JEE Main 2020 (Online) 7th January Morning Slot — Question Paper

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Physics

• The current I₁ (in A) flowing through 1 Ω resistor in the following circuit is :
• Two moles of an ideal gas with C_P/C_V = 5/3 are mixed with 3 moles of another ideal gas…
• If the magnetic field in a plane electromagnetic wave is given by B⃗ = 3 × 10⁻⁸ sin(1.6…
• A particle (m = 1 kg) slides down a frictionless track (AOC) starting from rest at a…
• Visible light of wavelength 6000 × 10⁻⁸ cm falls normally on a single slit and produces…
• A long solenoid of radius R carries a time (t) - dependent current I(t)=I₀t(1 - t). A…
• A beam of electromagnetic radiation of intensity 6.4 × 10 –5 W/cm² is comprised of…
• Consider a circular coil of wire carrying constant current I, forming a magnetic dipole…
• If we need a magnification of 375 from a compound microscope of tube length 150 mm and…
• The time period of revolution of electron in its ground state orbit in a hydrogen atom…
• A parallel plate capacitor has plates of area A separated by distance 'd' between them…
• A litre of dry air at STP expands adiabatically to a volume of 3 litres. If γ = 1.40…
• The radius of gyration of a uniform rod of length l, about an axis passing through a…
• A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The…
• A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B(5, 0, 0), C(5, 5…
• Two infinite planes each with uniform surface charge density to are kept in such a way…
• A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical…
• A satellite of mass m is launched vertically upwards with an initial speed u from the…
• A polarizer - analyser set is adjusted such that the intensity of light coming out of…
• Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of…
• A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000…
• As shown in the figure, a bob of mass m is tied by a massless string whose other end…
• Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of…
• A non-isotropic solid metal cube has coefficients of linear expansion as : 5 × 10⁻⁵/ᵒC…
• Which of the following gives a reversible operation?

Chemistry

• The increasing order to P kb for the following compounds will be :
• During the nuclear explosion, one of the products is ⁹⁰Sr with half life of 6.93 years…
• Consider the following reaction : ( CH₃ )₃CCH( OH )CH₃→(conc. H₂SO₄) ( CH₃ )₂CHCH( Br…
• The relative strength of interionic/intermolecular forces in decreasing order is :
• Chlorine reacts with hot and concentrated NaOH and produces compounds (X) and (Y)…
• A solution of m-chloronailimne, m-chlorophenol and m-chlorobenzoic acid in ethyal…
• The electron gain enthalpy (in KJ/mol) of fluorine, chlorine, bromine and iodine…
• Consider the following reaction : The product 'X' is used :
• In comparison to the zeolite process for the removal of permanent hardness, the…
• The atomic radius of Ag is closed to :
• Amongst the following statements, that which was not proposed by Dalton was :
• Oxidation number of potassium in K₂O. K₂O₂ and KO₂ respectively is :
• For the reaction : A(l) → 2B(g) Δ U = 2.1 kcal, Δ S = 20 cal K⁻¹ at 300 K Hence ΔG in…
• The theory that can completely/properly explain the nature of bonding in [Ni(Co)₄] is :
• The number of orbitals associated with quantum number n = 5, mₛ = +1/2 is :
• Two solutions, A and B, each of 100L was made by dissolving 4g of NaOH and 9.8 g of…
• The purest from of commercial iron is :
• The dipole of CCl₄, CHCl₃ and CH₄ are in the order :
• Given that the standard potentials (Eᵒ) of Cu²⁺/Cu and Cu⁺/Cu are 0.34 V and 0.522 V…
• Match the following : (i) Riboflavin (a) Beriberi (ii) Thiamine (b) Scurvy (iii)…
• The number of chiral carbons in chloramphenicol is
• The IUPAC name of complex [Pt(NH₃)₂Cl(NH₂CH₃)]Cl is:
• At 35ᵒC, the vapour pressure of CS₂ is 512 mm. Hg and that of acetone is 344 mm Hg. A…

Mathematics

• If the sum of the coefficients of all even powers of x in the product (1 + x + x² +…
• Let A(1, 0), B(6, 2) and C (3/2,6) be the vertices of a triangle ABC. If P is a Point…
• Let xᵏ + yᵏ = aᵏ, (a, k > 0 ) and dy/dx + ( y/x )^(1/3) = 0, then k is:
• If the variance of the first n natural numbers is 10 and the variance of the first m…
• Let α and β be two real roots of the equation (k + 1)tan²x - √2 . λtanx = (1 - k), where…
• If Re ( (z - 1)/(2z + i) ) = 1, where z = x + iy, then the point (x, y) lies on a :
• The area of the region, enclosed by the circle x² + y² = 2 which is not common to the…
• If g(x) = x² + x - 1 and (goƒ) (x) = 4x² - 10x + 5, then ƒ( 5/4 ) is equal to:
• Let P be a plane passing through the points (2, 1, 0), (4, 1, 1) and (5, 0, 1) and R be…
• Let the function, ƒ:[-7, 0]→R be continuous on [-7,0] and differentiable on (-7, 0). If…
• Let α be a root of the equation x² + x + 1 = 0 and the matrix A = 1/√3[ 1, 1, 1; 1, α, α…
• Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9…
• Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x ∈ R is not…
• If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers…
• If y = y(x) is the solution of the differential equation, eʸ( dy/dx - 1 ) = eˣ such that…
• lim _(x → 2) (3ˣ + 3³⁻ˣ - 12)/(3^(- x/2) - 3¹⁻ˣ) is equal to_______.
• If the system of linear equations 2x + 2ay + az = 0 2x + 3by + bz = 0 2x + 4cy + cz = 0…
• If the distance between the foci of an ellipse is 6 and the distance between its…
• If y( α ) = √(2( (tan α + cot α)/(1 + tan ²α) ) + 1/(sin ²α)) ,α ∈ ( 3π/4,π ) dy/dα at α…
• The greatest positive integer k, for which 49ᵏ + 1 is a factor of the sum 49¹²⁵ + 49¹²⁴…
• An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of k…
• If y = mx + 4 is a tangent to both the parabolas, y² = 4x and x² = 2by, then b is equal…
• A vector a⃗ = α î + 2ĵ + β k̂( α ,β ∈ R ) lies in the plane of the vectors, b⃗ = î + ĵ…
• Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five…

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