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2023 · 1 Feb · Shift 2

74 questions · JEE Main

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2023 · 1 Feb · Shift 2

2023 · 1 Feb · Shift 2

74 questions · JEE Main

Chemistry23 questions Mathematics23 questions Physics28 questions

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

Q1. $O - O$ bond length in $H_{2} O_{2}$ is $\underline{X}$ than the $O - O$ bond length in $F_{2} O_{2}$ . The $O - H$ bond length in $H_{2} O_{2}$ …
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.All structures given below are of vitamin C. Most stable of them is :
Chemistry · Biomolecules · MCQ
Q3.' $X$ ' is : Includes diagram
Chemistry · Hydrocarbons · MCQ
Q4.In a reaction, reagents 'X' and 'Y' respectively are : Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q5.Given below are two statements : Statement I : Sulphanilic acid gives esterification test for carboxyl group. Statement II : Sulphanilic acid gives red colour in Lassigne's test for extra element detection. In the light of the above…
Chemistry · Practical Organic Chemistry · MCQ
Q6.Which element is not present in Nessler's reagent?
Chemistry · D and F Block Elements · MCQ
Q7.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : $α$ -halocarboxylic acid on reaction with dil. $N H_{3}$ gives good yield of $α$ -amino carboxylic…
Chemistry · Biomolecules · MCQ
Q8.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : $C u^{2 +}$ in water is more stable than $C u^{+}$ . Reason (R) : Enthalpy of hydration for $C u^{2 +}$ …
Chemistry · D and F Block Elements · MCQ
Q9.The effect of addition of helium gas to the following reaction in equilibrium state, is : $PCl_{5} (g) ⇌ PCl_{3} (g) + Cl_{2} (g)$
Chemistry · Chemical Equilibrium · Multiple correct
Q10.Which one of the following sets of ions represents a collection of isoelectronic species? (Given : Atomic Number : $F : 9, Cl : 17, Na = 11, Mg = 12, Al = 13, K = 19, Ca = 20, Sc = 21$ )
Chemistry · Structure of Atom · MCQ
Q11.For electron gain enthalpies of the elements denoted as $Δ_{eg} H$ , the incorrect option is :
Chemistry · P Block Elements · MCQ
Q12.Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : An aqueous solution of $KOH$ when used for volumetric analysis, its concentration should be checked before…
Chemistry · Electrochemistry · MCQ
Q13.The complex cation which has two isomers is :
Chemistry · Coordination Compounds · MCQ
Q14.The structures of major products A, B and C in the following reaction are sequence. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q15.The graph which represents the following reaction is : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q16.Among following compounds, the number of those present in copper matte is . A. $CuC O_{3}$ B. $C u_{2} S$ C. $C u_{2} O$ D. $FeO$
Chemistry · D and F Block Elements · Numerical
Q17. $1 \times 1 0^{- 5} M AgNO_{3}$ is added to $1 L$ of saturated solution of $AgBr$ . The conductivity of this solution at $298 K$ is $\times 1 0^{- 8} S m^{- 1}$ …
Chemistry · Electrochemistry · Numerical
Q18.Testosterone, which is a steroidal hormone, has the following structure. The total number of asymmetric carbon atom/s in testosterone is . Includes diagram
Chemistry · Biomolecules · Numerical
Q19. $20%$ of acetic acid is dissociated when its $5 g$ is added to $500 mL$ of water. The depression in freezing point of such water is $\times 1 0^{- 3}^{\circ} C$ . Atomic mass of $C, H$ …
Chemistry · Solutions · Numerical
Q20. $0.3 g$ of ethane undergoes combustion at $2 7^{\circ} C$ in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by $0. 5^{\circ} C$ . The heat evolved during combustion…
Chemistry · Thermodynamics · Numerical
Q21.The molality of a $10% (v / v)$ solution of di-bromine solution in $CCl_{4}$ (carbon tetrachloride) is ' $x$ '. $x =$ $\times 1 0^{- 2} M$ . (Nearest integer) [Given : molar mass of $Br_{2} = 160 g mol^{- 1}$ …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.The spin only magnetic moment of $[Mn (H_{2} O)_{6}]^{2 +}$ complexes is B.M. (Nearest integer) (Given : Atomic no. of Mn is 25)
Chemistry · Coordination Compounds · Numerical
Q23. $A$ $\to B$ The above reaction is of zero order. Half life of this reaction is $50 min$ . The time taken for the concentration of $A$ to reduce to one-fourth of its initial value is …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q24.Let $9 = x_{1} < x_{2} < \dots < x_{7}$ be in an A.P. with common difference d. If the standard deviation of $x_{1}, x_{2} ..., x_{7}$ is 4 and the mean is $\overset{x}{ˉ}$ , then $\overset{x}{ˉ} + x_{6}$ is equal to :
Mathematics · Statistics · MCQ
Q25.Let $P (S)$ denote the power set of $S = {1, 2, 3, \dots ., 10}$ . Define the relations $R_{1}$ and $R_{2}$ on $P (S)$ as $AR_{1} B$ if $(A \cap B^{c}) \cup (B \cap A^{c}) = \emptyset$ …
Mathematics · Sets and Relations · MCQ
Q26.The sum of the absolute maximum and minimum values of the function $f (x) = x^{2} - 5 x + 6 - 3 x + 2$ in the interval $[- 1, 3]$ is equal to :
Mathematics · Application of Derivatives · MCQ
Q27.Let $a = 5 \hat{i} - \hat{j} - 3 \hat{k}$ and $b = \hat{i} + 3 \hat{j} + 5 \hat{k}$ be two vectors. Then which one of the following statements is TRUE ?
Mathematics · Vector Algebra · MCQ
Q28.For the system of linear equations $α x + y + z = 1, x + α y + z = 1, x + y + α z = β$ , which one of the following statements is NOT correct?
Mathematics · Matrices and Determinants · MCQ
Q29.If $y (x) = x^{x}, x > 0$ , then $y^{''} (2) - 2 y^{'} (2)$ is equal to
Mathematics · Differentiation · MCQ
Q30.The value of the integral $- \frac{π}{4} \int \frac{π}{4} \frac{x + \frac{π}{4}}{2 - c o s 2 x} d x$ is :
Mathematics · Definite Integration · MCQ
Q31.The area of the region given by ${(x, y) : x y \leq 8, 1 \leq y \leq x^{2}}$ is :
Mathematics · Area Under the Curves · MCQ
Q32.The number of integral values of k, for which one root of the equation $2 x^{2} - 8 x + k = 0$ lies in the interval (1, 2) and its other root lies in the interval (2, 3), is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q33.Let $a, b$ be two real numbers such that $ab < 0$ . IF the complex number $\frac{1 + ai}{b + i}$ is of unit modulus and $a + ib$ lies on the circle $∣ z - 1∣ = ∣2 z ∣$ , then a possible value of $\frac{1 + [ a ]}{4 b}$ , where $[t]$ is greatest integer…
Mathematics · Complex Numbers · MCQ
Q34.If $A = \frac{1}{2} [1 - 3 31]$ , then :
Mathematics · Matrices and Determinants · MCQ
Q35.Two dice are thrown independently. Let $A$ be the event that the number appeared on the $1^{st}$ die is less than the number appeared on the $2^{nd}$ die, $B$ be the event that the number appeared on the…
Mathematics · Probability · MCQ
Q36.Let $a = 2 \hat{i} - 7 \hat{j} + 5 \hat{k}, b = \hat{i} + \hat{k}$ and $c = \hat{i} + 2 \hat{j} - 3 \hat{k}$ be three given vectors. If $r$ is a vector such that $r \times a = c \times a$ …
Mathematics · Vector Algebra · MCQ
Q37.Let $S = {x \in R : 0 < x < 1 and 2 tan^{- 1} (\frac{1 - x}{1 + x}) = cos^{- 1} (\frac{1 - x ^{2}}{1 + x ^{2}})}$ . If $n (S)$ denotes the number of elements in $S$ then :
Mathematics · Inverse Trigonometric Functions · MCQ
Q38.Let $f : R - 0, 1 \to R$ be a function such that $f (x) + f (\frac{1}{1 - x}) = 1 + x$ . Then $f (2)$ is equal to
Mathematics · Functions · MCQ
Q39.Let $α x = exp (x^{β} y^{γ})$ be the solution of the differential equation $2 x^{2} y d y - (1 - x y^{2}) d x = 0, x > 0, y (2) = lo g_{e} 2$ . Then $α + β - γ$ equals :
Mathematics · Differential Equations · MCQ
Q40.If the $x$ -intercept of a focal chord of the parabola $y^{2} = 8 x + 4 y + 4$ is 3, then the length of this chord is equal to .
Mathematics · Parabola · Numerical
Q41.If $0 \int π \frac{5 ^{c o s x} ( 1 + c o s x c o s 3 x + c o s ^{2} x + c o s ^{3} x c o s 3 x ) d x}{1 + 5 ^{c o s x}} = \frac{k π}{16}$ , then k is equal to .
Mathematics · Definite Integration · Numerical
Q42.Let the sixth term in the binomial expansion of $(2^{l o g_{2} (10 - 3^{x})} + 5 2^{(x - 2) l o g_{2} 3})^{m}$ in the increasing powers of $2^{(x - 2) l o g_{2} 3}$ , be 21 . If the…
Mathematics · Binomial Theorem · Numerical
Q43.The sum of the common terms of the following three arithmetic progressions. $3, 7, 11, 15, \dots ., 399$ , $2, 5, 8, 11, \dots ., 359$ and $2, 7, 12, 17, \dots ., 197$ , is equal to .
Mathematics · Sequences and Series · Numerical
Q44.Number of integral solutions to the equation $x + y + z = 21$ , where $x \geq 1, y \geq 3, z \geq 4$ , is equal to .
Mathematics · Permutations and Combinations · Numerical
Q45.If the term without $x$ in the expansion of $(x^{\frac{2}{3}} + \frac{α}{x ^{3}})^{22}$ is 7315 , then $∣ α ∣$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q46.The total number of six digit numbers, formed using the digits 4, 5, 9 only and divisible by 6, is .
Mathematics · Permutations and Combinations · Numerical
Q47.Given below are two statements : One is labelled as Assertion $A$ and the other is labelled as Reason $R$ . Assertion A : For measuring the potential difference across a resistance of $600Ω$ , the voltmeter with…
Physics · Current Electricity · MCQ
Q48.The escape velocities of two planets $A$ and $B$ are in the ratio $1 : 2$ . If the ratio of their radii respectively is $1 : 3$ , then the ratio of acceleration due to gravity of planet A to the acceleration of gravity of…
Physics · Gravitation · MCQ
Q49.The ratio of average electric energy density and total average energy density of electromagnetic wave is :
Physics · Electromagnetic Waves · MCQ
Q50.Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be :
Physics · Current Electricity · MCQ
Q51.A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed : A. By changing the magnitude of the magnetic field within the coil. B. By…
Physics · Electromagnetic Induction · MCQ
Q52.Given below are two statements: One is labeled as Assertion A and the other is labeled as Reason R. Assertion A : Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same…
Physics · Capacitor · MCQ
Q53.Choose the correct length (L) versus square of the time period ( $T^{2}$ ) graph for a simple pendulum executing simple harmonic motion.
Physics · Simple Harmonic Motion · MCQ
Q54.If the velocity of light $c$ , universal gravitational constant $G$ and Planck's constant $h$ are chosen as fundamental quantities. The dimensions of mass in the new system is :
Physics · Units and Measurements · MCQ
Q55.The Young's modulus of a steel wire of length $6 m$ and cross-sectional area $3 mm^{2}$ , is $2 \times 1 0^{11} N / m^{2}$ . The wire is suspended from its support on a given planet. A block of mass $4 kg$ …
Physics · Properties of Matter · MCQ
Q56.Choose the correct statement about Zener diode :
Physics · Electronic Devices · MCQ
Q57.As shown in the figure a block of mass 10 kg lying on a horizontal surface is pulled by a force F acting at an angle $3 0^{\circ}$ , with horizontal. For $μ_{s} = 0.25$ , the block will just start to move for the value of F : [Given $g = 10 ms^{- 2}$ … Includes diagram
Physics · Laws of Motion · MCQ
Q58.Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images formed by the mirror is .
Physics · Geometrical Optics · MCQ
Q59.For a body projected at an angle with the horizontal from the ground, choose the correct statement.
Physics · Gravitation · MCQ
Q60.As shown in the figure, a long straight conductor with semicircular arc of radius $\frac{π}{10}$ m is carrying current $I = 3A$ . The magnitude of the magnetic field, at the center O of the arc is : (The permeability of the vacuum $= 4 π \times 1 0^{- 7} NA^{- 2}$ … Includes diagram
Physics · Magnetics · MCQ
Q61.The threshold frequency of a metal is $f_{0}$ . When the light of frequency $2 f_{0}$ is incident on the metal plate, the maximum velocity of photoelectrons is $v_{1}$ . When the frequency of incident radiation is increased to $5 f_{0}$ …
Physics · Dual Nature of Radiation · MCQ
Q62.For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure. The temperature corresponding to the point ' $K$ ' is : Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q63.Figures (a), (b), (c) and (d) show variation of force with time. The impulse is highest in figure. Includes diagram
Physics · Laws of Motion · MCQ
Q64.An electron of a hydrogen like atom, having $Z = 4$ , jumps from $4^{th}$ energy state to $2^{nd}$ energy state. The energy released in this process, will be : (Given Rch = $13.6 eV$ ) Where R = Rydberg constant c =…
Physics · Atoms and Nuclei · MCQ
Q65.A square shaped coil of area $70 cm^{2}$ having 600 turns rotates in a magnetic field of $0.4 wbm^{- 2}$ , about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the…
Physics · Alternating Current · Numerical
Q66.A block is fastened to a horizontal spring. The block is pulled to a distance $x = 10 cm$ from its equilibrium position (at $x = 0$ ) on a frictionless surface from rest. The energy of the block at $x = 5 cm$ is $0.25 J$ …
Physics · Work Power and Energy · Numerical
Q67.As shown in the figure, in Young's double slit experiment, a thin plate of thickness $t = 10 μ m$ and refractive index $μ = 1.2$ is inserted infront of slit $S_{1}$ . The experiment is conducted in air $(μ = 1)$ and uses a… Includes diagram
Physics · Wave Optics · Numerical
Q68.Nucleus A having $Z = 17$ and equal number of protons and neutrons has $1.2 MeV$ binding energy per nucleon. Another nucleus $B$ of $Z = 12$ has total 26 nucleons and $1.8 MeV$ binding energy per nucleons. The…
Physics · Atoms and Nuclei · Numerical
Q69.Moment of inertia of a disc of mass ' $M$ ' and radius ' $R$ ' about any of its diameter is $\frac{M R ^{2}}{4}$ . The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, $\frac{x}{2}$ …
Physics · Rotational Motion · Numerical
Q70.The surface of water in a water tank of cross section area $750 cm^{2}$ on the top of a house is $h m$ above the tap level. The speed of water coming out through the tap of cross section area $500 mm^{2}$ is $30 cm / s$ …
Physics · Properties of Matter · Numerical
Q71.A force $F = (5 + 3 y^{2})$ acts on a particle in the $y$ -direction, where $F$ is in newton and $y$ is in meter. The work done by the force during a displacement from $y = 2 m$ to $y = 5 m$ is …
Physics · Work Power and Energy · Numerical
Q72.For a train engine moving with speed of $20 ms^{- 1}$ , the driver must apply brakes at a distance of 500 $m$ before the station for the train to come to rest at the station. If the brakes were applied at half of this…
Physics · Motion in A Straight Line · Numerical
Q73.In the given circuit, the value of $\frac{I _{1} + I _{3}}{I _{2}}$ is Includes diagram
Physics · Current Electricity · Numerical
Q74.A cubical volume is bounded by the surfaces $x = 0, x = a, y = 0, y = a, z = 0, z = a$ . The electric field in the region is given by $E = E_{0} x \hat{i}$ . Where $E_{0} = 4 \times 1 0^{4} NC^{- 1} m^{- 1}$ …
Physics · Electrostatics · Numerical