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JEE Main 2022 26 Jun Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202226 Jun, Evening shift

Physics 22Chemistry 21Mathematics 30

Physics

Q55A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its initial speed of 15 ms⁻¹. The impulse imparted to the…Rotational Motion
Q58The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength 6630 A^(o) is 0.42 V. If the threshold frequency is x ×…Dual Nature of Matter and Radiation
Q63A small bulb is placed at the bottom of a tank containing water to a depth of 7 m. The refractive index of water is 4/3. The area of the surface of water…Optics
Q66A geyser heats water flowing at a rate of 2.0 kg per minute from 30° C to 70° C. If geyser operates on a gas burner, the rate of combustion of fuel will be _…Thermodynamics
Q68Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of 10⁻⁵ N, then separation…Magnetic Effects of Current and Magnetism
Q69A ball is projected vertically upward with an initial velocity of 50 ms⁻¹ at t = 0s. At t = 2s, another ball is projected vertically upward with same…Kinematics
Q73A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale…Units and Measurements
Q75A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to the preceding fork and the frequency of…Oscillations and Waves
Q6119A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5 hours for the second process. The…Atoms and Nuclei
Q6358A sinusoidal wave y(t) = 40sin(10 × 10⁶ π t) is amplitude modulated by another sinusoidal wave x(t) = 20sin (1000 π t). The amplitude of minimum frequency…Communication Systems
Q6648A metal surface is illuminated by a radiation of wavelength 4500 A^(o). The ejected photo-electron enters a constant magnetic field of 2 mT making an angle of…Dual Nature of Matter and Radiation
Q6722A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity 5 rad s⁻¹. If the…Electromagnetic Induction and Alternating Currents
Q6840Which is the correct ascending order of wavelengths?Electromagnetic Waves
Q6910The positive feedback is required by an amplifier to act an oscillator. The feedback here means:Electronic Devices
Q7019Sixty four conducting drops each of radius 0.02 m and each carrying a charge of 5 μ C are combined to form a bigger drop. The ratio of surface density of…Electrostatics
Q7146Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: If we move from poles to equator, the…Gravitation
Q7400A flask contains argon and oxygen in the ratio of 3: 2 in mass and the mixture is kept at 27° C. The ratio of their average kinetic energy per molecule…Kinetic Theory of Gases
Q7614A bar magnet having a magnetic moment of 2.0 × 10⁵ JT⁻¹, is placed along the direction of uniform magnetic field of magnitude B = 14 × 10⁻⁵ T. The work done…Magnetic Effects of Current and Magnetism
Q7912If p is the density and η is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number R…Properties of Solids and Liquids
Q8075A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to…Rotational Motion
Q8256The dimension of mutual inductance is:Units and Measurements
Q8442For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is 670.7 nm. The value of v is:Optics

Chemistry

Q4Amongst SF₄, XeF₄, CF₄ and H₂O, the number of species with two lone pairs of electrons is _ _ _ _ _ _ _.Chemical Bonding and Molecular Structure
Q540% of HI undergoes decomposition to H₂ and I₂ at 300 K. Δ G ^Θ for this decomposition reaction at one atmosphere pressure is _ _ _ _ _ J mol⁻¹. [nearest…Equilibrium
Q6Catalyst A reduces the activation energy for a reaction by 10 kJ mol⁻¹ at 300 K. The ratio of rate constants, (^(k)T, Catalysed)/(^(k)T, Uncatalysed) is eˣ…Chemical Kinetics
Q8Reaction of [Co(H₂O)₆]²⁺ with excess ammonia and in the presence of oxygen results into a diamagnetic product. Number of electrons present in t₂g-orbitals of…Coordination Compounds
Q10Cu(s) + Sn²⁺ (0.001M) → Cu²⁺ (0.01M) + Sn(s) The Gibbs free energy change for the above reaction at 298 K is x × 10⁻¹ kJ mol⁻¹. The value of x is _ _ _ _ _…Redox Reactions and Electrochemistry
Q18In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the…Solid State
Q19The osmotic pressure exerted by a solution prepared by dissolving 2.0 g of protein of molar mass 60 kg mol⁻¹ in 200 mL of water at 27° C is _ _ _ _ _ _ _ Pa…Solutions
Q20The moles of methane required to produce 81 g of water after complete combustion is _ _ _ _ _ _ _ × 10⁻² mol. [nearest integer]Some Basic Concepts in Chemistry
Q21CNG is an important transportation fuel. When 100 g CNG is mixed with 208 g oxygen in vehicles, it leads to the formation of CO₂ and H₂O and produces large…Some Basic Concepts in Chemistry
Q23A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it is subjected to cooking at 100° C…Chemical Thermodynamics
Q211Match List-I with List-II List - I Enzyne List - II Conversion of A. Invertase I. Starch into maltose B. Zymase II. Maltose into glucose C. Diastase III…Biomolecules
Q240Which one of the following is a water soluble vitamin, that is not excreted easily?Biomolecules
Q829The most common oxidation state of Lanthanoid elements is +3. Which of the following is likely to deviate easily from +3 oxidation state?d- and f-Block Elements
Q1096The measured BOD values for four different water samples (A-D) are as follows: A = 3 ppm; B = 18 ppm; C = 21 ppm; D = 4 ppm. The water samples which can be…Environmental Chemistry
Q1201Boiling of hard water is helpful in removing the temporary hardness by converting calcium hydrogen carbonate and magnesium hydrogen carbonate to:Hydrogen
Q1358The role of depressants in 'Froth Flotation method' is toIsolation of Elements
Q1490The oxide which contains an odd electron at the nitrogen atom is:p-Block Elements
Q1512Which of the following elements is considered as a metalloid?p-Block Elements
Q1816Which one of the following is an example of disproportionation reaction ?Redox Reactions and Electrochemistry
Q1889s-block element which cannot be qualitatively confirmed by the flame test is:S Block Elements
Q2145The number of radial and angular nodes in 4d orbital are, respectivelyAtomic Structure

Mathematics

Q29If (⁴⁰C₀) + (⁴¹C₁) + (⁴²C₂) +..... + (⁶⁰C₂₀) = m/n ⁶⁰C₂₀ m and n are coprime, then m + n is equal to _ _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q30If z² + z + 1 = 0, z C, then | Σ n = 1 ¹⁵ (zⁿ + (- 1)ⁿ1/(zⁿ))² | is equal to _ _ _ _ _.Complex Numbers and Quadratic Equations
Q31The integral 24/(π)∫₀^(2) ((2 - x²)dx)/((2 + x²)√(4 + x⁴)) is equal to _ _ _ _ _ _.Integral Calculus
Q34Let f: R → R satisfy f(x + y) = 2ˣf(y) + 4^(y)f(x), x, y R. If f(2) = 3, then 14. (f'(4))/(f'(2)) is equal to _ _ _ _ _ _.Limit, Continuity and Differentiability
Q39Let a line L₁ be tangent to the hyperbola (x²)/16 - (y²)/4 = 1 and let L₂ be the line passing through the origin and perpendicular to L₁. If the locus of the…Coordinate Geometry
Q45Let X = [ 0 1 0 0 0 1 0 0 0 ], Y = α I + β X + γ X² and Z = α ²I - α β X + (β ² - α γ)X², α, β, γ R. If Y⁻¹ = [ 1/5 (- 2)/5 1/5 0 1/5 (- 2)/5 0 0 1/5 ], then…Matrices and Determinants
Q47The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is _ _ _ _ _ _.Permutations and Combinations
Q48If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is p, then 96 p is equal to _ _ _ _ _ _ _ _.Statistics and Probability
Q49Let p and q be two real numbers such that p + q = 3 and p⁴ + q⁴ = 369. Then (1/p + 1/q)⁻² is equal to _ _ _ _ _.Complex Numbers and Quadratic Equations
Q50If a₁ (> 0), a₂, a₃, a₄, a₅ are in a G.P., a₂ + a₄ = 2a₃ + 1 and 3a₂ + a₃ = 2a₄, then a₂ + a₄ + 2a₅ is equal to _ _ _ _ _ _.Sequence and Series
Q2446If the lines r = (i - j + k) + λ (3 j - k) and r = (α i - j) + μ (2 i - 3 k) are co-planar, then the distance of the plane containing these two lines from the…Three Dimensional Geometry
Q2503Let a = i + j + 2 k, b = 2 i - 3 j + k and c = i - j + k be three given vectors. Let v be a vector in the plane of a and b whose projection on c is 2/(3). If…Three Dimensional Geometry
Q2592If the plane 2x + y - 5z = 0 is rotated about its line of intersection with the plane 3x - y + 4z - 7 = 0 by an angle of (π)/2, then the plane after the…Three Dimensional Geometry
Q2664Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a constant k, then the ratio x: r, for…Limit, Continuity and Differentiability
Q2842The area of the region bounded by y² = 8x and y² = 16(3 - x) is equal to:Integral Calculus
Q3542If y = y(x) is the solution of the differential equation xdy/dx + 2y = x eˣ, y(1) = 0 then the local maximum value of the function z(x) = x²y(x) - eˣ, x R is:Differential Equations
Q3543If the solution of the differential equation dy/dx + eˣ(x² - 2)y = (x² - 2x)(x² - 2)e²ˣ satisfies y(0) = 0, then the value of y(2) is _ _ _ _ _ _ _ _.Differential Equations
Q3721If m is the slope of a common tangent to the curves (x²)/16 + (y²)/9 = 1 and x² + y² = 12, then 12m² is equal to:Coordinate Geometry
Q3725The locus of the mid point of the line segment joining the point (4, 3) and the points on the ellipse x² + 2y² = 4 is an ellipse with eccentricity:Coordinate Geometry
Q3827Let f: R → R be defined as f (x) = x - 1 and g: R - 1, - 1 → R be defined as g(x) = (x²)/(x² - 1). Then the function fog is:Sets, Relations and Functions
Q3954The normal to the hyperbola (x²)/(a²) - (y²)/9 = 1 at the point (8,3 3) on it passes through the point:Coordinate Geometry
Q4033If ∫ 1/x√((1 - x)/(1 + x)) dx = g(x) + c, g(1) = 0, then g(1/2) is equal to:Integral Calculus
Q4075If the inverse trigonometric functions take principal values then cos ⁻¹(3/10 cos (tan ⁻¹(4/3)) + 2/5 sin (tan ⁻¹(4/3))) is equal to:Trigonometry
Q4208Let f(x) = min 1, 1 + x sin x, 0 ≤ x ≤ 2 π. If m is the number of points, where f is not differentiable and n is the number of points, where f is not…Limit, Continuity and Differentiability
Q4292lim x → 0 (cos (sin x) - cos x)/(x⁴) is equal to:Limit, Continuity and Differentiability
Q4365Let r p, q, p, q be such that the logical statement r (p) ⇒ (p q) r is a tautology. Then r is equal to:Mathematical Reasoning
Q4606If the system of equations α x + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z = β has infinitely many solutions, then the ordered pair (α, β) is equal to:Matrices and Determinants
Q5333If A = Σ n = 1 ^∞ 1 (3 + (- 1)ⁿ)ⁿ and B = Σ n = 1 ^∞ (- 1)ⁿ (3 + (- 1)ⁿ)ⁿ, then A/B is equal to:Sequence and Series
Q5474The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observation was taken such that the sum of…Statistics and Probability
Q566616 sin (20°) sin (40°) sin (80°) is equal to:Trigonometry