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JEE Main 2020 7 Jan Morning shift Question Paper with Solutions | JEE Arc

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JEE Main 20207 Jan, Morning shift

Physics 17Chemistry 17Mathematics 25

Physics

Q48A beam of electromagnetic radiation of intensity 6.4 × 10^–5 W/cm² is comprised of wavelength, λ = 310 nm. It falls normally on a metal (work function φ =…Dual Nature of Matter and Radiation
Q49A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B(5, 0, 0), C(5, 5, 0), D (0, 5, 0), E(0, 5, 5) and F(0, 0, 5). The magnetic field in this…Electromagnetic Induction and Alternating Currents
Q57A non-isotropic solid metal cube has coefficients of linear expansion as: 5 × 10⁻⁵/^(o)C along the x-axis and 5 × 10⁻⁶/^(o)C along the y and the z-axis. If…Thermodynamics
Q5880A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct…Electromagnetic Induction and Alternating Currents
Q5995The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6 × 10⁻¹⁶ s. The frequency of revolution of the electron in its…Atoms and Nuclei
Q6704A long solenoid of radius R carries a time (t) - dependent current I(t)=I₀t(1 - t). A ring of radius 2R is placed coaxially near its middle. During the time…Electromagnetic Induction and Alternating Currents
Q6705Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an infinite plane that contains the…Electromagnetic Induction and Alternating Currents
Q6770If the magnetic field in a plane electromagnetic wave is given by B = 3 × 10⁻⁸ sin(1.6 × 10³x + 48 × 10¹⁰t) j T, then what will be expression for electric…Electromagnetic Waves
Q7063If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of focal length 5 mm, the focal length of the eye-piece…Optics
Q7194A satellite of mass m is launched vertically upwards with an initial speed u from the surface of the earth. After it reaches height R (R = radius of the…Gravitation
Q7458Two moles of an ideal gas with C P /C V = 5/3 are mixed with 3 moles of another ideal gas with C P /C V = 4/3. The value of C P /C V for the mixture is:Thermodynamics
Q7483A litre of dry air at STP expands adiabatically to a volume of 3 litres. If γ = 1.40, the work done by air is: (3¹.4 = 4.6555) [Take air to be an ideal gas]Thermodynamics
Q8096The radius of gyration of a uniform rod of length l, about an axis passing through a point l/4 away from the centre of the rod, and perpendicular to it, is:Rotational Motion
Q8400Visible light of wavelength 6000 × 10⁻⁸ cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum…Optics
Q8462A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the original intensity. Assuming that the…Optics
Q8500Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section 1.0 mm²) is 90 ms⁻¹. If the Young's modulus of wire is 16 ×…Oscillations and Waves
Q8604A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg. If the frictional force on the elevator is 4000 N, the speed of the…Work, Energy and Power

Chemistry

Q12Two solutions, A and B, each of 100L was made by dissolving 4g of NaOH and 9.8 g of H₂SO₄ in water, respectively. The pH of the resultant solution obtained…Equilibrium
Q20For the reaction: A(l) → 2B(g) Δ U = 2.1 kcal, Δ S = 20 cal K⁻¹ at 300 K Hence Δ G in kcal is:Chemical Thermodynamics
Q232Match the following: (i) Riboflavin (a) Beriberi (ii) Thiamine (b) Scurvy (iii) Pyridoxine (c) Cheliosis (iv) Ascorbic acid (d) ConvulsionsBiomolecules
Q267The dipole of CCl₄, CHCl₃ and CH₄ are in the order:Chemical Bonding and Molecular Structure
Q389The relative strength of interionic/intermolecular forces in decreasing order is:Chemical Bonding and Molecular Structure
Q625The theory that can completely/properly explain the nature of bonding in [Ni(Co)₄] is:Coordination Compounds
Q700The IUPAC name of complex [Pt(NH₃)₂Cl(NH₂CH₃)]Cl is:Coordination Compounds
Q814The atomic radius of Ag is closed to:d- and f-Block Elements
Q997Given that the standard potentials (E^(o)) of Cu²⁺/Cu and Cu⁺/Cu are 0.34 V and 0.522 V respectively, the E^(o) of Cu²⁺/Cu⁺:Redox Reactions and Electrochemistry
Q1196In comparison to the zeolite process for the removal of permanent hardness, the synthetic resins method is:Hydrogen
Q1384The purest from of commercial iron is:Isolation of Elements
Q1572The electron gain enthalpy (in KJ/mol) of fluorine, chlorine, bromine and iodine, respectively are:Classification of Elements and Periodicity in Properties
Q1767A solution of m-chloronailimne, m-chlorophenol and m-chlorobenzoic acid in ethyal acetate was extracted initially with a saturated solution of NaHCO₃ to give…Principles Related to Practical Chemistry
Q1805Oxidation number of potassium in K₂O. K₂O₂ and KO₂ respectively is:Redox Reactions and Electrochemistry
Q2015At 35^(o)C, the vapour pressure of CS₂ is 512 mm. Hg and that of acetone is 344 mm Hg. A solution of CS₂ in acetone has a total vapour pressure of 600 mm Hg…Solutions
Q2060Amongst the following statements, that which was not proposed by Dalton was:Some Basic Concepts in Chemistry
Q2199The number of orbitals associated with quantum number n = 5, m s = + 1/2 is:Atomic Structure

Mathematics

Q25If the sum of the coefficients of all even powers of x in the product (1 + x + x² +....+ x²n)(1 - x + x² - x³ +...... + x²n) is 61, then n is equal to _ _ _ _.Binomial Theorem and Its Simple Applications
Q33Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x R is not differentiable. Then Σ x S f(f(x)) is equal to _ _ _.Limit, Continuity and Differentiability
Q34lim x → 2 (3ˣ + 3³⁻ˣ - 12)/(3^(- x/2) - 3¹⁻ˣ) is equal to _ _ _ _.Limit, Continuity and Differentiability
Q43If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m + n is equal to _ _ _.Statistics and Probability
Q44Let A(1, 0), B(6, 2) and C (3/2,6) be the vertices of a triangle ABC. If P is a Point inside the triangle ABC such that the triangles APC, APB and BPC have…Coordinate Geometry
Q2577Let P be a plane passing through the points (2, 1, 0), (4, 1, 1) and (5, 0, 1) and R be any point (2, 1, 6). Then the image of R in the plane P is:Three Dimensional Geometry
Q2697Let the function, ƒ:[-7, 0] → R be continuous on [-7,0] and differentiable on (-7, 0). If ƒ(-7) = - 3 and ƒ'(x) ≤ 2, for all x (-7,0), then for all such…Limit, Continuity and Differentiability
Q2830The area of the region, enclosed by the circle x² + y² = 2 which is not common to the region bounded by the parabola y² = x and the straight line y = x, is:Integral Calculus
Q2892The greatest positive integer k, for which 49^(k) + 1 is a factor of the sum 49¹²⁵ + 49¹²⁴ +..... + 49² + 49 + 1, is:Binomial Theorem and Its Simple Applications
Q3181If Re ((z - 1)/(2z + i)) = 1, where z = x + iy, then the point (x, y) lies on a:Complex Numbers and Quadratic Equations
Q3387If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers, then 1/(a + b)∫ a ^(b) x(f(x) + f(x + 1)) dx is equal to:Integral Calculus
Q3603If y = y(x) is the solution of the differential equation, e^(y)(dy/dx - 1) = eˣ such that y(0) = 0, then y(1) is equal to:Differential Equations
Q3669Let x^(k) + y^(k) = a^(k), (a, k > 0) and dy/dx + (y/x)^(1/3) = 0, then k is:Limit, Continuity and Differentiability
Q3670If y(α) = √(2((tan α + cot α)/(1 + tan ²α)) + 1/(sin ²α)),α ((3π)/4,π) dy/(dα) at α = (5π)/6is:Limit, Continuity and Differentiability
Q3755If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is:Coordinate Geometry
Q3820If g(x) = x² + x - 1 and (goƒ) (x) = 4x² - 10x + 5, then ƒ (5/4) is equal to:Sets, Relations and Functions
Q4337The logical statement (p ⇒ q) Λ (q ⇒ ~p) is equivalent to:Mathematical Reasoning
Q4500Let α be a root of the equation x² + x + 1 = 0 and the matrix A = 1/(3)[ 1 1 1 1 α α ² 1 α ² α ⁴ ] then the matrix A³¹ is equal toMatrices and Determinants
Q4585If the system of linear equations 2x + 2ay + az = 0 2x + 3by + bz = 0 2x + 4cy + cz = 0, where a, b, c R are non-zero distinct; has a non-zero solution, then:Matrices and Determinants
Q4741If y = mx + 4 is a tangent to both the parabolas, y² = 4x and x² = 2by, then b is equal to:Coordinate Geometry
Q4846Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is:Permutations and Combinations
Q4997An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of k when k consecutive heads are obtained for k = 3, 4, 5, otherwise X…Statistics and Probability
Q5145Let α and β be two real roots of the equation (k + 1)tan²x - 2. λ tanx = (1 - k), where k(≠ - 1) and λ are real numbers. if tan² (α + β) = 50, then a value of…Complex Numbers and Quadratic Equations
Q5218Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is - 1/2, then the greatest number amongst them is:Sequence and Series
Q5772A vector a = α i + 2 j + β k(α,β R) lies in the plane of the vectors, b = i + j and c = i - j + 4 k. If a bisects the angle between b and c, then:Vector Algebra