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2022 · 25 Jul · Shift 2

70 questions · JEE Main

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2022 · 25 Jul · Shift 2

2022 · 25 Jul · Shift 2

70 questions · JEE Main

Chemistry22 questions Mathematics23 questions Physics25 questions

Chemical Bonding and Molecular StructureChemistry · 2 questions SolutionsChemistry · 1 questions Ionic EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Coordination CompoundsChemistry · 1 questions P Block ElementsChemistry · 1 questions HydrocarbonsChemistry · 1 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 2 questions Basics of Organic ChemistryChemistry · 3 questions BiomoleculesChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 2 questions Structure of AtomChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Complex NumbersMathematics · 1 questions Matrices and DeterminantsMathematics · 2 questions FunctionsMathematics · 2 questions Binomial TheoremMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 1 questions Definite IntegrationMathematics · 3 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions EllipseMathematics · 1 questions HyperbolaMathematics · 1 questions 3D GeometryMathematics · 1 questions Vector AlgebraMathematics · 1 questions StatisticsMathematics · 1 questions Trigonometric Ratio and IdentitesMathematics · 1 questions Sets and RelationsMathematics · 1 questions Application of DerivativesMathematics · 1 questions Differential EquationsMathematics · 1 questions Area Under the CurvesMathematics · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Electromagnetic InductionPhysics · 2 questions Properties of MatterPhysics · 1 questions Center of MassPhysics · 2 questions Laws of MotionPhysics · 1 questions CapacitorPhysics · 2 questions Dual Nature of RadiationPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Electromagnetic WavesPhysics · 1 questions Alternating CurrentPhysics · 1 questions Current ElectricityPhysics · 1 questions GravitationPhysics · 2 questions Heat and ThermodynamicsPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Motion in A PlanePhysics · 1 questions Units and MeasurementsPhysics · 1 questions Atoms and NucleiPhysics · 2 questions Motion in A Straight LinePhysics · 1 questions Electronic DevicesPhysics · 1 questions

Q1.Match List I with List II: Choose the correct answer from the options given below: Includes table
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y, respectively in 1 kg of water. The ratio of depression in freezing points for A and B is found to be 1 : 4. The ratio of molar masses of X and Y is
Chemistry · Solutions · MCQ
Q3. $K_{a_{1}}$ , $K_{a_{2}}$ and $K_{a_{3}}$ are the respective ionization constants for the following reactions (a), (b) and (c). (a) $H_{2} C_{2} O_{4} ⇌ H^{+} + H C_{2} O_{4}^{-}$ (b) $H C_{2} O_{4}^{-} ⇌ H^{+} + C_{2} O_{4}^{2 -}$ …
Chemistry · Ionic Equilibrium · MCQ
Q4.The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl solution is $Λ_{m 1}$ and that of 20 moles another identical cell heaving 80 mL NaCl solution is $Λ_{m 2}$ . The conductivities exhibited by…
Chemistry · Electrochemistry · MCQ
Q5.The first ionization enthalpies of Be, B, N and O follow the order
Chemistry · Periodic Table and Periodicity · MCQ
Q6.The correct order of energy of absorption for the following metal complexes is : A : $[N i (e n)_{3}]^{2 +}$ , B : $[N i (N H_{3})_{6}]^{2 +}$ , C : $[N i (H_{2} O)_{6}]^{2 +}$
Chemistry · Coordination Compounds · MCQ
Q7.Match List I with List II: Choose the correct answer from the options given below : Includes table
Chemistry · P Block Elements · MCQ
Q8.Major product of the following reaction is Includes diagram
Chemistry · Hydrocarbons · MCQ
Q9.What is the major product of the following reaction? Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q10.Arrange the following in decreasing acidic strength. Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q11. $C H_{3} - C H_{2} - C N E t h er ⟶ C H_{3} M g B r A H_{3} O^{+} B H C l ⟶ Z n - H g C$ The correct structure of C is
Chemistry · Aldehydes Ketones and Carboxylic Acids · MCQ
Q12.Glycosidic linkage between C1 of $α$ -glucose and C2 of $β$ -fructose is found in
Chemistry · Biomolecules · MCQ
Q13.In base vs. acid titration, at the end point methyl orange is present as
Chemistry · Practical Organic Chemistry · MCQ
Q14.56.0 L of nitrogen gas is mixed with excess hydrogen gas and it is found that 20 L of ammonia gas is produced. The volume of unused nitrogen gas is found to be L.
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q15.When the excited electron of a H atom from n = 5 drops to the ground state, the maximum number of emission lines observed are .
Chemistry · Structure of Atom · Numerical
Q16.While performing a thermodynamics experiment, a student made the following observations. $H C l$ + $N a O H$ $\to$ $N a C l$ + $H_{2} O$ $Δ$ H = $-$ 57.3 kJ mol $-$ 1 $C H_{3} C O O H$ + $N a O H$ $\to$ $C H_{3} C O O N a$ + $H_{2} O$ $Δ$ H = $-$ 55.3 kJ mol…
Chemistry · Thermodynamics · Numerical
Q17.For the decomposition of azomethane. $C H_{3} N_{2} C H_{3}$ (g) $\to$ $C H_{3} C H_{3}$ (g) + $N_{2}$ (g), a first order reaction, the variation in partial pressure with time at 600 K is given as The half life of the reaction is $\times$ … Includes diagram
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q18.The sum of number of lone pairs of electrons present on the central atoms of $X e O_{3}$ , $X e O F_{4}$ and $X e F_{6}$ , is
Chemistry · Chemical Bonding and Molecular Structure · Numerical
Q19.The spin-only magnetic moment value of $M^{3 +}$ ion (in gaseous state) from the pairs $C r^{3 +}$ / $C r^{2 +}$ , $M n^{3 +}$ / $M n^{2 +}$ , $F e^{3 +}$ / $F e^{2 +}$ and $C o^{3 +}$ / $C o^{2 +}$ that has negative standard electrode potential, is …
Chemistry · Electrochemistry · Numerical
Q20.A sample of 4.5 mg of an unknown monohydric alcohol, $R - O H$ was added to methylmagnesium iodide. A gas is evolved and is collected and its volume measured to be 3.1 mL. The molecular weight of the unknown alcohol is …
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q21.The separation of two coloured substances was done by paper chromatography. The distances travelled by solvent front, substance A and substance B from the base line are 3.25 cm, 2.08 cm and 1.05 cm, respectively. The ratio of Rf values of…
Chemistry · Basics of Organic Chemistry · Numerical
Q22.The total number of monobromo derivatives formed by the alkanes with molecular formula $C_{5} H_{12}$ is (excluding stereo isomers) .
Chemistry · Basics of Organic Chemistry · Numerical
Q23.For $z \in C$ if the minimum value of $(∣ z - 32 ∣ + ∣ z - p 2 i ∣)$ is $52$ , then a value Question: of $p$ is .
Mathematics · Complex Numbers · MCQ
Q24.The number of real values of $λ$ , such that the system of linear equations 2x $-$ 3y + 5z = 9 x + 3y $-$ z = $-$ 18 3x $-$ y + ( $λ$ 2 $-$ | $λ$ |)z = 16 has no solutions, is
Mathematics · Matrices and Determinants · MCQ
Q25.The number of bijective functions $f : {1, 3, 5, 7, \dots, 99} \to {2, 4, 6, 8, \dots .100}$ , such that $f (3) \geq f (9) \geq f (15) \geq f (21) \geq \dots .. f (99)$ , is .
Mathematics · Functions · MCQ
Q26.The remainder when $(11)^{1011} + (1011)^{11}$ is divided by 9 is
Mathematics · Binomial Theorem · MCQ
Q27. $x \to \frac{π}{4} lim \frac{8 2 - ( c o s x + s i n x ) ^{7}}{2 - 2 s i n 2 x}$ is equal to
Mathematics · Limits Continuity and Differentiability · MCQ
Q28.If $A$ and $B$ are two events such that $P (A) = \frac{1}{3}, P (B) = \frac{1}{5}$ and $P (A \cup B) = \frac{1}{2}$ , then $P (A ∣ B^{'}) + P (B ∣ A^{'})$ is equal to :
Mathematics · Probability · MCQ
Q29.Let $[t]$ denote the greatest integer less than or equal to $t$ . Then the value of the integral $\int_{- 3}^{101} ([sin (π x)] + e^{[c o s (2 π x)]}) d x$ is equal to
Mathematics · Definite Integration · MCQ
Q30.Let the point $P (α, β)$ be at a unit distance from each of the two lines $L_{1} : 3 x - 4 y + 12 = 0$ , and $L_{2} : 8 x + 6 y + 11 = 0$ . If $P$ lies below $L_{1}$ and above $L_{2}$ , then $100 (α + β)$ is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.If the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} = 1$ meets the line $\frac{x}{7} + \frac{y}{2 6} = 1$ on the $x$ -axis and the line $\frac{x}{7} - \frac{y}{2 6} = 1$ on the $y$ -axis, then the eccentricity of the ellipse is :
Mathematics · Ellipse · MCQ
Q32.Let the foci of the ellipse $\frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1$ and the hyperbola $\frac{x ^{2}}{144} - \frac{y ^{2}}{α} = \frac{1}{25}$ coincide. Then the length of the latus rectum of the hyperbola is :
Mathematics · Hyperbola · MCQ
Q33.The shortest distance between the lines $\frac{x + 7}{- 6} = \frac{y - 6}{7} = z$ and $\frac{7 - x}{2} = y - 2 = z - 6$ is :
Mathematics · 3D Geometry · MCQ
Q34.Let $a = \hat{i} - \hat{j} + 2 \hat{k}$ and let $b$ be a vector such that $a \times b = 2 \hat{i} - \hat{k}$ and $a \cdot b = 3$ . Then the projection of $b$ on the vector $a - b$ is :
Mathematics · Vector Algebra · MCQ
Q35.If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged in the ascending order, is 6 then the median is :
Mathematics · Statistics · MCQ
Q36. $2 sin (\frac{π}{22}) sin (\frac{3 π}{22}) sin (\frac{5 π}{22}) sin (\frac{7 π}{22}) sin (\frac{9 π}{22})$ is equal to :
Mathematics · Trigonometric Ratio and Identites · MCQ
Q37.Let $A = {1, 2, 3, 4, 5, 6, 7}$ . Define $B = {T \subseteq A$ : either $1 o t in T$ or $2 \in T}$ and $C = {T \subseteq A : T$ the sum of all the elements of $T$ is a prime number $}$ . Then the number of elements in the set $B \cup C$ is …
Mathematics · Sets and Relations · Numerical
Q38.Let $f (x)$ be a quadratic polynomial with leading coefficient 1 such that $f (0) = p, p e q 0$ , and $f (1) = \frac{1}{3}$ . If the equations $f (x) = 0$ and $f \circ f \circ f \circ f (x) = 0$ have a common real root, then $f (- 3)$ is equal to …
Mathematics · Functions · Numerical
Q39.Let $A = 100 a 10 a b 1, a, b \in R$ . If for some $n \in N, A^{n} = 10048102160961$ …
Mathematics · Matrices and Determinants · Numerical
Q40.The sum of the maximum and minimum values of the function $f (x) = ∣5 x - 7∣ + [x^{2} + 2 x]$ in the interval $[\frac{5}{4}, 2]$ , where $[t]$ is the greatest integer , is .
Mathematics · Application of Derivatives · Numerical
Q41.Let $y = y (x)$ be the solution of the differential equation $\frac{d y}{d x} = \frac{4 y ^{3} + 2 y x ^{2}}{3 x y ^{2} + x ^{3}}, y (1) = 1$ . If for some $n \in N, y (2) \in [n - 1, n)$ , then $n$ is equal to .
Mathematics · Differential Equations · Numerical
Q42.Let $f$ be a twice differentiable function on $R$ . If $f^{'} (0) = 4$ and $f (x) + 0 \int x (x - t) f^{'} (t) d t = (e^{2 x} + e^{- 2 x}) cos 2 x + \frac{2}{a} x$ , then $(2 a + 1)^{5} a^{2}$ is equal to …
Mathematics · Definite Integration · Numerical
Q43.Let $a_{n} = - 1 \int n (1 + \frac{x}{2} + \frac{x ^{2}}{3} + ..... + \frac{x ^{n - 1}}{n}) d x$ for every n $\in$ N. Then the sum of all the elements of the set {n} $\in$ N : an $\in$ (2, 30)} is …
Mathematics · Definite Integration · Numerical
Q44.Let the area enclosed by the x-axis, and the tangent and normal drawn to the curve $4 x^{3} - 3 x y^{2} + 6 x^{2} - 5 x y - 8 y^{2} + 9 x + 14 = 0$ at the point ( $-$ 2, 3) be A. Then 8A is equal to .
Mathematics · Area Under the Curves · Numerical
Q45.Let $x = sin (2 tan^{- 1} α)$ and $y = sin (\frac{1}{2} tan^{- 1} \frac{4}{3})$ . If $S = {a \in R : y^{2} = 1 - x}$ , then $α \in S \sum 16 α^{3}$ is equal to …
Mathematics · Inverse Trigonometric Functions · Numerical
Q46.The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound and in rewound into a circular coil of 5 tuns and the same current produces a magnetic induction B2 at its centre. The…
Physics · Electromagnetic Induction · MCQ
Q47.A drop of liquid of density $ρ$ is floating half immersed in a liquid of density $σ$ and surface tension $7.5 \times 1 0^{- 4}$ Ncm $-$ 1. The radius of drop in $cm$ will be : (g = 10 ms $-$ 2)
Physics · Properties of Matter · MCQ
Q48.Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms $-$ 1 collide and rebound with the same speed. If the time duration of contact is t = 0.005 s, then what is the force exerted on the ball due to each other?
Physics · Center of Mass · MCQ
Q49.For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional force must be applied and at what angle with positive x-axis so that the net acceleration of body is zero? Includes diagram
Physics · Laws of Motion · MCQ
Q50.Capacitance of an isolated conducting sphere of radius R1 becomes n times when it is enclosed by a concentric conducting sphere of radius R2 connected to earth. The ratio of their radii $(\frac{R _{2}}{R _{1}})$ is :
Physics · Capacitor · MCQ
Q51.The ratio of wavelengths of proton and deuteron accelerated by potential Vp and Vd is 1 : $2$ . Then the ratio of Vp to Vd will be :
Physics · Dual Nature of Radiation · MCQ
Q52.For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance 12 cm from the lens. A glass plate of refractive index 1.5 and thickness 1 cm is introduced between lens and screen…
Physics · Geometrical Optics · MCQ
Q53.Light wave travelling in air along x-direction is given by $E_{y} = 540 sin π \times 1 0^{4} (x - c t) V m^{- 1}$ . Then, the peak value of magnetic field of wave will be (Given c = 3 $\times$ 108 ms $-$ 1)
Physics · Electromagnetic Waves · MCQ
Q54.When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on :
Physics · Alternating Current · MCQ
Q55.A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the points A and B will be: Includes diagram
Physics · Current Electricity · MCQ
Q56.The length of a seconds pendulum at a height h = 2R from earth surface will be: (Given R = Radius of earth and acceleration due to gravity at the surface of earth, g = $π$ 2 ms $-$ 2)
Physics · Gravitation · MCQ
Q57.Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is $2$ times the speed of sound, then the value of n will be :
Physics · Heat and Thermodynamics · MCQ
Q58.An object is taken to a height above the surface of earth at a distance $\frac{5}{4}$ R from the centre of the earth. Where radius of earth, R = 6400 km. The percentage decrease in the weight of the object will be :
Physics · Gravitation · MCQ
Q59.A bag of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with speed 10 ms $-$ 1 gets embedded in it, then loss of kinetic energy will be :
Physics · Work Power and Energy · MCQ
Q60.A ball is projected from the ground with a speed 15 ms $-$ 1 at an angle $θ$ with horizontal so that its range and maximum height are equal, then 'tan $θ$ ' will be equal to :
Physics · Motion in A Plane · MCQ
Q61.The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are $3%$ and $3%$ respectively. The maximum percentage error in the detection of the dissipated heat will be :
Physics · Units and Measurements · MCQ
Q62.Hydrogen atom from excited state comes to the ground state by emitting a photon of wavelength $λ$ . The value of principal quantum number ' $n$ ' of the excited state will be : ( $R :$ Rydberg constant)
Physics · Atoms and Nuclei · MCQ
Q63.A particle is moving in a straight line such that its velocity is increasing at 5 ms $-$ 1 per meter. The acceleration of the particle is ms $-$ 2 at a point where its velocity is 20 ms $-$ 1.
Physics · Motion in A Straight Line · Numerical
Q64.Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3 m each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of…
Physics · Center of Mass · Numerical
Q65.A block of ice of mass 120 g at temperature 0 $^{\circ}$ C is put in 300 g of water at 25 $^{\circ}$ C. The x g of ice melts as the temperature of the water reaches 0 $^{\circ}$ C. The value of x is . [Use specific heat…
Physics · Heat and Thermodynamics · Numerical
Q66. $\frac{x}{x + 4}$ is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) third permitted energy level to the second level and (ii) the highest permitted energy level to the second…
Physics · Atoms and Nuclei · Numerical
Q67.Two ideal diodes are connected in the network as shown in figure. The equivalent resistance between A and B is $Ω$ . Includes diagram
Physics · Electronic Devices · Numerical
Q68.Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18 V. The battery is then disconnected and the space between the plates of the capacitor of capacity C is…
Physics · Capacitor · Numerical
Q69.A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10 cm. A point object is placed on principal axis at a distance of 60 cm from…
Physics · Geometrical Optics · Numerical
Q70.Magnetic flux (in weber) in a closed circuit of resistance 20 $Ω$ varies with time t(s) at $ϕ$ = 8t2 $-$ 9t + 5. The magnitude of the induced current at t = 0.25 s will be mA.
Physics · Electromagnetic Induction · Numerical