Loading…

Questions and solutions are free, always.

Practise

Practice
Revision queue
Revision planner
Take a test
Build a test

Browse

All topics
Blog
Notes & printables
Physics
Chemistry
Mathematics

Account

Your numbers
Study plan
Saved
Plus
Privacy
Terms
Delete account

Skip to content

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

Past papers

Ctrl K

Practice
Revise
Tests
Topics
More
Dashboard Settings My progress Notes & printables Revision planner Study plan Saved questions Explore Plus

81days to JEE Main

Study

PracticePractice

Study planPlanPlus

Library

Past papersPapers

ProgressProgress

SettingsSettings

JEE Arc Plus₹49 a month. Mocks, plans, notes.→?GuestSign in to save progress

JEE Main 202125 Feb, Morning shift

Physics 23Chemistry 18Mathematics 29

Physics

Q49A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56 μ F is used in the resonant circuit. The self inductance of coil necessary for…Electromagnetic Induction and Alternating Currents
Q51A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the…Kinematics
Q54A coil of inductance 2 H having negligible resistance is connected to a source of supply whose voltage is given by V = 3t volt. (where t is in second). If the…Electromagnetic Induction and Alternating Currents
Q55The electric field in a region is given by E = (3/5E₀ i + 4/5E₀ j)N/C. The ratio of flux of reported field through the rectangular surface of area 0.2 m²…Electrostatics
Q56512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a single drop. The potential of this drop is _ _ _ _ V.Electrostatics
Q57The same size images are formed by a convex lens when the object is placed at 20 cm or at 10 cm from the lens. The focal length of convex lens is _ _ _ _ _ cm.Optics
Q60In a certain thermodynamical process, the pressure of a gas depends on its volume as kV³. The work done when the temperature changes from 100° C to 300° C…Thermodynamics
Q62A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then change in…Thermodynamics
Q71The potential energy (U) of a diatomic molecule is a function dependent on r (interatomic distance) as U = (α)/(r¹⁰) - (β)/(r⁵) - 3 where, α and β are…Work, Energy and Power
Q6102Two radioactive substances X and Y originally have N₁ and N₂ nuclei respectively. Half life of X is half of the half life of Y. After three half lives of Y…Atoms and Nuclei
Q6351Given below are two statements: Statement I: A speech signal of 2 kHz is used to modulate a carrier signal of 1 MHz. The bandwidth requirement for the signal…Communication Systems
Q6555An α particle and a proton are accelerated from rest by a potential difference of 200V. After this, their de Broglie wavelengths are λ _ α and λ p…Dual Nature of Matter and Radiation
Q7196Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The escape velocities of planet A and B are…Gravitation
Q7301A diatomic gas, having C p = 7/2R and C v = 5/2R, is heated at constant pressure. The ratio dU: dQ: dW:Thermodynamics
Q7521Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: When a rod lying freely is heated, no…Thermodynamics
Q7680Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m and 0.2 m from the centre are in the ratio 8: 1. The radius of coil is _…Magnetic Effects of Current and Magnetism
Q7754A proton, a deuteron and an α particle are moving with same momentum in a uniform magnetic field. The ratio of magnetic forces acting on them is _ _ _ _ a nd…Magnetic Effects of Current and Magnetism
Q7845An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with velocity v. The velocity with…Kinematics
Q8199If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:Oscillations and Waves
Q8242Match List - I with List - II: List I List II (a) h (Planck's constant) (i) [ML T⁻¹ ] (b) E (kinetic energy) (ii) [M L² T⁻¹ ] (c) V (electric potential) (iii)…Units and Measurements
Q8335The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular scale. When nothing is put in between the jaws, the zero of the circular…Experimental Skills
Q8434Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio (I max - I min)/(I max + I min) will be:Optics
Q8553A student is performing the experiment of resonance column. The diameter of the column tube is 6 cm. The frequency of the tuning fork is 504 Hz. Speed of the…Oscillations and Waves

Chemistry

Q3Among the following, the number of halide(s) which is/are inert to hydrolysis is _ _ _ _ _. (A) BF₃ (B) SiCl₄ (C) PCl₅ (D) SF₆Chemical Bonding and Molecular Structure
Q9A car tyre is filled with nitrogen gas at 35 psi at 27° C. It will burst if pressure exceeds 40 psi. The temperature in° C at which the car tyre will burst is…Gaseous State
Q140.4 g mixture of NaOH, Na₂CO₃ and some inert impurities was first titrated with N/10 HCl using phenolphthalein as an indicator, 17.5 mL of HCl was required at…Redox Reactions and Electrochemistry
Q151 molal aqueous solution of an electrolyte A₂B₃ is 60% ionised. The boiling point of the solution at 1 atm is _ _ _ _ K. (Rounded off to the nearest integer)…Solutions
Q16In basic medium Cr O₄ ²⁻ oxidises S₂O₃²⁻ to form S O₄ ²⁻ and itself changes into Cr (OH)₄ ^ -. The volume of 0.154 M Cr O₄ ²⁻ required to react with 40 mL of…Some Basic Concepts in Chemistry
Q18The reaction of cyanamide, NH₂CN_(s) with oxygen was run in a bomb calorimeter and Δ U was found to be - 742.24 kJ mol⁻¹. The magnitude of Δ H₂₉₈ for the…Chemical Thermodynamics
Q19The ionization enthalpy of Na⁺ formation from Na_(g) is 495.8 kJ mol⁻¹, while the electron gain enthalpy of Br is - 325.0 kJ mol⁻¹. Given the lattice enthalpy…Chemical Thermodynamics
Q165Which of the glycosidic linkage between galactose and glucose is present in lactose?Biomolecules
Q370According to molecular orbital theory, the species among the following that does not exist is:Chemical Bonding and Molecular Structure
Q729The hybridization and magnetic nature of [Mn (CN)₆ ]⁴⁻ and [Fe (CN)₆ ]³⁻, respectively are:Coordination Compounds
Q820Given below are two statements: Statement I: CeO₂ can be used for oxidation of aldehydes and ketones. Statement II: Aqueous solution of EuSO₄ is a strong…d- and f-Block Elements
Q875In which of the following pairs, the outer most electronic configuration will be the same?d- and f-Block Elements
Q1026Given below are two statements: Statement I: An allotrope of oxygen is an important intermediate in the formation of reducing smog. Statement II: Gases such…Environmental Chemistry
Q1219Which of the following equation depicts the oxidizing nature of H₂O₂?Hydrogen
Q1341The solubility of AgCN in a buffer solution of pH = 3 is x. The value of x is: [Assume: No cyano complex is formed; K s p(AgCN) = 2.2 × 10⁻¹6 and K a (HCN) =…Equilibrium
Q1368Ellingham diagram is a graphical representation of:Isolation of Elements
Q1689Which statement is correct?Polymers
Q2097Complete combustion of 1.80 g of an oxygen containing compound (C x H y O z) gave 2.64 g of CO₂ and 1.08 g of H₂O. The percentage of oxygen in the organic…Some Basic Concepts in Chemistry

Mathematics

Q22Let f(x) be a polynomial of degree 6 in x, in which the coefficient of x⁶ is unity and it has extrema at x = - 1 and x = 1. If lim x → 0 (f(x))/(x³) = 1, then…Limit, Continuity and Differentiability
Q25The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose…Integral Calculus
Q31The locus of the point of intersection of the lines (3)kx + ky - 4 3 = 0 and 3 x - y - 4(3)k = 0 is a conic, whose eccentricity is _ _ _ _ _.Coordinate Geometry
Q33The number of points, at which the function f(x) = | 2x + 1 | - 3| x + 2 | + | x² + x - 2 |, x R is not differentiable, is _ _ _ _ _.Limit, Continuity and Differentiability
Q36If A = [ 0 - tan ((θ)/2) tan ((θ)/2) 0 ] and (I₂ + A)(I₂ - A)⁻¹ = [ a - b b a ], then 13(a² + b²) is equal toMatrices and Determinants
Q37Let A = [ x y z y z x z x y ], where x, y and z are real numbers such that x + y + z > 0 and xyz = 2. If A² = I₃, then the value of x³ + y³ + z³ is _ _ _ _ _ _.Matrices and Determinants
Q38If the system of equations kx + y + 2z = 1 3x - y - 2z = 2 - 2x - 2y - 4z = 3 has infinitely many solutions, then k is equal to _ _ _ _ _.Matrices and Determinants
Q41The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition of digits is not allowed and…Permutations and Combinations
Q45Let A₁, A₂, A₃,....... be squares such that for each n ≥ 1, the length of the side of A n equals the length of diagonal of A n +1. If the length of A₁ is 12…Sequence and Series
Q48Let a = i + 2 j - k, b = i - j and c = i - j - k be three given vectors. If r is a vector such that r × a = c × a and r. b = 0, then r. a is equal to _ _ _ _ _.Vector Algebra
Q2378Let α be the angle between the lines whose direction cosines satisfy the equations l + m - n = 0 and l² + m² - n² = 0. Then the value of sin⁴ α + cos⁴ α is:Three Dimensional Geometry
Q2495The equation of the line through the point (0, 1, 2) and perpendicular to the line (x - 1)/2 = (y + 1)/3 = (z - 1)/(- 2) is:Three Dimensional Geometry
Q2700If Rolle's theorem holds for the function f(x) = x³ - a x² + bx - 4, x [1,2] with f'(4/3) = 0, then ordered pair (a, b) is equal to:Limit, Continuity and Differentiability
Q2782If the curves, (x²)/a + (y²)/b = 1 and (x²)/c + (y²)/d = 1 intersect each other at an angle of 90°, then which of the following relations is TRUE?Limit, Continuity and Differentiability
Q3184Let the lines (2 - i)z = (2 + i) z and (2 + i)z + (i - 2) z - 4i = 0, (here i² = - 1) be normal to a circle C. If the line iz + z + 1 + i = 0 is tangent to…Complex Numbers and Quadratic Equations
Q3395The value of ∫₋₁¹ x²e^([x³]) dx, where [ t ] denotes the greatest integer ≤ t, is:Integral Calculus
Q3526If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is (x² - 4x + y + 8)/(x - 2), then this curve also passes through…Differential Equations
Q3801Let f, g: N → N such that f(n + 1) = f(n) + f(1) n N and g be any arbitrary function. Which of the following statements is NOT true?Sets, Relations and Functions
Q3922A man is observing, from the top of a tower, a boat speeding towards the lower from a certain point A, with uniform speed. At that point, angle of depression…Height and Distance
Q4029The value of the integral ∫ (sin θ. sin 2θ (sin ⁶θ + sin ⁴θ + sin ²θ)√(2 sin ⁴θ + 3 sin ²θ + 6))/(1 - cos 2θ) dθ is:Integral Calculus
Q4254lim n → ∞ (1 + (1 + 1/2 +........ + 1/n)/(n²))ⁿ is equal to:Limit, Continuity and Differentiability
Q4342The statement A → (B → A) is equivalent to:Mathematical Reasoning
Q4745A tangent is drawn to the parabola y² = 6x which is perpendicular to the line 2x + y = 1. Which of the following points does NOT lie on it?Coordinate Geometry
Q4775The total number of positive integral solutions (x, y, z) such that xyz = 24 is:Permutations and Combinations
Q4911The coefficients a, b and c of the quadratic equation, ax² + bx + c = 0 are obtained by throwing a dice three times. The probability that this equation has…Statistics and Probability
Q4957When a missile is fired from a ship, the probability that it is intercepted is 1/3 and the probability that the missile hits the target, given that it is not…Statistics and Probability
Q5069The integer 'k', for which the inequality x² - 2(3k - 1)x + 8k² - 7 > 0 is valid for every x in R, is:Complex Numbers and Quadratic Equations
Q5318If 0 < θ,φ < (π)/2,x = Σ n = 0 ^∞ cos ²ⁿθ,y = Σ n = 0 ^∞ sin ²ⁿφ and z = Σ n = 0 ^∞ cos ²ⁿθ. sin ²ⁿφ then:Sequence and Series
Q5584The image of the point (3, 5) in the line x - y + 1 = 0, lies on:Coordinate Geometry