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2023 · 25 Jan · Shift 2

73 questions · JEE Main

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2023 · 25 Jan · Shift 2

2023 · 25 Jan · Shift 2

73 questions · JEE Main

Chemistry21 questions Mathematics25 questions Physics27 questions

Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Ionic EquilibriumChemistry · 1 questions Compounds Containing NitrogenChemistry · 2 questions Some Basic Concepts of ChemistryChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions Haloalkanes and HaloarenesChemistry · 1 questions P Block ElementsChemistry · 2 questions Chemical Bonding and Molecular StructureChemistry · 1 questions Coordination CompoundsChemistry · 2 questions D and F Block ElementsChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions ElectrochemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions ParabolaMathematics · 1 questions 3D GeometryMathematics · 3 questions FunctionsMathematics · 3 questions ProbabilityMathematics · 2 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions HyperbolaMathematics · 1 questions Application of DerivativesMathematics · 1 questions Complex NumbersMathematics · 1 questions Definite IntegrationMathematics · 2 questions Permutations and CombinationsMathematics · 4 questions Differential EquationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Geometrical OpticsPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions Electromagnetic InductionPhysics · 1 questions Laws of MotionPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions GravitationPhysics · 2 questions Motion in A PlanePhysics · 1 questions ElectrostaticsPhysics · 1 questions Current ElectricityPhysics · 2 questions Units and MeasurementsPhysics · 1 questions Electronic DevicesPhysics · 1 questions MagneticsPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Atoms and NucleiPhysics · 1 questions CapacitorPhysics · 1 questions Alternating CurrentPhysics · 1 questions Rotational MotionPhysics · 1 questions Center of MassPhysics · 1 questions Properties of MatterPhysics · 1 questions

Q1.'A' in the given reaction is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q2.When the hydrogen ion concentration [H $^{+}$ ] changes by a factor of 1000, the value of pH of the solution
Chemistry · Ionic Equilibrium · MCQ
Q3.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Compounds Containing Nitrogen · MCQ
Q4.What is the mass ratio of ethylene glycol ( $C_{2} H_{6} O_{2}$ , molar mass = 62 g/mol) required for making 500 g of 0.25 molal aqueous solution and 250 mL of 0.25 molar aqueous solution?
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q5.Find out the major product from the following reaction. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q6.The isomeric deuterated bromide with molecular formula $C_{4} H_{8} DBr$ having two chiral carbon atoms is
Chemistry · Haloalkanes and Haloarenes · MCQ
Q7.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Compounds Containing Nitrogen · MCQ
Q8.A. Ammonium salts produce haze in atmosphere. B. Ozone gets produced when atmospheric oxygen reacts with chlorine radicals. C. Polychlorinated biphenyls act as cleansing solvents. D. 'Blue baby' syndrome occurs due to the presence of…
Chemistry · P Block Elements · MCQ
Q9.Statement I : Dipole moment is a vector quantity and by convention it is depicted by a small arrow with tail on the negative centre and head pointing towards the positive centre. Statement II : The crossed arrow of the dipole moment…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q10.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q11.A chloride salt solution acidified with dil.HNO $_{3}$ gives a curdy white precipitate, [A], on addition of AgNO $_{3}$ . [A] on treatment with NH $_{4}$ OH gives a clear solution B. A and B are respectively :
Chemistry · D and F 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 : Butylated hydroxy anisole when added to butter increases its shelf life. Reason R : Butylated hydroxy anisole is more…
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.Potassium dichromate acts as a strong oxidizing agent in acidic solution. During this process, the oxidation state changes from :
Chemistry · P Block Elements · MCQ
Q14.28.0 L of CO $_{2}$ is produced on complete combustion of 16.8 L gaseous mixture of ethene and methane at 25 $^{\circ}$ C and 1 atm. Heat evolved during the combustion process is kJ. Given : $Δ H_{c} (C H_{4}) = - 900 kJ mo l^{- 1} Δ H_{c} (C_{2} H_{4}) = - 1400 kJ mo l^{- 1}$ …
Chemistry · Thermodynamics · Numerical
Q15.The number of pairs of the solutions having the same value of the osmotic pressure from the following is . (Assume 100% ionization) A. 0.500 $M C_{2} H_{5} OH (aq)$ and 0.25 $M KBr (aq)$ B. 0.100 $M K_{4} [Fe (CN)_{6}] (aq)$ …
Chemistry · Solutions · Numerical
Q16.A first order reaction has the rate constant, $k = 4.6 \times 1 0^{- 3} s^{- 1}$ . The number of correct statement/s from the following is/are Given : $lo g 3 = 0.48$ A. Reaction completes in 1000 s. B.…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q17. $P t (s) ∣ H_{2} (g) (1 ba r) ∣ H^{+} (a q) (1 M) ∣∣ M^{3 +} (a q), M^{+} (a q) ∣ P t (s)$ The $E_{cell}$ for the given cell is 0.1115 V at 298 K when $\frac{[ M ^{+} ( a q ) ]}{[ M ^{3 +} ( a q ) ]} = 1 0^{a}$ The…
Chemistry · Electrochemistry · Numerical
Q18.The number of given orbitals which have electron density along the axis is $p_{x}, p_{y}, p_{z}, d_{xy}, d_{yz}, d_{xz}, d_{z^{2}}, d_{x^{2} - y^{2}}$
Chemistry · Structure of Atom · Numerical
Q19.Total number of moles of AgCl precipitated on addition of excess of AgNO $_{3}$ to one mole each of the following complexes $[Co (N H_{3})_{4} C l_{2}] Cl, [Ni (H_{2} O)_{6}] C l_{2}, [Pt (N H_{3})_{2} C l_{2}]$ and $[Pd (N H_{3})_{4}] C l_{2}$ is …
Chemistry · Coordination Compounds · Numerical
Q20.Number of compounds giving (i) red colouration with ceric ammonium nitrate and also (ii) positive iodoform test from the following is Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q21.Number of hydrogen atoms per molecule of a hydrocarbon A having 85.8% carbon is (Given : Molar mass of A = 84 g mol $^{- 1}$ )
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q22.The equations of two sides of a variable triangle are $x = 0$ and $y = 3$ , and its third side is a tangent to the parabola $y^{2} = 6 x$ . The locus of its circumcentre is :
Mathematics · Parabola · MCQ
Q23.The foot of perpendicular of the point (2, 0, 5) on the line $\frac{x + 1}{2} = \frac{y - 1}{5} = \frac{z + 1}{- 1}$ is ( $α, β, γ$ ). Then, which of the following is NOT correct?
Mathematics · 3D Geometry · MCQ
Q24.The number of functions $f : {1, 2, 3, 4} \to {a \in Z ∣ a ∣ \leq 8}$ satisfying $f (n) + \frac{1}{n} f (n + 1) = 1, \forall n \in {1, 2, 3}$ is
Mathematics · Functions · MCQ
Q25.Let N be the sum of the numbers appeared when two fair dice are rolled and let the probability that $N - 2, 3 N, N + 2$ are in geometric progression be $\frac{k}{48}$ . Then the value of k is :
Mathematics · Probability · MCQ
Q26.If the function $f (x) = ⎩ ⎨ ⎧ (1 + ∣ cos x ∣)^{\frac{λ}{∣ c o s x ∣}} μ e^{\frac{c o t 6 x}{c o t 4 x}},,, 0 < x < \frac{π}{2} x = \frac{π}{2} \frac{π}{2} < x < π$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let A, B, C be 3 $\times$ 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements (S1) A $^{13}$ B $^{26} -$ B $^{26}$ A $^{13}$ is symmetric (S2) A $^{26}$ C $^{13} -$ C $^{13}$ A $^{26}$ is symmetric…
Mathematics · Matrices and Determinants · MCQ
Q28.The shortest distance between the lines $x + 1 = 2 y = - 12 z$ and $x = y + 2 = 6 z - 6$ is :
Mathematics · 3D Geometry · MCQ
Q29.Let T and C respectively be the transverse and conjugate axes of the hyperbola $16 x^{2} - y^{2} + 64 x + 4 y + 44 = 0$ . Then the area of the region above the parabola $x^{2} = y + 4$ , below the transverse axis T and on the right of the…
Mathematics · Hyperbola · MCQ
Q30.Let the function $f (x) = 2 x^{3} + (2 p - 7) x^{2} + 3 (2 p - 9) x - 6$ have a maxima for some value of $x 0$ . Then, the set of all values of p is
Mathematics · Application of Derivatives · MCQ
Q31.Let $z$ be a complex number such that $\frac{z - 2 i}{z + i} = 2, z e - i$ . Then $z$ lies on the circle of radius 2 and centre :
Mathematics · Complex Numbers · MCQ
Q32.The integral $16 1 \int 2 \frac{d x}{x ^{3} ( x ^{2} + 2 ) ^{2}}$ is equal to
Mathematics · Definite Integration · MCQ
Q33.Let $f : R \to R$ be a function defined by $f (x) = lo g_{m} {2 (sin x - cos x) + m - 2}$ , for some $m$ , such that the range of $f$ is [0, 2]. Then the value of $m$ is
Mathematics · Functions · MCQ
Q34.The number of numbers, strictly between 5000 and 10000 can be formed using the digits 1, 3, 5, 7, 9 without repetition, is :
Mathematics · Permutations and Combinations · MCQ
Q35.Let $y = y (t)$ be a solution of the differential equation $\frac{d y}{d t} + α y = γ e^{- β t}$ where, $α > 0, β > 0$ and $γ > 0$ . Then $t \to \infty lim y (t)$
Mathematics · Differential Equations · MCQ
Q36.Let $A = [\frac{1}{10} \frac{- 3}{10} \frac{3}{10} \frac{1}{10}]$ and $B = [10 - i 1]$ …
Mathematics · Matrices and Determinants · MCQ
Q37. $k = 0 \sum 6^{51 - k} C_{3}$ is equal to :
Mathematics · Permutations and Combinations · MCQ
Q38.Let $f (x) = 2 x^{n} + λ, λ \in R, n \in N$ , and $f (4) = 133, f (5) = 255$ . Then the sum of all the positive integer divisors of $(f (3) - f (2))$ is
Mathematics · Functions · MCQ
Q39.25% of the population are smokers. A smoker has 27 times more chances to develop lung cancer than a non smoker. A person is diagnosed with lung cancer and the probability that this person is a smoker is $\frac{k}{10}$ . Then the value of k…
Mathematics · Probability · Numerical
Q40.A triangle is formed by X-axis, Y-axis and the line $3 x + 4 y = 60$ . Then the number of points P(a, b) which lie strictly inside the triangle, where a is an integer and b is a multiple of a, is .
Mathematics · Permutations and Combinations · Numerical
Q41.The remainder when (2023) $^{2023}$ is divided by 35 is .
Mathematics · Binomial Theorem · Numerical
Q42.If $\frac{1}{3} \int 3 ∣ lo g_{e} x ∣ d x = \frac{m}{n} lo g_{e} (\frac{n ^{2}}{e})$ , where m and n are coprime natural numbers, then $m^{2} + n^{2} - 5$ is equal to .
Mathematics · Definite Integration · Numerical
Q43.Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the selected 5 fruits, at least 2 oranges, at least one red apple and at least one white apple must be given,…
Mathematics · Permutations and Combinations · Numerical
Q44.For the two positive numbers $a, b,$ if $\frac{1}{18}$ and $\frac{1}{18}$ are in a geometric progression, while $\frac{1}{a}, 10$ and $\frac{1}{b}$ are in an arithmetic progression, then $16 a + 12 b$ is equal to .
Mathematics · Sequences and Series · Numerical
Q45.If the shortest distance between the line joining the points (1, 2, 3) and (2, 3, 4), and the line $\frac{x - 1}{2} = \frac{y + 1}{- 1} = \frac{z - 2}{0}$ is $α$ , then 28 $α^{2}$ is equal to .
Mathematics · 3D Geometry · Numerical
Q46.Let $α \in R$ and let $x^{2} + 6 0^{\frac{1}{4}} x + a = 0$ be the roots of the equation $x^{2} + 6 0^{\frac{1}{4}} x + a = 0$ . If $α^{4} + β^{4} = - 30$ , then the product of all possible values of $a$ is .
Mathematics · Quadratic Equation and Inequalities · Numerical
Q47.The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are :- A. Real B. Erect C. Smaller in size then object D. Laterally inverted Choose the most appropriate…
Physics · Geometrical Optics · MCQ
Q48.A particle executes simple harmonic motion between $x = - A$ and $x = + A$ . If time taken by particle to go from $x = 0$ to $\frac{A}{2}$ is 2 s; then time taken by particle in going from $x = \frac{A}{2}$ to A is
Physics · Simple Harmonic Motion · MCQ
Q49.The distance travelled by a particle is related to time t as $x = 4 t^{2}$ . The velocity of the particle at t=5s is :-
Physics · Motion in A Straight Line · MCQ
Q50.Match List I with List II Choose the correct answer from the options given below : Includes table
Physics · Heat and Thermodynamics · MCQ
Q51.A wire of length 1m moving with velocity 8 m/s at right angles to a magnetic field of 2T. The magnitude of induced emf, between the ends of wire will be .
Physics · Electromagnetic Induction · MCQ
Q52.Consider a block kept on an inclined plane (incline at 45 $^{\circ}$ ) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just prevent it from sliding down, the coefficient of… Includes diagram
Physics · Laws of Motion · MCQ
Q53.Match List I with List II Choose the correct answer from the options given below : Includes table
Physics · Electromagnetic Waves · MCQ
Q54.Every planet revolves around the sun in an elliptical orbit :- A. The force acting on a planet is inversely proportional to square of distance from sun. B. Force acting on planet is inversely proportional to product of the masses of the…
Physics · Gravitation · MCQ
Q55.Two objects are projected with same velocity 'u' however at different angles $α$ and $β$ with the horizontal. If $α + β = 9 0^{\circ}$ , the ratio of horizontal range of the first object to the 2nd object will be :
Physics · Motion in A Plane · MCQ
Q56.The graph between two temperature scales P and Q is shown in the figure. Between upper fixed point and lower fixed point there are 150 equal divisions of scale P and 100 divisions on scale Q. The relationship for conversion between the two… Includes diagram
Physics · Heat and Thermodynamics · MCQ
Q57.A point charge of 10 $μ$ C is placed at the origin. At what location on the X-axis should a point charge of 40 $μ$ C be placed so that the net electric field is zero at $x = 2$ cm on the X-axis?
Physics · Electrostatics · MCQ
Q58.The resistance of a wire is 5 $Ω$ . It's new resistance in ohm if stretched to 5 times of it's original length will be :
Physics · Current Electricity · MCQ
Q59.Match List I with List II Choose the correct answer from the options given below : Includes table
Physics · Units and Measurements · MCQ
Q60.Statement I : When a Si sample is doped with Boron, it becomes P type and when doped by Arsenic it becomes N-type semi conductor such that P-type has excess holes and N-type has excess electrons. Statement II : When such P-type and N-type…
Physics · Electronic Devices · MCQ
Q61.According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-
Physics · Heat and Thermodynamics · MCQ
Q62.A body of mass is taken from earth surface to the height h equal to twice the radius of earth (R $_{e}$ ), the increase in potential energy will be : (g = acceleration due to gravity on the surface of Earth)
Physics · Gravitation · MCQ
Q63.For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is passes through it. If the torsional constant of suspension wire is $4.0 \times 1 0^{- 5} N m ra d^{- 1}$ , the magnetic field is 0.01T and…
Physics · Magnetics · MCQ
Q64.Given below are two statements : Statement I : Stopping potential in photoelectric effect does not depend on the power of the light source. Statement II : For a given metal, the maximum kinetic energy of the photoelectron depends on the…
Physics · Dual Nature of Radiation · MCQ
Q65.The energy levels of an atom is shown in figure. Which one of these transitions will result in the emission of a photon of wavelength 124.1 nm? Given (h = 6.62 $\times$ 10 $^{- 34}$ Js) Includes diagram
Physics · Atoms and Nuclei · MCQ
Q66.Two long parallel wires carrying currents 8A and 15A in opposite directions are placed at a distance of 7 cm from each other. A point P is at equidistant from both the wires such that the lines joining the point P to the wires are…
Physics · Magnetics · Numerical
Q67.A capacitor has capacitance 5 $μ$ F when it's parallel plates are separated by air medium of thickness d. A slab of material of dielectric constant 1.5 having area equal to that of plates but thickness $\frac{d}{2}$ is inserted between…
Physics · Capacitor · Numerical
Q68.An object is placed on the principal axis of convex lens of focal length 10cm as shown. A plane mirror is placed on the other side of lens at a distance of 20 cm. The image produced by the plane mirror is 5cm inside the mirror. The… Includes diagram
Physics · Geometrical Optics · Numerical
Q69.Two cells are connected between points A and B as shown. Cell 1 has emf of 12 V and internal resistance of 3 $Ω$ . Cell 2 has emf of 6V and internal resistance of 6 $Ω$ . An external resistor R of 4 $Ω$ is connected across A… Includes diagram
Physics · Current Electricity · Numerical
Q70.A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains a resistance R = 80 $Ω$ , an inductor of inductive reactance $X_{L} = 70Ω$ , and a capacitor of capacitive reactance $X_{C} = 130Ω$ …
Physics · Alternating Current · Numerical
Q71.If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tangent will be $\frac{x}{7}$ . The…
Physics · Rotational Motion · Numerical
Q72.A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision, the smaller body reverses its direction of motion and moves with a speed of 2 m/s. The initial speed of the smaller body before…
Physics · Center of Mass · Numerical
Q73.A spherical drop of liquid splits into 1000 identical spherical drops. If u $_{i}$ is the surface energy of the original drop and u $_{f}$ is the total surface energy of the resulting drops, the (ignoring evaporation), $\frac{u _{f}}{u _{i}} = (\frac{10}{x})$ …
Physics · Properties of Matter · Numerical