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

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JEE Main 202126 Feb, Evening shift

Physics 23Chemistry 24Mathematics 30

Physics

Q57If the highest frequency modulating a carrier is 5 kHz, then the number of AM broadcast stations accommodated in a 90 kHz bandwidth are _ _ _ _ _.Communication Systems
Q60Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value…Dual Nature of Matter and Radiation
Q6327 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is _…Electrostatics
Q67The volume V of a given mass of monoatomic gas changes with temperature T according to the relation V = K T^(2/3). The workdone when temperature changes by…Thermodynamics
Q681 mole of rigid diatomic gas performs a work of Q/5 when heat Q is supplied to it. The molar heat capacity of the gas during this transformation is xR/8. The…Thermodynamics
Q74A particle executes S.H.M. with amplitude 'a', and time period 'T'. The displacement of the particle when its speed is half of maximum speed is (x a)/2. The…Oscillations and Waves
Q76Time period of a simple pendulum is T. The time taken to complete 5/8 oscillations starting from mean position is (α)/(β)T. The value of α is _ _ _ _ _.Oscillations and Waves
Q6103A radioactive sample is undergoing α decay. At any time t₁, its activity is A and another time t₂, the activity is A/5. What is the average life time for the…Atoms and Nuclei
Q6516A wire of 1 Ω has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in resistance to the nearest integer is:Current Electricity
Q6601The recoil speed of a hydrogen atom after it emits a photon in going from n = 5 state to n = 1 state will be:Dual Nature of Matter and Radiation
Q6721An aeroplane, with its wings spread 10 m, is flying at a speed of 180 km/h in a horizontal direction. The total intensity of earth's field at that part is 2.5…Electromagnetic Induction and Alternating Currents
Q6945Given below are two statements: Statement I: An electric dipole is placed at the center of a hollow sphere. The flux of the electric field through the sphere…Electrostatics
Q7066Given below are two statements: one is labeled as Assertion A and the other is labeled as Reason R. Assertion A: For a simple microscope, the angular size of…Optics
Q7081The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors a, b and c respectively. Then choose the correct relation for…Optics
Q7303The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U = 3PV + 4. The gas is:Thermodynamics
Q7783The trajectory of a projectile in a vertical plane is y = α x - β x², where α and β are constants and x y are respectively the horizontal and vertical…Kinematics
Q7846A scooter accelerates from rest for time t₁ at constant rate a₁ and then retards at constant rate a₂ for time t₂ and comes to rest. The correct value of t₁/t₂…Kinematics
Q7940The length of metallic wire is l₁ when tension in it is T₁. It is l₂ when the tension is T₂. The original length of the wire will be:Properties of Solids and Liquids
Q8055A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and the moment of inertia about it is I. A weight mg is…Rotational Motion
Q8156A particle executes S.H.M., the graph of velocity as a function of displacement is:Oscillations and Waves
Q8202Given below are two statements: Statement I: A second's pendulum has a time period of 1 second. Statement II: It takes precisely one second to move between…Oscillations and Waves
Q8245If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of λ where C/V = λ ?Units and Measurements
Q8554A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2…Oscillations and Waves

Chemistry

Q5If the activation energy of a reaction is 80.9 kJ mol⁻¹, the fraction of molecules at 700 K, having enough energy to react to form products is e⁻ˣ. The value…Chemical Kinetics
Q7The number of stereoisomers possible for [Co(ox)₂(Br)(NH₃)]² - is _ _ _ _ _ _. [ox = oxalate]Coordination Compounds
Q8In mildly alkaline medium, thiosulphate ion is oxidized by MnO₄^(- t)o "A". The oxidation state of sulphur in "A" is _ _ _ _ _.d- and f-Block Elements
Q9Ceric ammonium nitrate and CHCl₃/alc. KOH are used for the identification of functional groups present in _ _ _ _ _ and _ _ _ r espectively.Organic Compounds Containing Oxygen
Q9Emf of the following cell at 298K in V is x × 10⁻². Zn|Zn²⁺(0.1 M)||Ag⁺ (0.01 M)|Ag The value of x is _ _ _ _ _. (Rounded off to the nearest integer) [Given…Redox Reactions and Electrochemistry
Q11The pH of ammonium phosphate solution, if pk a of phosphoric acid and pk b of ammonium hydroxide are 5.23 and 4.75 respectively, is _ _ _ _ _ _.Equilibrium
Q19The number of octahedral voids per lattice site in a lattice is _ _ _ _ _. (Rounded off to the nearest integer)Solid State
Q20When 12.2 g of benzoic acid is dissolved in 100 g of water, the freezing point of solution was found to be - 0.93° C (K f (H₂O) = 1.86 K kg mol⁻¹). The number…Solutions
Q21The NaNO₃ weighed out to make 50 mL of an aqueous solution containing 70.0 mg Na⁺ per mL is _ _ _ _ g. (Rounded off to the nearest integer) [Given: Atomic…Some Basic Concepts in Chemistry
Q23A ball weighing 10 g is moving with a velocity of 90 ms⁻¹. If the uncertainty in its velocity is 5%, then the uncertainty in its position is _ _ _ _ _ _ ×…Atomic Structure
Q25The average S-F bond energy in kJ mol⁻¹ of SF₆ is _ _ _ _ _ _ _. (Rounded off to the nearest integer) [Given: The values of standard enthalpy of formation of…Chemical Thermodynamics
Q642, 4-DNP test can be used to identify:Organic Compounds Containing Oxygen
Q166Match List - I with List - II. List - I List - II (a) Sucrose (i) β -D-Galactose and β -D-Glucose (b) Lactose (ii) α -D-Glucose and β -D-Fructose (c) Maltose…Biomolecules
Q371Match List - I with List - II. List - I (Molecule) List - II (Bond order) (a) N e₂ (i) 1 (b) N₂ (ii) 2 (c) F₂ (iii) 0 (d) O₂ (iv) 3 Choose the correct answer…Chemical Bonding and Molecular Structure
Q538A. Phenyl methanamine B. N,N-Dimethylaniline C. N-Methyl aniline D. Benzenamine Choose the correct order of basic nature of the above amines.Organic Compounds Containing Nitrogen
Q1387Match List - I with List - II. List - I List - II (a) Sodium Carbonate (i) Deacon (b) Titanium (ii) Castner-Kellner (c) Chlorine (iii) van-Arkel (d) Sodium…Isolation of Elements
Q1388Calgon is used for water treatment. Which of the following statement is NOT true about Calgon?Isolation of Elements
Q1419Match List - I with List - II. List - I List - II (a) Siderite (i) Cu (b) Calamine (ii) Ca (c) Malachite (iii) Fe (d) Cryolite (iv) Al (v) Zn Choose the…Isolation of Elements
Q1453Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: In TlI₃, isomorphous to CsI₃, the metal is…p-Block Elements
Q1574The correct order of electron gain enthalpy is:Classification of Elements and Periodicity in Properties
Q1635Which pair of oxides is acidic in nature?Classification of Elements and Periodicity in Properties
Q1729Seliwanoff test and Xanthoproteic test are used for the identification of _ _ _ _ _ a nd _ _ _ _ respectively.Principles Related to Practical Chemistry
Q2119Which of the following forms of hydrogen emits low energy β ⁻ particles?Atomic Structure
Q2254The nature of charge on resulting colloidal particles when FeCl₃ is added to excess of hot water is:Surface Chemistry

Mathematics

Q28Let a be an integer such that all the real roots of the polynomial 2x⁵ + 5x⁴ + 10x³ + 10x² + 10x + 10 lie in the interval (a, a + 1). Then, |a| is equal to _…Limit, Continuity and Differentiability
Q30Let the normals at all the points on a given curve pass through a fixed point (a, b). If the curve passes through (3, - 3) and (4, - 2 2), and given that a…Limit, Continuity and Differentiability
Q34Let z be those complex numbers which satisfy | z + 5 | ≤ 4 and z(1 + i) + z (1 - i) ≥ - 10, i = √(- 1). If the maximum value of | z + 1 |² is α + β 2, then…Complex Numbers and Quadratic Equations
Q37If I m,n = ∫₀¹ x^(m - 1)(1 - x)ⁿ⁻¹dx, for m, n ≥ 1, and ∫₀¹ (x^(m - 1) + xⁿ⁻¹)/((1 + x)^(m + 1)) dx = α I m,n α R, then α equals _ _ _ _ _ _.Integral Calculus
Q38Let L be a common tangent line to the curves 4x² + 9y² = 36 and (2x)² + (2y)² = 31. Then the square of the slope of the line L is _ _ _ _ _.Coordinate Geometry
Q45If the matrix A = [ 1 0 0 0 2 0 3 0 - 1 ] satisfies the equation A²⁰ + α A¹⁹ + β A = [ 1 0 0 0 4 0 0 0 1 ] for some real numbers α and β, then β - α is equal…Matrices and Determinants
Q50Let α and β be two real numbers such that α + β = 1 and α β = - 1. Let p n = (α)ⁿ + (β)ⁿ, p n - 1 = 11 and p n +1 = 29 for some integer n ≥ 1. Then, the value…Complex Numbers and Quadratic Equations
Q51If the arithmetic mean and geometric mean of the p^(t)h and q^(t)h terms of the sequence - 16, 8, - 4, 2,...... satisfy the equation 4x² - 9x + 5 = 0, then p…Sequence and Series
Q52The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is _ _ _ _ _.Sequence and Series
Q54Let X₁, X₂,......., X₁₈ be eighteen observations such that Σ i = 1 ¹⁸ (X i - α) = 36 and Σ i = 1 ¹⁸ (X i - β)² = 90, where α and β are distinct real numbers…Statistics and Probability
Q2427Let L be a line obtained from the intersection of two planes x + 2y + z = 6 and y + 2z = 4. If point P(α, β, γ) is the foot of perpendicular from (3, 2, 1) on…Three Dimensional Geometry
Q2582If the mirror image of the point (1, 3, 5) with respect to the plane 4x - 5y + 2z = 8 is (α, β, γ), then 5(α + β + γ) equals:Three Dimensional Geometry
Q2783Let slope of the tangent line to a curve at any point P(x, y) be given by x y² + y x. If the curve intersects the line x + 2y = 4 at x = - 2, then the value…Limit, Continuity and Differentiability
Q2883Let A₁ be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A₂ be the area of the region bounded by…Integral Calculus
Q3050If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x² + y² = 1 is a circle of radius r, then r is equal to:Coordinate Geometry
Q3109Let A(1, 4) and B(1, - 5) be two points. Let P be a point on the circle (x - 1)² + (y - 1)² = 1 such that (PA)² + (PB)² have maximum value, then the points…Coordinate Geometry
Q3310Let f(x) = ∫₀ˣ e^(t)f(t)dt + eˣ be a differentiable function for all x R. Then f(x) equals:Integral Calculus
Q3399For x > 0, if f(x) = ∫₁ˣ (log e t)/((1 + t))dt, then f(e) + f(1/e) is equal to:Integral Calculus
Q3803Let A = 1,2,3,....,10 and f:A → A be defined as f(k) = \ k + 1 if k is odd k if k is even. Then the number of possible functions g:A → A such that gof = f is:Sets, Relations and Functions
Q4101If 0 < a, b < 1, and tan⁻¹a + tan⁻¹b = (π)/4, then the value of (a + b) - ((a² + b²)/2) + ((a³ + b³)/3) - ((a⁴ + b⁴)/4) +..... is:Trigonometry
Q4143Let f: R → R be defined as f(x) = \ 2 sin (- (π x)/2),if x < - 1 |a x² + x + b|, if - 1 ≤ x ≤ 1 sin (π x), if x > 1. If f(x) is continuous on R, then a + b…Limit, Continuity and Differentiability
Q4199Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then lim x → a (xf(a) - af(x))/(x - a) equals:Limit, Continuity and Differentiability
Q4233Let f(x) = sin ⁻¹x and g(x) = (x² - x - 2)/(2x² - x - 6). If g(2) = lim x → 2 g(x), then the domain of the function fog is:Limit, Continuity and Differentiability
Q4343Let F₁(A, B, C) = (A B) [ C (A B)] A and F₂(A, B) = (A B) (B → A) be two logical expressions. Then:Mathematical Reasoning
Q4589Consider the following system of equations: x + 2y - 3z = a 2x + 6y - 11z = b x - 2y + 7z = c, where a, b and c are real constants. Then the system of…Matrices and Determinants
Q4805A natural number has prime factorization given by n = 2ˣ3^(y)5^(z), where y and z are such that y + z = 5 and y⁻¹ + z⁻¹ = 5/6, y > z. Then the number of odd…Permutations and Combinations
Q4982A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 2, is:Statistics and Probability
Q5028The triangle of maximum area that can be inscribed in a given circle of radius 'r' is:Properties of Triangle
Q5320The sum of the series Σ n = 1 ^∞ (n² + 6n + 10)/((2n + 1)!) is equal to:Sequence and Series
Q5691If vectors a₁ = x i - j + k and a₂ = i + y j + z k are collinear, then a possible unit vector parallel to the vector x i + y j + z k is:Vector Algebra