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2022 · 29 Jun · Shift 2

70 questions · JEE Main

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2022 · 29 Jun · Shift 2

2022 · 29 Jun · Shift 2

70 questions · JEE Main

Chemistry23 questions Mathematics20 questions Physics27 questions

Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 2 questions Chemical EquilibriumChemistry · 2 questions Periodic Table and PeriodicityChemistry · 1 questions Coordination CompoundsChemistry · 1 questions P Block ElementsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions BiomoleculesChemistry · 1 questions Salt AnalysisChemistry · 1 questions ThermodynamicsChemistry · 1 questions SolutionsChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 2 questions Aldehydes Ketones and Carboxylic AcidsChemistry · 1 questions Quadratic Equation and InequalitiesMathematics · 1 questions Complex NumbersMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Definite IntegrationMathematics · 2 questions Differential EquationsMathematics · 2 questions CircleMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions Vector AlgebraMathematics · 2 questions ProbabilityMathematics · 1 questions StatisticsMathematics · 1 questions Sequences and SeriesMathematics · 1 questions Area Under the CurvesMathematics · 1 questions DifferentiationMathematics · 1 questions Binomial TheoremMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Matrices and DeterminantsMathematics · 1 questions FunctionsMathematics · 1 questions Motion in A Straight LinePhysics · 1 questions Heat and ThermodynamicsPhysics · 3 questions ElectrostaticsPhysics · 2 questions Geometrical OpticsPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions CapacitorPhysics · 1 questions MagneticsPhysics · 2 questions GravitationPhysics · 1 questions Simple Harmonic MotionPhysics · 1 questions Laws of MotionPhysics · 2 questions Work Power and EnergyPhysics · 1 questions Current ElectricityPhysics · 2 questions Motion in A PlanePhysics · 1 questions Units and MeasurementsPhysics · 1 questions Properties of MatterPhysics · 1 questions WavesPhysics · 1 questions Electronic DevicesPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Rotational MotionPhysics · 1 questions Wave OpticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions

Q1.Which of the following is the correct plot for the probability density $ψ^{2}$ (r) as a function of distance 'r' of the electron from the nucleus for 2s orbital?
Chemistry · Structure of Atom · MCQ
Q2.Consider the species $C H_{4}$ , NH $_{4}^{+}$ and BH $_{4}^{-}$ . Choose the correct option with respect to the these species.
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q3.4.0 moles of argon and 5.0 moles of $P C l_{5}$ are introduced into an evacuated flask of 100 litre capacity at 610 K. The system is allowed to equilibrate. At equilibrium, the total pressure of mixture was found to be 6.0 atm. The Kp for the…
Chemistry · Chemical Equilibrium · MCQ
Q4.Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : The first ionization enthalpy for oxygen is lower than that of nitrogen. Reason R : The four electrons in 2p orbitals of…
Chemistry · Periodic Table and Periodicity · MCQ
Q5.Given below are two statements. $∙$ Statement I : In $C u S O_{4}$ . 5 $H_{2} O$ , Cu-O bonds are present. $∙$ Statement II : In $C u S O_{4}$ . 5 $H_{2} O$ , ligands coordinating with Cu(II) ion are O-and S-based ligands. In the light of the…
Chemistry · Coordination Compounds · MCQ
Q6.Number of lone pair(s) of electrons on central atom and the shape $B r F_{3}$ molecule respectively, are
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q7.Sulphur dioxide is one of the components of polluted air. $S O_{2}$ is also a major contributor to acid rain. The correct and complete reaction to represent acid rain caused by $S O_{2}$ is :
Chemistry · P Block Elements · MCQ
Q8.Which of the following carbocations is most stable?
Chemistry · Basics of Organic Chemistry · MCQ
Q9.The stable carbocation formed in the above reaction is Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q10.Two isomers (A) and (B) with Molar mass 184 g/mol and elemental composition C, 52.2%; H, 4.9% and Br 42.9% gave benzoic acid and p-bromobenzoic acid, respectively on oxidation with $K M n O_{4}$ . Isomer 'A' is optically active and gives a pale…
Chemistry · Haloalkanes and Haloarenes · MCQ
Q11.In Friedel-Crafts alkylation of aniline, one gets
Chemistry · Compounds Containing Nitrogen · MCQ
Q12.The structure of protein that is unaffected by heating is
Chemistry · Biomolecules · MCQ
Q13.A white precipitate was formed when $B a C l_{2}$ was added to water extract of an inorganic salt. Further, a gas 'X' with characteristic odour was released when the formed white precipitate was dissolved in dilute $H C l$ . The anion present in…
Chemistry · Salt Analysis · MCQ
Q14.A box contains 0.90 g of liquid water in equilibrium with water vapour at 27 $^{\circ}$ C. The equilibrium vapour pressure of water at 27 $^{\circ}$ C is 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates…
Chemistry · Chemical Equilibrium · Numerical
Q15.2.2 g of nitrous oxide ( $N_{2} O$ ) gas is cooled at a constant pressure of 1 atm from 310 K to 270 K causing the compression of the gas from 217.1 mL to 167.75 mL. The change in internal energy of the process, $Δ$ U is ' $-$ x' J. The…
Chemistry · Thermodynamics · Numerical
Q16.Elevation in boiling point for 1.5 molal solution of glucose in water is 4 K. The depression in freezing point for 4.5 molal solution of glucose in water is 4 K. The ratio of molal elevation constant to molal depression constant (Kb/Kf) is…
Chemistry · Solutions · Numerical
Q17.The cell potential for the given cell at 298 K Pt| $H_{2}$ (g, 1 bar) | $H^{+}$ (aq) || $C u^{2 +}$ (aq) | Cu(s) is 0.31 V. The pH of the acidic solution is found to be 3, whereas the concentration of $C u^{2 +}$ is 10 $-$ x M. The value of x is …
Chemistry · Electrochemistry · Numerical
Q18.The equation k = (6.5 $\times$ 1012s $-$ 1)e $-$ 26000K/T is followed for the decomposition of compound A. The activation energy for the reaction is kJ mol $-$ 1. [nearest integer] (Given : R = 8.314 J K $-$ 1…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q19.Spin only magnetic moment of $[M n B r_{6}]^{4 -}$ is B.M. (round off to the closest integer)
Chemistry · D and F Block Elements · Numerical
Q20.For the reaction given below : $C o C l_{3}$ . x $N H_{3}$ + $A g N O_{3}$ (aq) $\to$ If two equivalents of $A g C l$ precipitate out, then the value of x will be .
Chemistry · D and F Block Elements · Numerical
Q21.The number of chiral alcohol(s) with molecular formula $C_{4} H_{10} O$ is .
Chemistry · Alcohols Phenols and Ethers · Numerical
Q22.In the given reaction, the number of sp2 hybridised carbon(s) in compound 'X' is . Includes diagram
Chemistry · Alcohols Phenols and Ethers · Numerical
Q23.In the given reaction, The number of $π$ electrons present in the product 'P' is . Includes diagram
Chemistry · Aldehydes Ketones and Carboxylic Acids · Numerical
Q24.Let $α$ be a root of the equation 1 + x2 + x4 = 0. Then, the value of $α$ 1011 + $α$ 2022 $- α$ 3033 is equal to :
Mathematics · Quadratic Equation and Inequalities · MCQ
Q25.Let arg(z) represent the principal argument of the complex number z. Then, |z| = 3 and arg(z $-$ 1) $-$ arg(z + 1) = $\frac{π}{4}$ intersect :
Mathematics · Complex Numbers · MCQ
Q26.The value of $x \to 1 lim \frac{( x ^{2} - 1 ) s i n ^{2} ( π x )}{x ^{4} - 2 x ^{3} + 2 x - 1}$ is equal to:
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.Let f be a real valued continuous function on [0, 1] and $f (x) = x + 0 \int 1 (x - t) f (t) d t$ . Then, which of the following points (x, y) lies on the curve y = f(x) ?
Mathematics · Definite Integration · MCQ
Q28.If $0 \int 2 (2 x - 2 x - x^{2}) d x = 0 \int 1 (1 - 1 - y^{2} - \frac{y ^{2}}{2}) d y + 1 \int 2 (2 - \frac{y ^{2}}{2}) d y + I$ , then I equals
Mathematics · Definite Integration · MCQ
Q29.If y = y(x) is the solution of the differential equation $(1 + e^{2 x}) \frac{d y}{d x} + 2 (1 + y^{2}) e^{x} = 0$ and y (0) = 0, then $6 (y^{'} (0) + (y (lo g_{e} 3))^{2})$ …
Mathematics · Differential Equations · MCQ
Q30.Let a triangle ABC be inscribed in the circle $x^{2} - 2 (x + y) + y^{2} = 0$ such that $∠ B A C = \frac{π}{2}$ . If the length of side AB is $2$ , then the area of the $Δ$ ABC is equal to :
Mathematics · Circle · MCQ
Q31.The distance of the origin from the centroid of the triangle whose two sides have the equations $x - 2 y + 1 = 0$ and $2 x - y - 1 = 0$ and whose orthocenter is $(\frac{7}{3}, \frac{7}{3})$ is :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q32.Let A, B, C be three points whose position vectors respectively are $a = i + 4 j + 3 k b = 2 i + α j + 4 k, α \in R c = 3 i - 2 j + 5 k$ …
Mathematics · Vector Algebra · MCQ
Q33.The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to :
Mathematics · Probability · MCQ
Q34.The number of values of a $\in$ N such that the variance of 3, 7, 12, a, 43 $-$ a is a natural number is :
Mathematics · Statistics · MCQ
Q35.Let $a = i - 2 j + 3 k$ , $b = i + j + k$ and $c$ be a vector such that $a + (b \times c) = 0$ …
Mathematics · Vector Algebra · Numerical
Q36.Let y = y(x), x > 1, be the solution of the differential equation $(x - 1) \frac{d y}{d x} + 2 x y = \frac{1}{x - 1}$ , with $y (2) = \frac{1 + e ^{4}}{2 e ^{4}}$ . If $y (3) = \frac{e ^{α} + 1}{β e ^{α}}$ , then the…
Mathematics · Differential Equations · Numerical
Q37.Let 3, 6, 9, 12, ....... upto 78 terms and 5, 9, 13, 17, ...... upto 59 terms be two series. Then, the sum of the terms common to both the series is equal to .
Mathematics · Sequences and Series · Numerical
Q38.For real numbers a, b (a > b > 0), let Area ${(x, y) : x^{2} + y^{2} \leq a^{2} an d \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \geq 1} = 30 π$ and Area ${(x, y) : x^{2} + y^{2} \leq b^{2} an d \frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{b ^{2}} \leq 1} = 18 π$ …
Mathematics · Area Under the Curves · Numerical
Q39.Let f and g be twice differentiable even functions on ( $-$ 2, 2) such that $f (\frac{1}{4}) = 0$ , $f (\frac{1}{2}) = 0$ , $f (1) = 1$ and $g (\frac{3}{4}) = 0$ , $g (1) = 2$ . Then, the minimum…
Mathematics · Differentiation · Numerical
Q40.Let the coefficients of x $-$ 1 and x $-$ 3 in the expansion of $(2 x^{\frac{1}{5}} - \frac{1}{x ^{\frac{1}{5}}})^{15}, x > 0$ , be m and n respectively. If r is a positive integer such that $m n^{2} =^{15} C_{r} . 2^{r}$ …
Mathematics · Binomial Theorem · Numerical
Q41.The total number of four digit numbers such that each of first three digits is divisible by the last digit, is equal to .
Mathematics · Permutations and Combinations · Numerical
Q42.Let $M = [0 α - α 0]$ , where $α$ is a non-zero real number an $N = k = 1 \sum 49 M^{2 k}$ . If $(I - M^{2}) N = - 2 I$ , then the positive…
Mathematics · Matrices and Determinants · Numerical
Q43.Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If $f (g (x)) = 8 x^{2} - 2 x$ and $g (f (x)) = 4 x^{2} + 6 x + 1$ , then the value of $f (2) + g (2)$ is .
Mathematics · Functions · Numerical
Q44.A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10m in t s, the distance travelled by the toy in the next t s will be :
Physics · Motion in A Straight Line · MCQ
Q45.At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm ? Both the diameters have been measured at room temperature (27 $^{\circ}$ C). (Given : coefficient of linear…
Physics · Heat and Thermodynamics · MCQ
Q46.Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is :
Physics · Electrostatics · MCQ
Q47.The speed of light in media 'A' and 'B' are $2.0 \times 1 0^{10}$ cm/s and $1.5 \times 1 0^{10}$ cm/s respectively. A ray of light enters from the medium B to A at an incident angle ' $θ$ '. If the ray suffers total internal…
Physics · Geometrical Optics · MCQ
Q48.The electric field at a point associated with a light wave is given by E = 200 [sin (6 $\times$ 1015)t + sin (9 $\times$ 1015)t] Vm $-$ 1 Given : h = 4.14 $\times$ 10 $-$ 15 eVs If this light falls on a metal surface having a work function…
Physics · Dual Nature of Radiation · MCQ
Q49.A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half of its initial value and in time t2, the charge stored reduces to one eighth of its initial value. The ratio t1/t2…
Physics · Capacitor · MCQ
Q50.Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work done by the gas is W1 if the process is purely isothermal, W2, if the process is purely adiabatic and W3 if the process…
Physics · Heat and Thermodynamics · MCQ
Q51.Two long current carrying conductors are placed to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 300 $μ$ T. The equal…
Physics · Magnetics · MCQ
Q52.The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be
Physics · Gravitation · MCQ
Q53.The motion of a simple pendulum executing S.H.M. is represented by the following equation. $y = A sin (π t + ϕ)$ , where time is measured in second. The length of pendulum is
Physics · Simple Harmonic Motion · MCQ
Q54.A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm3 is :
Physics · Heat and Thermodynamics · MCQ
Q55.Given below are two statements : Statement I : The electric force changes the speed of the charged particle and hence changes its kinetic energy; whereas the magnetic force does not change the kinetic energy of the charged particle.…
Physics · Magnetics · MCQ
Q56.A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is… Includes diagram
Physics · Laws of Motion · MCQ
Q57.In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is Includes diagram
Physics · Work Power and Energy · MCQ
Q58.A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be
Physics · Laws of Motion · MCQ
Q59.If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be :
Physics · Electrostatics · MCQ
Q60.The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of 2 $Ω$ . The value of internal resistance of each cell is
Physics · Current Electricity · MCQ
Q61.A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?
Physics · Motion in A Plane · MCQ
Q62.The Vernier constant of Vernier callipers is 0.1 mm and it has zero error of ( $-$ 0.05) cm. While measuring diameter of a sphere, the main scale reading is 1.7 cm and coinciding vernier division is 5. The corrected diameter will be $\times$ …
Physics · Units and Measurements · Numerical
Q63.A small spherical ball of radius 0.1 mm and density 104 kg m $-$ 3 falls freely under gravity through a distance h before entering a tank of water. If, after entering the water the velocity of ball does not change and it continue to fall…
Physics · Properties of Matter · Numerical
Q64.In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz is used. The velocity…
Physics · Waves · Numerical
Q65.Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance 2000 $Ω$ is used to measure the potential difference across 500 $Ω$ resistor, the reading of the voltmeter will be … Includes diagram
Physics · Current Electricity · Numerical
Q66.A potential barrier of 0.4 V exists across a p-n junction. An electron enters the junction from the n-side with a speed of 6.0 $\times$ 105 ms $-$ 1. The speed with which electron enters the p side will be $\frac{x}{3} \times 1 0^{5}$ ms…
Physics · Electronic Devices · Numerical
Q67.The displacement current of 4.425 $μ$ A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106 Vs $-$ 1. The area of each plate of the capacitor is 40 cm2. The distance between…
Physics · Electromagnetic Waves · Numerical
Q68.The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is I1. The same rod is bent into a ring and its moment of inertia about a diameter is I2. If $\frac{I _{1}}{I _{2}}$ is ${{x{\pi ^2}} \over…
Physics · Rotational Motion · Numerical
Q69.In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by 5 $\times$ 10 $-$ 2 m towards the slits, the change in fringe width is 3 $\times$ …
Physics · Wave Optics · Numerical
Q70.An inductor of 0.5 mH, a capacitor of 200 $μ$ F and a resistor of 2 $Ω$ are connected in series with a 220 V ac source. If the current is in phase with the emf, the frequency of ac source will be $\times$ …
Physics · Alternating Current · Numerical