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2023 · 31 Jan · Shift 1

74 questions · JEE Main

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2023 · 31 Jan · Shift 1

2023 · 31 Jan · Shift 1

74 questions · JEE Main

Chemistry24 questions Mathematics23 questions Physics27 questions

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

Q1.When $Cu^{2 +}$ ion is treated with $KI$ , a white precipitate, $X$ appears in solution. The solution is titrated with sodium thiosulphate, the compound $Y$ is formed. $X$ and $Y$ …
Chemistry · D and F Block Elements · MCQ
Q2.Match items of column I and II Correct match is Includes table Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q3.Consider the following reaction The correct statement for product B is. It is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q4. $N d^{2 +}$ =
Chemistry · D and F Block Elements · MCQ
Q5.The correct order of basicity of oxides of vanadium is :
Chemistry · D and F Block Elements · MCQ
Q6.The correct increasing order of the ionic radii is
Chemistry · Periodic Table and Periodicity · MCQ
Q7.The correct order of melting points of dichlorobenzenes is
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Consider the above reaction and identify the product B. Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q9.A protein ' $X$ ' with molecular weight of $70, 000 u$ , on hydrolysis gives amino acids. One of these amino acid is
Chemistry · Biomolecules · MCQ
Q10.Choose the correct set of reagents for the following conversion. trans $(Ph - CH = CH - CH_{3}) \to cis (Ph - CH = CH - CH_{3})$
Chemistry · Hydrocarbons · MCQ
Q11.Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from $n = 4$ to $n = 2$ of $He^{+}$ spectrum
Chemistry · Structure of Atom · MCQ
Q12.Which one of the following statements is correct for electrolysis of brine solution?
Chemistry · Electrochemistry · MCQ
Q13.Cobalt chloride when dissolved in water forms pink colored complex $\underline{X}$ which has octahedral geometry. This solution on treating with conc $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ …
Chemistry · Coordination Compounds · MCQ
Q14.An organic compound 'A' with emperical formula $C_{6} H_{6} O$ gives sooty flame on burning. Its reaction with bromine solution in low polarity solvent results in high yield of B. B is
Chemistry · Alcohols Phenols and Ethers · MCQ
Q15.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q16.Zinc reacts with hydrochloric acid to give hydrogen and zinc chloride. The volume of hydrogen gas produced at STP from the reaction of $HCl$ of zinc with excess $HCl$ is L (Nearest integer)…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q17.The logarithm of equilibrium constant for the reaction $Pd^{2 +} + 4 Cl^{-} ⇌ PdCl_{4}^{2 -}$ is (Nearest integer) Given : $\frac{2.303 R T}{F} = 0.06 V Pd_{(aq)}^{2 +} + 2 e^{-} ⇌ Pd (s) E^{⊖} = 0.83 V PdCl_{4}^{2 -} (aq) + 2 e^{-} ⇌ Pd (s) + 4 Cl^{-} (aq) E^{⊖} = 0.65 V$ …
Chemistry · Electrochemistry · Numerical
Q18.The enthalpy change for the conversion of $\frac{1}{2} Cl_{2} (g)$ to $Cl^{-}$ (aq) is ( $-$ ) $kJ mol^{- 1}$ (Nearest integer) Given : $Δ_{dis} H_{Cl_{2 (g)}^{θ}}^{⊖} = 240 kJ mol^{- 1}, Δ_{eg} H_{C l_{(g)}}^{⊖} = - 350 kJ mol^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q19.On complete combustion, $0.792 g$ of an organic compound gave $CO_{2}$ of $CO_{2}$ . The % of carbon in the organic compound is (Nearest integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q20.At $2 7^{\circ} C$ , a solution containing $250.0 mL$ of solute in $400 Pa$ of solution exerts an osmotic pressure of $g mol^{- 1}$ . The molar mass of the solute is $g mol^{- 1}$ …
Chemistry · Solutions · Numerical
Q21.The oxidation state of phosphorus in hypophosphoric acid is + .
Chemistry · Redox Reactions · Numerical
Q22.How many of the transformations given below would result in aromatic amines? Includes diagram
Chemistry · Compounds Containing Nitrogen · Numerical
Q23.A $\to$ B The rate constants of the above reaction at 200 K and 300 K are 0.03 min $^{- 1}$ and 0.05 min $^{- 1}$ respectively. The activation energy for the reaction is J (Nearest integer) (Given : $ln10 = 2.3 R = 8.3 J K^{- 1} mo l^{- 1} lo g 5 = 0.70 lo g 3 = 0.48 lo g 2 = 0.30$ …
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q24.For reaction : $SO_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ SO_{3} (g)$ $K_{p} = 2 \times 1 0^{12}$ at $2 7^{\circ} C$ and $1 atm$ pressure.…
Chemistry · Chemical Equilibrium · Numerical
Q25.The number of real roots of the equation $x^{2} - 4 x + 3 + x^{2} - 9 = 4 x^{2} - 14 x + 6$ , is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q26.A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at least 5 black balls is :
Mathematics · Probability · MCQ
Q27.If $sin^{- 1} \frac{α}{17} + cos^{- 1} \frac{4}{5} - tan^{- 1} \frac{77}{36} = 0, 0 < α < 13$ , then $sin^{- 1} (sin α) + cos^{- 1} (cos α)$ is equal to :
Mathematics · Inverse Trigonometric Functions · MCQ
Q28.If the sum and product of four positive consecutive terms of a G.P., are 126 and 1296 , respectively, then the sum of common ratios of all such GPs is
Mathematics · Sequences and Series · MCQ
Q29.For the system of linear equations $x + y + z = 6 α x + β y + 7 z = 3 x + 2 y + 3 z = 14$ which of the following is NOT true ?
Mathematics · Matrices and Determinants · MCQ
Q30.Let $R$ be a relation on $N \times N$ defined by $(a, b) R (c, d)$ if and only if $a d (b - c) = b c (a - d)$ . Then $R$ is
Mathematics · Sets and Relations · MCQ
Q31.If the domain of the function $f (x) = \frac{[ x ]}{1 + x ^{2}}$ , where $[x]$ is greatest integer $[2, 6)$ , is $[2, 6)$ , then its range is
Mathematics · Functions · MCQ
Q32.A wire of length $l_{1}$ is to be cut into two pieces. A piece of length $l_{1}$ is bent to make a square of area $A_{1}$ and the other piece of length $l_{2}$ is made into a circle of area $A_{2}$ . If $2 A_{1} + 3 A_{2}$ is minimum…
Mathematics · Application of Derivatives · MCQ
Q33.Let $α \in (0, 1)$ and $β = lo g_{e} (1 - α)$ . Let $P_{n} (x) = x + \frac{x ^{2}}{2} + \frac{x ^{3}}{3} + ... + \frac{x ^{n}}{n}, x \in (0, 1)$ . Then the integral $0 \int α \frac{t ^{50}}{1 - t} d t$ …
Mathematics · Definite Integration · MCQ
Q34.Let the shortest distance between the lines $L : \frac{x - 5}{- 2} = \frac{y - λ}{0} = \frac{z + λ}{1}, λ \geq 0$ and $L_{1} : x + 1 = y - 1 = 4 - z$ be $26$ . If $(α, β, γ)$ lies on $L$ , then which of the following is…
Mathematics · 3D Geometry · MCQ
Q35.Let $a = 2 \hat{i} + \hat{j} + \hat{k}$ , and $b$ and $c$ be two nonzero vectors such that $∣ a + b + c ∣ = ∣ a + b - c ∣$ and $b \cdot c = 0$ . Consider the following two statements: (A) $∣ a + λ c ∣ \geq ∣ a ∣$ …
Mathematics · Vector Algebra · MCQ
Q36.Let $A = 1000412 0 - 1 - 3$ . Then the sum of the diagonal elements of the matrix $(A + I)^{11}$ is equal to :
Mathematics · Matrices and Determinants · MCQ
Q37.For all $z \in C$ on the curve $C_{1} : ∣ z ∣ = 4$ , let the locus of the point $z + \frac{1}{z}$ be the curve $C_{2}$ . Then :
Mathematics · Complex Numbers · MCQ
Q38.The value of $\int_{\frac{π}{3}}^{\frac{π}{2}} \frac{( 2 + 3 s i n x )}{s i n x ( 1 + c o s x )} d x$ is equal to :
Mathematics · Definite Integration · MCQ
Q39.Let $y = f (x) = sin^{3} (\frac{π}{3} (cos (\frac{π}{3 2} (- 4 x^{3} + 5 x^{2} + 1)^{\frac{3}{2}})))$ . Then, at x = 1,
Mathematics · Differentiation · MCQ
Q40.The remainder on dividing $5^{99}$ by 11 is .
Mathematics · Binomial Theorem · Numerical
Q41.Let 5 digit numbers be constructed using the digits $0, 2, 3, 4, 7, 9$ with repetition allowed, and are arranged in ascending order with serial numbers. Then the serial number of the number 42923 is .
Mathematics · Permutations and Combinations · Numerical
Q42.Let $α > 0$ , be the smallest number such that the expansion of $(x^{\frac{2}{3}} + \frac{2}{x ^{3}})^{30}$ has a term $β x^{- α}, β \in N$ . Then $α$ is equal to .
Mathematics · Binomial Theorem · Numerical
Q43.Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11 , is equal to .
Mathematics · Permutations and Combinations · Numerical
Q44.Let $a_{1}, a_{2}, \dots, a_{n}$ be in A.P. If $a_{5} = 2 a_{7}$ and $a_{11} = 18$ , then $12 (\frac{1}{a _{10} + a _{11}} + \frac{1}{a _{11} + a _{12}} + \dots + \frac{1}{a _{17} + a _{18}})$ is equal to …
Mathematics · Sequences and Series · Numerical
Q45.Let $a$ and $b$ be two vectors such that $∣ a ∣ = 14, ∣ b ∣ = 6$ and $∣ a \times b ∣ = 48$ . Then $(a \cdot b)^{2}$ is equal to .
Mathematics · Vector Algebra · Numerical
Q46.Let for $x \in R$ , $f (x) = \frac{x + ∣ x ∣}{2}$ and $g (x) = {x, x^{2}, x < 0 x \geq 0$ . Then area bounded by the curve $y = (f \circ g) (x)$ and the lines $y = 0, 2 y - x = 15$ is equal to …
Mathematics · Area Under the Curves · Numerical
Q47.If the variance of the frequency distribution is 3, then $α$ is equal to . Includes table
Mathematics · Statistics · Numerical
Q48.The initial speed of a projectile fired from ground is $u$ . At the highest point during its motion, the speed of projectile is $\frac{3}{2} u$ . The time of flight of the projectile is :
Physics · Motion in A Plane · MCQ
Q49.A bar magnet with a magnetic moment $5.0 Am^{2}$ is placed in parallel position relative to a magnetic field of $0.4 T$ . The amount of required work done in turning the magnet from parallel to antiparallel position…
Physics · Magnetic Properties of Matter · MCQ
Q50.Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following {Assume negligible air friction}
Physics · Electromagnetic Induction · MCQ
Q51.The effect of increase in temperature on the number of electrons in conduction band ( $n_{e}$ ) and resistance of a semiconductor will be as:
Physics · Electronic Devices · MCQ
Q52.Which of the following correctly represents the variation of electric potential $(V)$ of a charged spherical conductor of radius $(R)$ with radial distance $(r)$ from the center?
Physics · Electrostatics · MCQ
Q53.The drift velocity of electrons for a conductor connected in an electrical circuit is $V_{d}$ . The conductor in now replaced by another conductor with same material and same length but double the area of cross section.…
Physics · Current Electricity · MCQ
Q54.A rod with circular cross-section area $2 cm^{2}$ and length $0.4 A$ is wound uniformly with 400 turns of an insulated wire. If a current of $0.4 A$ flows in the wire windings, the total magnetic flux produced…
Physics · Magnetics · MCQ
Q55.At a certain depth "d " below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height $3R$ above earth surface. Where $R$ is Radius of earth (Take $R = 6400 km$ …
Physics · Gravitation · MCQ
Q56.Two polaroide $A$ and $B$ are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid $C$ is placed between $A$ and $B$ bisecting angle…
Physics · Wave Optics · MCQ
Q57.100 balls each of mass $m$ moving with speed $v$ simultaneously strike a wall normally and reflected back with same speed, in time $t s$ . The total force exerted by the balls on the wall is
Physics · Center of Mass · MCQ
Q58.If $R, X_{L}$ , and $X_{C}$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :
Physics · Alternating Current · MCQ
Q59.The maximum potential energy of a block executing simple harmonic motion is $A/2$ . A is amplitude of oscillation. At $A/2$ , the kinetic energy of the block is
Physics · Simple Harmonic Motion · MCQ
Q60.If 1000 droplets of water of surface tension $0.07 N / m$ , having same radius $(Take π = \frac{22}{7})$ each, combine to from a single drop. In the process the released surface energy is :- $(Take π = \frac{22}{7})$ …
Physics · Properties of Matter · MCQ
Q61.As shown in figure, a $F = 200 N$ garden roller is pushed with a force of $F = 200 N$ at an angle of $3 0^{\circ}$ with horizontal. The normal reaction on the roller is (Given $g = 10 m s^{- 2}$ ) Includes diagram
Physics · Laws of Motion · MCQ
Q62.The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q63.The correct relation between $γ = \frac{c _{p}}{c _{v}}$ and temperature T is :
Physics · Heat and Thermodynamics · MCQ
Q64.If a source of electromagnetic radiation having power $1 0^{16}$ produces $1 0^{16}$ photons per second, the radiation belongs to a part of spectrum is. (Take Planck constant $h = 6 \times 1 0^{- 34} Js$ )
Physics · Dual Nature of Radiation · MCQ
Q65.A lift of mass $M = 500 kg$ is descending with speed of $2 ms^{- 1}$ . Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of $2 ms^{- 2}$ . The kinetic energy of the…
Physics · Work Power and Energy · Numerical
Q66.For hydrogen atom, $λ_{1}$ and $λ_{2}$ are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of $λ_{1}$ and $λ_{2}$ is $\frac{x}{32}$ . The value of $x$ is … Includes diagram
Physics · Atoms and Nuclei · Numerical
Q67.In the figure given below, a block of mass $M = 490 g$ placed on a frictionless table is connected with two springs having same spring constant $(K = 2 N m^{- 1})$ . If the block is… Includes diagram
Physics · Simple Harmonic Motion · Numerical
Q68.The speed of a swimmer is $4 km h^{- 1}$ in still water. If the swimmer makes his strokes normal to the flow of river of width $750 m$ , he reaches a point $750 m$ down the stream on the opposite bank.…
Physics · Motion in A Plane · Numerical
Q69.A solid sphere of mass $7 \times 1 0^{- 3} J$ rolls without slipping on a plane surface. Its kinetic energy is $7 \times 1 0^{- 3} J$ . The speed of the centre of mass of the sphere is $cm s^{- 1}$
Physics · Rotational Motion · Numerical
Q70.Expression for an electric field is given by $E = 4000 x^{2} \hat{i} \frac{V}{m}$ . The electric flux through the cube of side $20 cm$ when placed in electric field (as shown in the… Includes diagram
Physics · Electrostatics · Numerical
Q71.A thin rod having a length of $3 \times 1 0^{- 6} m^{2}$ and area of cross-section $3 \times 1 0^{- 6} m^{2}$ is suspended vertically from one end. The rod is cooled from $21 0^{\circ} C$ to $16 0^{\circ} C$ . After cooling, a…
Physics · Properties of Matter · Numerical
Q72.In a medium the speed of light wave decreases to $0.2$ times to its speed in free space The ratio of relative permittivity to the refractive index of the medium is $x : 1$ . The value of $x$ is . (Given speed of…
Physics · Electromagnetic Waves · Numerical
Q73.Two identical cells, when connected either in parallel or in series gives same current in an external resistance $5 Ω$ . The internal resistance of each cell will be $Ω$ .
Physics · Current Electricity · Numerical
Q74.An inductor of $20 μ F$ , a capacitor of $20 μ F$ and resistance of $20 Ω$ are connected in series with a $220 V$ ac source. If the current is in phase with the emf, the amplitude of current of the…
Physics · Alternating Current · Numerical