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JEE Main 2021 26 Feb Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 202126 Feb, Morning shift

Physics 24Chemistry 20Mathematics 29

Physics

Q54In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and resistance is decreased by two fold…Electromagnetic Induction and Alternating Currents
Q59The maximum and minimum amplitude of an amplitude modulated wave is 16V and 8V respectively. The modulation index for this amplitude modulated wave is x ×…Communication Systems
Q60In an electrical circuit, a battery is connected to pass 20C of charge through it in a certain given time. The potential difference between two plates of the…Current Electricity
Q62A radiation is emitted by 1000W bulb and it generates an electric field and magnetic field at P, placed at a distance of 2m. The efficiency of the bulb is…Electromagnetic Waves
Q66A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second chamber is 5.5 litre. The first chamber contain…Thermodynamics
Q67A person standing on a spring balance inside a stationary lift measures 60 kg. The weight of that person if the lift descends with uniform downward…Laws of Motion
Q68A boy pushes a box of mass 2 kg with a force F = (20 i + 10 j)N on a frictionless surface. If the box was initially at rest, then _ _ _ _ _ m is displacement…Laws of Motion
Q76The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y = - 0.21 sin (x + 30t) is produced in it, where x is in meter and t…Oscillations and Waves
Q5886An alternating current is given by the equation i = i₁ sin ω t + i₂ cos ω t. The rms current will be:Electromagnetic Induction and Alternating Currents
Q6000If λ ₁ and λ ₂ are the wavelengths of the third member of Lyman and first member of the Paschen series respectively, then the value of λ ₁: λ ₂ is:Atoms and Nuclei
Q6171Consider the combination of 2 capacitors C₁ and C₂ with C₂ > C₁, when connected in parallel, the equivalent capacitance is 15/4 times the equivalent…Electrostatics
Q6223Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Body 'P' having mass M moving with speed…Rotational Motion
Q6269A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inversely…Kinematics
Q6557Given below are two statements: one is labeled as Assertion A and the other is labelled as Reason R. Assertion A: An electron microscope can achieve better…Dual Nature of Matter and Radiation
Q6874LED is constructed from Ga-As-P semiconducting material. The energy gap of this LED is 1.9 eV. Calculate the wavelength of light emitted and its colour. [h =…Electronic Devices
Q7080A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length has absolute value | f | = 40 cm. The image of…Optics
Q7263A planet revolving in elliptical orbit has: A. a constant velocity of revolution. B. has the least velocity when it is nearest to the sun. C. its areal…Gravitation
Q7939The normal density of a material is ρ and its bulk modulus of elasticity is K. The magnitude of increase in density of material, when a pressure P is applied…Properties of Solids and Liquids
Q8014A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mechanical equivalent of heat is J, the…Properties of Solids and Liquids
Q8099Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a square of side 'b'. The moment of inertia…Rotational Motion
Q8200Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R/2) from the earth's centre, where 'R' is the radius of the Earth. The…Oscillations and Waves
Q8201If two similar springs each of spring constant K₁ are joined in series, the new spring constant and time period would be changed by a factor:Oscillations and Waves
Q8244In a typical combustion engine the workdone by a gas molecule is given by W = α ²β e^((- β x²)/kT), where x is the displacement, k is the Boltzmann constant…Units and Measurements
Q8435In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a light of wavelength 500 nm is used, the…Optics

Chemistry

Q6Number of bridging CO ligands in [Mn₂(CO)₁₀] is _ _ _ _ _.Coordination Compounds
Q9Consider the following reaction MnO₄⁻⁺ 8H⁺ + 5e^ - → M n⁺² + 4H₂O,E^(o) = 1.51V. The quantity of electricity required in Faraday to reduce five moles of…Redox Reactions and Electrochemistry
Q113.12 g of oxygen is adsorbed on 1.2 g of platinum metal. The volume of oxygen adsorbed per gram of the adsorbent at 1 atm and 300 K in L is _ _ _ _ _. [R =…Gaseous State
Q12A certain gas obeys P(V m - b) = RT. The value of ((Z)/(P)) T is xb/RT. The value of x is _ _ _ _ _. (Integer answer) (Z: compressibility factor)Gaseous State
Q18Dichromate ion is treated with base, the oxidation number of Cr in the product formed is _ _ _ _ _ _.Redox Reactions and Electrochemistry
Q20The number of significant figures in 50000.020 × 10⁻³ is _ _ _ _ _ _ _.Some Basic Concepts in Chemistry
Q22For a chemical reaction A + B ⇌ C + D (Δ r H^Θ = 80 kJ mol⁻¹) the entropy change Δ r S^Θ depends on the temperature T (in K) as Δ r S^Θ = 2T (J K⁻¹mol⁻¹)…Chemical Thermodynamics
Q23An exothermic reaction X → Y has an activation energy 30 kJ mol⁻¹. If energy change Δ E during the reaction is - 20 kJ, then the activation energy for the…Chemical Thermodynamics
Q26Given below are two statements: Statement I: o-Nitrophenol is steam volatile due to intramolecular hydrogen bonding. Statement II: o-Nitrophenol has high…Organic Compounds Containing Oxygen
Q126Given below are two statements: Statement I: A mixture of chloroform and aniline can be separated by simple distillation. Statement II: When separating…Some Basic Principles of Organic Chemistry
Q235Which of the following vitamin is helpful in delaying the blood clotting?Biomolecules
Q334Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Dipole-dipole interactions are the only…Chemical Bonding and Molecular Structure
Q821Which one of the following lanthanoids does not form MO₂? [M is lanthanoid metal]d- and f-Block Elements
Q916Compound A used as a strong oxidizing agent is amphoteric in nature. It is the part of lead storage batteries. Compound A is:Redox Reactions and Electrochemistry
Q1027The presence of ozone in troposphere:Environmental Chemistry
Q1271Statements about heavy water are given below: A. Heavy water is used in exchange reactions for the study of reaction mechanisms. B. Heavy water is prepared by…Hydrogen
Q1418Match List - I with List - II. List - I (Ore) List - II (Element Present) (a) Kernite (i) Tin (b) Cassiterite (ii) Boron (c) Calamine (iii) Fluorine (d)…Isolation of Elements
Q1608Match List - I with List - II. List I Electronic configuration List II Δ i H in kJ mo l⁻¹ (a) 1s²2s² (i) 801 (b) 1s²2s²2p⁴ (ii) 899 (c) 1s²2s²2p³ (iii) 1314…Classification of Elements and Periodicity in Properties
Q1728Which of the following is 'a' FALSE statement ?Principles Related to Practical Chemistry
Q2142The orbital having two radial as well as two angular nodes is:Atomic Structure

Mathematics

Q24Let (λ, 2, 1) be a point on the plane which passes through the point (4, - 2, 2). If the plane is perpendicular to the line joining the points (- 2, - 21, 29)…Three Dimensional Geometry
Q29The area bounded by the lines y = || x - 1 | - 2 | is _ _ _ _ _ _.Integral Calculus
Q31Let m, n N and gcd (2, n) = 1. If 30(30 0) + 29(30 1) +...... + 2(30 28) + 1(30 29) = n.2^(m), then n + m is equal to _ _ _ _ _. (Here (n k) = ⁿ C k)Binomial Theorem and Its Simple Applications
Q34The value of the integral ∫₀^π | sin 2x|dx is _ _ _ _ _ _.Integral Calculus
Q35If y = y(x) is the solution of the equation e^(sin y) cos ydy/dx + e^(sin y) cos x = cos x, y(0) = 0; then 1 + y((π)/6) + (3)/2y((π)/3) + 1/(2)y((π)/4) is…Differential Equations
Q36The difference between degree and order of a differential equation that represents the family of curves given by y² = a(x + (a)/2), a > 0 is _ _ _ _ _.Differential Equations
Q40The number of solutions of the equation log₄(x - 1) = log₂(x - 3) is _ _ _ _ _.Limit, Continuity and Differentiability
Q45The sum of 162^(t)h power of the roots of the equation x³ - 2x² + 2x - 1 = 0 is _ _ _ _.Complex Numbers and Quadratic Equations
Q50If 3 (cos ²x) = (3 - 1) cos x + 1, the number of solutions of the given equation when x [ 0,(π)/2 ] is _ _ _ _ _.Trigonometry
Q51The number of integral values of 'k' for which the equation 3 sin x + 4 cos x = k + 1 has a solution, k R is _ _ _ _ _ _.Trigonometry
Q2580Consider the three planes P₁: 3x + 15y + 21z = 9, P₂: x - 3y - z = 5, and P₃: 2x + 10y + 14z = 5 Then, which one of the following is true?Three Dimensional Geometry
Q2581If (1, 5, 35), (7, 5, 5), (1, λ, 7) and (2 λ, 1, 2) are coplanar, then the sum of all possible values of λ is:Three Dimensional Geometry
Q2653The maximum slope of the curve y = 1/2x⁴ - 5x³ + 18x² - 19x occurs at the point:Limit, Continuity and Differentiability
Q2701Let f be any function defined on R and let it satisfy the condition: |f(x) - f(y)| ≤ |(x - y)²|, (x,y) R If f(0) = 1, then:Limit, Continuity and Differentiability
Q2929The maximum value of the term independent of 't' in the expansion of (t x^(1/5) + ((1 - x)^(1/10))/t)¹⁰ where x (0, 1) is:Binomial Theorem and Its Simple Applications
Q3397The value of ∫ - π /2 ^(π /2) (cos ²x)/(1 + 3ˣ) dx is:Integral Calculus
Q3398The value of Σ n = 1 ¹⁰⁰ ∫ n - 1 ⁿ e^(x - [x])dx, where [ x ] is the greatest integer ≤ x, is:Integral Calculus
Q3606The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is 1000 at initial time t = 0. The number…Differential Equations
Q4100If (sin ¹x)/a = (cos ⁻¹x)/b = (tan ⁻¹y)/c; 0 < x < 1, then the value of cos ((π c)/(a + b)) is:Trigonometry
Q4281The value of lim h → 0 2 (3 sin ((π)/6 + h) - cos ((π)/6 + h))/(3 h(3 cosh - sinh)) is:Limit, Continuity and Differentiability
Q4463The value of | (a + 1)(a + 2) a + 2 1 (a + 2)(a + 3) a + 3 1 (a + 3)(a + 4) a + 4 1 | is:Matrices and Determinants
Q4645Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A² is 1, then the possible number of such matrices is:Matrices and Determinants
Q4776The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only is:Permutations and Combinations
Q4883A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting 9 heads, then the probability of…Statistics and Probability
Q5261In an increasing geometric series, the sum of the second and the sixth term is 25/2 and the product of the third and fifth term is 25. Then, the sum of…Sequence and Series
Q5319The sum of the infinite series 1 + 2/3 + 7/(3²) + 12/(3³) + 17/(3⁴) + 22/(3⁵) +...... is equal to:Sequence and Series
Q5376Let R = (P, Q) | P and Q are at the same distance from the origin be a relation, then the equivalence class of (1, - 1) is the set:Sets, Relations and Functions
Q5614The intersection of three lines x - y = 0, x + 2y = 3 and 2x + y = 6 is a:Coordinate Geometry
Q5727If a and b are perpendicular, then a × (a × (a × (a × b))) is equal to:Vector Algebra