JEE Main 2021 (Online) 16th March Morning Shift — Question Paper

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Physics

• In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the…
• A bar magnet of length 14 cm is placed in the magnetic meridian with its north pole…
• The maximum and minimum distances of a comet from the Sun are 1.6 × 10¹² m and 8.0 ×…
• In thermodynamics, heat and work are :
• A ball of mass 10 kg moving with a velocity 10√3 m s⁻¹ along X-axis, hits another ball…
• A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along…
• One main scale division of a vernier callipers is 'a' cm and nᵗʰ division of the vernier…
• A conducting wire of length 'l', area of cross-section A and electric resistivity ρ is…
• The value of power dissipated across the zener diode (V z = 15V) connected in the…
• For an electromagnetic wave travelling in free space, the relation between average…
• A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is…
• An RC circuit as shown in the figure is driven by a AC source generating a square wave…
• The pressure acting on a submarine is 3 × 10⁵ Pa at a certain depth. If the depth is…
• For changing the capacitance of a given parallel plate capacitor, a dielectric material…
• A block of mass m slides along a floor while a force of magnitude F is applied to it at…
• Time period of a simple pendulum is T inside a lift when the lift is stationary. If the…
• In the figure given, the electric current flowing through the 5 kΩ resistor is 'x' mA…
• The velocity-displacement graph describing the motion of bicycle is shown in the figure…
• The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of…
• The angle of deviation through a prism is minimum when (A) Incident ray and emergent ray…
• The stopping potential in the context of photoelectric effect depends on the following…
• Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its…
• The first three spectral lines of H-atom in the Balmer series are given λ₁, λ₂, λ₃…
• A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R…
• A conducting bar of length L is free to slide on two parallel conducting rails as shown…
• Four equal masses, m each are placed at the comers of a square of length (l) as shown in…
• The resistance R = V/I, where V = (50 ± 2)V and I = (20 ± 0.2)A. The percentage error in…
• A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with…

Chemistry

• Given below are two statement : one is labelled as Assertion A and the other is labelled…
• Given below are two statements : one is labeled as Assertion A and the other is labelled…
• Complete combustion of 750 g of an organic compound provides 420 g of CO₂ and 210 g of…
• Match List - I with List - II : List - I Name of oxo acid | List - II Oxidation state of…
• A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm⁻³. The molarity of the…
• Which of the following reactions DOES NOT involve Hoffmann bromamide degradation?
• In the above chemical reaction, intermediate ''X'' and reagent/condition ''A'' are :
• A certain element crystallises in a bcc lattice of unit cell edge length 27Aᵒ. If the…
• Match List - I with List - II : List - I Industrial process | List - II Application; (a)…
• Given below are two statements : Statement I : H₂O₂ can act as both oxidising and…
• The process that involves the removal of sulphur from the ores is :
• Among the following, the aromatic compounds are : Choose the correct answer from the…
• In chromotography technique, the purification of compound is independent of :
• The decomposition of formic acid on gold surface follows first order kinetics. If the…
• Given below are two statements : Statement I : Both CaCl₂ . 6H₂O and MgCl₂ . 8H₂O…
• AB₂ is 10% dissociated in water to A²⁺ and B⁻. The boiling point of a 10.0 molal aqueous…
• Given below are two statements : Statement I : The Eᵒ value for Ce⁴⁺ / Ce³⁺ is + 1.74 V…
• Which of the following is Lindlar catalyst?
• A group of 15 element, which is a metal and forms a hydride with strongest reducing…
• When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the…
• The functions of antihistamine are :
• For the reaction A(g)⇌ B(g) at 495 K, ΔᵣG° = -9.478 kJ mol⁻¹. If we start the reaction…
• Which among the following pairs of Vitamins is stored in our body relatively for longer…
• 2MnO₄ - + bC₂O₄²⁻ + cH + → xMn²⁺ + yCO₂ + zH₂O If the above equation is balanced with…
• Two salts A₂X and MX have the same value of solubility product of 4.0 × 10⁻¹². The ratio…
• The equivalents of ethylene diamine required to replace the neutral ligands from the…

Mathematics

• If the three normals drawn to the parabola, y² = 2x pass through the point (a, 0) a ≠ 0…
• If y = y(x) is the solution of the differential equation, dy/dx + 2y tan x = sin x,y(…
• The total number of 3 × 3 matrices A having entries from the set 0, 1, 2, 3 such that…
• The number of elements in the set x ∈ R : (|x| - 3) |x + 4| = 6 is equal to :
• Let [ x ] denote greatest integer less than or equal to x. If for n∈N, (1 - x + x³)ⁿ =…
• If for x ∈ (0,π/2), log₁₀sinx + log₁₀cosx = -1 and log₁₀(sinx + cosx) = 1/2(log₁₀ n -…
• Let P be a plane lx + my + nz = 0 containing the line, (1 - x)/1 = (y + 4)/2 = (z +…
• If n is the number of irrational terms in the expansion of ( 3^(1/4) + 5^(1/8) )⁶⁰, then…
• Let Sₖ = Σᵣ₌₁ᵏ tan ⁻¹( 6ʳ/(2²ʳ⁺¹ + 3²ʳ⁺¹) ) . Then lim _(k → ∞) Sₖ is equal to :
• Let the curve y = y(x) be the solution of the differential equation, dy/dx = 2(x + 1)…
• Consider three observations a, b, and c such that b = a + c. If the standard deviation…
• Let z and ω be two complex numbers such that ω = zz̅ - 2z + 2,| (z + i)/(z - 3i) | = 1…
• Let the functions f : R → R and g : R → R be defined as : f(x) = { x + 2,, x < 0; x²,, x…
• The range of a∈R for which the function f(x) = (4a - 3)(x + logₑ 5) + 2(a - 7) cot( x/2…
• Let f : (0, 2) → R be defined as f(x) = log₂( 1 + tan ( (π x)/4 ) ). Then, lim _(n → ∞)…
• Let f : R → R be a continuous function such that f(x) + f(x + 1) = 2, for all x∈R. If I₁…
• If lim _(x → 0) (aeˣ - b cos x + ce⁻ˣ)/(x sin x) = 2, then a + b + c is equal to…
• A pack of cards has one card missing. Two cards are drawn randomly and are found to be…
• If the normal to the curve y(x) = ∫₀ˣ (2t² - 15t + 10)dt at a point (a, b) is parallel…
• Let the position vectors of two points P and Q be 3î - ĵ + 2k̂ and î + 2ĵ - 4k̂…
• The locus of the midpoints of the chord of the circle, x² + y² = 25 which is tangent to…
• Let a complex number z, |z| ≠ 1, satisfy log _(1/√2)( (|z| + 11)/(|z| - 1)² ) ≤ 2. Then…
• If for a > 0, the feet of perpendiculars from the points A(a, -2a, 3) and B(0, 4, 5) on…
• The number of roots of the equation, (81) sin²x + (81) cos²x = 30 in the interval [ 0, π…
• Let A = [ i, - i; - i, i ],i = √(- 1) . Then, the system of linear equations A⁸[ x; y ]…
• Let P = [ - 30, 20, 56; 90, 140, 112; 120, 60, 14 ] and A = [ 2, 7, ω ²; - 1, - ω, 1; 0…
• Consider an arithmetic series and a geometric series having four initial terms from the…

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