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2022 · 25 Jun · Shift 1

70 questions · JEE Main

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2022 · 25 Jun · Shift 1

2022 · 25 Jun · Shift 1

70 questions · JEE Main

Chemistry23 questions Mathematics20 questions Physics27 questions

Chemical Bonding and Molecular StructureChemistry · 2 questions Structure of AtomChemistry · 2 questions P Block ElementsChemistry · 1 questions D and F Block ElementsChemistry · 2 questions Basics of Organic ChemistryChemistry · 3 questions HydrocarbonsChemistry · 1 questions Haloalkanes and HaloarenesChemistry · 1 questions Alcohols Phenols and EthersChemistry · 2 questions Compounds Containing NitrogenChemistry · 1 questions Some Basic Concepts of ChemistryChemistry · 3 questions ThermodynamicsChemistry · 1 questions Chemical EquilibriumChemistry · 1 questions ElectrochemistryChemistry · 1 questions Chemical Kinetics and Nuclear ChemistryChemistry · 1 questions Coordination CompoundsChemistry · 1 questions Definite IntegrationMathematics · 1 questions FunctionsMathematics · 3 questions Matrices and DeterminantsMathematics · 2 questions DifferentiationMathematics · 1 questions Binomial TheoremMathematics · 1 questions Limits Continuity and DifferentiabilityMathematics · 1 questions ProbabilityMathematics · 1 questions Differential EquationsMathematics · 3 questions Vector AlgebraMathematics · 2 questions ParabolaMathematics · 1 questions Complex NumbersMathematics · 1 questions Permutations and CombinationsMathematics · 2 questions CircleMathematics · 1 questions Units and MeasurementsPhysics · 1 questions Vector AlgebraPhysics · 2 questions Rotational MotionPhysics · 1 questions GravitationPhysics · 1 questions Properties of MatterPhysics · 2 questions Heat and ThermodynamicsPhysics · 1 questions ElectrostaticsPhysics · 1 questions Alternating CurrentPhysics · 2 questions MagneticsPhysics · 1 questions Electromagnetic WavesPhysics · 1 questions Wave OpticsPhysics · 1 questions Geometrical OpticsPhysics · 2 questions Atoms and NucleiPhysics · 1 questions Electronic DevicesPhysics · 1 questions Current ElectricityPhysics · 3 questions Work Power and EnergyPhysics · 2 questions WavesPhysics · 1 questions CapacitorPhysics · 1 questions Electromagnetic InductionPhysics · 1 questions Laws of MotionPhysics · 1 questions

Q1.Bonding in which of the following diatomic molecule(s) become(s) stronger, on the basis of MO Theory, by removal of an electron? (A) $N O$ (B) $N_{2}$ (C) $O_{2}$ (D) $C_{2}$ (E) $B_{2}$ Choose the most appropriate answer from the options given…
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q2.The pair, in which ions are isoelectronic with $A l^{3 +}$ is :
Chemistry · Structure of Atom · MCQ
Q3.Number of electron deficient molecules among the following $P H_{3}$ , $B_{2} H_{6}$ , $C C l_{4}$ , $N H_{3}$ , $L i H$ and $B C l_{3}$ is
Chemistry · Chemical Bonding and Molecular Structure · MCQ
Q4.White precipitate of AgCl dissolves in aqueous ammonia solution due to formation of :
Chemistry · P Block Elements · MCQ
Q5.Cerium (IV) has a noble gas configuration. Which of the following is correct statement about it?
Chemistry · D and F Block Elements · MCQ
Q6.Among the following, which is the strongest oxidizing agent?
Chemistry · D and F Block Elements · MCQ
Q7.Phenol on reaction with dilute nitric acid, gives two products. Which method will be most efficient for large scale separation?
Chemistry · Basics of Organic Chemistry · MCQ
Q8.In the following structures, which on is having staggered conformation with maximum dihedral angle?
Chemistry · Basics of Organic Chemistry · MCQ
Q9.The product formed in the following reaction. Includes diagram
Chemistry · Hydrocarbons · MCQ
Q10.The IUPAC name of ethylidene chloride is :
Chemistry · Basics of Organic Chemistry · MCQ
Q11.The major product in the reaction Includes diagram
Chemistry · Haloalkanes and Haloarenes · MCQ
Q12.The intermediate X, in the reaction : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q13.In the following reaction : The compounds A and B respectively are : Includes diagram
Chemistry · Alcohols Phenols and Ethers · MCQ
Q14.The reaction of with bromine and $K O H$ gives $R N H_{2}$ as the end product. Which one of the following is the intermediate product formed in this reation? Includes diagram
Chemistry · Compounds Containing Nitrogen · MCQ
Q15.The number of N atoms in 681 g of $C_{7} H_{5} N_{3} O_{6}$ is x $\times$ 1021. The value of x is (NA = 6.02 $\times$ 1023 mol $-$ 1) (Nearest Integer)
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q16.The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x $\times$ 10 $-$ 8 m. The value of x is . (Nearest Integer). (Given : Energy of the electron in the…
Chemistry · Structure of Atom · Numerical
Q17.The standard entropy change for the reaction 4 $F e$ (s) + 3 $O_{2}$ (g) $\to$ 2 $F e_{2} O_{3}$ (s) is $-$ 550 J K $-$ 1 at 298 K. [Given : The standard enthalpy change for the reaction is $-$ 165 kJ mol $-$ 1]. The temperature in K at which the…
Chemistry · Thermodynamics · Numerical
Q18.1 L aqueous solution of $H_{2} S O_{4}$ contains 0.02 m mol $H_{2} S O_{4}$ . 50% of this solution is diluted with deionized water to give 1 L solution (A). In solution (A), 0.01 m mol of $H_{2} S O_{4}$ are added. Total m mols of $H_{2} S O_{4}$ in the final…
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q19.The standard free energy change ( $Δ$ G $^{\circ}$ ) for 50% dissociation of $N_{2} O_{4}$ into $N O_{2}$ at 27 $^{\circ}$ C and 1 atm pressure is $-$ x J mol $-$ 1. The value of x is . (Nearest Integer) [Given : R = 8.31…
Chemistry · Chemical Equilibrium · Numerical
Q20.In a cell, the following reactions take place $F e^{2 +} \to F e^{3 +} + e^{-} 2 I^{-} \to I_{2} + 2 e^{-} E_{F e^{3 +} / F e^{2 +}}^{o} = 0.77 V E_{I_{2} / I^{-}}^{o} = 0.54 V$ …
Chemistry · Electrochemistry · Numerical
Q21.For a given chemical reaction $γ$ 1A + $γ$ 2B $γ$ 3C + $γ$ 4D Concentration of C changes from 10 mmol dm $-$ 3 to 20 mmol dm $-$ 3 in 10 seconds. Rate of appearance of D is 1.5 times the rate of disappearance of B…
Chemistry · Chemical Kinetics and Nuclear Chemistry · Numerical
Q22.If $[C u (H_{2} O)_{4}]^{2 +}$ absorbs a light of wavelength 600 nm for d-d transition, then the value of octahedral crystal field splitting energy for $[C u (H_{2} O)_{6}]^{2 +}$ will be $\times$ 10 $-$ 21 J. [Nearest Integer]…
Chemistry · Coordination Compounds · Numerical
Q23.Number of grams of bromine that will completely react with 5.0 g of pent-1-ene is $\times$ 10 $-$ 2 g. (Atomic mass of Br = 80 g/mol) [Nearest Integer]
Chemistry · Some Basic Concepts of Chemistry · Numerical
Q24.The value of $0 \int π \frac{e ^{c o s x} s i n x}{( 1 + c o s ^{2} x ) ( e ^{c o s x} + e ^{- c o s x} )} d x$ is equal to:
Mathematics · Definite Integration · MCQ
Q25.Let f : N $\to$ R be a function such that $f (x + y) = 2 f (x) f (y)$ for natural numbers x and y. If f(1) = 2, then the value of $α$ for which $k = 1 \sum 10 f (α + k) = \frac{512}{3} (2^{20} - 1)$ holds, is :
Mathematics · Functions · MCQ
Q26.Let A be a 3 $\times$ 3 real matrix such that $A 110 = 110; A 101 = - 1 01$ …
Mathematics · Matrices and Determinants · MCQ
Q27.Let f : R $\to$ R be defined as $f (x) = x^{3} + x - 5$ . If g(x) is a function such that $f (g (x)) = x, \forall^{'} x^{'} \in R$ , then g'(63) is equal to .
Mathematics · Differentiation · MCQ
Q28.If $\frac{1}{2 . 3 ^{10}} + \frac{1}{2 ^{2} . 3 ^{9}} + ..... + \frac{1}{2 ^{10} . 3} = \frac{K}{2 ^{10} . 3 ^{10}}$ , then the remainder when K is divided by 6 is :
Mathematics · Binomial Theorem · MCQ
Q29.Let f(x) be a polynomial function such that $f (x) + f^{'} (x) + f^{''} (x) = x^{5} + 64$ . Then, the value of $x \to 1 lim \frac{f ( x )}{x - 1}$ is equal to:
Mathematics · Limits Continuity and Differentiability · MCQ
Q30.Let E1 and E2 be two events such that the conditional probabilities $P (E_{1} ∣ E_{2}) = \frac{1}{2}$ , $P (E_{2} ∣ E_{1}) = \frac{3}{4}$ and $P (E_{1} \cap E_{2}) = \frac{1}{8}$ . Then :
Mathematics · Probability · MCQ
Q31.Let $A = [02 - 2 0]$ . If M and N are two matrices given by $M = k = 1 \sum 10 A^{2 k}$ and $N = k = 1 \sum 10 A^{2 k - 1}$ then MN2 is :
Mathematics · Matrices and Determinants · MCQ
Q32.Let $g : (0, \infty) \to R$ be a differentiable function such that $\int (\frac{x ( c o s x - s i n x )}{e ^{x} + 1} + \frac{g ( x ) ( e ^{x} + 1 - x e ^{x} )}{( e ^{x} + 1 ) ^{2}}) d x = \frac{x g ( x )}{e ^{x} + 1} + c$ …
Mathematics · Differential Equations · MCQ
Q33.Let $f : R \to R$ and $g : R \to R$ be two functions defined by $f (x) = lo g_{e} (x^{2} + 1) - e^{- x} + 1$ and $g (x) = \frac{1 - 2 e ^{2 x}}{e ^{x}}$ . Then, for which of the following range of $α$ , the inequality $f (g (\frac{( α - 1 ) ^{2}}{3})) > f (g (α - \frac{5}{3}))$ …
Mathematics · Functions · MCQ
Q34.Let $a = a_{1} i + a_{2} j + a_{3} k$ $a_{i} > 0$ , $i = 1, 2, 3$ be a vector which makes equal angles with the coordinate axes OX, OY and OZ. Also, let the projection of $a$ on the…
Mathematics · Vector Algebra · MCQ
Q35.Let $y = y (x)$ be the solution of the differential equation $(x + 1) y^{'} - y = e^{3 x} (x + 1)^{2}$ , with $y (0) = \frac{1}{3}$ . Then, the point $x = - \frac{4}{3}$ for the curve $y = y (x)$ is :
Mathematics · Differential Equations · MCQ
Q36.If the solution curve $y = y (x)$ of the differential equation $y^{2} d x + (x^{2} - x y + y^{2}) d y = 0$ , which passes through the point (1, 1) and intersects the line $y = 3 x$ at the point $(α, 3 α)$ , then value of $lo g_{e} (3 α)$ …
Mathematics · Differential Equations · MCQ
Q37.Let $x = 2 t$ , $y = \frac{t ^{2}}{3}$ be a conic. Let S be the focus and B be the point on the axis of the conic such that $S A ⊥ B A$ , where A is any point on the conic. If k is the ordinate of the centroid of the $Δ$ SAB, then $t \to 1 lim k$ …
Mathematics · Parabola · MCQ
Q38.Let a circle C in complex plane pass through the points $z_{1} = 3 + 4 i$ , $z_{2} = 4 + 3 i$ and $z_{3} = 5 i$ . If $z (e z_{1})$ is a point on C such that the line through z and z1 is perpendicular to the line through z2 and z3, then $a r g (z)$ …
Mathematics · Complex Numbers · MCQ
Q39.The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is .
Mathematics · Permutations and Combinations · Numerical
Q40.Let $θ$ be the angle between the vectors $a$ and $b$ , where $∣ a ∣ = 4, ∣ b ∣ = 3$ and $θ \in (\frac{π}{4}, \frac{π}{3})$ . Then $(a - b) \times (a + b)^{2} + 4 (a . b)^{2}$ …
Mathematics · Vector Algebra · Numerical
Q41.Let the abscissae of the two points P and Q be the roots of $2 x^{2} - r x + p = 0$ and the ordinates of P and Q be the roots of $x^{2} - s x - q = 0$ . If the equation of the circle described on PQ as diameter is $2 (x^{2} + y^{2}) - 11 x - 14 y - 22 = 0$ …
Mathematics · Circle · Numerical
Q42.Let $f : R \to R$ be a function defined by $f (x) = (2 (1 - \frac{x ^{25}}{2}) (2 + x^{25}))^{\frac{1}{50}}$ . If the function $g (x) = f (f (f (x))) + f (f (x))$ , then the greatest integer less than or equal…
Mathematics · Functions · Numerical
Q43.Let A be a 3 $\times$ 3 matrix having entries from the set { $-$ 1, 0, 1}. The number of all such matrices A having sum of all the entries equal to 5, is .
Mathematics · Permutations and Combinations · Numerical
Q44.If $Z = \frac{A ^{2} B ^{3}}{C ^{4}}$ , then the relative error in Z will be :
Physics · Units and Measurements · MCQ
Q45. $A$ is a vector quantity such that $∣ A ∣$ = non-zero constant. Which of the following expression is true for $A$ ?
Physics · Vector Algebra · MCQ
Q46.Which of the following relations is true for two unit vector $A$ and $B$ making an angle $θ$ to each other?
Physics · Vector Algebra · MCQ
Q47.If force $F = 3 i + 4 j - 2 k$ acts on a particle position vector $2 i + j + 2 k$ then, the torque about the origin will be :
Physics · Rotational Motion · MCQ
Q48.The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point P will be : (Given g = acceleration due to gravity at the surface of earth).
Physics · Gravitation · MCQ
Q49.The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :
Physics · Properties of Matter · MCQ
Q50.The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be :
Physics · Heat and Thermodynamics · MCQ
Q51.In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance l and 2l from the charge distribution. If $σ$ is the surface charge density, then the magnitude of electric fields E1 and E2 at… Includes diagram
Physics · Electrostatics · MCQ
Q52.Match List-I with List-II. Choose the correct answer from the options given below : Includes table
Physics · Alternating Current · MCQ
Q53.A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uniformly distributed across this cross-section. Then the variation of magnetic field due to current I with distance r (r…
Physics · Magnetics · MCQ
Q54.If wattless current flows in the AC circuit, then the circuit is :
Physics · Alternating Current · MCQ
Q55.The electric field in an electromagnetic wave is given by E = 56.5 sin $ω$ (t $-$ x/c) NC $-$ 1. Find the intensity of the wave if it is propagating along x-axis in the free space. (Given : $ε$ 0 = 8.85 $\times$ 10 $-$ 12C2N $-$ …
Physics · Electromagnetic Waves · MCQ
Q56.The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference between the beams is $π$ /2 at point P and $π$ at point Q. Then the difference between the resultant intensities at…
Physics · Wave Optics · MCQ
Q57.A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the…
Physics · Geometrical Optics · MCQ
Q58.The ratio for the speed of the electron in the 3rd orbit of He+ to the speed of the electron in the 3rd orbit of hydrogen atom will be :
Physics · Atoms and Nuclei · MCQ
Q59.The photodiode is used to detect the optical signals. These diodes are preferably operated in reverse biased mode because :
Physics · Electronic Devices · MCQ
Q60.The difference of speed of light in the two media A and B (vA $-$ vB) is 2.6 $\times$ 107 m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is : (Given : speed of light in vacuum c…
Physics · Geometrical Optics · MCQ
Q61.A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the observations for $\frac{1}{3}$ deflection in the galvanometer. Which of the below is true for measuring value…
Physics · Current Electricity · MCQ
Q62.A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the…
Physics · Work Power and Energy · Numerical
Q63.A 0.5 kg block moving at a speed of 12 ms $-$ 1 compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be Nm $-$ 1.
Physics · Work Power and Energy · Numerical
Q64.The velocity of upper layer of water in a river is 36 kmh $-$ 1. Shearing stress between horizontal layers of water is 10 $-$ 3 Nm $-$ 2. Depth of the river is m. (Co-efficient of viscosity of water is 10 $-$ 2…
Physics · Properties of Matter · Numerical
Q65.The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm. The length of the open organ pipe is cm.
Physics · Waves · Numerical
Q66.The equivalent capacitance between points A and B in below shown figure will be $μ$ F. Includes diagram
Physics · Capacitor · Numerical
Q67.A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increases to 3 A, the energy developed in 10 s is J.
Physics · Current Electricity · Numerical
Q68.The total current supplied to the circuit as shown in figure by the 5 V battery is A. Includes diagram
Physics · Current Electricity · Numerical
Q69.The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t2) A. The amount of energy spent during the period when current changes from 0 to 2 A is J.
Physics · Electromagnetic Induction · Numerical
Q70.A force on an object of mass 100 g is $(10 i + 5 j)$ N. The position of that object at t = 2 s is $(a i + b j)$ m after starting from rest. The value of $\frac{a}{b}$ will…
Physics · Laws of Motion · Numerical