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2023 · 12 Apr · Shift 1

68 questions · JEE Main

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2023 · 12 Apr · Shift 1

2023 · 12 Apr · Shift 1

68 questions · JEE Main

Chemistry22 questions Mathematics21 questions Physics25 questions

P Block ElementsChemistry · 2 questions Coordination CompoundsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 6 questions Chemical Bonding and Molecular StructureChemistry · 1 questions D and F Block ElementsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions Alcohols Phenols and EthersChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions ElectrochemistryChemistry · 1 questions BiomoleculesChemistry · 1 questions SolutionsChemistry · 1 questions Structure of AtomChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ThermodynamicsChemistry · 1 questions ProbabilityMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Differential EquationsMathematics · 1 questions 3D GeometryMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions Complex NumbersMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions EllipseMathematics · 1 questions Application of DerivativesMathematics · 1 questions Area Under the CurvesMathematics · 1 questions FunctionsMathematics · 1 questions CircleMathematics · 1 questions Definite IntegrationMathematics · 1 questions Sets and RelationsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions StatisticsMathematics · 1 questions Indefinite IntegralsMathematics · 1 questions Simple Harmonic MotionPhysics · 1 questions Work Power and EnergyPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 2 questions Laws of MotionPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions ElectrostaticsPhysics · 2 questions Magnetic Properties of MatterPhysics · 1 questions Current ElectricityPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Heat and ThermodynamicsPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Alternating CurrentPhysics · 1 questions Rotational MotionPhysics · 1 questions Properties of MatterPhysics · 1 questions WavesPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions

Q1.Given below are two statements : Statement I : Boron is extremely hard indicating its high lattice energy. Statement II : Boron has highest melting and boiling point compared to its other group members. In the light of the above…
Chemistry · P Block Elements · MCQ
Q2.Match List I with List II Choose the correct answer from the options given below: Includes table
Chemistry · Coordination Compounds · MCQ
Q3.The two products formed in above reaction are - Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4.The bond order and magnetic property of acetylide ion are same as that of
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q5.'A' in the above reaction is: Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q6.Given below are two statement: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A: $5 f$ electrons can participate in bonding to a far greater extent than $4 f$ …
Chemistry · D and F Block Elements · MCQ
Q7.A metal chloride contains $55.0%$ of chlorine by weight . $0.57 g$ vapours of the metal chloride at STP weigh $35.5 u$ . The molecular formula of the metal chloride is (Given: Atomic mass of chlorine is $35.5 u$ …
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q8.Correct statements for the given reaction are : A. Compound ' $B$ ' is aromatic B. The completion of above reaction is very slow C. 'A' shows tautomerism D. The bond lengths of $C - C$ in compound $B$ are found to be same Choose the… Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q9.The incorrect statement regarding the reaction given below is Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q10.For lead storage battery pick the correct statements A. During charging of battery, $PbSO_{4}$ on anode is converted into $PbO_{2}$ B. During charging of battery, $PbSO_{4}$ on cathode is converted into $PbO_{2}$ …
Chemistry · Electrochemistry · MCQ
Q11.Given below are two statements : Statement I : $SbCl_{5}$ is more covalent than $SbCl_{3}$ Statement II: The higher oxides of halogens also tend to be more stable than the lower ones. In the light of the above statements,…
Chemistry · P Block Elements · MCQ
Q12.In the following reaction 'A' is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q13.The major product 'P' formed in the following sequence of reactions is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q14.In an oligopeptide named Alanylglycylphenyl alanyl isoleucine, the number of $sp^{2}$ hybridised carbons is .
Chemistry · Biomolecules · Numerical
Q15.80 mole percent of $MgCl_{2}$ is dissociated in aqueous solution. The vapour pressure of $MgCl_{2}$ aqueous solution of $MgCl_{2}$ at $3 8^{\circ} C$ is $mm Hg. (Nearest integer)$ …
Chemistry · Solutions · Numerical
Q16.Values of work function (W $_{0}$ ) for a few metals are given below The number of metals which will show photoelectric effect when light of wavelength falls on it is Given: $h = 6.6 \times 1 0^{- 34} J s$ … Includes table
Chemistry · Structure of Atom · Numerical
Q17.Three organic compounds A, B and $C$ were allowed to run in thin layer chromatography using hexane and gave the following result (see figure). The $R_{f}$ value of the most polar compound is … Includes diagram
Chemistry · Basics of Organic Chemistry · Numerical
Q18.The value of $x$ in compound 'D' is . Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q19.The mass of NH $_{3}$ produced when 131.8 kg of cyclohexanecarbaldehyde undergoes Tollen's test is kg. (Nearest Integer) Molar Mass of C = 12g/mol N = 14g/mol O = 16g/mol
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q20.The reaction $2 NO + Br_{2} \to 2 NOBr$ takes places through the mechanism given below: $NO + Br_{2} \Leftrightarrow NOBr_{2}$ (fast) $NOBr_{2} + NO \to 2 NOBr$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q21.An analyst wants to convert $1 L HCl$ of $pH = 1$ to a solution of $HCl$ of $mL$ . The volume of water needed to do this dilution is $mL$ . (Nearest integer)
Chemistry · Ionic Equilibrium · Numerical
Q22.One mole of an ideal gas at $2.0 L$ is in a $3.0 L$ vessel of thermally conducting walls, which are in contact with the surroundings. It undergoes isothermal reversible expansion from 2.0 L to $3.0 L$ against…
Chemistry · Thermodynamics · Numerical
Q23.Two dice A and B are rolled. Let the numbers obtained on A and B be $α$ and $β$ respectively. If the variance of $α - β$ is $\frac{p}{q}$ , where $p$ and $q$ are co-prime, then the sum of the positive divisors of $p$ is…
Mathematics · Probability · MCQ
Q24.Let $A = [10 \frac{1}{51} 1]$ . If $B = [1 - 1 2 - 1] A [- 1 1 - 2 1]$ ,…
Mathematics · Matrices and Determinants · MCQ
Q25.Let $y = y (x), y > 0$ , be a solution curve of the differential equation $(1 + x^{2}) d y = y (x - y) d x$ . If $y (0) = 1$ and $y (22) = β$ , then
Mathematics · Differential Equations · MCQ
Q26.Let the lines $l_{1} : \frac{x + 5}{3} = \frac{y + 4}{1} = \frac{z - α}{- 2}$ and $l_{2} : 3 x + 2 y + z - 2 = 0 = x - 3 y + 2 z - 13$ be coplanar. If the point $P (a, b, c)$ on $l_{1}$ is nearest to the point $Q (- 4, - 3, 2)$ , then $∣ a ∣ + ∣ b ∣ + ∣ c ∣$ …
Mathematics · 3D Geometry · MCQ
Q27.The number of five digit numbers, greater than 40000 and divisible by 5 , which can be formed using the digits $0, 1, 3, 5, 7$ and 9 without repetition, is equal to :
Mathematics · Permutations and Combinations · MCQ
Q28.Let $C$ be the circle in the complex plane with centre $z_{0} = \frac{1}{2} (1 + 3 i)$ and radius $r = 1$ . Let $z_{1} = 1 + i$ and the complex number $z_{2}$ be outside the circle $C$ such that $∣ z_{1} - z_{0} ∣ ∣ z_{2} - z_{0} ∣ = 1$ …
Mathematics · Complex Numbers · MCQ
Q29.If the point $(α, \frac{7 3}{3})$ lies on the curve traced by the mid-points of the line segments of the lines $x cos θ + y sin θ = 7, θ \in (0, \frac{π}{2})$ between the co-ordinates…
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q30.Let $x^{2} + 6 x + 3 = 0$ be the roots of the quadratic equation $x^{2} + 6 x + 3 = 0$ . Then $\frac{α ^{23} + β ^{23} + α ^{14} + β ^{14}}{α ^{15} + β ^{15} + α ^{10} + β ^{10}}$ is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q31.Let $P (\frac{2 3}{7}, \frac{6}{7}), Q, R$ and $S$ be four points on the ellipse $9 x^{2} + 4 y^{2} = 36$ . Let $PQ$ and $RS$ be mutually perpendicular and…
Mathematics · Ellipse · MCQ
Q32.If the local maximum value of the function $f (x) = (\frac{3 e}{2 s i n x})^{s i n^{2} x}, x \in (0, \frac{π}{2})$ , is $\frac{k}{e}$ , then $(\frac{k}{e})^{8} + \frac{k ^{8}}{e ^{5}} + k^{8}$ is equal to
Mathematics · Application of Derivatives · MCQ
Q33.The area of the region enclosed by the curve $y = x^{3}$ and its tangent at the point $(- 1, - 1)$ is :
Mathematics · Area Under the Curves · MCQ
Q34.Let $D$ be the domain of the function $f (x) = sin^{- 1} (lo g_{3 x} (\frac{6 + 2 l o g _{3} x}{- 5 x}))$ . If the range of the function $g : D \to R$ defined by $g (x) = x - [x], ([x]$ …
Mathematics · Functions · MCQ
Q35.Let $D_{k} = 1 n n 2 k n^{2} + n + 2 n^{2} + n 2 k - 1 n^{2} n^{2} + n + 2$ . If $\sum_{k = 1}^{n} D_{k} = 96$ , then $n$ is equal to …
Mathematics · Matrices and Determinants · Numerical
Q36.Let the digits a, b, c be in A. P. Nine-digit numbers are to be formed using each of these three digits thrice such that three consecutive digits are in A.P. at least once. How many such numbers can be formed?
Mathematics · Permutations and Combinations · Numerical
Q37.Two circles in the first quadrant of radii $r_{1}$ and $r_{2}$ touch the coordinate axes. Each of them cuts off an intercept of 2 units with the line $x + y = 2$ . Then $r_{1}^{2} + r_{2}^{2} - r_{1} r_{2}$ is equal to .
Mathematics · Circle · Numerical
Q38.A fair $n (n > 1)$ faces die is rolled repeatedly until a number less than $n$ appears. If the mean of the number of tosses required is $\frac{n}{9}$ , then $n$ is equal to .
Mathematics · Probability · Numerical
Q39.If $\int_{- 0.15}^{0.15} 100 x^{2} - 1 d x = \frac{k}{3000}$ , then $k$ is equal to .
Mathematics · Definite Integration · Numerical
Q40.The number of relations, on the set ${1, 2, 3}$ containing $(1, 2)$ and $(2, 3)$ , which are reflexive and transitive but not symmetric, is .
Mathematics · Sets and Relations · Numerical
Q41.Let $[x]$ be the greatest integer $(- 2, 1)$ . Then the number of points in the interval $(- 2, 1)$ , where the function $f (x) = ∣ [x] ∣ + x - [x]$ is discontinuous, is .
Mathematics · Limits Continuity and Differentiability · Numerical
Q42.Let the positive numbers $a_{1}, a_{2}, a_{3}, a_{4}$ and $a_{5}$ be in a G.P. Let their mean and variance be $\frac{31}{10}$ and $\frac{m}{n}$ respectively, where $m$ and $n$ are co-prime. If the mean of their reciprocals is $\frac{31}{40}$ …
Mathematics · Statistics · Numerical
Q43.Let $I (x) = \int \frac{x + 7}{x} d x$ and $I (9) = 12 + 7 lo g_{e} 7$ . If $I (1) = α + 7 lo g_{e} (1 + 22)$ , then $α^{4}$ is equal to .
Mathematics · Indefinite Integrals · Numerical
Q44.A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be
Physics · Simple Harmonic Motion · MCQ
Q45.Given below are two statements: Statement I : A truck and a car moving with same kinetic energy are brought to rest by applying breaks which provide equal retarding forces. Both come to rest in equal distance. Statement II : A car moving…
Physics · Work Power and Energy · MCQ
Q46.Match List I with List II Choose the correct answer from the options given below: Includes table
Physics · Units and Measurements · MCQ
Q47.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : EM waves used for optical communication have longer wavelengths than that of microwave, employed in…
Physics · Electromagnetic Waves · MCQ
Q48.The ratio of escape velocity of a planet to the escape velocity of earth will be:- Given: Mass of the planet is 16 times mass of earth and radius of the planet is 4 times the radius of earth.
Physics · Gravitation · MCQ
Q49.Two satellites $A$ and $B$ move round the earth in the same orbit. The mass of $A$ is twice the mass of $B$ . The quantity which is same for the two satellites will be
Physics · Gravitation · MCQ
Q50.Three forces $F_{1} = 10 N, F_{2} = 8 N, F_{3} = 6 N$ are acting on a particle of mass $F_{2}$ . The forces $F_{2}$ and $F_{3}$ are applied perpendicularly so that particle…
Physics · Laws of Motion · MCQ
Q51.An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is $4 cm$ . When viewed from the opposite side, the apparent distance of the bubble is observed as $4 cm$ . If the side of…
Physics · Geometrical Optics · MCQ
Q52.A proton and an $α$ -particle are accelerated from rest by $4 V$ and $4 V$ potentials, respectively. The ratio of their de-Broglie wavelength is :
Physics · Dual Nature of Radiation · MCQ
Q53.Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : If an electric dipole of dipole moment $30 \times 1 0^{- 5} C m$ is enclosed by a closed surface, the net…
Physics · Electrostatics · MCQ
Q54.Given below are two statements: Statement I : The diamagnetic property depends on temperature. Statement II : The induced magnetic dipole moment in a diamagnetic sample is always opposite to the magnetizing field. In the light of given…
Physics · Magnetic Properties of Matter · MCQ
Q55.A wire of resistance $160 Ω$ is melted and drawn in a wire of one-fourth of its length. The new resistance of the wire will be
Physics · Current Electricity · MCQ
Q56.A ball is thrown vertically upward with an initial velocity of $150 m / s$ . The ratio of velocity after $5 s$ and $\frac{x + 1}{x}$ is $\frac{x + 1}{x}$ . The value of $x$ is . ${$ …
Physics · Motion in A Straight Line · MCQ
Q57.If the r. m.s speed of chlorine molecule is $490 m / s$ at $2 7^{\circ} C$ , the r. m. s speed of argon molecules at the same temperature will be (Atomic mass of argon $= 39.9 u$ , molecular mass of…
Physics · Heat and Thermodynamics · MCQ
Q58.A $12.5 eV$ electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:
Physics · Atoms and Nuclei · MCQ
Q59.Given below are two statements: Statement I : When the frequency of an a.c source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decreases. Statement II : In a series LCR…
Physics · Alternating Current · MCQ
Q60.To maintain a speed of 80 km/h by a bus of mass 500 kg on a plane rough road for 4 km distance, the work done by the engine of the bus will be KJ. [The coefficient of friction between tyre of bus and road is…
Physics · Work Power and Energy · Numerical
Q61.64 identical drops each charged upto potential of are combined to form a bigger drop. The potential of the bigger drop will be $mV$ .
Physics · Electrostatics · Numerical
Q62.For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is $\frac{x}{5}$ . The value of $x$ is .
Physics · Rotational Motion · Numerical
Q63.The current flowing through a conductor connected across a source is $A$ and 1.2 $A$ at $0^{\circ} C$ and $10 0^{\circ} C$ respectively. The current flowing through the conductor at $5 0^{\circ} C$ …
Physics · Current Electricity · Numerical
Q64.Glycerin of density $1.25 \times 1 0^{3} kg m^{- 3}$ is flowing through the conical section of pipe The area of cross-section of the pipe at its ends are $10 cm^{2}$ and $5 cm^{2}$ and pressure drop…
Physics · Properties of Matter · Numerical
Q65.Two convex lenses of focal length $60 cm$ each are placed coaxially with a separation of between them. The image of the distant object formed by the combination is at $cm$ from…
Physics · Geometrical Optics · Numerical
Q66.For a certain organ pipe, the first three resonance frequencies are in the ratio of $1 : 3 : 5$ respectively. If the frequency of fifth harmonic is $324 ms^{- 1}$ and the speed of sound in air is $324 ms^{- 1}$ the length of the…
Physics · Waves · Numerical
Q67.A common example of alpha decay is $_{92}^{238} U ⟶_{90}^{234} Th +_{2} He^{4} + Q$ Given : $_{92}^{238} U = 238.05060 u$ , $_{90}^{234} Th = 234.04360 u$ …
Physics · Atoms and Nuclei · Numerical
Q68.A conducting circular loop is placed in a uniform magnetic field of $1 mm / s$ with its plane perpendicular to the field. Somehow, the radius of the loop starts expanding at a constant rate of $1 mm / s$ . The…
Physics · Electromagnetic Induction · Numerical