JEE Main 2020 (Online) 6th September Morning Slot — Question Paper

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Physics

• In the figure below, P and Q are two equally intense coherent sources emitting radiation…
• Identify the correct output signal Y in the given combination of gates (as shown) for…
• Two bodies of the same mass are moving with the same speed, but in different directions…
• The density of a solid metal sphere is determined by measuring its mass and its…
• An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the…
• A point like object is placed at a distance of 1 m in front of a convex lens of focal…
• Charges Q₁ and Q₂ are at points A and B of a right angle triangle OAB (see figure). The…
• Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M…
• Initially a gas of diatomic molecules is contained in a cylinder of volume V₁ at a…
• An AC circuit has R= 100 Ω, C = 2 μF and L = 80 mH, connected in series. The quality…
• A satellite is in an elliptical orbit around a planet P. It is observed that the…
• Molecules of an ideal gas are known to have three translational degrees of freedom and…
• Suppose that intensity of a laser is 315/π W/m². The rms electric field, in units of V/m…
• A particle of charge q and mass m is moving with a velocity - vî (v ≠ 0) towards a large…
• An object of mass m is suspended at the end of a massless wire of length L and area of…
• An electron, a doubly ionized helium ion (He⁺⁺) and a proton are having the same kinetic…
• A clock has a continuously moving second's hand of 0.1 m length. The average…
• An electron is moving along +x direction with a velocity of 6 × 10⁶ ms –1 . It enters a…
• A sound source S is moving along a straight track with speed v, and is emitting, sound…
• You are given that Mass of ₃⁷Li = 7.0160u, Mass of ₂⁴He = 4.0026u and Mass of ₁¹H =…
• A part of a complete circuit is shown in the figure. At some instant, the value of…
• If the potential energy between two molecules is given by U = - A/r⁶ + B/r¹², then at…
• Four point masses, each of mass m, are fixed at the corners of a square of side l. The…
• A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units…

Chemistry

• The species that has a spin-only magnetic moment of 5.9 BM, is : (T d = tetrahedral)
• The set that contains atomic numbers of only transition elements, is :
• Kraft temperature is the temperature :
• Among the sulphates of alkaline earth metals, the solubilities of BeSO₄ and MgSO₄ in…
• The increasing order of pK b values of the following compounds is :
• The number of Cl = O bonds in perchloric acid is, "________".
• Potassium chlorate is prepared by the electrolysis of KCl in basic solution 6OH⁻ + Cl⁻ →…
• The elevation of boiling point of 0.10 m aqueous CrCl₃.xNH₃ solution is two times that…
• For the reaction Fe₂N(s) + 3/2H₂(g) ⇌ 2Fe(s) + NH₃(g)
• Consider the Assertion and Reason given below. Assertion (A) : Ethene polymerized in the…
• Arrange the following solutions in the decreasing order of pOH : (A) 0.01 M HCl (B) 0.01…
• The variation of equilibrium constant with temperature is given below : Temperature |…
• Which of the following compounds shows geometrical isomerism?
• Consider the following reactions A → P₁ ; B → P₂ ; C → P₃ ; D → P₄, The order of the…
• In an estimation of bromine by Carius method, 1.6 g of an organic compound gave 1.88 g…
• The lanthanoid that does NOT show +4 oxidation state is :
• The correct statement with respect to dinitrogen is :
• A solution of two components containing n₁ moles of the 1ˢᵗ component and n₂ moles of…

Mathematics

• The general solution of the differential equation √(1 + x² + y² + x²y²) + xydy/dx = 0 is…
• Let L₁ be a tangent to the parabola y² = 4(x + 1) and L₂ be a tangent to the parabola y²…
• The position of a moving car at time t is given by f(t) = at² + bt + c, t > 0, where a…
• Set A has m elements and set B has n elements. If the total number of subsets of A is…
• If a⃗ and b⃗ are unit vectors, then the greatest value of √3 | a⃗ + b⃗ | + | a⃗ - b⃗ |…
• Let a , b, c , d and p be any non zero distinct real numbers such that (a² + b² + c²)p²…
• The area (in sq. units) of the region A = (x, y) : |x| + |y| ≤ 1, 2y² ≥ |x|
• A ray of light coming from the point (2, 2√3) is incident at an angle 30ᵒ on the line x…
• If p denotes the fractional part of the number p, then { 3²⁰⁰/8 }, is equal to :
• The region represented by z = x + iy ∈ C : |z| – Re(z) ≤ 1 is also given by the…
• Let f : R → R be defined as f( x ) = { x⁵sin ( 1/x ) + 5x²,, x < 0; 0,, x = 0; x⁵cos (…
• If I₁ = ∫₀¹ ( 1 - x⁵⁰ )¹⁰⁰ dx and I₂ = ∫₀¹ ( 1 - x⁵⁰ )¹⁰¹ dx such that I₂ = αI₁ then α…
• Let m and M be respectively the minimum and maximum values of | cos ²x, 1 + sin ²x, sin…
• The values of λ and μ for which the system of linear equations x + y + z = 2 x + 2y + 3z…
• If f(x + y) = f(x)f(y) and Σₓ₌₁^∞ f( x ) = 2 , x, y ∈ N, where N is the set of all…
• If α and β be two roots of the equation x² – 64x + 256 = 0. Then the value of ( (α ³)/(β…
• Which of the following points lies on the locus of the foot of perpedicular drawn upon…
• Out of 11 consecutive natural numbers if three numbers are selected at random (without…
• If Σᵢ₌₁ⁿ ( xᵢ - a ) = n and Σᵢ₌₁ⁿ ( xᵢ - a )² = na (n, a > 1) then the standard…
• Two families with three members each and one family with four members are to be seated…
• The shortest distance between the lines (x - 1)/0 = (y + 1)/(- 1) = z/1 and x + y + z +…
• lim _(x → 1) ( (∫₀^(( x - 1 )²) t cos ( t² )dt)/(( x - 1 )sin ( x - 1 )) )

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