. The boiling point & melting point of A are higher and lower than B respectively. C. A is more polar than B because dipole moment… Includes diagram
Chemistry · Hydrocarbons · MCQ
Q6.Resonance in carbonate ion $(CO_{3}^{2 -})$ is Which of the following is true? Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q7.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Biomolecules · MCQ
Q8.In the following reaction, 'A' is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.A solution of $FeC l_{3}$ when treated with $K_{4} [Fe (CN)_{6}]$ gives a prussium blue precipitate due to the formation of :
Chemistry · Coordination Compounds · MCQ
Q10.Identify the incorrect option from the following
Chemistry · Alcohols Phenols and Ethers · MCQ
Q11.Decreasing order of dehydration of the following alcohols is Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q12.25 mL of an aqueous solution of KCl was found to require 20 mL of 1 M $AgN O_{3}$ solution when titrated using $K_{2} Cr O_{4}$ as an indicator. What is the depression in freezing point of KCl solution of the given concentration? …
Chemistry · Solutions · Numerical
Q13.Electrons in a cathode ray tube have been emitted with a velocity of 1000 m s $^{- 1}$ . The number of following statements which is/are $\underline{true}$ about the emitted radiation is . Given : $h = 6 \times 1 0^{- 34} J s, m_{e} = 9 \times 1 0^{- 31} kg$ …
Chemistry · Structure of Atom · Numerical
Q14.At what pH, given half cell $Mn O_{4}^{-} (0.1 M) ∣ M n^{2 +} (0.001 M)$ will have electrode potential of 1.282 V? (Nearest Integer) Given $E_{Mn O_{4}^{-} ∣M n^{2 +}}^{o} = 1.54 V, \frac{2.303 RT}{F} = 0.059 V$ …
Chemistry · Electrochemistry · Numerical
Q15.A and B are two substances undergoing radioactive decay in a container. The half life of A is 15 min and that of B is 5 min. If the initial concentration of B is 4 times that of A and they both start decaying at the same time, how much…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q16.At $2 5^{\circ} C$ , the enthalpy of the following processes are given : What would be the value of X for the following reaction ? (Nearest integer) $H_{2} O (g) \to H (g) + OH (g) Δ H^{\circ} = X kJ mo l^{- 1}$ … Includes table
Chemistry · Thermodynamics · Numerical
Q17.Sum of oxidation states of bromine in bromic acid and perbromic acid is .
Chemistry · Redox Reactions · Numerical
Q18.Number of isomeric compounds with molecular formula $C_{9} H_{10} O$ which (i) do not dissolve in $NaOH$ (ii) do not dissolve in $HCl$ . (iii) do not give orange precipitate with 2,4-DNP (iv) on…
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q19.The total number of chiral compound/s from the following is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q20.(i) $X (g) ⇌ Y (g) + Z (g) K_{p 1} = 3$ (ii) $A (g) ⇌ 2 B (g) K_{p 2} = 1$ …
Chemistry · Chemical Equilibrium · Numerical
Q21.The density of $3 M$ solution of $NaCl$ is $1.0 g mL^{- 1}$ . Molality of the solution is $\times 1 0^{- 2} m$ . (Nearest integer). Given: Molar mass of $Na$ and $Cl$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.The value of $\frac{1}{1 ! 50 !} + \frac{1}{3 ! 48 !} + \frac{1}{5 ! 46 !} + \dots . + \frac{1}{49 ! 2 !} + \frac{1}{51 ! 1 !}$ is :
Mathematics · Permutations and Combinations · MCQ
Q23.Let $S$ be the set of all solutions of the equation $cos^{- 1} (2 x) - 2 cos^{- 1} (1 - x^{2}) = π, x \in [- \frac{1}{2}, \frac{1}{2}]$ . Then $\sum_{x \in S} 2 sin^{- 1} (x^{2} - 1)$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q24.Let $R$ be a relation on $R$ , given by $R = {(a, b) : 3 a - 3 b + 7$ is an irrational number $}$ . Then $R$ is
Mathematics · Sets and Relations · MCQ
Q25.The shortest distance between the lines $\frac{x - 5}{1} = \frac{y - 2}{2} = \frac{z - 4}{- 3}$ and $\frac{x + 3}{1} = \frac{y + 5}{4} = \frac{z - 1}{- 5}$ is :
Mathematics · 3D Geometry · MCQ
Q26.Let $S$ denote the set of all real values of $λ$ such that the system of equations $λ x + y + z = 1 x + λ y + z = 1 x + y + λ z = 1$ is inconsistent, then $\sum_{λ \in S} (∣ λ ∣^{2} + ∣ λ ∣)$ is equal to
Mathematics · Matrices and Determinants · MCQ
Q27.Let $S = {x : x \in R and (3 + 2)^{x^{2} - 4} + (3 - 2)^{x^{2} - 4} = 10}$ . Then $n (S)$ is equal to
Mathematics · Quadratic Equation and Inequalities · MCQ
Q28.If the center and radius of the circle $\frac{z - 2}{z - 3} = 2$ are respectively $(α, β)$ and $γ$ , then $3 (α + β + γ)$ is equal to :
Mathematics · Complex Numbers · MCQ
Q29.The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are 1, 3, 5, then the sum of cubes of the remaining two observations is :
Mathematics · Statistics · MCQ
Q30.Let $f (x) = 2 x + tan^{- 1} x$ and $g (x) = lo g_{e} (1 + x^{2} + x), x \in [0, 3]$ . Then
Mathematics · Differentiation · MCQ
Q31.Let $f (x) = 1 + sin^{2} x sin^{2} x sin^{2} x cos^{2} x 1 + cos^{2} x cos^{2} x sin 2 x sin 2 x 1 + sin 2 x, x \in [\frac{π}{6}, \frac{π}{3}]$ …
Mathematics · Functions · MCQ
Q32.The area enclosed by the closed curve $C$ given by the differential equation $\frac{d y}{d x} + \frac{x + a}{y - 2} = 0, y (1) = 0$ is $4 π$ . Let $P$ and $Q$ be the points of intersection of the curve $C$ and the $y$ -axis. If…
Mathematics · Differential Equations · MCQ
Q33.If the orthocentre of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is $(α, β)$ , then the quadratic equation whose roots are $α + 4 β$ and $4 α + β$ , is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q34.If $y = y (x)$ is the solution curve of the differential equation $\frac{d y}{d x} + y tan x = x sec x, 0 \leq x \leq \frac{π}{3}, y (0) = 1$ , then $y (\frac{π}{6})$ is equal to
Mathematics · Differential Equations · MCQ
Q35.If $\int_{0}^{1} (x^{21} + x^{14} + x^{7}) (2 x^{14} + 3 x^{7} + 6)^{1/7} d x = \frac{1}{l} (11)^{m / n}$ where $l, m, n \in N, m$ and $n$ are coprime then $l + m + n$ is equal to .
Mathematics · Definite Integration · Numerical
Q36.Let $a_{1} = 8, a_{2}, a_{3}, \dots, a_{n}$ be an A.P. If the sum of its first four terms is 50 and the sum of its last four terms is 170 , then the product of its middle two terms is .
Mathematics · Sequences and Series · Numerical
Q37.Let $f : R \to R$ be a differentiable function such that $f^{'} (x) + f (x) = \int_{0}^{2} f (t) d t$ . If $f (0) = e^{- 2}$ , then $2 f (0) - f (2)$ is equal to .
Mathematics · Definite Integration · Numerical
Q38.The remainder, when $1 9^{200} + 2 3^{200}$ is divided by 49 , is .
Mathematics · Binomial Theorem · Numerical
Q39.The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is .
Mathematics · Permutations and Combinations · Numerical
Q40.The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is .
Mathematics · Permutations and Combinations · Numerical
Q41.Let $A$ be the area bounded by the curve $y = x ∣ x - 3∣$ , the $x$ -axis and the ordinates $x = - 1$ and $x = 2$ . Then $12 A$ is equal to .
Mathematics · Area Under the Curves · Numerical
Q42. $A (2, 6, 2), B (- 4, 0, λ), C (2, 3, - 1)$ and $D (4, 5, 0), ∣ λ ∣ \leq 5$ are the vertices of a quadrilateral $A B C D$ . If its area is 18 square units, then $5 - 6 λ$ is equal to .
Mathematics · Vector Algebra · Numerical
Q43.If $f (x) = x^{2} + g^{'} (1) x + g^{''} (2)$ and $g (x) = f (1) x^{2} + x f^{'} (x) + f^{''} (x)$ , then the value of $f (4) - g (4)$ is equal to .
Mathematics · Differentiation · Numerical
Q44.Let $σ$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region $E_{I}, E_{I I}$ and $E_{I I I}$ are: Includes diagram
Physics · Electrostatics · MCQ
Q45.' $n$ ' polarizing sheets are arranged such that each makes an angle $4 5^{\circ}$ with the preceeding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be $I /64$ . The value of…
Physics · Wave Optics · MCQ
Q46.Match List - I with List - II : Choose the correct answer from the options given below : Includes table
Physics · Alternating Current · MCQ
Q47.Match List I with List II: Choose the correct answer from the options given below : Includes table
Physics · Electronic Devices · MCQ
Q48.Find the magnetic field at the point $P$ in figure. The curved portion is a semicircle connected to two long straight wires. Includes diagram
Physics · Magnetics · MCQ
Q49.The equivalent resistance between $A$ and $B$ of the network shown in figure; Includes diagram
Physics · Current Electricity · MCQ
Q50.If earth has a mass nine times and radius twice to that of a planet P. Then $\frac{v _{e}}{3} x ms^{- 1}$ will be the minimum velocity required by a rocket to pull out of gravitational force of $P$ , where $v_{e}$ is…
Physics · Gravitation · MCQ
Q51.A steel wire with mass per unit length $7.0 \times 1 0^{- 3} kg m^{- 1}$ is under tension of $70 N$ . The speed of transverse waves in the wire will be:
Physics · Waves · MCQ
Q52.An object moves with speed $v_{1}, v_{2}$ and $v_{3}$ along a line segment AB, BC and CD respectively as shown in figure. Where AB = BC and AD = 3AB, then average speed of the object will be: Includes diagram
Physics · Motion in A Straight Line · MCQ
Q53.A child stands on the edge of the cliff $5 ms^{- 1}$ above the ground and throws a stone horizontally with an initial speed of $5 ms^{- 1}$ . Neglecting the air resistance, the speed with which the stone hits the ground will be…
Physics · Motion in A Plane · MCQ
Q54.A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of $λ$ . An alpha particle having certain kinetic energy has the same de-Brogle wavelength $λ$ . The ratio of kinetic energy of proton and…
Physics · Dual Nature of Radiation · MCQ
Q55.Given below are two statements: Statement I: Acceleration due to gravity is different at different places on the surface of earth. Statement II: Acceleration due to gravity increases as we go down below the earth's surface. In the light of…
Physics · Gravitation · MCQ
Q56.A sample of gas at temperature $T$ is adiabatically expanded to double its volume. The work done by the gas in the process is $(given, γ = \frac{3}{2})$ :
Physics · Heat and Thermodynamics · MCQ
Q57.A block of mass $30 N$ is placed at rest on a table of rough surface. Now, if a force of $50 m$ is applied in the direction parallel to surface of the table, the block slides through a distance of $50 m$ in an…
Physics · Laws of Motion · MCQ
Q58.Match List I with List II : Choose the correct answer from the options given below : Includes table
Physics · Electromagnetic Waves · MCQ
Q59.The mass of proton, neutron and helium nucleus are respectively $1.0073 u, 1.0087 u$ and $4.0015 u$ . The binding energy of helium nucleus is :
Physics · Atoms and Nuclei · MCQ
Q60. $(P + \frac{a}{V ^{2}}) (V - b) = R T$ represents the equation of state of some gases. Where $P$ is the pressure, $V$ is the volume, $T$ is the temperature and $a, b, R$ are the constants. The physical quantity, which has dimensional…
Physics · Heat and Thermodynamics · MCQ
Q61.The average kinetic energy of a molecule of the gas is
Physics · Heat and Thermodynamics · MCQ
Q62.A mercury drop of radius $1 0^{- 3} m$ is broken into 125 equal size droplets. Surface tension of mercury is $0.45 Nm^{- 1}$ . The gain in surface energy is :
Physics · Properties of Matter · MCQ
Q63.Two equal positive point charges are separated by a distance $2 a$ . The distance of a point from the centre of the line joining two charges on the equatorial line (perpendicular bisector) at which force experienced by a test charge $q_{0}$ …
Physics · Electrostatics · Numerical
Q64.A charge particle of $2 μ C$ accelerated by a potential difference of $4 mT$ enters a region of uniform magnetic field of magnitude $4 mT$ at right angle to the direction of field. The charge particle…
Physics · Magnetics · Numerical
Q65.A light of energy $\frac{x}{π} \times 1 0^{- 17} eVs$ is incident on a hydrogen atom in its ground state. The atom absorbs the radiation and reaches to one of its excited states. The angular momentum of the atom in the excited state is $\frac{x}{π} \times 1 0^{- 17} eVs$ …
Physics · Atoms and Nuclei · Numerical
Q66.A thin cylindrical rod of length $20 cm$ is placed horizontally on the principle axis of a concave mirror of focal length $40 cm$ . The rod is placed in a such a way that mid point of the rod is at $40 cm$ from…
Physics · Geometrical Optics · Numerical
Q67.A small particle moves to position $5 \hat{i} - 2 \hat{j} + \hat{k}$ from its initial position $2 \hat{i} + 3 \hat{j} - 4 \hat{k}$ under the action of force $5 \hat{i} + 2 \hat{j} + 7 \hat{k} N$ . The value of work done will be …
Physics · Work Power and Energy · Numerical
Q68.A series LCR circuit is connected to an ac source of $220 V, 50 Hz$ . The circuit contain a resistance $R = 100 Ω$ and an inductor of inductive reactance $X_{L} = 79.6 Ω$ . The…
Physics · Alternating Current · Numerical
Q69.A solid cylinder is released from rest from the top of an inclined plane of inclination $3 0^{\circ}$ and length $ms^{- 1}$ . If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is $ms^{- 1}$ … Includes diagram
Physics · Rotational Motion · Numerical
Q70.The amplitude of a particle executing SHM is $25%$ . The displacement at which its kinetic energy will be $25%$ more than the potential energy is: $cm$
Physics · Simple Harmonic Motion · Numerical
Q71.A certain pressure ' $P$ ' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets compressed to $0.01%$ whereas the liquid gets compressed to $0.03%$ . The ratio of Bulk modulus of water to that of the…
Physics · Properties of Matter · Numerical