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2022 · 24 Jun · Shift 2

70 questions · JEE Main

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2022 · 24 Jun · Shift 2

2022 · 24 Jun · Shift 2

70 questions · JEE Main

Chemistry21 questions Mathematics24 questions Physics25 questions

Some Basic Concepts of ChemistryChemistry · 1 questions Structure of AtomChemistry · 1 questions Chemical Bonding and Molecular StructureChemistry · 1 questions ThermodynamicsChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions D and F Block ElementsChemistry · 2 questions P Block ElementsChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Basics of Organic ChemistryChemistry · 1 questions HydrocarbonsChemistry · 2 questions Alcohols Phenols and EthersChemistry · 1 questions Compounds Containing NitrogenChemistry · 1 questions Salt AnalysisChemistry · 1 questions SolutionsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Practical Organic ChemistryChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions BiomoleculesChemistry · 1 questions Inverse Trigonometric FunctionsMathematics · 1 questions Quadratic Equation and InequalitiesMathematics · 2 questions Matrices and DeterminantsMathematics · 2 questions Sequences and SeriesMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions Definite IntegrationMathematics · 1 questions ParabolaMathematics · 2 questions EllipseMathematics · 1 questions Straight Lines and Pair of Straight LinesMathematics · 1 questions ProbabilityMathematics · 1 questions 3D GeometryMathematics · 1 questions Vector AlgebraMathematics · 1 questions DifferentiationMathematics · 1 questions Application of DerivativesMathematics · 1 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 1 questions Sets and RelationsMathematics · 1 questions Binomial TheoremMathematics · 1 questions Area Under the CurvesMathematics · 1 questions CircleMathematics · 1 questions HyperbolaMathematics · 1 questions Units and MeasurementsPhysics · 1 questions GravitationPhysics · 1 questions Circular MotionPhysics · 2 questions ElectrostaticsPhysics · 2 questions Simple Harmonic MotionPhysics · 1 questions Current ElectricityPhysics · 1 questions Magnetic Properties of MatterPhysics · 1 questions MagneticsPhysics · 1 questions Alternating CurrentPhysics · 1 questions Properties of MatterPhysics · 1 questions Laws of MotionPhysics · 1 questions Heat and ThermodynamicsPhysics · 2 questions CapacitorPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Dual Nature of RadiationPhysics · 1 questions Wave OpticsPhysics · 1 questions Atoms and NucleiPhysics · 1 questions Motion in A PlanePhysics · 1 questions WavesPhysics · 1 questions Electronic DevicesPhysics · 1 questions Geometrical OpticsPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions

Q1.120 g of an organic compound that contains only carbon and hydrogen gives 330 g of $C O_{2}$ and 270 g of water on complete combustion. The percentage of carbon and hydrogen, respectively are
Chemistry · Some Basic Concepts of Chemistry · MCQ
Q2.The energy of one mole of photons of radiation of wavelength 300 nm is (Given : h = 6.63 $\times$ 10 $-$ 34 J s, NA = 6.02 $\times$ 1023 mol $-$ 1, c = 3 $\times$ 108 m s $-$ 1)
Chemistry · Structure of Atom · MCQ
Q3.The correct order of bond orders of $C_{2}^{2 -}$ , $N_{2}^{2 -}$ and $O_{2}^{2 -}$ is, respectively
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4.At 25 $^{\circ}$ C and 1 atm pressure, the enthalpies of combustion are as given below : The enthalpy of formation of ethane is Includes table
Chemistry · Thermodynamics · MCQ
Q5.For a first order reaction, the time required for completion of 90% reaction is 'x' times the half life of the reaction. The value of 'x' is (Given : ln 10 = 2.303 and log 2 = 0.3010)
Chemistry · Chemical Kinetics and Nuclear Chemistry · MCQ
Q6.Metals generally melt at very high temperature. Amongst the following, the metal with the highest melting point will be :
Chemistry · D and F Block Elements · MCQ
Q7. $P C l_{5}$ is well known, but $N C l_{5}$ is not. because,
Chemistry · P Block Elements · MCQ
Q8.Transition metal complex with highest value of crystal field splitting ( $Δ$ 0) will be :
Chemistry · Coordination Compounds · MCQ
Q9.Arrange the following carbocations in decreasing order of stability. Includes diagram
Chemistry · Basics of Organic Chemistry · MCQ
Q10.Given below are two statements : Statement I : The presence of weaker $π$ -bonds make alkenes less stable than alkanes. Statement II : The strength of the double bond is greater than that of carbon-carbon single bond. In the light of the…
Chemistry · Hydrocarbons · MCQ
Q11.Which of the following reagents / reactions will convert 'A' to 'B' ? Includes diagram
Chemistry · Hydrocarbons · MCQ
Q12.Hex-4-ene-2-ol on treatment with PCC gives 'A'. 'A' on reaction with sodium hypoiodite gives 'B', which on further heating with soda lime gives 'C'. The compound 'C' is :
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.The conversion of propan-1-ol to n-butylamine involves the sequential addition of reagents. The correct sequential order of reagents is
Chemistry · Compounds Containing Nitrogen · MCQ
Q14.In the flame test of a mixture of salts, a green flame with blue centre was observed. Which one of the following cations may be present?
Chemistry · Salt Analysis · MCQ
Q15.A company dissolves 'x' amount of $C O_{2}$ at 298 K in 1 litre of water to prepare soda water. X = $\times$ 10 $-$ 3 g. (nearest integer) (Given : partial pressure of $C O_{2}$ at 298 K = 0.835 bar. Henry's law constant…
Chemistry · Solutions · Numerical
Q16. $P C l_{5}$ dissociates as $P C l_{5}$ (g) $⇌$ $P C l_{3}$ (g) + $C l_{2}$ (g) 5 moles of $P C l_{5}$ are placed in a 200 litre vessel which contains 2 moles of $N_{2}$ and is maintained at 600 K. The equilibrium pressure is 2.46 atm. The…
Chemistry · Chemical Equilibrium · Numerical
Q17.The resistance of a conductivity cell containing 0.01 M KCl solution at 298 K is 1750 $Ω$ . If the conductivity of 0.01 M KCl solution at 298 K is 0.152 $\times$ 10 $-$ 3 S cm $-$ 1, then the cell constant of the conductivity cell is $\times$ …
Chemistry · Electrochemistry · Numerical
Q18.Manganese (VI) has ability to disproportionate in acidic solution. The difference in oxidation states of two ions it forms in acidic solution is .
Chemistry · D and F Block Elements · Numerical
Q19.0.2 g of an organic compound was subjected to estimation of nitrogen by Dumas method in which volume of $N_{2}$ evolved (at STP) was found to be 22.400 mL. The percentage of nitrogen in the compound is . [nearest…
Chemistry · Practical Organic Chemistry · Numerical
Q20.Consider the above reaction. The number of $π$ electrons present in the product 'P' is . Includes diagram
Chemistry · Haloalkanes and Haloarenes · Numerical
Q21.In alanylglycyl leucyl alanyl valine, the number of peptide linkages is .
Chemistry · Biomolecules · Numerical
Q22.Let $x * y = x^{2} + y^{3}$ and $(x * 1) * 1 = x * (1 * 1)$ . Then a value of $2 sin^{- 1} (\frac{x ^{4} + x ^{2} - 2}{x ^{4} + x ^{2} + 2})$ is :
Mathematics · Inverse Trigonometric Functions · MCQ
Q23.The sum of all the real roots of the equation $(e^{2 x} - 4) (6 e^{2 x} - 5 e^{x} + 1) = 0$ is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q24.Let the system of linear equations x + y + $α$ z = 2 3x + y + z = 4 x + 2z = 1 have a unique solution (x $^{*}$ , y $^{*}$ , z $^{*}$ ). If ( $α$ , x $^{*}$ ), (y $^{*}$ , $α$ ) and (x $^{*}$ , $-$ y $^{*}$ ) are collinear points, then the…
Mathematics · Matrices and Determinants · MCQ
Q25.Let x, y > 0. If x3y2 = 215, then the least value of 3x + 2y is
Mathematics · Sequences and Series · MCQ
Q26.Let $f (x) = ⎩ ⎨ ⎧ \frac{sin ( x - [ x ])}{x - [ x ]} max {2 x, 3 [∣ x ∣]} 1, x \in (- 2, - 1), ∣ x ∣ < 1, otherwise$ where $[t]$ denotes greatest integer $m$ . If $m$ …
Mathematics · Limits Continuity and Differentiability · MCQ
Q27.The value of the integral $- π /2 \int π /2 \frac{d x}{( 1 + e ^{x} ) ( s i n ^{6} x + c o s ^{6} x )}$ is equal to
Mathematics · Definite Integration · MCQ
Q28.A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with :
Mathematics · Parabola · MCQ
Q29.Let the maximum area of the triangle that can be inscribed in the ellipse $\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{4} = 1, a > 2$ , having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel…
Mathematics · Ellipse · MCQ
Q30.Let the area of the triangle with vertices A(1, $α$ ), B( $α$ , 0) and C(0, $α$ ) be 4 sq. units. If the points ( $α$ , $- α$ ), ( $- α$ , $α$ ) and ( $α$ 2, $β$ ) are collinear, then $β$ is equal to :
Mathematics · Straight Lines and Pair of Straight Lines · MCQ
Q31.The number of distinct real roots of the equation x7 $-$ 7x $-$ 2 = 0 is
Mathematics · Quadratic Equation and Inequalities · MCQ
Q32.A random variable X has the following probability distribution : The value of P(1 < X < 4 | X $\leq$ 2) is equal to : Includes table
Mathematics · Probability · MCQ
Q33.If the shortest distance between the lines $\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{λ}$ and $\frac{x - 2}{1} = \frac{y - 4}{4} = \frac{z - 5}{5}$ is $\frac{1}{3}$ , then the sum of all possible value…
Mathematics · 3D Geometry · MCQ
Q34.Let $a$ and $b$ be two unit vectors such that $∣ (a + b) + 2 (a \times b) ∣ = 2$ . If $θ \in$ (0, $π$ ) is the angle between $a$ and $b$ , then among the statements :…
Mathematics · Vector Algebra · MCQ
Q35.If $y = tan^{- 1} (sec x^{3} - tan x^{3}), \frac{π}{2} < x^{3} < \frac{3 π}{2}$ , then
Mathematics · Differentiation · MCQ
Q36.Let $λ^{*}$ be the largest value of $λ$ for which the function $f_{λ} (x) = 4 λ x^{3} - 36 λ x^{2} + 36 x + 48$ is increasing for all x $\in$ R. Then $f_{λ^{*}} (1) + f_{λ^{*}} (- 1)$ is…
Mathematics · Application of Derivatives · MCQ
Q37.Let S = {z $\in$ C : |z $-$ 3| $\leq$ 1 and z(4 + 3i) + $\overline{z}$ (4 $-$ 3i) $\leq$ 24}. If $α$ + i $β$ is the point in S which is closest to 4i, then 25( $α$ + $β$ ) is equal to .
Mathematics · Complex Numbers · Numerical
Q38.Let $S = {(- 1 0 a b); a, b \in {1, 2, 3, ....100}}$ and let $T_{n} = {A \in S : A^{n (n + 1)} = I}$ . Then the number of elements in $n = 1 ⋂ 100 T_{n}$ …
Mathematics · Matrices and Determinants · Numerical
Q39.The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is .
Mathematics · Permutations and Combinations · Numerical
Q40.The sum of all the elements of the set ${α \in {1, 2, ....., 100} : H C F (α, 24) = 1}$ is .
Mathematics · Sets and Relations · Numerical
Q41.The remainder on dividing 1 + 3 + 32 + 33 + ..... + 32021 by 50 is .
Mathematics · Binomial Theorem · Numerical
Q42.The area (in sq. units) of the region enclosed between the parabola y2 = 2x and the line x + y = 4 is .
Mathematics · Area Under the Curves · Numerical
Q43.Let a circle C : (x $-$ h)2 + (y $-$ k)2 = r2, k > 0, touch the x-axis at (1, 0). If the line x + y = 0 intersects the circle C at P and Q such that the length of the chord PQ is 2, then the value of h + k + r is equal to …
Mathematics · Circle · Numerical
Q44.Let the hyperbola $H : \frac{x ^{2}}{a ^{2}} - y^{2} = 1$ and the ellipse $E : 3 x^{2} + 4 y^{2} = 12$ be such that the length of latus rectum of H is equal to the length of latus rectum of E. If $e_{H}$ and $e_{E}$ are the eccentricities of H…
Mathematics · Hyperbola · Numerical
Q45.Let P1 be a parabola with vertex (3, 2) and focus (4, 4) and P2 be its mirror image with respect to the line x + 2y = 6. Then the directrix of P2 is x + 2y = .
Mathematics · Parabola · Numerical
Q46.Identify the pair of physical quantities that have same dimensions:
Physics · Units and Measurements · MCQ
Q47.The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :
Physics · Gravitation · MCQ
Q48.A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is
Physics · Circular Motion · MCQ
Q49.Two identical charged particles each having a mass 10 g and charge 2.0 $\times$ 10 $-$ 7C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction…
Physics · Electrostatics · MCQ
Q50.Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will…
Physics · Simple Harmonic Motion · MCQ
Q51.What will be the most suitable combination of three resistors A = 2 $Ω$ , B = 4 $Ω$ , C = 6 $Ω$ so that $(\frac{22}{3})$ $Ω$ is equivalent resistance of combination?
Physics · Current Electricity · MCQ
Q52.The soft-iron is a suitable material for making an electromagnet. This is because soft-iron has
Physics · Magnetic Properties of Matter · MCQ
Q53.A proton, a deutron and an $α$ -particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is :
Physics · Magnetics · MCQ
Q54.Given below are two statements : Statement I : The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor. Statement II : In ac circuit, the average power delivered by the source never…
Physics · Alternating Current · MCQ
Q55.Potential energy as a function of r is given by $U = \frac{A}{r ^{10}} - \frac{B}{r ^{5}}$ , where r is the interatomic distance, A and B are positive constants. The equilibrium distance between the two atoms will be :
Physics · Properties of Matter · MCQ
Q56.An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to : [Use g = 10 ms…
Physics · Laws of Motion · MCQ
Q57.A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be :
Physics · Circular Motion · MCQ
Q58.A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms $-$ 1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail? [Specific heat capacity of iron =…
Physics · Heat and Thermodynamics · MCQ
Q59.If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)
Physics · Capacitor · MCQ
Q60.A long cylindrical volume contains a uniformly distributed charge of density $ρ$ . The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic energy of the particle is :
Physics · Electrostatics · MCQ
Q61.An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiations coming from this bulb? Consider this bulb as a point source with 3.5% efficiency.
Physics · Electromagnetic Waves · MCQ
Q62.The light of two different frequencies whose photons have energies 3.8 eV and 1.4 eV respectively, illuminate a metallic surface whose work function is 0.6 eV successively. The ratio of maximum speeds of emitted electrons for the two…
Physics · Dual Nature of Radiation · MCQ
Q63.Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be :
Physics · Wave Optics · MCQ
Q64.In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level :
Physics · Atoms and Nuclei · MCQ
Q65.A body is projected from the ground at an angle of 45 $^{\circ}$ with the horizontal. Its velocity after 2s is 20 ms $-$ 1. The maximum height reached by the body during its motion is m. (use g = 10 ms $-$ 2)
Physics · Motion in A Plane · Numerical
Q66.Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by $y = (10 cos π x sin \frac{2 π t}{T})$ cm The amplitude…
Physics · Waves · Numerical
Q67.In the given circuit, the value of current IL will be mA. (When RL = 1k $Ω$ ) Includes diagram
Physics · Electronic Devices · Numerical
Q68.A ray of light is incident at an angle of incidence 60 $^{\circ}$ on the glass slab of refractive index $3$ . After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray…
Physics · Geometrical Optics · Numerical
Q69.A circular coil of 1000 turns each with area 1m2 is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0.07T. The maximum voltage generation will be …
Physics · Electromagnetic Induction · Numerical
Q70.A monoatomic gas performs a work of $\frac{Q}{4}$ where Q is the heat supplied to it. The molar heat capacity of the gas will be R during this transformation. Where R is the gas constant.
Physics · Heat and Thermodynamics · Numerical