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 17 Mar Evening 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 202117 Mar, Evening shift

Physics 20Chemistry 23Mathematics 29

Physics

Q58A particle of mass m moves in a circular orbit in a central potential field U(r) = U₀r⁴. If Bohr's quantization conditions are applied, radii of possible…Atoms and Nuclei
Q61The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m is E. The electric field intensity produced by the…Electromagnetic Waves
Q62Seawater at a frequency f = 9 × 10² Hz, has permittivity ε = 80 ε ₀ and resistivity ρ = 0.25 Ω m. Imagine a parallel plate capacitor is immersed in seawater…Electromagnetic Waves
Q63The electric field in a region is given by E = 2/5E₀ i + 3/5E₀ j with E₀ = 4.0 × 10³N/C. The flux of this field through a rectangular surface area 0.4 m²…Electrostatics
Q64The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at (2^(rd))/3…Optics
Q67A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction 1/(3). It is desired to make the body move by applying the…Laws of Motion
Q71Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01 cm³ of oleic acid per cm³ of the solution. Then you…Properties of Solids and Liquids
Q5888Match List - I with List - II List - I List - II (a) Phase difference between current and voltage in a purely resistive AC circuit (i) (π)/2; current leads…Electromagnetic Induction and Alternating Currents
Q5889What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?Electromagnetic Induction and Alternating Currents
Q6003The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in the visible region?Atoms and Nuclei
Q6353A carrier signal C(t) = 25 sin(2.512 × 10¹⁰t) is amplitude modulated by a message signal m(t) = 5 sin(1.57 × 10⁸t) and transmitted through an antenna. What…Communication Systems
Q6638Two identical photocathodes receive the light of frequencies f₁ and f₂ respectively. If the velocities of the photo-electrons coming out are v₁ and v₂…Dual Nature of Matter and Radiation
Q7197A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of 11R above the surface of 'P', R being the radius of 'P'. The time period…Gravitation
Q7306If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of molar specific heats for polyatomic gas (β = C P /C V) then the value…Thermodynamics
Q7860A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising to 81/100 of the height through which it falls. Find…Kinematics
Q7886The velocity of a particle is v = v₀ + gt + Ft². Its position is x = 0 at t = 0; then its displacement after time (t = 1) is:Kinematics
Q7992An object is located at 2 km beneath the surface of the water. If the fractional compression (Δ V)/V is 1.36%, the ratio of hydraulic stress to the…Properties of Solids and Liquids
Q8123A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm. Determine…Oscillations and Waves
Q8204Two particles A and B of equal masses are suspended from two massless springs of spring constants K₁ and K₂ respectively. If the maximum velocities during…Oscillations and Waves
Q8503A sound wave of frequency 245 Hz travels with the speed of 300 ms⁻¹ along the positive x-axis. Each point of the wave moves to and from through a total…Oscillations and Waves

Chemistry

Q1The total number of C-C sigma bond/s in mesityl oxide (C₆H₁₀O) is _ _ _ _ _. (Round off to the Nearest Integer).Organic Compounds Containing Oxygen
Q5Consider the reaction N₂O₄(g) 2NO₂(g) The temperature at which K C = 20.4 and K P = 600.1, is _ _ _ _ _ _ K. (Round off to the Nearest Integer). [Assume all…Equilibrium
Q6The reaction 2A + B₂ → 2AB is an elementary reaction. For a certain quantity of reactants, if the volume of the reaction vessel is reduced by a factor of 3…Chemical Kinetics
Q10On complete reaction of FeCl₃ with oxalic acid in aqueous solution containing KOH, resulted in the formation of product A. The secondary valency of Fe in the…Coordination Compounds
Q12In the ground state of atomic Fe(Z = 26), the spin-only magnetic moment is _ _ _ _ _ _ × 10⁻¹ BM. (Round off to the Nearest Integer). [Given: 3 = 1.73, 2 =…d- and f-Block Elements
Q13A KCl solution of conductivity 0.14 S m⁻¹ shows a resistance of 4.19 Ω in a conductivity cell. If the same cell is filled with an HCl solution, the resistance…Redox Reactions and Electrochemistry
Q15The number of chlorine atoms in 20 mL of chlorine gas at STP is _ _ _ _ ₁0²¹. (Round off to the Nearest Integer). [Assume chlorine is an ideal gas at STP R =…Gaseous State
Q22KBr is doped with 10⁻⁵ mole percent of SrBr₂. The number of cationic vacancies in 1g of KBr crystal is _ _ _ _ _ _ 10¹⁴. (Round off to the Nearest Integer)…Solid State
Q23A 1 molal K₄Fe(CN)₆ solution has a degree of dissociation of 0.4. Its boiling point is equal to that of another solution which contains 18.1 weight percent of…Solutions
Q167C₁₂H₂₂O₁₁ + H₂O Enzyme A C₆H₁₂O₆ Glu cos e + C₆H₁₂O₆ Fructose C₆H₁₂O₆ Glu cos e Enzyme B 2C₂H₅OH + 2C O₂ In the above reactions, the enzyme A and enzyme B…Biomolecules
Q168Fructose is an example of:Biomolecules
Q512Match List - I with List - II. List - I Chemical Compound List - II Used as (a) Sucralose (i) Synthetic detergent (b) Glyceryl ester of stearic acid (ii)…Chemistry in Everyday Life
Q687Match List - I with List - II: List - I List - II (a) [Co (N H₃)₆ ][Cr (CN)₆ ] (i) Linkage isomerism (b) [Co (N H₃)₃ (N O₂)₃ ] (ii) Solvate isomerism (c) [Cr…Coordination Compounds
Q877The common positive oxidation states for an element with atomic number 24, are:d- and f-Block Elements
Q1091Which of the following statement(s) is (are) incorrect reason for eutrophication? (A) excess usage of fertilisers (B) excess usage of detergents (C) dense…Environmental Chemistry
Q1147The correct pair(s) of the ambident nucleophiles is(are) (A) AgCN/KCN (B) RCOOAg/RCOOK (C) AgNO₂/KNO₂ (D) AgI/KIOrganic Compounds Containing Halogens
Q1179Given below are two statements: Statement I: 2-methylbutane on oxidation with KMnO₄ gives 2-methylbutan-2-ol. Statement II: n-alkanes can be easily oxidised…Hydrocarbons
Q1199The functional groups that are responsible for the ion-exchange property of cation and anion exchange resins, respectively, are:Hydrogen
Q1420Match List - I with List - II: List - I List - II (a) Haematite (i) A l₂ O₃. x H₂ O (b) Bauxite (ii) F e₂ O₃ (c) Magnetite (iii) CuC O₃. Cu (OH)₂ (d)…Isolation of Elements
Q1824One of the by-products formed during the recovery of NH₃ from Solvay process is:S Block Elements
Q1884The set of elements that differ in mutual relationship from those of the other sets is:S Block Elements
Q2257For the coagulation of a negative sol, the species below, that has the highest flocculating power is:Surface Chemistry
Q2306During which of the following processes, does entropy decrease? (A) Freezing of water to ice at 0° C (B) Freezing of water to ice at - 10° C (C) N₂(g) +…Chemical Thermodynamics

Mathematics

Q27Let P be an arbitrary point having sum of the squares of the distances from the planes x + y + z = 0, lx - nz = 0 and x - 2y + z = 0, equal to 9. If the locus…Three Dimensional Geometry
Q28Let f: [ - 1, 1] → R be defined as f(x) = ax² + bx + c for all x [ - 1, 1], where a, b, c R such that f(- 1) = 2, f'(- 1) = 1 for x (- 1, 1) the maximum value…Limit, Continuity and Differentiability
Q30Let f: [ - 3, 1] → R be given as f(x) = \ min (x + 6),x² - 3 ≤ x ≤ 0 max x,x², 0 ≤ x ≤ 1.. If the area bounded by y = f(x) and x-axis is A, then the value of…Integral Calculus
Q31Let the coefficients of third, fourth and fifth terms in the expansion of (x + a/(x²))ⁿ,x ≠ 0, be in the ratio 12: 8: 3. Then the term independent of x in the…Binomial Theorem and Its Simple Applications
Q38Let I n = ∫₁^(e) x¹⁹(log |x|)ⁿ dx, where n N. If (20)I₁₀ = α I₉ + β I₈, for natural numbers α and β, then α - β equals to _ _ _ _ _ _.Integral Calculus
Q46If 1, log₁₀(4ˣ - 2) and log₁₀ (4ˣ + 18/5) are in arithmetic progression for a real number x, then the value of the determinant | 2(x - 1/2) x - 1 x² 1 0 x x 1…Matrices and Determinants
Q47Let A = [ a b c d ] and B = [ α β ] ≠ [ 0 0 ] such that AB = B and a + d = 2021, then the value of ad - bc is equal to _ _ _ _ _ _.Matrices and Determinants
Q51Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n numbers is 6 and the mean of the remaining n numbers is 3. A new set is…Statistics and Probability
Q52Let tan α, tan β and tan γ; α, β, γ ≠ ((2n - 1)π)/2, n N be the slopes of three line segments OA, OB and OC, respectively, where O is origin. If circumcentre…Coordinate Geometry
Q54Let x be a vector in the plane containing vectors a = 2 i - j + k and b = i + 2 j - k. If the vector x is perpendicular to (3 i + 2 j - k) and its projection…Vector Algebra
Q2429If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line (x + 1)/2 = (y - 3)/1 = (z + 2)/(- 1) and containing the…Three Dimensional Geometry
Q2719Consider the function f: R → R defined by f(x) = \ (2 - sin (1/x))|x|,x ≠ 0 0, x = 0.. Then f is:Limit, Continuity and Differentiability
Q2994The value of Σ r = 0 ⁶ (⁶C r. ⁶C 6 - r) is equal to:Binomial Theorem and Its Simple Applications
Q3130Let the tangent to the circle x² + y² = 25 at the point R(3, 4) meet x-axis and y-axis at points P and Q, respectively. If r is the radius of the circle…Coordinate Geometry
Q3131Two tangents are drawn from a point P to the circle x² + y² - 2x - 4y + 4 = 0, such that the angle between these tangents is tan ⁻¹(12/5), where tan ⁻¹(12/5)…Coordinate Geometry
Q3186Let S₁, S₂ and S₃ be three sets defined as S₁ = z C: |z - 1| ≤ 2 S₂ = z C: Re((1 - i)z) ≥ 1 S₃ = z C: Im(z) ≤ 1 Then the set S₁ S₂ S₃:Complex Numbers and Quadratic Equations
Q3311Let f: R → R be defined as f(x) = e⁻ˣsinx. If F: [0, 1] → R is a differentiable function with that F(x) = ∫₀ˣ f(t)dt, then the value of ∫₀¹ (F'(x) + f(x))eˣdx…Integral Calculus
Q3403If the integral ∫₀¹⁰ ([ sin 2π x])/(e^(x - [x])) dx = α e⁻¹ + β e^(- 1/2) + γ, where α, β, γ are integers and [x] denotes the greatest integer less than or…Integral Calculus
Q3529If the curve y = y(x) is the solution of the differential equation 2(x² + x^(5/4))dy - y(x + x^(1/4))dx = 2x^(9/4)dx, x > 0 which passes through the point…Differential Equations
Q3530Let y = y(x) be the solution of the differential equation cos x(3 sin x + cos x + 3)dy = (1 + y sin x(3 sin x + cos x + 3))dx,0 ≤ x ≤ (π)/2,y(0) = 0. Then…Differential Equations
Q4060The number of solutions of the equation sin ⁻¹[ x² + 1/3 ] + cos ⁻¹[ x² - 2/3 ] = x², for x [ - 1, 1], and [x] denotes the greatest integer less than or equal…Trigonometry
Q4234The value of lim n → ∞ ([r] + [2r] +... + [nr])/(n²), where r is a non-zero real number and [r] denotes the greatest integer less than or equal to r, is equal…Limit, Continuity and Differentiability
Q4284The value of the limit lim θ → 0 (tan (π cos ²θ))/(sin (2π sin ²θ)) is equal to:Limit, Continuity and Differentiability
Q4346If the Boolean expression (p q) (p q) is a tautology, then and are respectively given by:Mathematical Reasoning
Q4464If x, y, z are in arithmetic progression with common difference d, x ≠ 3d, and the determinant of the matrix [ 3 4 2 x 4 5 2 y 5 k z ] is zero, then the value…Matrices and Determinants
Q4686Let L be a tangent line to the parabola y² = 4x - 20 at (6, 2). If L is also a tangent to the ellipse (x²)/2 + (y²)/b = 1, then the value of b is equal to:Coordinate Geometry
Q4762If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points respectively, then the total number of triangles that can be constructed using…Permutations and Combinations
Q4914Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be 1/2 and…Statistics and Probability
Q5729Let O be the origin. Let OP = x i + y j - k and OQ = - i + 2 j + 3x k, x, y R, x > 0, be such that | PQ | = √(20) and the vector OP is perpendicular OQ. If OR…Vector Algebra