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2024 · 8 Apr · Shift 2

90 questions · JEE Main

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2024 · 8 Apr · Shift 2

2024 · 8 Apr · Shift 2

90 questions · JEE Main

Chemistry30 questions Mathematics30 questions Physics30 questions

Alcohols Phenols and EthersChemistry · 2 questions Ionic EquilibriumChemistry · 2 questions Compounds Containing NitrogenChemistry · 2 questions Coordination CompoundsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 3 questions ElectrochemistryChemistry · 3 questions Basics of Organic ChemistryChemistry · 4 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions P Block ElementsChemistry · 3 questions HydrocarbonsChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions ThermodynamicsChemistry · 1 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions Differential EquationsMathematics · 2 questions 3D GeometryMathematics · 2 questions ProbabilityMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Vector AlgebraMathematics · 2 questions Straight Lines and Pair of Straight LinesMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Definite IntegrationMathematics · 1 questions FunctionsMathematics · 1 questions Sequences and SeriesMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 2 questions Sets and RelationsMathematics · 1 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Application of DerivativesMathematics · 2 questions Trigonometric Ratio and IdentitesMathematics · 1 questions CircleMathematics · 1 questions Binomial TheoremMathematics · 1 questions StatisticsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions HyperbolaMathematics · 1 questions MagneticsPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Units and MeasurementsPhysics · 3 questions GravitationPhysics · 1 questions Current ElectricityPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions Atoms and NucleiPhysics · 2 questions Laws of MotionPhysics · 1 questions CapacitorPhysics · 1 questions Properties of MatterPhysics · 2 questions Motion in A PlanePhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Rotational MotionPhysics · 2 questions Alternating CurrentPhysics · 2 questions WavesPhysics · 1 questions ElectrostaticsPhysics · 1 questions Wave OpticsPhysics · 1 questions Electronic DevicesPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions

Q1.Match List I with List II Choose the correct answer from the options given below : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q2.Given below are two statements : Statement (I) : A Buffer solution is the mixture of a salt and an acid or a base mixed in any particular quantities Statement (II) : Blood is naturally occurring buffer solution whose $pH$ is…
Chemistry · Ionic Equilibrium · MCQ
Q3.Given below are two statements : Statement (I) : All the following compounds react with p-toluenesulfonyl chloride. $C_{6} H_{5} NH_{2} (C_{6} H_{5})_{2} NH (C_{6} H_{5})_{3} N$ …
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q5.Which one the following compounds will readily react with dilute $NaOH$ ?
Chemistry · Alcohols Phenols and Ethers · MCQ
Q6.The shape of carbocation is :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q7.When $ψ_{A}$ and $ψ_{B}$ are the wave functions of atomic orbitals, then $σ^{*}$ is represented by :
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q8.The emf of cell $Tl (0.001 M) Tl^{+} (0.01 M) Cu^{2 +} ∣ Cu$ is $298 K$ at $298 K$ . It could be increased by :
Chemistry · Electrochemistry · MCQ
Q9.The reaction; $\frac{1}{2} H_{2 (g)} + AgCl_{(s)} \to H_{(aq)}^{+} + Cl_{(aq)}^{-} + Ag_{(s)}$ occurs in which of the following galvanic cell :
Chemistry · Electrochemistry · MCQ
Q10.The correct sequence of acidic strength of the following aliphatic acids in their decreasing order is: $CH_{3} CH_{2} COOH, CH_{3} COOH, CH_{3} CH_{2} CH_{2} COOH, HCOOH$ …
Chemistry · Basics of Organic Chemistry · MCQ
Q11.For a reaction $A K_{1} B K_{2} C$ If the rate of formation of B is set to be zero then the concentration of B is given by :
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q12.The equilibrium $Cr_{2} O_{7}^{2 -} ⇌ 2 CrO_{4}^{2 -}$ is shifted to the right in :
Chemistry · Ionic Equilibrium · MCQ
Q13.Identify the correct statements about p-block elements and their compounds. (A) Non metals have higher electronegativity than metals. (B) Non metals have lower ionisation enthalpy than metals. (C) Compounds formed between highly reactive…
Chemistry · P Block Elements · MCQ
Q14.Given below are two statements : Statement (I) : Fusion of $MnO_{2}$ with $KOH$ and an oxidising agent gives dark green $K_{2} MnO_{4}$ . Statement (II) : Manganate ion on electrolytic oxidation in alkaline…
Chemistry · Electrochemistry · MCQ
Q15.Given below are two statements : Statement (I) : $S_{N} 2$ reactions are 'stereospecific', indicating that they result in the formation of only one stereo-isomer as the product. Statement (II) : $\mathrm{S}_{\mathrm{N}}…
Chemistry · Hydrocarbons · MCQ
Q16.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Practical Organic Chemistry · MCQ
Q17.IUPAC name of following hydrocarbon(X) is : Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q18.Given below are two statements : Statement (I) : Kjeldahl method is applicable to estimate nitrogen in pyridine. Statement (II) : The nitrogen present in pyridine can easily be converted into ammonium sulphate in Kjeldahl method. In the…
Chemistry · Compounds Containing Nitrogen · MCQ
Q19.Identify the incorrect statements about group 15 elements : (A) Dinitrogen is a diatomic gas which acts like an inert gas at room temperature. (B) The common oxidation states of these elements are $- 3, + 3$ and +5. (C) Nitrogen has unique…
Chemistry · P Block Elements · MCQ
Q20.In qualitative test for identification of presence of phosphorous, the compound is heated with an oxidising agent. Which is further treated with nitric acid and ammonium molybdate respectively. The yellow coloured precipitate obtained is :
Chemistry · P Block Elements · MCQ
Q21. $Δ_{vap} H^{⊖}$ for water is $+ 40.79 kJ mol^{- 1}$ at 1 bar and $10 0^{\circ} C$ . Change in internal energy for this vapourisation under same condition is $kJ mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q22.Total number of aromatic compounds among the following compounds is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q23.Total number of unpaired electrons in the complex ions $[Co (NH_{3})_{6}]^{3 +}$ and $[NiCl_{4}]^{2 -}$ is .
Chemistry · Coordination Compounds · Numerical
Q24.The total number of carbon atoms present in tyrosine, an amino acid, is .
Chemistry · Biomolecules · Numerical
Q25.The number of optically active compounds from the following is . Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q26.Two moles of benzaldehyde and one mole of acetone under alkaline conditions using aqueous $NaOH$ after heating gives $x$ as the major product. The number of $π$ bonds in the product $x$ is .
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q27.A solution is prepared by adding 1 mole ethyl alcohol in 9 mole water. The mass percent of solute in the solution is (Integer answer) (Given : Molar mass in $g mol^{- 1}$ Ethyl alcohol : 46…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q28.Molality of an aqueous solution of urea is $x \times 1 0^{- 3}$ . Mole fraction of urea in solution is $x \times 1 0^{- 3}$ , Value of $x$ is . (Integer answer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q29.Wavenumber for a radiation having 5800 $A o$ wavelength is $x \times 10 cm^{- 1}$ The value of $x$ is . (Integer answer)
Chemistry · Structure of Atom · Numerical
Q30.Number of molecules having bond order 2 from the following molecules is . $C_{2}, O_{2}, Be_{2}, Li_{2}, Ne_{2}, N_{2}, He_{2}$
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q31.Let $y = y (x)$ be the solution curve of the differential equation $sec y \frac{d y}{d x} + 2 x sin y = x^{3} cos y, y (1) = 0$ . Then $y (3)$ is equal to:
Mathematics · Differential Equations · MCQ
Q32.If the shortest distance between the lines $\frac{x - λ}{2} = \frac{y - 4}{3} = \frac{z - 3}{4}$ and $\frac{x - 2}{4} = \frac{y - 4}{6} = \frac{z - 7}{8}$ is $\frac{13}{29}$ , then a value of $λ$ is :
Mathematics · 3D Geometry · MCQ
Q33.There are three bags $Z$ and $Z$ . Bag $X$ contains 5 one-rupee coins and 4 five-rupee coins; Bag $Y$ contains 4 one-rupee coins and 5 five-rupee coins and Bag $Z$ contains 3 one-rupee coins and 6 five-rupee coins. A bag is selected at…
Mathematics · Probability · MCQ
Q34.The area of the region in the first quadrant inside the circle $x^{2} + y^{2} = 8$ and outside the parabola $y^{2} = 2 x$ is equal to :
Mathematics · Area Under the Curves · MCQ
Q35.Let $a = 4 \hat{i} - \hat{j} + \hat{k}, b = 11 \hat{i} - \hat{j} + \hat{k}$ and $c$ be a vector such that $(a + b) \times c = c \times (- 2 a + 3 b)$ …
Mathematics · Vector Algebra · MCQ
Q36.If the line segment joining the points $(5, 2)$ and $(2, a)$ subtends an angle $\frac{π}{4}$ at the origin, then the absolute value of the product of all possible values of $a$ is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q37.If $α e q a, β e q b, γ e q c$ and $α a a b β b c c γ = 0$ …
Mathematics · Matrices and Determinants · MCQ
Q38.Let $α \int l o g_{e} 4 \frac{d x}{e ^{x} - 1} = \frac{π}{6}$ . Then $e^{α}$ and $e^{- α}$ are the roots of the equation :
Mathematics · Definite Integration · MCQ
Q39.If the system of equations $x + 4 y - z = λ, 7 x + 9 y + μ z = - 3, 5 x + y + 2 z = - 1$ has infinitely many solutions, then $(2 μ + 3 λ)$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q40.Let $f (x) = {- a x + a if if - a \leq x \leq 0 0 < x \leq a$ where $a > 0$ and $g (x) = (f (∣ x ∣) - ∣ f (x) ∣) /2$ …
Mathematics · Functions · MCQ
Q41.In an increasing geometric progression of positive terms, the sum of the second and sixth terms is $\frac{70}{3}$ and the product of the third and fifth terms is 49. Then the sum of the $4^{th}, 6^{th}$ and $8^{th}$ …
Mathematics · Sequences and Series · MCQ
Q42.For $a, b > 0$ , let $f (x) = {\frac{t a n (( a + 1 ) x ) + b t a n x}{x}, x 0$ be a continuous function at $x = 0$ . Then $\frac{b}{a}$ is equal to :
Mathematics · Limits Continuity and Differentiability · MCQ
Q43.Let $A = {2, 3, 6, 8, 9, 11}$ and $B = {1, 4, 5, 10, 15}$ . Let $R$ be a relation on $A \times B$ defined by $(a, b) R (c, d)$ if and only if $3 a d - 7 b c$ is an even integer. Then the relation $R$ is
Mathematics · Sets and Relations · MCQ
Q44.Let $a = \hat{i} + 2 \hat{j} + 3 \hat{k}, b = 2 \hat{i} + 3 \hat{j} - 5 \hat{k}$ and $c = 3 \hat{i} - \hat{j} + λ \hat{k}$ be three vectors. Let $r$ …
Mathematics · Vector Algebra · MCQ
Q45.The sum of all possible values of $θ \in [- π, 2 π]$ , for which $\frac{1 + i c o s θ}{1 - 2 i c o s θ}$ is purely imaginary, is equal to :
Mathematics · Complex Numbers · MCQ
Q46.The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not necessarily distinct, is equal to:
Mathematics · Permutations and Combinations · MCQ
Q47.If the function $f (x) = 2 x^{3} - 9 ax^{2} + 12 a^{2} x + 1, a > 0$ has a local maximum at $x = α$ and a local minimum at $x = α^{2}$ , then $α$ and $α^{2}$ are the roots of the equation :
Mathematics · Application of Derivatives · MCQ
Q48.If the value of $\frac{3 c o s 3 6 ^{\circ} + 5 s i n 1 8 ^{\circ}}{5 c o s 3 6 ^{\circ} - 3 s i n 1 8 ^{\circ}}$ is $\frac{a 5 - b}{c}$ , where $a, b, c$ are natural numbers and $gcd (a, c) = 1$ , then $a + b + c$ is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q49.If the image of the point $(- 4, 5)$ in the line $x + 2 y = 2$ lies on the circle $(x + 4)^{2} + (y - 3)^{2} = r^{2}$ , then $r$ is equal to:
Mathematics · Circle · MCQ
Q50.If the term independent of $x$ in the expansion of $(a x^{2} + \frac{1}{2 x ^{3}})^{10}$ is 105 , then $a^{2}$ is equal to :
Mathematics · Binomial Theorem · MCQ
Q51.Let $a, b, c \in N$ and $a < b < c$ . Let the mean, the mean deviation about the mean and the variance of the 5 observations $9, 25, a, b, c$ be 18, 4 and $\frac{136}{5}$ ,…
Mathematics · Statistics · Numerical
Q52.The number of distinct real roots of the equation $∣ x + 1∣∣ x + 3∣ - 4∣ x + 2∣ + 5 = 0$ , is
Mathematics · Quadratic Equation and Inequalities · Numerical
Q53.If $\int \frac{1}{5 ( x - 1 ) ^{4} ( x + 3 ) ^{6}} d x = A (\frac{α x - 1}{β x + 3})^{B} + C$ , where $C$ is the constant of integration, then the value of $α + β + 20 AB$ is …
Mathematics · Indefinite Integrals · Numerical
Q54.Let $S$ be the focus of the hyperbola $\frac{x ^{2}}{3} - \frac{y ^{2}}{5} = 1$ , on the positive $x$ -axis. Let $C$ be the circle with its centre at $A (6, 5)$ and passing through the point $S$ . If $O$ …
Mathematics · Hyperbola · Numerical
Q55.Let $P (α, β, γ)$ be the image of the point $Q (1, 6, 4)$ in the line $\frac{x}{1} = \frac{y - 1}{2} = \frac{z - 2}{3}$ . Then $2 α + β + γ$ is equal to
Mathematics · 3D Geometry · Numerical
Q56.Let $A$ be the region enclosed by the parabola $y^{2} = 2 x$ and the line $x = 24$ . Then the maximum area of the rectangle inscribed in the region $A$ is .
Mathematics · Application of Derivatives · Numerical
Q57.Let $α ∣ x ∣ = ∣ y ∣ e^{x y - β}, α, β \in N$ be the solution of the differential equation $x d y - y d x + x y (x d y + y d x) = 0, y (1) = 2$ . Then $α + β$ is equal to …
Mathematics · Differential Equations · Numerical
Q58.If $α = lim_{x \to 0^{+}} (\frac{e ^{t a n x} - e ^{x}}{t a n x - x})$ and $β = lim_{x \to 0} (1 + sin x)^{\frac{1}{2} c o t x}$ are the roots of the quadratic…
Mathematics · Limits Continuity and Differentiability · Numerical
Q59.An arithmetic progression is written in the following way The sum of all the terms of the 10th row is . Includes diagram
Mathematics · Sequences and Series · Numerical
Q60.Let a ray of light passing through the point $(3, 10)$ reflects on the line $2 x + y = 6$ and the reflected ray passes through the point $(7, 2)$ . If the equation of the incident ray is $a x + b y + 1 = 0$ , then $a^{2} + b^{2} + 3 ab$ is equal to …
Mathematics · Straight Lines and Pair of Straight Lines · Numerical
Q61.A long straight wire of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnetic field at $\frac{a}{2}$ and $2 a$ from axis of the wire is :
Physics · Magnetics · MCQ
Q62.A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is : Includes diagram
Physics · Work Power and Energy · MCQ
Q63.The position of the image formed by the combination of lenses is : Includes diagram
Physics · Geometrical Optics · MCQ
Q64.If $ϵ_{o}$ is the permittivity of free space and $E$ is the electric field, then $ϵ_{o} E^{2}$ has the dimensions :
Physics · Units and Measurements · MCQ
Q65.Two satellite A and B go round a planet in circular orbits having radii 4R and R respectively. If the speed of $A$ is $3 v$ , the speed of $B$ will be :
Physics · Gravitation · MCQ
Q66.Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be to times of its initial length if the…
Physics · Current Electricity · MCQ
Q67.A diatomic gas $(γ = 1.4)$ does $100 J$ of work in an isobaric expansion. The heat given to the gas is :
Physics · Heat and Thermodynamics · MCQ
Q68.If $M_{0}$ is the mass of isotope $_{5}^{12} B, M_{p}$ and $M_{n}$ are the masses of proton and neutron, then nuclear binding energy of isotope is:
Physics · Atoms and Nuclei · MCQ
Q69.A given object takes $n$ times the time to slide down $4 5^{\circ}$ rough inclined plane as it takes the time to slide down an identical perfectly smooth $4 5^{\circ}$ inclined plane. The coefficient of kinetic friction between the…
Physics · Laws of Motion · MCQ
Q70.There are 100 divisions on the circular scale of a screw gauge of pitch $1 mm$ . With no measuring quantity in between the jaws, the zero of the circular scale lies 5 divisions below the reference line. The diameter of a wire is…
Physics · Units and Measurements · MCQ
Q71.A capacitor has air as dielectric medium and two conducting plates of area $12 cm^{2}$ and they are $12 cm^{2}$ apart. When a slab of dielectric having area $12 cm^{2}$ and $0.6 cm$ thickness is inserted…
Physics · Capacitor · MCQ
Q72.Least count of a vernier caliper is $\frac{1}{20 N} cm$ . The value of one division on the main scale is $N$ . Then the number of divisions of main scale that coincide with $N$ divisions of vernier…
Physics · Units and Measurements · MCQ
Q73.A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil = 0.8, specific gravity of ice = 0.9): Includes diagram
Physics · Properties of Matter · MCQ
Q74.Given below are two statements : Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter. Statement (II) : Average kinetic energy of gas molecules is directly proportional to absolute…
Physics · Heat and Thermodynamics · MCQ
Q75.The angle of projection for a projectile to have same horizontal range and maximum height is :
Physics · Motion in A Plane · MCQ
Q76.A proton and an electron have the same de Broglie wavelength. If $K_{p}$ and $K_{e}$ be the kinetic energies of proton and electron respectively, then choose the correct relation :
Physics · Dual Nature of Radiation · MCQ
Q77.In a hypothetical fission reaction $_{92} X^{236} \to_{56} Y^{141} +_{36} Z^{92} + 3 R$ The identity of emitted particles (R) is :
Physics · Atoms and Nuclei · MCQ
Q78.A thin circular disc of mass $M$ and radius $R$ is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with angular velocity $ω$ . If another disc of same dimensions…
Physics · Rotational Motion · MCQ
Q79.A coil of negligible resistance is connected in series with $90Ω$ resistor across $120 V, 60 Hz$ supply. A voltmeter reads $36 V$ across resistance. Inductance of the coil is :
Physics · Alternating Current · MCQ
Q80.A plane progressive wave is given by $y = 2 cos 2 π (330 t - x) m$ . The frequency of the wave is :
Physics · Waves · MCQ
Q81.An alternating emf $E = 1102 sin 100 t$ volt is applied to a capacitor of $2 μ F$ , the rms value of current in the circuit is $mA$ .
Physics · Alternating Current · Numerical
Q82.If the net electric field at point $P$ along $Y$ axis is zero, then the ratio of $\frac{q _{2}}{q _{3}}$ is $\frac{8}{5 x}$ , where $x =$ . Includes diagram
Physics · Electrostatics · Numerical
Q83.Two slits are $1 m$ apart and the screen is located $500 nm$ away from the slits. A light of wavelength $500 nm$ is used. The width of each slit to obtain 10 maxima of the double slit pattern within the central…
Physics · Wave Optics · Numerical
Q84.A potential divider circuit is connected with a dc source of $1.8 V$ , a light emitting diode of glow in voltage $3.2 V$ and a zener diode of breakdown voltage of $3.2 V$ . The length (PR) of the resistive wire… Includes diagram
Physics · Electronic Devices · Numerical
Q85.An object of mass $x$ executes simple harmonic motion along $x$ axis with frequency of $(\frac{25}{π}) Hz$ . At the position $x = 0.04 m$ the object has kinetic energy $0.5 J$ and…
Physics · Simple Harmonic Motion · Numerical
Q86.A circular table is rotating with an angular velocity of $ω rad / s$ about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of $1 m$ … Includes diagram
Physics · Rotational Motion · Numerical
Q87.A heater is designed to operate with a power of $100 V$ in a $10Ω$ line. It is connected in combination with a resistance of $10Ω$ and a resistance $R$ , to a $100 V$ mains as shown in figure. For the… Includes diagram
Physics · Current Electricity · Numerical
Q88.Small water droplets of radius $10 cm / s$ are formed in the upper atmosphere and falling with a terminal velocity of $10 cm / s$ . Due to condensation, if 8 such droplets are coalesced and formed a larger drop,…
Physics · Properties of Matter · Numerical
Q89.The coercivity of a magnet is $5 \times 1 0^{3} A / m$ . The amount of current required to be passed in a solenoid of length $30 cm$ and the number of turns 150, so that the magnet gets demagnetised when inside the…
Physics · Magnetic Properties of Matter · Numerical
Q90.A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a distance of $2 M$ from the foot of the tower. A body of mass $\frac{v}{2}$ thrown at a velocity $\frac{v}{2}$ …
Physics · Motion in A Plane · Numerical