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2022 · 28 Jul · Shift 2

66 questions · JEE Main

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2022 · 28 Jul · Shift 2

2022 · 28 Jul · Shift 2

66 questions · JEE Main

Chemistry20 questions Mathematics19 questions Physics27 questions

Structure of AtomChemistry · 2 questions ThermodynamicsChemistry · 2 questions D and F Block ElementsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions Coordination CompoundsChemistry · 1 questions P Block ElementsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Basics of Organic ChemistryChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 1 questions SolutionsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Matrices and DeterminantsMathematics · 1 questions FunctionsMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Application of DerivativesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions DifferentiationMathematics · 1 questions Definite IntegrationMathematics · 2 questions Area Under the CurvesMathematics · 1 questions Differential EquationsMathematics · 1 questions HyperbolaMathematics · 1 questions Vector AlgebraMathematics · 1 questions ProbabilityMathematics · 2 questions Binomial TheoremMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Complex NumbersMathematics · 1 questions Units and MeasurementsPhysics · 2 questions Motion in A PlanePhysics · 1 questions Properties of MatterPhysics · 3 questions Laws of MotionPhysics · 1 questions Work Power and EnergyPhysics · 1 questions Simple Harmonic MotionPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 1 questions ElectrostaticsPhysics · 1 questions Current ElectricityPhysics · 2 questions MagneticsPhysics · 2 questions Alternating CurrentPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Geometrical OpticsPhysics · 3 questions Dual Nature of RadiationPhysics · 1 questions Motion in A Straight LinePhysics · 1 questions Center of MassPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions

Q1.Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion $A$ : Zero orbital overlap is an out of phase overlap. Reason $R$ : It results due to…
Chemistry · Structure of Atom · MCQ
Q2.Given below are two statements: One is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : The reduction of a metal oxide is easier if the metal formed is in liquid state than solid state.…
Chemistry · Thermodynamics · MCQ
Q3.Which of the following pair is not isoelectronic species? (At. no. Sm, 62; Er, 68; Yb, 70; Lu, 71; Eu, 63; Tb, 65; Tm, 69)
Chemistry · D and F Block Elements · Multiple correct
Q4.Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R Assertion A : Permanganate titrations are not performed in presence of hydrochloric acid. Reason R : Chlorine is formed as a consequence…
Chemistry · Ionic Equilibrium · MCQ
Q5.Match List I with List II Choose the correct answer from the options given below : Includes table
Chemistry · Coordination Compounds · MCQ
Q6.Dinitrogen and dioxygen, the main constituents of air do not react with each other in atmosphere to form oxides of nitrogen because :
Chemistry · P Block Elements · MCQ
Q7.The major product in the given reaction is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q8.Arrange the following in increasing order of reactivity towards nitration A. p-xylene B. bromobenzene C. mesitylene D. nitrobenzene E. benzene Choose the correct answer from the options given below
Chemistry · Basics of Organic Chemistry · MCQ
Q9.Compound I is heated with Conc. HI to give a hydroxy compound A which is further heated with Zn dust to give compound B. Identify A and B. Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q10.Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$ Assertion A : Aniline on nitration yields ortho, meta & para nitro derivatives of aniline. Reason $R$ :…
Chemistry · Compounds Containing Nitrogen · MCQ
Q11.Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R Assertion A : Thin layer chromatography is an adsorption chromatography. Reason R : A thin layer of silica gel is spread over a glass…
Chemistry · Basics of Organic Chemistry · MCQ
Q12.The formulas of A and B for the following reaction sequence are Includes diagram
Chemistry · Biomolecules · MCQ
Q13.Find out the major product for the above reaction. Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q14.2L of 0.2M $H_{2} S O_{4}$ is reacted with 2L of 0.1M $N a O H$ solution, the molarity of the resulting product $N a_{2} S O_{4}$ in the solution is millimolar. (Nearest integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q15.If the wavelength for an electron emitted from $H$ -atom is $3.3 \times 1 0^{- 10} m$ , then energy absorbed by the electron in its ground state compared to minimum energy required for its escape from the atom, is …
Chemistry · Structure of Atom · Numerical
Q16.A gaseous mixture of two substances A and B, under a total pressure of $0.8$ atm is in equilibrium with an ideal liquid solution. The mole fraction of substance A is $0.5$ in the vapour phase and $0.2$ in the liquid phase. The vapour…
Chemistry · Solutions · Numerical
Q17.At $600 K, 2 mol$ of $NO$ are mixed with $O_{2}$ of $O_{2}$ . $2 NO_{(g)} + O_{2} (g) ⇄ 2 NO_{2} (g)$ The reaction occurring…
Chemistry · Chemical Equilibrium · Numerical
Q18.A sample of $22.78 mL$ of an organic compound when analyzed by Duma's method yields $KOH$ of nitrogen gas collected over $KOH$ solution at $759 mm Hg$ and $759 mm Hg$ . The…
Chemistry · Practical Organic Chemistry · Numerical
Q19.For a reaction, given below is the graph of $ln k$ vs $\frac{1}{T}$ . The activation energy for the reaction is equal to $cal mol^{- 1}$ . (nearest integer) (Given : $R = 2 cal K^{- 1} mol^{- 1}$ … Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q20.Among the following the number of state variables is . Internal energy (U) Volume (V) Heat (q) Enthalpy (H)
Chemistry · Thermodynamics · Numerical
Q21. $Let S = {x \in [- 6, 3] - {- 2, 2} : \frac{∣ x + 3∣ - 1}{∣ x ∣ - 2} \geq 0} and T = {x \in Z : x^{2} - 7∣ x ∣ + 9 \leq 0} .$ Then the number of elements in $S \cap T$ is :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q22.Let $α$ , $β$ be the roots of the equation $x^{2} - 2 x + 6 = 0$ and $\frac{1}{α ^{2}} + 1, \frac{1}{β ^{2}} + 1$ be the roots of the equation $x^{2} + a x + b = 0$ . Then the roots of the equation $x^{2} - (a + b - 2) x + (a + b + 2) = 0$ …
Mathematics · Quadratic Equation and Inequalities · MCQ
Q23.Let $A$ and $B$ be any two $3 \times 3$ symmetric and skew symmetric matrices respectively. Then which of the following is NOT true?
Mathematics · Matrices and Determinants · MCQ
Q24. $Let f (x) = a x^{2} + b x + c be such that f (1) = 3, f (- 2) = λ and$ $f (3) = 4$ . If $f (0) + f (1) + f (- 2) + f (3) = 14$ , then $λ$ is equal to :
Mathematics · Functions · MCQ
Q25.The function $f : R \to R$ defined by $f (x) = n \to \infty lim \frac{c o s ( 2 π x ) - x ^{2 n} s i n ( x - 1 )}{1 + x ^{2 n + 1} - x ^{2 n}}$ is continuous for all x in :
Mathematics · Limits Continuity and Differentiability · MCQ
Q26.The function $f (x) = x e^{x (1 - x)}, x \in R$ , is :
Mathematics · Application of Derivatives · MCQ
Q27.The sum of the absolute maximum and absolute minimum values of the function $f (x) = tan^{- 1} (sin x - cos x)$ in the interval $[0, π]$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q28.Let $x (t) = 22 cos t sin 2 t$ and $y (t) = 22 sin t sin 2 t, t \in (0, \frac{π}{2})$ . Then $\frac{1 + ( \frac{d y}{d x} ) ^{2}}{\frac{d ^{2} y}{d x ^{2}}}$ at $t = \frac{π}{4}$ is equal to :
Mathematics · Differentiation · MCQ
Q29.Let $I_{n} (x) = \int_{0}^{x} \frac{1}{( t ^{2} + 5 ) ^{n}} d t, n = 1, 2, 3, \dots .$ Then :
Mathematics · Definite Integration · MCQ
Q30.The area enclosed by the curves $y = lo g_{e} (x + e^{2}), x = lo g_{e} (\frac{2}{y})$ and $x = lo g_{e} 2$ , above the line $y = 1$ is:
Mathematics · Area Under the Curves · MCQ
Q31.Let $y = y (x)$ be the solution curve of the differential equation $\frac{d y}{d x} + \frac{1}{x ^{2} - 1} y = (\frac{x - 1}{x + 1})^{1/2}$ , $x > 1$ passing through the point $(2, \frac{1}{3})$ . Then $\sqrt{7}\,…
Mathematics · Differential Equations · MCQ
Q32.Let the hyperbola $H : \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ pass through the point $(22, - 22)$ . A parabola is drawn whose focus is same as the focus of $H$ with positive abscissa and the directrix of the…
Mathematics · Hyperbola · MCQ
Q33.Let S be the set of all a $u = a (lo g_{e} b) \hat{i} - 6 \hat{j} + 3 \hat{k}$ for which the angle between the vectors $u = a (lo g_{e} b) \hat{i} - 6 \hat{j} + 3 \hat{k}$ and $v = (lo g_{e} b) \hat{i} + 2 \hat{j} + 2 a (lo g_{e} b) \hat{k}$ , $(b > 1)$ …
Mathematics · Vector Algebra · MCQ
Q34.Let $A$ and $B$ be two events such that $P (B ∣ A) = \frac{2}{5}, P (A ∣ B) = \frac{1}{7}$ and $P (A \cap B) = \frac{1}{9} \cdot$ Consider (S1) $P (A^{'} \cup B) = \frac{5}{6}$ , (S2) $P (A^{'} \cap B^{'}) = \frac{1}{18}$ …
Mathematics · Probability · MCQ
Q35.Let the coefficients of the middle terms in the expansion of $(\frac{1}{6} + β x)^{4}, (1 - 3 β x)^{2}$ and $(1 - \frac{β}{2} x)^{6}, β > 0$ , respectively form the first three terms of an A.P. If…
Mathematics · Binomial Theorem · Numerical
Q36.A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then $b + 3 g$ is equal to .
Mathematics · Permutations and Combinations · Numerical
Q37.Let $z = a + ib, b e q 0$ be complex numbers satisfying $z^{2} = \overset{z}{ˉ} \cdot 2^{1 - z}$ . Then the least value of $n \in N$ , such that $z^{n} = (z + 1)^{n}$ , is equal to .
Mathematics · Complex Numbers · Numerical
Q38.A bag contains 4 white and 6 black balls. Three balls are drawn at random from the bag. Let $X$ be the number of white balls, among the drawn balls. If $σ^{2}$ is the variance of $X$ , then $100 σ^{2}$ is equal…
Mathematics · Probability · Numerical
Q39.The value of the integral $0 \int \frac{π}{2} 60 \frac{s i n ( 6 x )}{s i n x} d x$ is equal to .
Mathematics · Definite Integration · Numerical
Q40.Consider the efficiency of carnot's engine is given by $η = \frac{α β}{s i n θ} lo g_{e} \frac{β x}{k T}$ , where $α$ and $β$ are constants. If T is temperature, k is Boltzmann constant, $θ$ is angular…
Physics · Units and Measurements · MCQ
Q41.At time $t = 0$ a particle starts travelling from a height $7 \overset{z}{^} cm$ in a plane keeping z coordinate constant. At any instant of time it's position along the $\overset{x}{^}$ and $\overset{y}{^}$ directions are defined as $3 t$ and…
Physics · Motion in A Plane · MCQ
Q42.A pressure-pump has a horizontal tube of cross sectional area $10 cm^{2}$ for the outflow of water at a speed of $20 m / s$ . The force exerted on the vertical wall just in front of the tube which stops water…
Physics · Properties of Matter · MCQ
Q43.A uniform metal chain of mass m and length 'L' passes over a massless and frictionless pulley. It is released from rest with a part of its length 'l' is hanging on one side and rest of its length ' $L - l$ ' is hanging on the other… Includes diagram
Physics · Laws of Motion · MCQ
Q44.A bullet of mass $90 J$ having initial kinetic energy $40 J$ is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to $1 s$ within $1 s$ , the minimum length of… Includes diagram
Physics · Work Power and Energy · MCQ
Q45.Assume there are two identical simple pendulum clocks. Clock - 1 is placed on the earth and Clock - 2 is placed on a space station located at a height h above the earth surface. Clock - 1 and Clock - 2 operate at time periods 4 s and 6 s…
Physics · Simple Harmonic Motion · MCQ
Q46.Consider a cylindrical tank of radius $15 m$ is filled with water. The top surface of water is at $5 m$ from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of $5 m$ from the… Includes diagram
Physics · Properties of Matter · MCQ
Q47.A vessel contains $2 7^{\circ} C$ of nitrogen gas at a temperature of $2 7^{\circ} C$ . The amount of heat to be transferred to the gas to double the r.m.s speed of its molecules will be : Take $R = 8.32 J mol^{- 1} k^{- 1}$ …
Physics · Heat and Thermodynamics · MCQ
Q48.A slab of dielectric constant $K$ has the same cross-sectional area as the plates of a parallel plate capacitor and thickness $\frac{3}{4} d$ , where $d$ is the separation of the plates. The capacitance of the…
Physics · Capacitor · MCQ
Q49.A uniform electric field $E = (8 m / e) V / m$ is created between two parallel plates of length $m =$ as shown in figure, (where $m =$ mass of electron and e = charge of… Includes diagram
Physics · Electrostatics · MCQ
Q50.Given below are two statements : Statement I : A uniform wire of resistance $80 Ω$ is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be $5 Ω$ . Statement…
Physics · Current Electricity · MCQ
Q51.A triangular shaped wire carrying $0.5 T$ current is placed in a uniform magnetic field of $CD$ , as shown in figure. The magnetic force on segment $CD$ is (Given $BC = CD = BD = 5 cm$ … Includes diagram
Physics · Magnetics · MCQ
Q52.The magnetic field at the center of current carrying circular loop is $B_{1}$ . The magnetic field at a distance of $3$ times radius of the given circular loop from the center on its axis is $B_{2}$ . The value of $B_{1} / B_{2}$ will…
Physics · Magnetics · MCQ
Q53.A transformer operating at primary voltage $8 kV$ and secondary voltage $80 kW$ serves a load of $80 kW$ . Assuming the transformer to be ideal with purely resistive load and working on unity power factor, the…
Physics · Alternating Current · MCQ
Q54.Sun light falls normally on a surface of area $36 cm^{2}$ and exerts an average force of $7.2 \times 1 0^{- 9} N$ within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident…
Physics · Electromagnetic Waves · MCQ
Q55.The power of a lens (biconvex) is $1.25 m^{- 1}$ in particular medium. Refractive index of the lens is 1.5 and radii of curvature are $40 cm$ and $40 cm$ respectively. The refractive index of surrounding medium:
Physics · Geometrical Optics · MCQ
Q56.Two streams of photons, possessing energies equal to five and ten times the work function of metal are incident on the metal surface successively. The ratio of maximum velocities of the photoelectron emitted, in the two cases respectively,…
Physics · Dual Nature of Radiation · MCQ
Q57.A ball is thrown vertically upwards with a velocity of $19.6 ms^{- 1}$ from the top of a tower. The ball strikes the ground after $(\frac{k}{5}) m$ . The height from the ground up to which the ball can rise will be $(\frac{k}{5}) m$ …
Physics · Motion in A Straight Line · Numerical
Q58.The distance of centre of mass from end A of a one dimensional rod (AB) having mass density $ρ = ρ_{0} (1 - \frac{x ^{2}}{L ^{2}}) kg / m$ and length L (in meter) is $\frac{3 L}{α} m$ . The value…
Physics · Center of Mass · Numerical
Q59.A string of area of cross-section $4 mm^{2}$ and length $2 kg$ is connected with a rigid body of mass $0.5 m$ . The body is rotated in a vertical circular path of radius $0.5 m$ . The body acquires a…
Physics · Properties of Matter · Numerical
Q60.At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas performs 150 J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be J.
Physics · Heat and Thermodynamics · Numerical
Q61.The potential energy of a particle of mass $U = 4 (1 - cos 4 x)$ in motion along the x-axis is given by $U = 4 (1 - cos 4 x)$ J. The time period of the particle for small oscillation $(sin θ ≃ θ)$ is $(\frac{π}{K}) s$ …
Physics · Simple Harmonic Motion · Numerical
Q62.An electrical bulb rated 220 V, 100 W, is connected in series with another bulb rated 220 V, 60 W. If the voltage across combination is 220 V, the power consumed by the 100 W bulb will be about W.
Physics · Current Electricity · Numerical
Q63.For the given circuit the current through battery of 6 V just after closing the switch 'S' will be A. Includes diagram
Physics · Electromagnetic Induction · Numerical
Q64.An object 'O' is placed at a distance of $200 cm$ in front of a concave mirror of radius of curvature $200 cm$ as shown in the figure. The object starts moving towards the mirror at a speed $2 \mathrm{~cm} /… Includes diagram
Physics · Geometrical Optics · Numerical
Q65.In an experiment with a convex lens, The plot of the image distance $(v^{'})$ against the object distance ( $μ^{'})$ measured from the focus gives a curve $v^{'} μ^{'} = 225$ . If all the…
Physics · Geometrical Optics · Numerical
Q66.In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of $1 s$ is measured from time of 100 oscillation with a watch of $10 cm$ resolution. If measured value of length is $10 cm$ …
Physics · Units and Measurements · Numerical