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JEE Main 2021 25 Feb Evening shift Question Paper with Solutions | JEE Arc

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JEE Main 202125 Feb, Evening shift

Physics 22Chemistry 21Mathematics 30

Physics

Q57Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n: 2…Rotational Motion
Q61The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is x/10√((μ ₀c)/(π)) V/m. The efficiency of the bulb is 10%…Electromagnetic Waves
Q62The wavelength of an X-ray beam is 10 A^(o). The mass of a fictitious particle having the same energy as that of the X-ray photons is x/3h kg. The value of x…Electromagnetic Waves
Q64Two identical conducting spheres with negligible volume have 2.1 nC and - 0.1 nC charges, respectively. They are brought into contact and then separated by a…Electrostatics
Q65Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are equally charged and repel each other to a distance of 0.20 m…Electrostatics
Q66The initial velocity v i required to project a body vertically upward from the surface of the earth to reach a height of 10R, where R is the radius of the…Gravitation
Q72If P × Q = Q × P, the angle between P and Q is θ (0° < θ < 360°). The value of ' θ ' will be _ _ _ _ _ _°.Kinematics
Q74The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be _ _ _ _ _%.Oscillations and Waves
Q5884An LCR circuit contains resistance of 110 Ω and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current…Electromagnetic Induction and Alternating Currents
Q5885Match List I with List II. List I List II (a) Rectifier (i) Used either for stepping up or stepping down the a.c. voltage (b) Stabilizer (ii) Used to convert…Electromagnetic Induction and Alternating Currents
Q5999The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n = 2 to n = 1 state is:Atoms and Nuclei
Q6186An electron with kinetic energy K₁ enters between parallel plates of a capacitor at an angle ' α ' with the plates. It leaves the plates at angle ' β ' with…Electrostatics
Q6352If a message signal of frequency 'f m ' is amplitude modulated with a carrier signal of frequency 'f c ' and radiated through an antenna, the wavelength of…Communication Systems
Q6556An electron of mass m e and a proton of mass m p = 1836 m e are moving with the same speed. The ratio of their de Broglie wavelength (^λ electron)/(^λ proton)…Dual Nature of Matter and Radiation
Q6636The stopping potential for electrons emitted from a photosensitive surface illuminated by light of wavelength 491 nm is 0.710 V. When the incident wavelength…Dual Nature of Matter and Radiation
Q6873For extrinsic semiconductors; when doping level is increased;Electronic Devices
Q7302Given below are two statements: Statement I: In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution. Statement II…Thermodynamics
Q7642In a ferromagnetic material, below the curie temperature, a domain is defined as:Magnetic Effects of Current and Magnetism
Q7859A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall from a point 25 m below the top. Both…Kinematics
Q8155Y = A sin(ω t + φ ₀) is the time-displacement equation of a SHM. At t = 0 the displacement of the particle is Y = A/2 and it is moving along negative…Oscillations and Waves
Q8243If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity 1/(4π ε ₀) |e |² hc has dimensions of:Units and Measurements
Q8401Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 μ m. If the diameter of the pinhole is slightly increased…Optics

Chemistry

Q1The number of compound/s given below which contain/s -COOH group is _ _ _ _ _. (Integer answer) (A) Sulphanilic acid (B) Picric acid (C) Aspirin (D) Ascorbic…Organic Compounds Containing Oxygen
Q3The rate constant of a reaction increases by five times on increase in temperature from 27° C to 52° C. The value of activation energy in kJ mol⁻¹ is _ _ _ _…Chemical Kinetics
Q5The spin only magnetic moment of a divalent ion in aqueous solution (atomic number 29) is _ _ _ _ B M.Coordination Compounds
Q6Copper reduces NO ₃⁻ⁱnto NO and NO₂ depending upon the concentration of HNO₃ in solution. (Assuming fixed [Cu²⁺] and P N O = P N O₂), the HNO₃ concentration…Redox Reactions and Electrochemistry
Q15Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point following burette readings were obtained. (i) 4.5 mL (ii) 4.5 mL…Principles Related to Practical Chemistry
Q17The unit cell of copper corresponds to a face centered cube of edge length 3.596 A^(o) with one copper atom at each lattice point. The calculated density of…Solid State
Q18If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality of the solution which shows a 2.5 K rise in the boiling point of the…Solutions
Q19Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A. The ionization enegy of metal A in kJ mol⁻¹ is _ _ _ _ _…Atomic Structure
Q20Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is _ _ _ _ _. (Integer answer) (A) Li (B) Na (C) Rb (D) CsAtomic Structure
Q22Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at constant external pressure 4.3 MPa. The…Chemical Thermodynamics
Q302Which among the following species has unequal bond lengths?Chemical Bonding and Molecular Structure
Q730In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only magnetic moment? (i) [FeF₆]³ - (ii)…Coordination Compounds
Q1065Given below are two statements: Statement I: The pH of rain water is normally 5.6. Statement II: If the pH of rain water drops below 5.6, it is called acid…Environmental Chemistry
Q1270Water does not produce CO on reacting with:Hydrogen
Q1342The solubility of Ca(OH)₂ in water is: [Given: The solubility product of Ca(OH)₂ in water = 5.5 × 10⁻⁶]Equilibrium
Q1417The major components of German Silver are:Isolation of Elements
Q1439The method used for the purification of Indium is:Isolation of Elements
Q1652The correct order of bond dissociation enthalpy of halogens is:Classification of Elements and Periodicity in Properties
Q1727Which of the following compound is added to the sodium extract before addition of silver nitrate for testing of halogens?Principles Related to Practical Chemistry
Q1768Given below are two statements: Statement I: The identification of Ni²⁺ is carried out by dimethyl glyoxime in the presence of NH₄OH. Statement II: The…Principles Related to Practical Chemistry
Q2253Which one of the following statements is FALSE for hydrophilic sols?Surface Chemistry

Mathematics

Q23A line 'l' passing through origin is perpendicular to the lines l₁: r = (3 + t) i + (- 1 + 2t) j + (4 + 2t) k l₂: r = (3 + 2s) i + (3 + 2s) j + (2 + s) k If…Three Dimensional Geometry
Q25If the curves x = y⁴ and xy = k cut at right angles, then (4k)⁶ is equal to _ _ _ _ _.Limit, Continuity and Differentiability
Q26If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)²⁰²² is divided by 8 is _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q27The total number of two digit numbers 'n', such that 3ⁿ + 7ⁿ is a multiple of 10, is _ _ _ _ _.Binomial Theorem and Its Simple Applications
Q31The value of ∫₋₂² |3x² - 3x - 6|dx is _ _ _ _ _ _.Integral Calculus
Q32If the curve, y = y(x) represented by the solution of the differential equation (2xy² - y)dx + xdy = 0, passes through the intersection of the lines, 2x - 3y…Differential Equations
Q39A function f is defined on [ - 3, 3] as f(x) = \ min |x|,2 - x², - 2 ≤ x ≤ 2 [|x|], 2 < |x| ≤ 3. where [x] denotes the greatest integer ≤ x. The number of…Limit, Continuity and Differentiability
Q40If lim x → 0 (ax - (e⁴ˣ - 1))/(ax(e⁴ˣ - 1)) exists and is equal to b, then the value of a - 2b is _ _ _ _ _.Limit, Continuity and Differentiability
Q45A line is a common tangent to the circle (x - 3)² + y² = 9 and the parabola y² = 4x. If the two points of contact (a, b) and (c, d) are distinct and lie in…Coordinate Geometry
Q52Let a = i + α j + 3 k and b = 3 i - α j + k. If the area of the parallelogram whose adjacent sides are represented by the vectors a and b is 8 3 square units…Vector Algebra
Q2579A plane passes through the points A(1, 2, 3), B(2, 3, 1) and C(2, 4, 2). If O is the origin and P is (2, - 1, 1), then the projection of OP on this plane is…Three Dimensional Geometry
Q3222If α, β R are such that 1 - 2i (here i² = - 1) is a root of z² + α z + β = 0, then (α - β) is equal to:Complex Numbers and Quadratic Equations
Q3287lim n → ∞ [ 1/n + n/((n + 1)²) + n/((n + 2)²) +........ + n/((2n + 1)²) ] is equal to:Integral Calculus
Q3396If I n = ∫ (π)/4 ^((π)/2) cot ⁿx dx, then:Integral Calculus
Q3737If the curve x² + 2y² = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is:Coordinate Geometry
Q3802Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total number of one-one functions…Sets, Relations and Functions
Q3866A function f(x) is given by f(x) = (5ˣ)/(5ˣ + 5), then the sum of the series f(1/20) + f(2/20) + f(3/20) +....... + f(39/20) is equal to:Sets, Relations and Functions
Q3972A hyperbola passes through the foci of the ellipse (x²)/25 + (y²)/16 = 1 and its transverse and conjugate axes coincide with major and minor axes of the…Coordinate Geometry
Q4030The integral ∫ (e^(3 log e 2x) + 5e^(2 log e 2x))/(e^(4 log e x) + 5e^(3 log e x) - 7e^(2 log e x)) dx, x > 0, is equal to: (where c is a constant of…Integral Calculus
Q4099cosec [ 2 cot ⁻¹(5) + cos ⁻¹(4/5) ] is equal to:Trigonometry
Q4415The contrapositive of the statement "If you will work, you will earn money" is:Mathematical Reasoning
Q4462Let A be a 3 × 3 matrix with det(A) = 4. Let R i denote the i^(t)h row of A. If a matrix B is obtained by performing the operation R₂ → 2R₂ + 5R₃ on 2A, then…Matrices and Determinants
Q4588The following system of linear equations 2x + 3y + 2z = 9 3x + 2y + 2z = 9 x - y + 4z = 8Matrices and Determinants
Q4663If for the matrix, A = [ 1 - α α β ], A A^(T) = I₂, then the value of α ⁴ + β ⁴ is:Matrices and Determinants
Q4723The shortest distance between the line x - y = 1 and the curve x² = 2y is:Coordinate Geometry
Q4859In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian. Their…Statistics and Probability
Q4981Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen element of A leaves remainder 2 when…Statistics and Probability
Q5148Let α and β be the roots of x² - 6x - 2 = 0. If a n = α ⁿ - β ⁿ for n ≥ 1, then the value of (a₁₀ - 2a₈)/3a₉ is:Complex Numbers and Quadratic Equations
Q5180The minimum value of f(x) = a^(aˣ) + a^(1 - aˣ), where a, x R and a > 0, is equal to:Sequence and Series
Q5636If 0 < x, y < π and cosx + cosy - cos(x + y) = 3/2, then sinx + cosy is equal to:Trigonometry